TSTP Solution File: SWV262-1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV262-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n012.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 19:10:31 EDT 2022
% Result : Unknown 169.54s 170.79s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV262-1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 15 11:37:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Running in mono-core mode
% 0.44/0.82 % Orienting using strategy Equiv(ClausalAll)
% 0.44/0.82 % Orientation found
% 0.44/0.82 % 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_c92ce2.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_408963.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_0ddd3b | grep -v "SZS"
% 0.69/0.83
% 0.69/0.83 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.69/0.83
% 0.69/0.83 %
% 0.69/0.83 % ------ iProver source info
% 0.69/0.83
% 0.69/0.83 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.69/0.83 % git: non_committed_changes: true
% 0.69/0.83 % git: last_make_outside_of_git: true
% 0.69/0.83
% 0.69/0.83 %
% 0.69/0.83 % ------ Input Options
% 0.69/0.83
% 0.69/0.83 % --out_options all
% 0.69/0.83 % --tptp_safe_out true
% 0.69/0.83 % --problem_path ""
% 0.69/0.83 % --include_path ""
% 0.69/0.83 % --clausifier .//eprover
% 0.69/0.83 % --clausifier_options --tstp-format
% 0.69/0.83 % --stdin false
% 0.69/0.83 % --dbg_backtrace false
% 0.69/0.83 % --dbg_dump_prop_clauses false
% 0.69/0.83 % --dbg_dump_prop_clauses_file -
% 0.69/0.83 % --dbg_out_stat false
% 0.69/0.83
% 0.69/0.83 % ------ General Options
% 0.69/0.83
% 0.69/0.83 % --fof false
% 0.69/0.83 % --time_out_real 150.
% 0.69/0.83 % --time_out_prep_mult 0.2
% 0.69/0.83 % --time_out_virtual -1.
% 0.69/0.83 % --schedule none
% 0.69/0.83 % --ground_splitting input
% 0.69/0.83 % --splitting_nvd 16
% 0.69/0.83 % --non_eq_to_eq false
% 0.69/0.83 % --prep_gs_sim true
% 0.69/0.83 % --prep_unflatten false
% 0.69/0.83 % --prep_res_sim true
% 0.69/0.83 % --prep_upred true
% 0.69/0.83 % --res_sim_input true
% 0.69/0.83 % --clause_weak_htbl true
% 0.69/0.83 % --gc_record_bc_elim false
% 0.69/0.83 % --symbol_type_check false
% 0.69/0.83 % --clausify_out false
% 0.69/0.83 % --large_theory_mode false
% 0.69/0.83 % --prep_sem_filter none
% 0.69/0.83 % --prep_sem_filter_out false
% 0.69/0.83 % --preprocessed_out false
% 0.69/0.83 % --sub_typing false
% 0.69/0.83 % --brand_transform false
% 0.69/0.83 % --pure_diseq_elim true
% 0.69/0.83 % --min_unsat_core false
% 0.69/0.83 % --pred_elim true
% 0.69/0.83 % --add_important_lit false
% 0.69/0.83 % --soft_assumptions false
% 0.69/0.83 % --reset_solvers false
% 0.69/0.83 % --bc_imp_inh []
% 0.69/0.83 % --conj_cone_tolerance 1.5
% 0.69/0.83 % --prolific_symb_bound 500
% 0.69/0.83 % --lt_threshold 2000
% 0.69/0.83
% 0.69/0.83 % ------ SAT Options
% 0.69/0.83
% 0.69/0.83 % --sat_mode false
% 0.69/0.83 % --sat_fm_restart_options ""
% 0.69/0.83 % --sat_gr_def false
% 0.69/0.83 % --sat_epr_types true
% 0.69/0.83 % --sat_non_cyclic_types false
% 0.69/0.83 % --sat_finite_models false
% 0.69/0.83 % --sat_fm_lemmas false
% 0.69/0.83 % --sat_fm_prep false
% 0.69/0.83 % --sat_fm_uc_incr true
% 0.69/0.83 % --sat_out_model small
% 0.69/0.83 % --sat_out_clauses false
% 0.69/0.83
% 0.69/0.83 % ------ QBF Options
% 0.69/0.83
% 0.69/0.83 % --qbf_mode false
% 0.69/0.83 % --qbf_elim_univ true
% 0.69/0.83 % --qbf_sk_in true
% 0.69/0.83 % --qbf_pred_elim true
% 0.69/0.83 % --qbf_split 32
% 0.69/0.83
% 0.69/0.83 % ------ BMC1 Options
% 0.69/0.83
% 0.69/0.83 % --bmc1_incremental false
% 0.69/0.83 % --bmc1_axioms reachable_all
% 0.69/0.83 % --bmc1_min_bound 0
% 0.69/0.83 % --bmc1_max_bound -1
% 0.69/0.83 % --bmc1_max_bound_default -1
% 0.69/0.83 % --bmc1_symbol_reachability true
% 0.69/0.83 % --bmc1_property_lemmas false
% 0.69/0.83 % --bmc1_k_induction false
% 0.69/0.83 % --bmc1_non_equiv_states false
% 0.69/0.83 % --bmc1_deadlock false
% 0.69/0.83 % --bmc1_ucm false
% 0.69/0.83 % --bmc1_add_unsat_core none
% 0.69/0.83 % --bmc1_unsat_core_children false
% 0.69/0.83 % --bmc1_unsat_core_extrapolate_axioms false
% 0.69/0.83 % --bmc1_out_stat full
% 0.69/0.83 % --bmc1_ground_init false
% 0.69/0.83 % --bmc1_pre_inst_next_state false
% 0.69/0.83 % --bmc1_pre_inst_state false
% 0.69/0.83 % --bmc1_pre_inst_reach_state false
% 0.69/0.83 % --bmc1_out_unsat_core false
% 0.69/0.83 % --bmc1_aig_witness_out false
% 0.69/0.83 % --bmc1_verbose false
% 0.69/0.83 % --bmc1_dump_clauses_tptp false
% 8.04/9.12 % --bmc1_dump_unsat_core_tptp false
% 8.04/9.12 % --bmc1_dump_file -
% 8.04/9.12 % --bmc1_ucm_expand_uc_limit 128
% 8.04/9.12 % --bmc1_ucm_n_expand_iterations 6
% 8.04/9.12 % --bmc1_ucm_extend_mode 1
% 8.04/9.12 % --bmc1_ucm_init_mode 2
% 8.04/9.12 % --bmc1_ucm_cone_mode none
% 8.04/9.12 % --bmc1_ucm_reduced_relation_type 0
% 8.04/9.12 % --bmc1_ucm_relax_model 4
% 8.04/9.12 % --bmc1_ucm_full_tr_after_sat true
% 8.04/9.12 % --bmc1_ucm_expand_neg_assumptions false
% 8.04/9.12 % --bmc1_ucm_layered_model none
% 8.04/9.12 % --bmc1_ucm_max_lemma_size 10
% 8.04/9.12
% 8.04/9.12 % ------ AIG Options
% 8.04/9.12
% 8.04/9.12 % --aig_mode false
% 8.04/9.12
% 8.04/9.12 % ------ Instantiation Options
% 8.04/9.12
% 8.04/9.12 % --instantiation_flag true
% 8.04/9.12 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 8.04/9.12 % --inst_solver_per_active 750
% 8.04/9.12 % --inst_solver_calls_frac 0.5
% 8.04/9.12 % --inst_passive_queue_type priority_queues
% 8.04/9.12 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 8.04/9.12 % --inst_passive_queues_freq [25;2]
% 8.04/9.12 % --inst_dismatching true
% 8.04/9.12 % --inst_eager_unprocessed_to_passive true
% 8.04/9.12 % --inst_prop_sim_given true
% 8.04/9.12 % --inst_prop_sim_new false
% 8.04/9.12 % --inst_orphan_elimination true
% 8.04/9.12 % --inst_learning_loop_flag true
% 8.04/9.12 % --inst_learning_start 3000
% 8.04/9.12 % --inst_learning_factor 2
% 8.04/9.12 % --inst_start_prop_sim_after_learn 3
% 8.04/9.12 % --inst_sel_renew solver
% 8.04/9.12 % --inst_lit_activity_flag true
% 8.04/9.12 % --inst_out_proof true
% 8.04/9.12
% 8.04/9.12 % ------ Resolution Options
% 8.04/9.12
% 8.04/9.12 % --resolution_flag true
% 8.04/9.12 % --res_lit_sel kbo_max
% 8.04/9.12 % --res_to_prop_solver none
% 8.04/9.12 % --res_prop_simpl_new false
% 8.04/9.12 % --res_prop_simpl_given false
% 8.04/9.12 % --res_passive_queue_type priority_queues
% 8.04/9.12 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 8.04/9.12 % --res_passive_queues_freq [15;5]
% 8.04/9.12 % --res_forward_subs full
% 8.04/9.12 % --res_backward_subs full
% 8.04/9.12 % --res_forward_subs_resolution true
% 8.04/9.12 % --res_backward_subs_resolution true
% 8.04/9.12 % --res_orphan_elimination false
% 8.04/9.12 % --res_time_limit 1000.
% 8.04/9.12 % --res_out_proof true
% 8.04/9.12 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c92ce2.s
% 8.04/9.12 % --modulo true
% 8.04/9.12
% 8.04/9.12 % ------ Combination Options
% 8.04/9.12
% 8.04/9.12 % --comb_res_mult 1000
% 8.04/9.12 % --comb_inst_mult 300
% 8.04/9.12 % ------
% 8.04/9.12
% 8.04/9.12 % ------ Parsing...% successful
% 8.04/9.12
% 8.04/9.12 % ------ 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 %
% 8.04/9.12
% 8.04/9.12 % ------ Proving...
% 8.04/9.12 % ------ Problem Properties
% 8.04/9.12
% 8.04/9.12 %
% 8.04/9.12 % EPR false
% 8.04/9.12 % Horn false
% 8.04/9.12 % Has equality true
% 8.04/9.12
% 8.04/9.12 % % ------ Input Options Time Limit: Unbounded
% 8.04/9.12
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% 25.25/26.77 % % ------ Current options:
% 25.25/26.77
% 25.25/26.77 % ------ Input Options
% 25.25/26.77
% 25.25/26.77 % --out_options all
% 25.25/26.77 % --tptp_safe_out true
% 25.25/26.77 % --problem_path ""
% 25.25/26.77 % --include_path ""
% 25.25/26.77 % --clausifier .//eprover
% 25.25/26.77 % --clausifier_options --tstp-format
% 25.25/26.77 % --stdin false
% 25.25/26.77 % --dbg_backtrace false
% 25.25/26.77 % --dbg_dump_prop_clauses false
% 25.25/26.77 % --dbg_dump_prop_clauses_file -
% 25.25/26.77 % --dbg_out_stat false
% 25.25/26.77
% 25.25/26.77 % ------ General Options
% 25.25/26.77
% 25.25/26.77 % --fof false
% 25.25/26.77 % --time_out_real 150.
% 25.25/26.77 % --time_out_prep_mult 0.2
% 25.25/26.77 % --time_out_virtual -1.
% 25.25/26.77 % --schedule none
% 25.25/26.77 % --ground_splitting input
% 25.25/26.77 % --splitting_nvd 16
% 25.25/26.77 % --non_eq_to_eq false
% 25.25/26.77 % --prep_gs_sim true
% 25.25/26.77 % --prep_unflatten false
% 25.25/26.77 % --prep_res_sim true
% 25.25/26.77 % --prep_upred true
% 25.25/26.77 % --res_sim_input true
% 25.25/26.77 % --clause_weak_htbl true
% 25.25/26.77 % --gc_record_bc_elim false
% 25.25/26.77 % --symbol_type_check false
% 25.25/26.77 % --clausify_out false
% 25.25/26.77 % --large_theory_mode false
% 25.25/26.77 % --prep_sem_filter none
% 25.25/26.77 % --prep_sem_filter_out false
% 25.25/26.77 % --preprocessed_out false
% 25.25/26.77 % --sub_typing false
% 25.25/26.77 % --brand_transform false
% 25.25/26.77 % --pure_diseq_elim true
% 25.25/26.77 % --min_unsat_core false
% 25.25/26.77 % --pred_elim true
% 25.25/26.77 % --add_important_lit false
% 25.25/26.77 % --soft_assumptions false
% 25.25/26.77 % --reset_solvers false
% 25.25/26.77 % --bc_imp_inh []
% 25.25/26.77 % --conj_cone_tolerance 1.5
% 25.25/26.77 % --prolific_symb_bound 500
% 25.25/26.77 % --lt_threshold 2000
% 25.25/26.77
% 25.25/26.77 % ------ SAT Options
% 25.25/26.77
% 25.25/26.77 % --sat_mode false
% 25.25/26.77 % --sat_fm_restart_options ""
% 25.25/26.77 % --sat_gr_def false
% 25.25/26.77 % --sat_epr_types true
% 25.25/26.77 % --sat_non_cyclic_types false
% 25.25/26.77 % --sat_finite_models false
% 25.25/26.77 % --sat_fm_lemmas false
% 25.25/26.77 % --sat_fm_prep false
% 25.25/26.77 % --sat_fm_uc_incr true
% 25.25/26.77 % --sat_out_model small
% 25.25/26.77 % --sat_out_clauses false
% 25.25/26.77
% 25.25/26.77 % ------ QBF Options
% 25.25/26.77
% 25.25/26.77 % --qbf_mode false
% 25.25/26.77 % --qbf_elim_univ true
% 25.25/26.77 % --qbf_sk_in true
% 25.25/26.77 % --qbf_pred_elim true
% 25.25/26.77 % --qbf_split 32
% 25.25/26.77
% 25.25/26.77 % ------ BMC1 Options
% 25.25/26.77
% 25.25/26.77 % --bmc1_incremental false
% 25.25/26.77 % --bmc1_axioms reachable_all
% 25.25/26.77 % --bmc1_min_bound 0
% 25.25/26.77 % --bmc1_max_bound -1
% 25.25/26.77 % --bmc1_max_bound_default -1
% 25.25/26.77 % --bmc1_symbol_reachability true
% 25.25/26.77 % --bmc1_property_lemmas false
% 25.25/26.77 % --bmc1_k_induction false
% 25.25/26.77 % --bmc1_non_equiv_states false
% 25.25/26.77 % --bmc1_deadlock false
% 25.25/26.77 % --bmc1_ucm false
% 25.25/26.77 % --bmc1_add_unsat_core none
% 25.25/26.77 % --bmc1_unsat_core_children false
% 149.49/150.83 % --bmc1_unsat_core_extrapolate_axioms false
% 149.49/150.83 % --bmc1_out_stat full
% 149.49/150.83 % --bmc1_ground_init false
% 149.49/150.83 % --bmc1_pre_inst_next_state false
% 149.49/150.83 % --bmc1_pre_inst_state false
% 149.49/150.83 % --bmc1_pre_inst_reach_state false
% 149.49/150.83 % --bmc1_out_unsat_core false
% 149.49/150.83 % --bmc1_aig_witness_out false
% 149.49/150.83 % --bmc1_verbose false
% 149.49/150.83 % --bmc1_dump_clauses_tptp false
% 149.49/150.83 % --bmc1_dump_unsat_core_tptp false
% 149.49/150.83 % --bmc1_dump_file -
% 149.49/150.83 % --bmc1_ucm_expand_uc_limit 128
% 149.49/150.83 % --bmc1_ucm_n_expand_iterations 6
% 149.49/150.83 % --bmc1_ucm_extend_mode 1
% 149.49/150.83 % --bmc1_ucm_init_mode 2
% 149.49/150.83 % --bmc1_ucm_cone_mode none
% 149.49/150.83 % --bmc1_ucm_reduced_relation_type 0
% 149.49/150.83 % --bmc1_ucm_relax_model 4
% 149.49/150.83 % --bmc1_ucm_full_tr_after_sat true
% 149.49/150.83 % --bmc1_ucm_expand_neg_assumptions false
% 149.49/150.83 % --bmc1_ucm_layered_model none
% 149.49/150.83 % --bmc1_ucm_max_lemma_size 10
% 149.49/150.83
% 149.49/150.83 % ------ AIG Options
% 149.49/150.83
% 149.49/150.83 % --aig_mode false
% 149.49/150.83
% 149.49/150.83 % ------ Instantiation Options
% 149.49/150.83
% 149.49/150.83 % --instantiation_flag true
% 149.49/150.83 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 149.49/150.83 % --inst_solver_per_active 750
% 149.49/150.83 % --inst_solver_calls_frac 0.5
% 149.49/150.83 % --inst_passive_queue_type priority_queues
% 149.49/150.83 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 149.49/150.83 % --inst_passive_queues_freq [25;2]
% 149.49/150.83 % --inst_dismatching true
% 149.49/150.83 % --inst_eager_unprocessed_to_passive true
% 149.49/150.83 % --inst_prop_sim_given true
% 149.49/150.83 % --inst_prop_sim_new false
% 149.49/150.83 % --inst_orphan_elimination true
% 149.49/150.83 % --inst_learning_loop_flag true
% 149.49/150.83 % --inst_learning_start 3000
% 149.49/150.83 % --inst_learning_factor 2
% 149.49/150.83 % --inst_start_prop_sim_after_learn 3
% 149.49/150.83 % --inst_sel_renew solver
% 149.49/150.83 % --inst_lit_activity_flag true
% 149.49/150.83 % --inst_out_proof true
% 149.49/150.83
% 149.49/150.83 % ------ Resolution Options
% 149.49/150.83
% 149.49/150.83 % --resolution_flag true
% 149.49/150.83 % --res_lit_sel kbo_max
% 149.49/150.83 % --res_to_prop_solver none
% 149.49/150.83 % --res_prop_simpl_new false
% 149.49/150.83 % --res_prop_simpl_given false
% 149.49/150.83 % --res_passive_queue_type priority_queues
% 149.49/150.83 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 149.49/150.83 % --res_passive_queues_freq [15;5]
% 149.49/150.83 % --res_forward_subs full
% 149.49/150.83 % --res_backward_subs full
% 149.49/150.83 % --res_forward_subs_resolution true
% 149.49/150.83 % --res_backward_subs_resolution true
% 149.49/150.83 % --res_orphan_elimination false
% 149.49/150.83 % --res_time_limit 1000.
% 149.49/150.83 % --res_out_proof true
% 149.49/150.83 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c92ce2.s
% 149.49/150.83 % --modulo true
% 149.49/150.83
% 149.49/150.83 % ------ Combination Options
% 149.49/150.83
% 149.49/150.83 % --comb_res_mult 1000
% 149.49/150.83 % --comb_inst_mult 300
% 149.49/150.83 % ------
% 149.49/150.83
% 149.49/150.83
% 149.49/150.83
% 149.49/150.83 % ------ Proving...
% 149.49/150.83 %
% 149.49/150.83
% 149.49/150.83
% 149.49/150.83 % Time Out Real
% 149.49/150.83
% 149.49/150.83 % ------ Statistics
% 149.49/150.83
% 149.49/150.83 % ------ General
% 149.49/150.83
% 149.49/150.83 % num_of_input_clauses: 6051
% 149.49/150.83 % num_of_input_neg_conjectures: 1
% 149.49/150.83 % num_of_splits: 0
% 149.49/150.83 % num_of_split_atoms: 0
% 149.49/150.83 % num_of_sem_filtered_clauses: 0
% 149.49/150.83 % num_of_subtypes: 0
% 149.49/150.83 % monotx_restored_types: 0
% 149.49/150.83 % sat_num_of_epr_types: 0
% 149.49/150.83 % sat_num_of_non_cyclic_types: 0
% 149.49/150.83 % sat_guarded_non_collapsed_types: 0
% 149.49/150.83 % is_epr: 0
% 149.49/150.83 % is_horn: 0
% 149.49/150.83 % has_eq: 1
% 149.49/150.83 % num_pure_diseq_elim: 0
% 149.49/150.83 % simp_replaced_by: 0
% 149.49/150.83 % res_preprocessed: 2
% 149.49/150.83 % prep_upred: 0
% 149.49/150.83 % prep_unflattend: 0
% 149.49/150.83 % pred_elim_cands: 0
% 149.49/150.83 % pred_elim: 0
% 149.51/150.85 % pred_elim_cl: 0
% 149.51/150.85 % pred_elim_cycles: 0
% 149.51/150.85 % forced_gc_time: 0
% 149.51/150.85 % gc_basic_clause_elim: 0
% 149.51/150.85 % parsing_time: 0.149
% 149.51/150.85 % sem_filter_time: 0.
% 149.51/150.85 % pred_elim_time: 0.
% 149.51/150.85 % out_proof_time: 0.
% 149.51/150.85 % monotx_time: 0.
% 149.51/150.85 % subtype_inf_time: 0.
% 149.51/150.85 % unif_index_cands_time: 0.119
% 149.51/150.85 % unif_index_add_time: 0.193
% 149.51/150.85 % total_time: 150.01
% 149.51/150.85 % num_of_symbols: 361
% 149.51/150.85 % num_of_terms: 4569956
% 149.51/150.85
% 149.51/150.85 % ------ Propositional Solver
% 149.51/150.85
% 149.51/150.85 % prop_solver_calls: 13
% 149.51/150.85 % prop_fast_solver_calls: 3
% 149.51/150.85 % prop_num_of_clauses: 40912
% 149.51/150.85 % prop_preprocess_simplified: 107592
% 149.51/150.85 % prop_fo_subsumed: 0
% 149.51/150.85 % prop_solver_time: 0.004
% 149.51/150.85 % prop_fast_solver_time: 0.
% 149.51/150.85 % prop_unsat_core_time: 0.
% 149.51/150.85
% 149.51/150.85 % ------ QBF
% 149.51/150.85
% 149.51/150.85 % qbf_q_res: 0
% 149.51/150.85 % qbf_num_tautologies: 0
% 149.51/150.85 % qbf_prep_cycles: 0
% 149.51/150.85
% 149.51/150.85 % ------ BMC1
% 149.51/150.85
% 149.51/150.85 % bmc1_current_bound: -1
% 149.51/150.85 % bmc1_last_solved_bound: -1
% 149.51/150.85 % bmc1_unsat_core_size: -1
% 149.51/150.85 % bmc1_unsat_core_parents_size: -1
% 149.51/150.85 % bmc1_merge_next_fun: 0
% 149.51/150.85 % bmc1_unsat_core_clauses_time: 0.
% 149.51/150.85
% 149.51/150.85 % ------ Instantiation
% 149.51/150.85
% 149.51/150.85 % inst_num_of_clauses: 27153
% 149.51/150.85 % inst_num_in_passive: 18715
% 149.51/150.85 % inst_num_in_active: 3197
% 149.51/150.85 % inst_num_in_unprocessed: 5233
% 149.51/150.85 % inst_num_of_loops: 3199
% 149.51/150.85 % inst_num_of_learning_restarts: 1
% 149.51/150.85 % inst_num_moves_active_passive: 0
% 149.51/150.85 % inst_lit_activity: 19780
% 149.51/150.85 % inst_lit_activity_moves: 0
% 149.51/150.85 % inst_num_tautologies: 0
% 149.51/150.85 % inst_num_prop_implied: 0
% 149.51/150.85 % inst_num_existing_simplified: 0
% 149.51/150.85 % inst_num_eq_res_simplified: 0
% 149.51/150.85 % inst_num_child_elim: 0
% 149.51/150.85 % inst_num_of_dismatching_blockings: 149
% 149.51/150.85 % inst_num_of_non_proper_insts: 6033
% 149.51/150.85 % inst_num_of_duplicates: 23196
% 149.51/150.85 % inst_inst_num_from_inst_to_res: 0
% 149.51/150.85 % inst_dismatching_checking_time: 2.094
% 149.51/150.85
% 149.51/150.85 % ------ Resolution
% 149.51/150.85
% 149.51/150.85 % res_num_of_clauses: 1101312
% 149.51/150.85 % res_num_in_passive: 1077688
% 149.51/150.85 % res_num_in_active: 19693
% 149.51/150.85 % res_num_of_loops: 21000
% 149.51/150.85 % res_forward_subset_subsumed: 6019
% 149.51/150.85 % res_backward_subset_subsumed: 19
% 149.51/150.85 % res_forward_subsumed: 3679
% 149.51/150.85 % res_backward_subsumed: 0
% 149.51/150.85 % res_forward_subsumption_resolution: 11
% 149.51/150.85 % res_backward_subsumption_resolution: 0
% 149.51/150.85 % res_clause_to_clause_subsumption: 40375
% 149.51/150.85 % res_orphan_elimination: 0
% 149.51/150.85 % res_tautology_del: 23
% 149.51/150.85 % res_num_eq_res_simplified: 1
% 149.51/150.85 % res_num_sel_changes: 0
% 149.51/150.85 % res_moves_from_active_to_pass: 0
% 149.51/150.85
% 149.51/150.85 % Status Unknown
% 149.93/151.28 % Orienting using strategy ClausalAll
% 149.93/151.28 % Orientation found
% 149.93/151.28 % 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_c92ce2.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_408963.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_261bc8 | grep -v "SZS"
% 150.01/151.30
% 150.01/151.30 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.01/151.30
% 150.01/151.30 %
% 150.01/151.30 % ------ iProver source info
% 150.01/151.30
% 150.01/151.30 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.01/151.30 % git: non_committed_changes: true
% 150.01/151.30 % git: last_make_outside_of_git: true
% 150.01/151.30
% 150.01/151.30 %
% 150.01/151.30 % ------ Input Options
% 150.01/151.30
% 150.01/151.30 % --out_options all
% 150.01/151.30 % --tptp_safe_out true
% 150.01/151.30 % --problem_path ""
% 150.01/151.30 % --include_path ""
% 150.01/151.30 % --clausifier .//eprover
% 150.01/151.30 % --clausifier_options --tstp-format
% 150.01/151.30 % --stdin false
% 150.01/151.30 % --dbg_backtrace false
% 150.01/151.30 % --dbg_dump_prop_clauses false
% 150.01/151.30 % --dbg_dump_prop_clauses_file -
% 150.01/151.30 % --dbg_out_stat false
% 150.01/151.30
% 150.01/151.30 % ------ General Options
% 150.01/151.30
% 150.01/151.30 % --fof false
% 150.01/151.30 % --time_out_real 150.
% 150.01/151.30 % --time_out_prep_mult 0.2
% 150.01/151.30 % --time_out_virtual -1.
% 150.01/151.30 % --schedule none
% 150.01/151.30 % --ground_splitting input
% 150.01/151.30 % --splitting_nvd 16
% 150.01/151.30 % --non_eq_to_eq false
% 150.01/151.30 % --prep_gs_sim true
% 150.01/151.30 % --prep_unflatten false
% 150.01/151.30 % --prep_res_sim true
% 150.01/151.30 % --prep_upred true
% 150.01/151.30 % --res_sim_input true
% 150.01/151.30 % --clause_weak_htbl true
% 150.01/151.30 % --gc_record_bc_elim false
% 150.01/151.30 % --symbol_type_check false
% 150.01/151.30 % --clausify_out false
% 150.01/151.30 % --large_theory_mode false
% 150.01/151.30 % --prep_sem_filter none
% 150.01/151.30 % --prep_sem_filter_out false
% 150.01/151.30 % --preprocessed_out false
% 150.01/151.30 % --sub_typing false
% 150.01/151.30 % --brand_transform false
% 150.01/151.30 % --pure_diseq_elim true
% 150.01/151.30 % --min_unsat_core false
% 150.01/151.30 % --pred_elim true
% 150.01/151.30 % --add_important_lit false
% 150.01/151.30 % --soft_assumptions false
% 150.01/151.30 % --reset_solvers false
% 150.01/151.30 % --bc_imp_inh []
% 150.01/151.30 % --conj_cone_tolerance 1.5
% 150.01/151.30 % --prolific_symb_bound 500
% 150.01/151.30 % --lt_threshold 2000
% 150.01/151.30
% 150.01/151.30 % ------ SAT Options
% 150.01/151.30
% 150.01/151.30 % --sat_mode false
% 150.01/151.30 % --sat_fm_restart_options ""
% 150.01/151.30 % --sat_gr_def false
% 150.01/151.30 % --sat_epr_types true
% 150.01/151.30 % --sat_non_cyclic_types false
% 150.01/151.30 % --sat_finite_models false
% 150.01/151.30 % --sat_fm_lemmas false
% 150.01/151.30 % --sat_fm_prep false
% 150.01/151.30 % --sat_fm_uc_incr true
% 150.01/151.30 % --sat_out_model small
% 150.01/151.30 % --sat_out_clauses false
% 150.01/151.30
% 150.01/151.30 % ------ QBF Options
% 150.01/151.30
% 150.01/151.30 % --qbf_mode false
% 150.01/151.30 % --qbf_elim_univ true
% 150.01/151.30 % --qbf_sk_in true
% 150.01/151.30 % --qbf_pred_elim true
% 150.01/151.30 % --qbf_split 32
% 150.01/151.30
% 150.01/151.30 % ------ BMC1 Options
% 150.01/151.30
% 150.01/151.30 % --bmc1_incremental false
% 150.01/151.30 % --bmc1_axioms reachable_all
% 150.01/151.30 % --bmc1_min_bound 0
% 150.01/151.30 % --bmc1_max_bound -1
% 150.01/151.30 % --bmc1_max_bound_default -1
% 150.01/151.30 % --bmc1_symbol_reachability true
% 150.01/151.30 % --bmc1_property_lemmas false
% 150.01/151.30 % --bmc1_k_induction false
% 150.01/151.30 % --bmc1_non_equiv_states false
% 150.01/151.30 % --bmc1_deadlock false
% 150.01/151.30 % --bmc1_ucm false
% 150.01/151.30 % --bmc1_add_unsat_core none
% 150.01/151.30 % --bmc1_unsat_core_children false
% 150.01/151.30 % --bmc1_unsat_core_extrapolate_axioms false
% 150.01/151.30 % --bmc1_out_stat full
% 150.01/151.30 % --bmc1_ground_init false
% 150.01/151.30 % --bmc1_pre_inst_next_state false
% 150.01/151.30 % --bmc1_pre_inst_state false
% 150.01/151.30 % --bmc1_pre_inst_reach_state false
% 150.01/151.30 % --bmc1_out_unsat_core false
% 150.01/151.30 % --bmc1_aig_witness_out false
% 150.01/151.30 % --bmc1_verbose false
% 150.01/151.30 % --bmc1_dump_clauses_tptp false
% 160.30/161.67 % --bmc1_dump_unsat_core_tptp false
% 160.30/161.67 % --bmc1_dump_file -
% 160.30/161.67 % --bmc1_ucm_expand_uc_limit 128
% 160.30/161.67 % --bmc1_ucm_n_expand_iterations 6
% 160.30/161.67 % --bmc1_ucm_extend_mode 1
% 160.30/161.67 % --bmc1_ucm_init_mode 2
% 160.30/161.67 % --bmc1_ucm_cone_mode none
% 160.30/161.67 % --bmc1_ucm_reduced_relation_type 0
% 160.30/161.67 % --bmc1_ucm_relax_model 4
% 160.30/161.67 % --bmc1_ucm_full_tr_after_sat true
% 160.30/161.67 % --bmc1_ucm_expand_neg_assumptions false
% 160.30/161.67 % --bmc1_ucm_layered_model none
% 160.30/161.67 % --bmc1_ucm_max_lemma_size 10
% 160.30/161.67
% 160.30/161.67 % ------ AIG Options
% 160.30/161.67
% 160.30/161.67 % --aig_mode false
% 160.30/161.67
% 160.30/161.67 % ------ Instantiation Options
% 160.30/161.67
% 160.30/161.67 % --instantiation_flag true
% 160.30/161.67 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 160.30/161.67 % --inst_solver_per_active 750
% 160.30/161.67 % --inst_solver_calls_frac 0.5
% 160.30/161.67 % --inst_passive_queue_type priority_queues
% 160.30/161.67 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 160.30/161.67 % --inst_passive_queues_freq [25;2]
% 160.30/161.67 % --inst_dismatching true
% 160.30/161.67 % --inst_eager_unprocessed_to_passive true
% 160.30/161.67 % --inst_prop_sim_given true
% 160.30/161.67 % --inst_prop_sim_new false
% 160.30/161.67 % --inst_orphan_elimination true
% 160.30/161.67 % --inst_learning_loop_flag true
% 160.30/161.67 % --inst_learning_start 3000
% 160.30/161.67 % --inst_learning_factor 2
% 160.30/161.67 % --inst_start_prop_sim_after_learn 3
% 160.30/161.67 % --inst_sel_renew solver
% 160.30/161.67 % --inst_lit_activity_flag true
% 160.30/161.67 % --inst_out_proof true
% 160.30/161.67
% 160.30/161.67 % ------ Resolution Options
% 160.30/161.67
% 160.30/161.67 % --resolution_flag true
% 160.30/161.67 % --res_lit_sel kbo_max
% 160.30/161.67 % --res_to_prop_solver none
% 160.30/161.67 % --res_prop_simpl_new false
% 160.30/161.67 % --res_prop_simpl_given false
% 160.30/161.67 % --res_passive_queue_type priority_queues
% 160.30/161.67 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 160.30/161.67 % --res_passive_queues_freq [15;5]
% 160.30/161.67 % --res_forward_subs full
% 160.30/161.67 % --res_backward_subs full
% 160.30/161.67 % --res_forward_subs_resolution true
% 160.30/161.67 % --res_backward_subs_resolution true
% 160.30/161.67 % --res_orphan_elimination false
% 160.30/161.67 % --res_time_limit 1000.
% 160.30/161.67 % --res_out_proof true
% 160.30/161.67 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c92ce2.s
% 160.30/161.67 % --modulo true
% 160.30/161.67
% 160.30/161.67 % ------ Combination Options
% 160.30/161.67
% 160.30/161.67 % --comb_res_mult 1000
% 160.30/161.67 % --comb_inst_mult 300
% 160.30/161.67 % ------
% 160.30/161.67
% 160.30/161.67 % ------ Parsing...% successful
% 160.30/161.67
% 160.30/161.67 % ------ 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 %
% 160.30/161.67
% 160.30/161.67 % ------ Proving...
% 160.30/161.67 % ------ Problem Properties
% 160.30/161.67
% 160.30/161.67 %
% 160.30/161.67 % EPR false
% 160.30/161.67 % Horn false
% 160.30/161.67 % Has equality true
% 160.30/161.67
% 160.30/161.67 % % ------ Input Options Time Limit: Unbounded
% 160.30/161.67
% 160.30/161.67
% 160.30/161.67 Compiling...
% 160.30/161.67 Loading plugin: done.
% 160.30/161.67 Compiling...
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% 160.30/161.67 Compiling...
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% 160.30/161.67 Compiling...
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% 160.30/161.67 Compiling...
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% 160.30/161.67 Compiling...
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% 160.30/161.67 Compiling...
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% 160.30/161.67 Compiling...
% 160.30/161.67 Loading plugin: done.
% 160.30/161.67 Compiling...
% 169.33/170.63 Loading plugin: done.
% 169.33/170.63 Compiling...
% 169.33/170.63 Loading plugin: done.
% 169.33/170.63 Compiling...
% 169.33/170.63 Loading plugin: done.
% 169.33/170.63 Compiling...
% 169.33/170.63 Loading plugin: done.
% 169.33/170.63 Compiling...
% 169.33/170.63 Loading plugin: done.
% 169.33/170.63 Compiling...
% 169.33/170.63 Loading plugin: done.
% 169.33/170.63 Compiling...
% 169.33/170.63 Loading plugin: done.
% 169.33/170.63 Compiling...
% 169.33/170.63 Loading plugin: done.
% 169.33/170.63 % % ------ Current options:
% 169.33/170.63
% 169.33/170.63 % ------ Input Options
% 169.33/170.63
% 169.33/170.63 % --out_options all
% 169.33/170.63 % --tptp_safe_out true
% 169.33/170.63 % --problem_path ""
% 169.33/170.63 % --include_path ""
% 169.33/170.63 % --clausifier .//eprover
% 169.33/170.63 % --clausifier_options --tstp-format
% 169.33/170.63 % --stdin false
% 169.33/170.63 % --dbg_backtrace false
% 169.33/170.63 % --dbg_dump_prop_clauses false
% 169.33/170.63 % --dbg_dump_prop_clauses_file -
% 169.33/170.63 % --dbg_out_stat false
% 169.33/170.63
% 169.33/170.63 % ------ General Options
% 169.33/170.63
% 169.33/170.63 % --fof false
% 169.33/170.63 % --time_out_real 150.
% 169.33/170.63 % --time_out_prep_mult 0.2
% 169.33/170.63 % --time_out_virtual -1.
% 169.33/170.63 % --schedule none
% 169.33/170.63 % --ground_splitting input
% 169.33/170.63 % --splitting_nvd 16
% 169.33/170.63 % --non_eq_to_eq false
% 169.33/170.63 % --prep_gs_sim true
% 169.33/170.63 % --prep_unflatten false
% 169.33/170.63 % --prep_res_sim true
% 169.33/170.63 % --prep_upred true
% 169.33/170.63 % --res_sim_input true
% 169.33/170.63 % --clause_weak_htbl true
% 169.33/170.63 % --gc_record_bc_elim false
% 169.33/170.63 % --symbol_type_check false
% 169.33/170.63 % --clausify_out false
% 169.33/170.63 % --large_theory_mode false
% 169.33/170.63 % --prep_sem_filter none
% 169.33/170.63 % --prep_sem_filter_out false
% 169.33/170.63 % --preprocessed_out false
% 169.33/170.63 % --sub_typing false
% 169.33/170.63 % --brand_transform false
% 169.33/170.63 % --pure_diseq_elim true
% 169.33/170.63 % --min_unsat_core false
% 169.33/170.63 % --pred_elim true
% 169.33/170.63 % --add_important_lit false
% 169.33/170.63 % --soft_assumptions false
% 169.33/170.63 % --reset_solvers false
% 169.33/170.63 % --bc_imp_inh []
% 169.33/170.63 % --conj_cone_tolerance 1.5
% 169.33/170.63 % --prolific_symb_bound 500
% 169.33/170.63 % --lt_threshold 2000
% 169.33/170.63
% 169.33/170.63 % ------ SAT Options
% 169.33/170.63
% 169.33/170.63 % --sat_mode false
% 169.33/170.63 % --sat_fm_restart_options ""
% 169.33/170.63 % --sat_gr_def false
% 169.33/170.63 % --sat_epr_types true
% 169.33/170.63 % --sat_non_cyclic_types false
% 169.33/170.63 % --sat_finite_models false
% 169.33/170.63 % --sat_fm_lemmas false
% 169.33/170.63 % --sat_fm_prep false
% 169.33/170.63 % --sat_fm_uc_incr true
% 169.33/170.63 % --sat_out_model small
% 169.33/170.63 % --sat_out_clauses false
% 169.33/170.63
% 169.33/170.63 % ------ QBF Options
% 169.33/170.63
% 169.33/170.63 % --qbf_mode false
% 169.33/170.63 % --qbf_elim_univ true
% 169.33/170.63 % --qbf_sk_in true
% 169.33/170.63 % --qbf_pred_elim true
% 169.33/170.63 % --qbf_split 32
% 169.33/170.63
% 169.33/170.63 % ------ BMC1 Options
% 169.33/170.63
% 169.33/170.63 % --bmc1_incremental false
% 169.33/170.63 % --bmc1_axioms reachable_all
% 169.33/170.63 % --bmc1_min_bound 0
% 169.33/170.63 % --bmc1_max_bound -1
% 169.33/170.63 % --bmc1_max_bound_default -1
% 169.33/170.63 % --bmc1_symbol_reachability true
% 169.33/170.63 % --bmc1_property_lemmas false
% 169.33/170.63 % --bmc1_k_induction false
% 169.33/170.63 % --bmc1_non_equiv_states false
% 169.33/170.63 % --bmc1_deadlock false
% 169.33/170.63 % --bmc1_ucm false
% 169.33/170.63 % --bmc1_add_unsat_core none
% 169.33/170.63 % --bmc1_unsat_core_children false
% 169.33/170.63 % --bmc1_unsat_core_extrapolate_axioms false
% 169.33/170.63 % --bmc1_out_stat full
% 169.33/170.63 % --bmc1_ground_init false
% 169.33/170.63 % --bmc1_pre_inst_next_state false
% 169.33/170.63 % --bmc1_pre_inst_state false
% 169.33/170.63 % --bmc1_pre_inst_reach_state false
% 169.33/170.63 % --bmc1_out_unsat_core false
% 169.33/170.63 % --bmc1_aig_witness_out false
% 169.33/170.64 % --bmc1_verbose false
% 169.33/170.64 % --bmc1_dump_clauses_tptp false
% 169.33/170.64 % --bmc1_dump_unsat_core_tptp false
% 169.33/170.64 % --bmc1_dump_file -
% 169.33/170.64 % --bmc1_ucm_expand_uc_limit 128
% 169.33/170.64 % --bmc1_ucm_n_expand_iterations 6
% 169.33/170.64 % --bmc1_ucm_extend_mode 1
% 169.33/170.64 % --bmc1_ucm_init_mode 2
% 169.33/170.64 % --bmc1_ucm_cone_mode none
% 169.33/170.64 % --bmc1_ucm_reduced_relation_type 0
% 169.33/170.64 % --bmc1_ucm_relax_model 4
% 169.33/170.64 % --bmc1_ucm_full_tr_after_sat true
% 169.33/170.64 % --bmc1_ucm_expand_neg_assumptions false
% 169.33/170.64 % --bmc1_ucm_layered_model none
% 169.33/170.64 % --bmc1_ucm_max_lemma_size 10
% 169.33/170.64
% 169.33/170.64 % ------ AIG Options
% 169.33/170.64
% 169.33/170.64 % --aig_mode false
% 169.33/170.64
% 169.33/170.64 % ------ Instantiation Options
% 169.33/170.64
% 169.33/170.64 % --instantiation_flag true
% 169.33/170.64 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 169.33/170.64 % --inst_solver_per_active 750
% 169.33/170.64 % --inst_solver_calls_frac 0.5
% 169.33/170.64 % --inst_passive_queue_type priority_queues
% 169.33/170.64 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 169.33/170.64 % --inst_passive_queues_freq [25;2]
% 169.33/170.64 % --inst_dismatching true
% 169.33/170.64 % --inst_eager_unprocessed_to_passive true
% 169.33/170.64 % --inst_prop_sim_given true
% 169.33/170.64 % --inst_prop_sim_new false
% 169.33/170.64 % --inst_orphan_elimination true
% 169.33/170.64 % --inst_learning_loop_flag true
% 169.33/170.64 % --inst_learning_start 3000
% 169.33/170.64 % --inst_learning_factor 2
% 169.33/170.64 % --inst_start_prop_sim_after_learn 3
% 169.33/170.64 % --inst_sel_renew solver
% 169.33/170.64 % --inst_lit_activity_flag true
% 169.33/170.64 % --inst_out_proof true
% 169.33/170.64
% 169.33/170.64 % ------ Resolution Options
% 169.33/170.64
% 169.33/170.64 % --resolution_flag true
% 169.33/170.64 % --res_lit_sel kbo_max
% 169.33/170.64 % --res_to_prop_solver none
% 169.33/170.64 % --res_prop_simpl_new false
% 169.33/170.64 % --res_prop_simpl_given false
% 169.33/170.64 % --res_passive_queue_type priority_queues
% 169.33/170.64 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 169.33/170.64 % --res_passive_queues_freq [15;5]
% 169.33/170.64 % --res_forward_subs full
% 169.33/170.64 % --res_backward_subs full
% 169.33/170.64 % --res_forward_subs_resolution true
% 169.33/170.64 % --res_backward_subs_resolution true
% 169.33/170.64 % --res_orphan_elimination false
% 169.33/170.64 % --res_time_limit 1000.
% 169.33/170.64 % --res_out_proof true
% 169.33/170.64 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_c92ce2.s
% 169.33/170.64 % --modulo true
% 169.33/170.64
% 169.33/170.64 % ------ Combination Options
% 169.33/170.64
% 169.33/170.64 % --comb_res_mult 1000
% 169.33/170.64 % --comb_inst_mult 300
% 169.33/170.64 % ------
% 169.33/170.64
% 169.33/170.64
% 169.33/170.64
% 169.33/170.64 % ------ Proving...
% 169.33/170.64 % warning: shown sat in sat incomplete mode
% 169.33/170.64 %
% 169.33/170.64
% 169.33/170.64
% 169.33/170.64
% 169.33/170.64
% 169.33/170.64 cnf(c_6050,negated_conjecture,
% 169.33/170.64 ( c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_4) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_8434,negated_conjecture,
% 169.33/170.64 ( c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_6050]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_8438,negated_conjecture,
% 169.33/170.64 ( c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_8434]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_8439,negated_conjecture,
% 169.33/170.64 ( c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_8438]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_8440,negated_conjecture,
% 169.33/170.64 ( c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_8439]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26160,negated_conjecture,
% 169.33/170.64 ( c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg) != c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_8440]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5503,plain,
% 169.33/170.64 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 169.33/170.64 | X1 = X4 ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11319_1) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25066,plain,
% 169.33/170.64 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 169.33/170.64 | X1 = X4 ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5503]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26166,plain,
% 169.33/170.64 ( c_List_Onth(c_List_Olist__update(X0,c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),X1,X2),c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),X2) = c_List_Onth(X0,c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),X2) ),
% 169.33/170.64 inference(resolution,[status(thm)],[c_26160,c_25066]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26167,plain,
% 169.33/170.64 ( c_List_Onth(c_List_Olist__update(X0,c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),X1,X2),c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),X2) = c_List_Onth(X0,c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),X2) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_26166]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_4566,plain,
% 169.33/170.64 ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 169.33/170.64 | X0 = X1 ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11604_1) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_23192,plain,
% 169.33/170.64 ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 169.33/170.64 | X0 = X1 ),
% 169.33/170.64 inference(copy,[status(esa)],[c_4566]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26164,plain,
% 169.33/170.64 ( c_List_Oremove1(c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),c_List_Olist_OCons(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),X0,X1),X1) = c_List_Olist_OCons(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),c_List_Oremove1(c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),X0,X1),X1) ),
% 169.33/170.64 inference(resolution,[status(thm)],[c_26160,c_23192]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26165,plain,
% 169.33/170.64 ( c_List_Oremove1(c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),c_List_Olist_OCons(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),X0,X1),X1) = c_List_Olist_OCons(c_Message_Oparts(c_insert(v_X,c_insert(v_Y,v_H,tc_Message_Omsg),tc_Message_Omsg)),c_List_Oremove1(c_union(c_union(c_Message_Oparts(c_insert(v_X,c_emptyset,tc_Message_Omsg)),c_Message_Oparts(c_insert(v_Y,c_emptyset,tc_Message_Omsg)),tc_Message_Omsg),c_Message_Oparts(v_H),tc_Message_Omsg),X0,X1),X1) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_26164]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_6035,plain,
% 169.33/170.64 ( 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))))
% 169.33/170.64 | 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))))
% 169.33/170.64 | ~ 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)))) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11134_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26130,plain,
% 169.33/170.64 ( 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))))
% 169.33/170.64 | 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))))
% 169.33/170.64 | ~ 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)))) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_6035]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26131,plain,
% 169.33/170.64 ( 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))))
% 169.33/170.64 | 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))))
% 169.33/170.64 | ~ 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)))) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_26130]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_6032,plain,
% 169.33/170.64 ( 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
% 169.33/170.64 | 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))))
% 169.33/170.64 | ~ 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)))) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11135_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26124,plain,
% 169.33/170.64 ( 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
% 169.33/170.64 | 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))))
% 169.33/170.64 | ~ 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)))) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_6032]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26125,plain,
% 169.33/170.64 ( 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))))
% 169.33/170.64 | ~ 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))))
% 169.33/170.64 | 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 ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_26124]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_6029,plain,
% 169.33/170.64 ( 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
% 169.33/170.64 | 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))))
% 169.33/170.64 | ~ 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)))) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11136_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26118,plain,
% 169.33/170.64 ( 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
% 169.33/170.64 | 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))))
% 169.33/170.64 | ~ 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)))) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_6029]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26119,plain,
% 169.33/170.64 ( 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))))
% 169.33/170.64 | ~ 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))))
% 169.33/170.64 | 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 ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_26118]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_6023,plain,
% 169.33/170.64 ( ~ 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))))
% 169.33/170.64 | 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))))
% 169.33/170.64 | ~ 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)))) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11139_1) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26106,plain,
% 169.33/170.64 ( ~ 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))))
% 169.33/170.64 | 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))))
% 169.33/170.64 | ~ 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)))) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_6023]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26107,plain,
% 169.33/170.64 ( 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))))
% 169.33/170.64 | ~ 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))))
% 169.33/170.64 | ~ 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)))) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_26106]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_6005,plain,
% 169.33/170.64 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.33/170.64 | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3))
% 169.33/170.64 | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2)) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11147_1) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26070,plain,
% 169.33/170.64 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.33/170.64 | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3))
% 169.33/170.64 | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2)) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_6005]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26071,plain,
% 169.33/170.64 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 169.33/170.64 | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3))
% 169.33/170.64 | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6)) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_26070]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5999,plain,
% 169.33/170.64 ( 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))
% 169.33/170.64 | 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)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11149_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26058,plain,
% 169.33/170.64 ( 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))
% 169.33/170.64 | 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)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5999]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26059,plain,
% 169.33/170.64 ( 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)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | 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)) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_26058]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5993,plain,
% 169.33/170.64 ( 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))
% 169.33/170.64 | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11151_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26046,plain,
% 169.33/170.64 ( 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))
% 169.33/170.64 | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5993]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26047,plain,
% 169.33/170.64 ( c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | 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)) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_26046]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5986,plain,
% 169.33/170.64 ( 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))
% 169.33/170.64 | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11154_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26032,plain,
% 169.33/170.64 ( 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))
% 169.33/170.64 | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5986]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26033,plain,
% 169.33/170.64 ( c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | 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)) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_26032]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5976,plain,
% 169.33/170.64 ( 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)
% 169.33/170.64 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11158_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26012,plain,
% 169.33/170.64 ( 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)
% 169.33/170.64 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5976]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26013,plain,
% 169.33/170.64 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.33/170.64 | 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) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_26012]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5970,plain,
% 169.33/170.64 ( 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)
% 169.33/170.64 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11160_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26000,plain,
% 169.33/170.64 ( 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)
% 169.33/170.64 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5970]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_26001,plain,
% 169.33/170.64 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.33/170.64 | 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) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_26000]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5938,plain,
% 169.33/170.64 ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11174_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25936,plain,
% 169.33/170.64 ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5938]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25937,plain,
% 169.33/170.64 ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25936]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5935,plain,
% 169.33/170.64 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.33/170.64 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11175_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25930,plain,
% 169.33/170.64 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.33/170.64 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5935]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25931,plain,
% 169.33/170.64 ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X4,X1,X2,X3),X2,X3) = X1 ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25930]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5932,plain,
% 169.33/170.64 ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,X1,X2,X3),X2,X3) = X1
% 169.33/170.64 | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11176_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25924,plain,
% 169.33/170.64 ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,X1,X2,X3),X2,X3) = X1
% 169.33/170.64 | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5932]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25925,plain,
% 169.33/170.64 ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1 ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25924]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5920,plain,
% 169.33/170.64 ( 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)))
% 169.33/170.64 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2))
% 169.33/170.64 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11181_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25900,plain,
% 169.33/170.64 ( 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)))
% 169.33/170.64 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2))
% 169.33/170.64 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5920]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25901,plain,
% 169.33/170.64 ( 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)))
% 169.33/170.64 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 169.33/170.64 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25900]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5912,plain,
% 169.33/170.64 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.33/170.64 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 169.33/170.64 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11184_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25884,plain,
% 169.33/170.64 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.33/170.64 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 169.33/170.64 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5912]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25885,plain,
% 169.33/170.64 ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 169.33/170.64 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3))
% 169.33/170.64 | c_Sum__Type_OInr(c_Main_OPlusE__2(X4,X1,X3,X2),X3,X2) = X1 ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25884]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5909,plain,
% 169.33/170.64 ( c_Sum__Type_OInl(c_Main_OPlusE__1(X0,X1,X2,X3),X2,X3) = X1
% 169.33/170.64 | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 169.33/170.64 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11185_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25878,plain,
% 169.33/170.64 ( c_Sum__Type_OInl(c_Main_OPlusE__1(X0,X1,X2,X3),X2,X3) = X1
% 169.33/170.64 | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 169.33/170.64 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5909]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25879,plain,
% 169.33/170.64 ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 169.33/170.64 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2))
% 169.33/170.64 | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1 ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25878]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5906,plain,
% 169.33/170.64 ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 169.33/170.64 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 169.33/170.64 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11186_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25872,plain,
% 169.33/170.64 ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 169.33/170.64 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 169.33/170.64 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5906]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25873,plain,
% 169.33/170.64 ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 169.33/170.64 | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 169.33/170.64 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25872]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5893,plain,
% 169.33/170.64 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.33/170.64 | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.33/170.64 | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11193_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25846,plain,
% 169.33/170.64 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.33/170.64 | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.33/170.64 | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5893]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25847,plain,
% 169.33/170.64 ( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.33/170.64 | ~ c_Wellfounded__Recursion_Owf(X3,X2)
% 169.33/170.64 | c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25846]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5876,plain,
% 169.33/170.64 ( 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)
% 169.33/170.64 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 169.33/170.64 | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11200_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25812,plain,
% 169.33/170.64 ( 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)
% 169.33/170.64 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 169.33/170.64 | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5876]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25813,plain,
% 169.33/170.64 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 169.33/170.64 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 169.33/170.64 | 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) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25812]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5869,plain,
% 169.33/170.64 ( 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))
% 169.33/170.64 | ~ 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)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11205_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25798,plain,
% 169.33/170.64 ( 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))
% 169.33/170.64 | ~ 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)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5869]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25799,plain,
% 169.33/170.64 ( ~ 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)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | 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)) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25798]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5866,plain,
% 169.33/170.64 ( 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)
% 169.33/170.64 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11206_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25792,plain,
% 169.33/170.64 ( 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)
% 169.33/170.64 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5866]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25793,plain,
% 169.33/170.64 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | 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) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25792]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5860,plain,
% 169.33/170.64 ( 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)
% 169.33/170.64 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11208_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25780,plain,
% 169.33/170.64 ( 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)
% 169.33/170.64 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5860]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25781,plain,
% 169.33/170.64 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | 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) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25780]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5852,plain,
% 169.33/170.64 ( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 169.33/170.64 | ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
% 169.33/170.64 | ~ c_in(X5,X2,X3) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11212_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25764,plain,
% 169.33/170.64 ( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 169.33/170.64 | ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
% 169.33/170.64 | ~ c_in(X5,X2,X3) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5852]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25765,plain,
% 169.33/170.64 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.33/170.64 | c_in(X1,c_Relation_OImage(X4,X5,X2,X3),X3)
% 169.33/170.64 | ~ c_in(X0,X5,X2) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25764]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5846,plain,
% 169.33/170.64 ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | 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)))
% 169.33/170.64 | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11216_1) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25752,plain,
% 169.33/170.64 ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | 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)))
% 169.33/170.64 | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5846]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25753,plain,
% 169.33/170.64 ( 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)))
% 169.33/170.64 | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.33/170.64 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.33/170.64 inference(rewriting,[status(thm)],[c_25752]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_5842,plain,
% 169.33/170.64 ( 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))
% 169.33/170.64 | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11217_2) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25744,plain,
% 169.33/170.64 ( 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))
% 169.33/170.64 | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.64 inference(copy,[status(esa)],[c_5842]) ).
% 169.33/170.64
% 169.33/170.64 cnf(c_25745,plain,
% 169.33/170.64 ( ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.65 | 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)) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25744]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5836,plain,
% 169.33/170.65 ( 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))
% 169.33/170.65 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 169.33/170.65 | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11219_2) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25732,plain,
% 169.33/170.65 ( 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))
% 169.33/170.65 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 169.33/170.65 | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5836]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25733,plain,
% 169.33/170.65 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.33/170.65 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 169.33/170.65 | 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)) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25732]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5830,plain,
% 169.33/170.65 ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.33/170.65 | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
% 169.33/170.65 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11225_1) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25720,plain,
% 169.33/170.65 ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.33/170.65 | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
% 169.33/170.65 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5830]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25721,plain,
% 169.33/170.65 ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 169.33/170.65 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat)
% 169.33/170.65 | ~ c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25720]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5811,plain,
% 169.33/170.65 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.33/170.65 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11237_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25682,plain,
% 169.33/170.65 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.33/170.65 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5811]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25683,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.65 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.33/170.65 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.65 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25682]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5804,plain,
% 169.33/170.65 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.65 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11238_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25668,plain,
% 169.33/170.65 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.65 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5804]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25669,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.65 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25668]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5797,plain,
% 169.33/170.65 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11239_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25654,plain,
% 169.33/170.65 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5797]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25655,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.65 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.33/170.65 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.33/170.65 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25654]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5790,plain,
% 169.33/170.65 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11240_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25640,plain,
% 169.33/170.65 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5790]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25641,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.65 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.33/170.65 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25640]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5783,plain,
% 169.33/170.65 ( 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)
% 169.33/170.65 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11246_2) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25626,plain,
% 169.33/170.65 ( 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)
% 169.33/170.65 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5783]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25627,plain,
% 169.33/170.65 ( ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.33/170.65 | 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) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25626]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5776,plain,
% 169.33/170.65 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.65 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_less(X0,c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11247_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25612,plain,
% 169.33/170.65 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.65 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_less(X0,c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5776]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25613,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.65 | ~ c_less(X1,c_0,X0)
% 169.33/170.65 | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | c_less(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25612]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5769,plain,
% 169.33/170.65 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.65 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_lessequals(X0,c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11248_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25598,plain,
% 169.33/170.65 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.65 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_lessequals(X0,c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5769]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25599,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.65 | ~ c_lessequals(X1,c_0,X0)
% 169.33/170.65 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25598]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5762,plain,
% 169.33/170.65 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_0,X3,X2)
% 169.33/170.65 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11249_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25584,plain,
% 169.33/170.65 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_0,X3,X2)
% 169.33/170.65 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5762]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25585,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_less(c_0,X1,X0)
% 169.33/170.65 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.65 | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.33/170.65 | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25584]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5755,plain,
% 169.33/170.65 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_lessequals(c_0,X3,X2)
% 169.33/170.65 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11250_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25570,plain,
% 169.33/170.65 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_lessequals(c_0,X3,X2)
% 169.33/170.65 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5755]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25571,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_0,X1,X0)
% 169.33/170.65 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.65 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.33/170.65 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25570]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5752,plain,
% 169.33/170.65 ( 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)
% 169.33/170.65 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 169.33/170.65 | ~ class_Power_Orecpower(X1) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11251_2) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25564,plain,
% 169.33/170.65 ( 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)
% 169.33/170.65 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 169.33/170.65 | ~ class_Power_Orecpower(X1) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5752]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25565,plain,
% 169.33/170.65 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.33/170.65 | ~ class_Power_Orecpower(X0)
% 169.33/170.65 | 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) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25564]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5737,plain,
% 169.33/170.65 ( c_Map_Omap__of(c_List_Ozip(X0,X1,X2,X3),X4,X2,X3) = c_Datatype_Ooption_ONone
% 169.33/170.65 | c_in(X4,c_List_Oset(X0,X2),X2)
% 169.33/170.65 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11261_2) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25534,plain,
% 169.33/170.65 ( c_Map_Omap__of(c_List_Ozip(X0,X1,X2,X3),X4,X2,X3) = c_Datatype_Ooption_ONone
% 169.33/170.65 | c_in(X4,c_List_Oset(X0,X2),X2)
% 169.33/170.65 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5737]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25535,plain,
% 169.33/170.65 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.33/170.65 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 169.33/170.65 | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) = c_Datatype_Ooption_ONone ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25534]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5722,plain,
% 169.33/170.65 ( c_less(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.33/170.65 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11270_4) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25504,plain,
% 169.33/170.65 ( c_less(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.33/170.65 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5722]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25505,plain,
% 169.33/170.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.65 | ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.65 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.65 | c_less(X3,X2,X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25504]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5717,plain,
% 169.33/170.65 ( c_less(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.33/170.65 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11271_4) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25494,plain,
% 169.33/170.65 ( c_less(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.33/170.65 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5717]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25495,plain,
% 169.33/170.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.65 | ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.65 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.65 | c_less(X2,X3,X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25494]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5712,plain,
% 169.33/170.65 ( c_less(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.33/170.65 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11272_4) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25484,plain,
% 169.33/170.65 ( c_less(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.33/170.65 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5712]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25485,plain,
% 169.33/170.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.65 | ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.65 | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.65 | c_less(X3,X2,X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25484]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5707,plain,
% 169.33/170.65 ( c_less(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.33/170.65 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11273_4) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25474,plain,
% 169.33/170.65 ( c_less(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.33/170.65 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5707]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25475,plain,
% 169.33/170.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.65 | ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.65 | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.65 | c_less(X2,X3,X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25474]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5702,plain,
% 169.33/170.65 ( c_lessequals(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11274_4) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25464,plain,
% 169.33/170.65 ( c_lessequals(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5702]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25465,plain,
% 169.33/170.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.65 | ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | c_lessequals(X3,X1,X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25464]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5697,plain,
% 169.33/170.65 ( c_lessequals(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.33/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11275_4) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25454,plain,
% 169.33/170.65 ( c_lessequals(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 169.33/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5697]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25455,plain,
% 169.33/170.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.65 | ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | c_lessequals(X1,X3,X0)
% 169.33/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25454]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5692,plain,
% 169.33/170.65 ( c_lessequals(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11276_4) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25444,plain,
% 169.33/170.65 ( c_lessequals(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5692]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25445,plain,
% 169.33/170.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.65 | ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.65 | c_lessequals(X3,X2,X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25444]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5687,plain,
% 169.33/170.65 ( c_lessequals(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 169.33/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11277_4) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25434,plain,
% 169.33/170.65 ( c_lessequals(X0,X1,X2)
% 169.33/170.65 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 169.33/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5687]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25435,plain,
% 169.33/170.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.65 | ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.65 | c_lessequals(X2,X3,X0)
% 169.33/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25434]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5680,plain,
% 169.33/170.65 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.65 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.65 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.65 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11278_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25420,plain,
% 169.33/170.65 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.65 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.65 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.65 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5680]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25421,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.65 | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.65 | c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25420]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5673,plain,
% 169.33/170.65 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.65 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.65 | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.65 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11279_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25406,plain,
% 169.33/170.65 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.65 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.65 | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.65 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5673]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25407,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.65 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.65 | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25406]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5666,plain,
% 169.33/170.65 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.65 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11280_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25392,plain,
% 169.33/170.65 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.65 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5666]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25393,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.65 | c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25392]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5659,plain,
% 169.33/170.65 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.65 | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11281_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25378,plain,
% 169.33/170.65 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.65 | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5659]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25379,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.65 | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25378]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5652,plain,
% 169.33/170.65 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.65 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11282_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25364,plain,
% 169.33/170.65 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.65 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5652]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25365,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.65 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.33/170.65 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25364]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5645,plain,
% 169.33/170.65 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.65 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11283_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25350,plain,
% 169.33/170.65 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.65 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5645]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25351,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.65 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.33/170.65 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25350]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5638,plain,
% 169.33/170.65 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.65 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11284_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25336,plain,
% 169.33/170.65 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.65 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5638]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25337,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.65 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25336]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5631,plain,
% 169.33/170.65 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.65 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11285_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25322,plain,
% 169.33/170.65 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.65 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5631]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25323,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.65 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.33/170.65 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25322]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5618,plain,
% 169.33/170.65 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.65 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 169.33/170.65 | ~ c_less(X2,c_0,X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.65 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11291_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25296,plain,
% 169.33/170.65 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.65 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 169.33/170.65 | ~ c_less(X2,c_0,X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.65 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5618]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25297,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.65 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.33/170.65 | ~ c_less(X2,c_0,X0)
% 169.33/170.65 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25296]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5611,plain,
% 169.33/170.65 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.65 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ c_less(X2,c_0,X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.65 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11292_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25282,plain,
% 169.33/170.65 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.65 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.65 | ~ c_less(X2,c_0,X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.65 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5611]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25283,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.65 | ~ c_less(X2,c_0,X0)
% 169.33/170.65 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.65 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25282]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5604,plain,
% 169.33/170.65 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.33/170.65 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.65 | ~ c_lessequals(X0,c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11293_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25268,plain,
% 169.33/170.65 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.33/170.65 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.65 | ~ c_lessequals(X0,c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5604]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25269,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.65 | ~ c_lessequals(X1,c_0,X0)
% 169.33/170.65 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25268]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5597,plain,
% 169.33/170.65 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.65 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_lessequals(X0,c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11294_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25254,plain,
% 169.33/170.65 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.65 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.65 | ~ c_lessequals(X0,c_0,X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.65 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5597]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25255,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(X1,c_0,X0)
% 169.33/170.65 | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.65 | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25254]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5590,plain,
% 169.33/170.65 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ c_less(c_0,X3,X2)
% 169.33/170.65 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11295_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25240,plain,
% 169.33/170.65 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ c_less(c_0,X3,X2)
% 169.33/170.65 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5590]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25241,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_less(c_0,X1,X0)
% 169.33/170.65 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.33/170.65 | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.33/170.65 | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25240]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5583,plain,
% 169.33/170.65 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.65 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_0,X3,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11296_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25226,plain,
% 169.33/170.65 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.65 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_less(c_0,X3,X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5583]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25227,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.65 | ~ c_less(c_0,X2,X0)
% 169.33/170.65 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.33/170.65 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25226]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5576,plain,
% 169.33/170.65 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ c_lessequals(c_0,X3,X2)
% 169.33/170.65 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11297_6) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25212,plain,
% 169.33/170.65 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.65 | ~ c_lessequals(c_0,X3,X2)
% 169.33/170.65 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.65 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.65 inference(copy,[status(esa)],[c_5576]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_25213,plain,
% 169.33/170.65 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.65 | ~ c_lessequals(c_0,X1,X0)
% 169.33/170.65 | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 169.33/170.65 | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.65 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.65 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.65 inference(rewriting,[status(thm)],[c_25212]) ).
% 169.33/170.65
% 169.33/170.65 cnf(c_5569,plain,
% 169.33/170.65 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.65 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.65 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.65 | ~ c_lessequals(c_0,X3,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11298_6) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25198,plain,
% 169.33/170.66 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 169.33/170.66 | ~ c_lessequals(c_0,X3,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5569]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25199,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_lessequals(c_0,X1,X0)
% 169.33/170.66 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.66 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25198]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5563,plain,
% 169.33/170.66 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.66 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.66 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11301_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25186,plain,
% 169.33/170.66 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.66 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.66 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5563]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25187,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.33/170.66 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25186]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5557,plain,
% 169.33/170.66 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11302_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25174,plain,
% 169.33/170.66 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5557]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25175,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.33/170.66 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25174]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5551,plain,
% 169.33/170.66 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.66 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.66 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11303_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25162,plain,
% 169.33/170.66 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.66 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.66 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5551]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25163,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.66 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25162]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5545,plain,
% 169.33/170.66 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11304_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25150,plain,
% 169.33/170.66 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5545]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25151,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.66 | ~ c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25150]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5539,plain,
% 169.33/170.66 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11305_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25138,plain,
% 169.33/170.66 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5539]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25139,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.33/170.66 | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25138]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5533,plain,
% 169.33/170.66 ( c_less(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.66 | ~ c_less(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.66 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11306_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25126,plain,
% 169.33/170.66 ( c_less(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.66 | ~ c_less(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.66 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5533]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25127,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 169.33/170.66 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25126]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5527,plain,
% 169.33/170.66 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11307_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25114,plain,
% 169.33/170.66 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5527]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25115,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.66 | ~ c_lessequals(X1,c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25114]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5521,plain,
% 169.33/170.66 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.66 | ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.66 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11308_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25102,plain,
% 169.33/170.66 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.66 | ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.66 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5521]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25103,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 169.33/170.66 | c_lessequals(X1,c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.66 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25102]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5497,plain,
% 169.33/170.66 ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 169.33/170.66 | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 169.33/170.66 | ~ c_Wellfounded__Recursion_Owf(X2,X3) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11325_1) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25054,plain,
% 169.33/170.66 ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 169.33/170.66 | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 169.33/170.66 | ~ c_Wellfounded__Recursion_Owf(X2,X3) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5497]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25055,plain,
% 169.33/170.66 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 169.33/170.66 | ~ c_Wellfounded__Recursion_Owf(X1,X3)
% 169.33/170.66 | ~ c_Wellfounded__Recursion_Owf(X0,X2) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25054]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5494,plain,
% 169.33/170.66 ( ~ c_Relation_Otrans(X0,X1)
% 169.33/170.66 | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 169.33/170.66 | ~ c_Relation_Otrans(X2,X3) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11326_1) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25048,plain,
% 169.33/170.66 ( ~ c_Relation_Otrans(X0,X1)
% 169.33/170.66 | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 169.33/170.66 | ~ c_Relation_Otrans(X2,X3) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5494]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25049,plain,
% 169.33/170.66 ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 169.33/170.66 | ~ c_Relation_Otrans(X1,X3)
% 169.33/170.66 | ~ c_Relation_Otrans(X0,X2) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25048]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5488,plain,
% 169.33/170.66 ( c_less(X0,X1,tc_nat)
% 169.33/170.66 | ~ c_less(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 169.33/170.66 | ~ c_less(c_1,X2,X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 169.33/170.66 | ~ class_Power_Orecpower(X3) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11327_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25036,plain,
% 169.33/170.66 ( c_less(X0,X1,tc_nat)
% 169.33/170.66 | ~ c_less(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 169.33/170.66 | ~ c_less(c_1,X2,X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 169.33/170.66 | ~ class_Power_Orecpower(X3) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5488]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25037,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.33/170.66 | ~ class_Power_Orecpower(X0)
% 169.33/170.66 | ~ c_less(c_1,X1,X0)
% 169.33/170.66 | ~ c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 169.33/170.66 | c_less(X2,X3,tc_nat) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25036]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5483,plain,
% 169.33/170.66 ( c_lessequals(X0,X1,tc_nat)
% 169.33/170.66 | ~ c_lessequals(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 169.33/170.66 | ~ c_less(c_1,X2,X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 169.33/170.66 | ~ class_Power_Orecpower(X3) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11328_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25026,plain,
% 169.33/170.66 ( c_lessequals(X0,X1,tc_nat)
% 169.33/170.66 | ~ c_lessequals(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 169.33/170.66 | ~ c_less(c_1,X2,X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 169.33/170.66 | ~ class_Power_Orecpower(X3) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5483]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25027,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.33/170.66 | ~ class_Power_Orecpower(X0)
% 169.33/170.66 | ~ c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 169.33/170.66 | c_lessequals(X2,X3,tc_nat)
% 169.33/170.66 | ~ c_less(c_1,X1,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25026]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5480,plain,
% 169.33/170.66 ( 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Osemiring(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11329_2) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25020,plain,
% 169.33/170.66 ( 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Osemiring(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5480]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25021,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Osemiring(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | 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) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25020]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5477,plain,
% 169.33/170.66 ( 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Oring(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11330_2) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25014,plain,
% 169.33/170.66 ( 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Oring(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5477]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25015,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oring(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | 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) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25014]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5474,plain,
% 169.33/170.66 ( 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Osemiring(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11331_2) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25008,plain,
% 169.33/170.66 ( 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Osemiring(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5474]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25009,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Osemiring(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | 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) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25008]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5471,plain,
% 169.33/170.66 ( 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Oring(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11332_2) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25002,plain,
% 169.33/170.66 ( 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Oring(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5471]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_25003,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oring(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | 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) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_25002]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5467,plain,
% 169.33/170.66 ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11334_3) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24994,plain,
% 169.33/170.66 ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5467]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24995,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber__ring(X0)
% 169.33/170.66 | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | ~ 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) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24994]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5460,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(X2,c_0,X1)
% 169.33/170.66 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11335_6) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24980,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(X2,c_0,X1)
% 169.33/170.66 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5460]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24981,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | c_less(X2,c_0,X0)
% 169.33/170.66 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24980]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5453,plain,
% 169.33/170.66 ( c_lessequals(X0,c_0,X1)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 169.33/170.66 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11336_6) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24966,plain,
% 169.33/170.66 ( c_lessequals(X0,c_0,X1)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 169.33/170.66 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5453]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24967,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(X1,c_0,X0)
% 169.33/170.66 | ~ c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24966]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5446,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(c_0,X2,X1)
% 169.33/170.66 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11337_6) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24952,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(c_0,X2,X1)
% 169.33/170.66 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5446]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24953,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_less(c_0,X2,X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24952]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5439,plain,
% 169.33/170.66 ( c_lessequals(c_0,X0,X1)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 169.33/170.66 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11338_6) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24938,plain,
% 169.33/170.66 ( c_lessequals(c_0,X0,X1)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 169.33/170.66 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5439]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24939,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_0,X1,X0)
% 169.33/170.66 | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24938]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5434,plain,
% 169.33/170.66 ( 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)
% 169.33/170.66 | ~ c_less(c_0,X0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11339_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24928,plain,
% 169.33/170.66 ( 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)
% 169.33/170.66 | ~ c_less(c_0,X0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5434]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24929,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber__ring(X0)
% 169.33/170.66 | 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)
% 169.33/170.66 | ~ c_less(c_0,X1,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24928]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5432,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ c_less(X1,X2,X0)
% 169.33/170.66 | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.66 | ~ c_less(X2,X1,X0) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11340_1) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24924,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ c_less(X1,X2,X0)
% 169.33/170.66 | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.66 | ~ c_less(X2,X1,X0) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5432]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24925,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.66 | ~ c_less(X3,X1,X0)
% 169.33/170.66 | ~ c_less(X1,X3,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24924]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5429,plain,
% 169.33/170.66 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | ~ c_less(X0,X3,X2)
% 169.33/170.66 | ~ c_less(X3,X0,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11340_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24918,plain,
% 169.33/170.66 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | ~ c_less(X0,X3,X2)
% 169.33/170.66 | ~ c_less(X3,X0,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5429]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24919,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.66 | ~ c_less(X1,X3,X0)
% 169.33/170.66 | ~ c_less(X3,X1,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24918]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5427,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ c_less(X1,X2,X0)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 169.33/170.66 | ~ c_less(X2,X1,X0) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11341_1) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24914,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ c_less(X1,X2,X0)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 169.33/170.66 | ~ c_less(X2,X1,X0) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5427]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24915,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.66 | ~ c_less(X3,X2,X0)
% 169.33/170.66 | ~ c_less(X2,X3,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24914]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5424,plain,
% 169.33/170.66 ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | ~ c_less(X2,X3,X1)
% 169.33/170.66 | ~ c_less(X3,X2,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11341_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24908,plain,
% 169.33/170.66 ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | ~ c_less(X2,X3,X1)
% 169.33/170.66 | ~ c_less(X3,X2,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5424]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24909,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.66 | ~ c_less(X2,X3,X0)
% 169.33/170.66 | ~ c_less(X3,X2,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24908]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5422,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ c_lessequals(X1,X2,X0)
% 169.33/170.66 | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.66 | ~ c_lessequals(X2,X1,X0) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11342_1) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24904,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ c_lessequals(X1,X2,X0)
% 169.33/170.66 | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.66 | ~ c_lessequals(X2,X1,X0) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5422]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24905,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.66 | ~ c_lessequals(X3,X1,X0)
% 169.33/170.66 | ~ c_lessequals(X1,X3,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24904]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5419,plain,
% 169.33/170.66 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | ~ c_lessequals(X0,X3,X2)
% 169.33/170.66 | ~ c_lessequals(X3,X0,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11342_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24898,plain,
% 169.33/170.66 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | ~ c_lessequals(X0,X3,X2)
% 169.33/170.66 | ~ c_lessequals(X3,X0,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5419]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24899,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.66 | ~ c_lessequals(X1,X3,X0)
% 169.33/170.66 | ~ c_lessequals(X3,X1,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24898]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5417,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ c_lessequals(X1,X2,X0)
% 169.33/170.66 | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 169.33/170.66 | ~ c_lessequals(X2,X1,X0) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11343_1) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24894,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ c_lessequals(X1,X2,X0)
% 169.33/170.66 | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 169.33/170.66 | ~ c_lessequals(X2,X1,X0) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5417]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24895,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.66 | ~ c_lessequals(X3,X2,X0)
% 169.33/170.66 | ~ c_lessequals(X2,X3,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24894]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5414,plain,
% 169.33/170.66 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | ~ c_lessequals(X2,X3,X1)
% 169.33/170.66 | ~ c_lessequals(X3,X2,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11343_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24888,plain,
% 169.33/170.66 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | ~ c_lessequals(X2,X3,X1)
% 169.33/170.66 | ~ c_lessequals(X3,X2,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5414]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24889,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.66 | ~ c_lessequals(X2,X3,X0)
% 169.33/170.66 | ~ c_lessequals(X3,X2,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24888]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5409,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.66 | ~ c_less(X2,X3,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11344_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24878,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.66 | ~ c_less(X2,X3,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5409]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24879,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.66 | ~ c_less(X2,X3,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24878]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5404,plain,
% 169.33/170.66 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.66 | ~ c_less(X3,X2,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11345_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24868,plain,
% 169.33/170.66 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.66 | ~ c_less(X3,X2,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5404]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24869,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.66 | ~ c_less(X3,X2,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24868]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5399,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | ~ c_less(X2,X3,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11346_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24858,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | ~ c_less(X2,X3,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5399]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24859,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.66 | ~ c_less(X2,X3,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24858]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5394,plain,
% 169.33/170.66 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | ~ c_less(X3,X2,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11347_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24848,plain,
% 169.33/170.66 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | ~ c_less(X3,X2,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5394]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24849,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.66 | ~ c_less(X3,X2,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24848]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5389,plain,
% 169.33/170.66 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.66 | ~ c_lessequals(X0,X3,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11348_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24838,plain,
% 169.33/170.66 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.66 | ~ c_lessequals(X0,X3,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5389]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24839,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.66 | ~ c_lessequals(X1,X3,X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24838]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5384,plain,
% 169.33/170.66 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ c_lessequals(X3,X0,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11349_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24828,plain,
% 169.33/170.66 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ c_lessequals(X3,X0,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5384]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24829,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.66 | ~ c_lessequals(X3,X1,X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24828]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5379,plain,
% 169.33/170.66 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | ~ c_lessequals(X2,X3,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11350_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24818,plain,
% 169.33/170.66 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | ~ c_lessequals(X2,X3,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5379]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24819,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.66 | ~ c_lessequals(X2,X3,X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24818]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5374,plain,
% 169.33/170.66 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ c_lessequals(X3,X2,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11351_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24808,plain,
% 169.33/170.66 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ c_lessequals(X3,X2,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5374]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24809,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.66 | ~ c_lessequals(X3,X2,X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24808]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5361,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11358_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24782,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5361]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24783,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24782]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5356,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11359_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24772,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5356]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24773,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24772]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5351,plain,
% 169.33/170.66 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11360_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24762,plain,
% 169.33/170.66 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5351]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24763,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24762]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5346,plain,
% 169.33/170.66 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11361_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24752,plain,
% 169.33/170.66 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5346]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24753,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24752]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5343,plain,
% 169.33/170.66 ( c_lessequals(X0,X1,tc_nat)
% 169.33/170.66 | ~ c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat)
% 169.33/170.66 | ~ c_less(c_0,X2,tc_nat) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11362_2) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24746,plain,
% 169.33/170.66 ( c_lessequals(X0,X1,tc_nat)
% 169.33/170.66 | ~ c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat)
% 169.33/170.66 | ~ c_less(c_0,X2,tc_nat) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5343]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24747,plain,
% 169.33/170.66 ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.33/170.66 | c_lessequals(X0,X2,tc_nat)
% 169.33/170.66 | ~ c_less(c_0,X1,tc_nat) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24746]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5340,plain,
% 169.33/170.66 ( c_lessequals(X0,X1,tc_nat)
% 169.33/170.66 | ~ c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.33/170.66 | ~ c_less(c_0,X2,tc_nat) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11363_2) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24740,plain,
% 169.33/170.66 ( c_lessequals(X0,X1,tc_nat)
% 169.33/170.66 | ~ c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.33/170.66 | ~ c_less(c_0,X2,tc_nat) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5340]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24741,plain,
% 169.33/170.66 ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.33/170.66 | c_lessequals(X1,X2,tc_nat)
% 169.33/170.66 | ~ c_less(c_0,X0,tc_nat) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24740]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5332,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.33/170.66 | ~ 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11368_3) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24724,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.33/170.66 | ~ 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5332]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24725,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber__ring(X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 169.33/170.66 | ~ 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) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24724]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5326,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11369_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24712,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5326]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24713,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24712]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5320,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11370_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24700,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5320]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24701,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.33/170.66 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24700]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5314,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11371_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24688,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5314]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24689,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24688]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5308,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11372_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24676,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5308]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24677,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24676]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5289,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,X2,X1)
% 169.33/170.66 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11384_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24638,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,X2,X1)
% 169.33/170.66 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5289]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24639,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.33/170.66 | c_less(c_0,X2,X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24638]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5283,plain,
% 169.33/170.66 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(X2,c_0,X1)
% 169.33/170.66 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11385_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24626,plain,
% 169.33/170.66 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(X2,c_0,X1)
% 169.33/170.66 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5283]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24627,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.33/170.66 | c_less(X2,c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24626]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5277,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_lessequals(c_0,X2,X1)
% 169.33/170.66 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11386_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24614,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_lessequals(c_0,X2,X1)
% 169.33/170.66 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5277]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24615,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.33/170.66 | c_lessequals(c_0,X2,X0)
% 169.33/170.66 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24614]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5271,plain,
% 169.33/170.66 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_lessequals(X2,c_0,X1)
% 169.33/170.66 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11387_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24602,plain,
% 169.33/170.66 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_lessequals(X2,c_0,X1)
% 169.33/170.66 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5271]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24603,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.33/170.66 | c_lessequals(X2,c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24602]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5265,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(X2,c_0,X1)
% 169.33/170.66 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11388_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24590,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(X2,c_0,X1)
% 169.33/170.66 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5265]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24591,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.33/170.66 | c_less(X2,c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24590]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5259,plain,
% 169.33/170.66 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(c_0,X2,X1)
% 169.33/170.66 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11389_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24578,plain,
% 169.33/170.66 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(c_0,X2,X1)
% 169.33/170.66 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5259]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24579,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_less(c_0,X2,X0)
% 169.33/170.66 | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24578]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5253,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_lessequals(X2,c_0,X1)
% 169.33/170.66 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11390_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24566,plain,
% 169.33/170.66 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_lessequals(X2,c_0,X1)
% 169.33/170.66 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5253]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24567,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.33/170.66 | c_lessequals(X2,c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24566]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5247,plain,
% 169.33/170.66 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_lessequals(c_0,X2,X1)
% 169.33/170.66 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11391_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24554,plain,
% 169.33/170.66 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_lessequals(c_0,X2,X1)
% 169.33/170.66 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5247]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24555,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_lessequals(c_0,X2,X0)
% 169.33/170.66 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24554]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5228,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.66 | ~ c_less(X2,c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11396_6) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24516,plain,
% 169.33/170.66 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.66 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.33/170.66 | ~ c_less(X2,c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5228]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24517,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | ~ c_less(X2,c_0,X0)
% 169.33/170.66 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24516]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5221,plain,
% 169.33/170.66 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.66 | ~ c_lessequals(X0,c_0,X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.66 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11397_6) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24502,plain,
% 169.33/170.66 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 169.33/170.66 | ~ c_lessequals(X0,c_0,X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X3)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 169.33/170.66 | ~ class_Numeral_Onumber(X3) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5221]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24503,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_lessequals(X1,c_0,X0)
% 169.33/170.66 | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24502]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5214,plain,
% 169.33/170.66 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ c_less(c_0,X3,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11398_6) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24488,plain,
% 169.33/170.66 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ c_less(c_0,X3,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5214]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24489,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.66 | ~ c_less(c_0,X2,X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.66 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24488]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5207,plain,
% 169.33/170.66 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ c_lessequals(c_0,X3,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11399_6) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24474,plain,
% 169.33/170.66 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 169.33/170.66 | ~ c_lessequals(c_0,X3,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.66 | ~ class_Numeral_Onumber(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5207]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24475,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_lessequals(c_0,X1,X0)
% 169.33/170.66 | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 169.33/170.66 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 169.33/170.66 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24474]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5205,plain,
% 169.33/170.66 ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.33/170.66 | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.33/170.66 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11406_1) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24470,plain,
% 169.33/170.66 ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.33/170.66 | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.33/170.66 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5205]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24471,plain,
% 169.33/170.66 ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.33/170.66 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.33/170.66 | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24470]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5186,plain,
% 169.33/170.66 ( c_less(c_0,X0,X1)
% 169.33/170.66 | c_less(X0,c_0,X1)
% 169.33/170.66 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11415_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24432,plain,
% 169.33/170.66 ( c_less(c_0,X0,X1)
% 169.33/170.66 | c_less(X0,c_0,X1)
% 169.33/170.66 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5186]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24433,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.33/170.66 | c_less(c_0,X2,X0)
% 169.33/170.66 | c_less(X2,c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24432]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5180,plain,
% 169.33/170.66 ( c_lessequals(c_0,X0,X1)
% 169.33/170.66 | c_lessequals(X0,c_0,X1)
% 169.33/170.66 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11416_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24420,plain,
% 169.33/170.66 ( c_lessequals(c_0,X0,X1)
% 169.33/170.66 | c_lessequals(X0,c_0,X1)
% 169.33/170.66 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5180]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24421,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.33/170.66 | c_lessequals(c_0,X2,X0)
% 169.33/170.66 | c_lessequals(X2,c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24420]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5174,plain,
% 169.33/170.66 ( c_less(c_0,X0,X1)
% 169.33/170.66 | c_less(X0,c_0,X1)
% 169.33/170.66 | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11417_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24408,plain,
% 169.33/170.66 ( c_less(c_0,X0,X1)
% 169.33/170.66 | c_less(X0,c_0,X1)
% 169.33/170.66 | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5174]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24409,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_less(c_0,X1,X0)
% 169.33/170.66 | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 169.33/170.66 | c_less(X1,c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24408]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5168,plain,
% 169.33/170.66 ( c_lessequals(c_0,X0,X1)
% 169.33/170.66 | c_lessequals(X0,c_0,X1)
% 169.33/170.66 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11418_5) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24396,plain,
% 169.33/170.66 ( c_lessequals(c_0,X0,X1)
% 169.33/170.66 | c_lessequals(X0,c_0,X1)
% 169.33/170.66 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5168]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24397,plain,
% 169.33/170.66 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.66 | c_lessequals(c_0,X1,X0)
% 169.33/170.66 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 169.33/170.66 | c_lessequals(X1,c_0,X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24396]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5166,plain,
% 169.33/170.66 ( ~ class_Orderings_Olinorder(X0)
% 169.33/170.66 | ~ c_lessequals(X1,X2,X0)
% 169.33/170.66 | c_lessequals(c_SetInterval_OatLeastLessThan(X3,X1,X0),c_SetInterval_OatLeastLessThan(X4,X2,X0),tc_set(X0))
% 169.33/170.66 | ~ c_lessequals(X4,X3,X0) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11420_1) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24392,plain,
% 169.33/170.66 ( ~ class_Orderings_Olinorder(X0)
% 169.33/170.66 | ~ c_lessequals(X1,X2,X0)
% 169.33/170.66 | c_lessequals(c_SetInterval_OatLeastLessThan(X3,X1,X0),c_SetInterval_OatLeastLessThan(X4,X2,X0),tc_set(X0))
% 169.33/170.66 | ~ c_lessequals(X4,X3,X0) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5166]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24393,plain,
% 169.33/170.66 ( ~ class_Orderings_Olinorder(X0)
% 169.33/170.66 | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.33/170.66 | ~ c_lessequals(X2,X4,X0)
% 169.33/170.66 | ~ c_lessequals(X3,X1,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24392]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5154,plain,
% 169.33/170.66 ( c_less(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 169.33/170.66 | ~ c_less(c_1,X0,X2)
% 169.33/170.66 | ~ c_less(X1,X3,tc_nat)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 169.33/170.66 | ~ class_Power_Orecpower(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11423_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24368,plain,
% 169.33/170.66 ( c_less(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 169.33/170.66 | ~ c_less(c_1,X0,X2)
% 169.33/170.66 | ~ c_less(X1,X3,tc_nat)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 169.33/170.66 | ~ class_Power_Orecpower(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5154]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24369,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.33/170.66 | ~ class_Power_Orecpower(X0)
% 169.33/170.66 | ~ c_less(c_1,X1,X0)
% 169.33/170.66 | c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 169.33/170.66 | ~ c_less(X2,X3,tc_nat) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24368]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5149,plain,
% 169.33/170.66 ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 169.33/170.66 | ~ c_lessequals(X1,X3,tc_nat)
% 169.33/170.66 | ~ c_less(c_1,X0,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 169.33/170.66 | ~ class_Power_Orecpower(X2) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11424_4) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24358,plain,
% 169.33/170.66 ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 169.33/170.66 | ~ c_lessequals(X1,X3,tc_nat)
% 169.33/170.66 | ~ c_less(c_1,X0,X2)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 169.33/170.66 | ~ class_Power_Orecpower(X2) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5149]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24359,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.33/170.66 | ~ class_Power_Orecpower(X0)
% 169.33/170.66 | c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 169.33/170.66 | ~ c_lessequals(X2,X3,tc_nat)
% 169.33/170.66 | ~ c_less(c_1,X1,X0) ),
% 169.33/170.66 inference(rewriting,[status(thm)],[c_24358]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_5143,plain,
% 169.33/170.66 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.33/170.66 | ~ 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.33/170.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11426_3) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24346,plain,
% 169.33/170.66 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.33/170.66 | ~ 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)
% 169.33/170.66 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.33/170.66 inference(copy,[status(esa)],[c_5143]) ).
% 169.33/170.66
% 169.33/170.66 cnf(c_24347,plain,
% 169.33/170.66 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.33/170.66 | ~ class_Numeral_Onumber__ring(X0)
% 169.33/170.66 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 169.33/170.67 | ~ 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) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24346]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5135,plain,
% 169.33/170.67 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.67 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.67 | ~ c_less(X2,c_0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11428_5) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24330,plain,
% 169.33/170.67 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.67 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.67 | ~ c_less(X2,c_0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5135]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24331,plain,
% 169.33/170.67 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.67 | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.33/170.67 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.67 | ~ c_less(X2,c_0,X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24330]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5129,plain,
% 169.33/170.67 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.67 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.67 | ~ c_less(c_0,X2,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11429_5) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24318,plain,
% 169.33/170.67 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.67 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.67 | ~ c_less(c_0,X2,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5129]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24319,plain,
% 169.33/170.67 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.67 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.67 | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.33/170.67 | ~ c_less(c_0,X2,X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24318]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5123,plain,
% 169.33/170.67 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.67 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.67 | ~ c_lessequals(X2,c_0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11430_5) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24306,plain,
% 169.33/170.67 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.67 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.67 | ~ c_lessequals(X2,c_0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5123]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24307,plain,
% 169.33/170.67 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.67 | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.33/170.67 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.33/170.67 | ~ c_lessequals(X2,c_0,X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24306]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5117,plain,
% 169.33/170.67 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.67 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.67 | ~ c_lessequals(c_0,X2,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11431_5) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24294,plain,
% 169.33/170.67 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 169.33/170.67 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.67 | ~ c_lessequals(c_0,X2,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5117]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24295,plain,
% 169.33/170.67 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.67 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.67 | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 169.33/170.67 | ~ c_lessequals(c_0,X2,X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24294]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5111,plain,
% 169.33/170.67 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.67 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.67 | ~ c_less(c_0,X2,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11432_5) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24282,plain,
% 169.33/170.67 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.67 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.67 | ~ c_less(c_0,X2,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5111]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24283,plain,
% 169.33/170.67 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.67 | ~ c_less(c_0,X1,X0)
% 169.33/170.67 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.33/170.67 | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24282]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5105,plain,
% 169.33/170.67 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.67 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.67 | ~ c_less(X2,c_0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11433_5) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24270,plain,
% 169.33/170.67 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.67 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.67 | ~ c_less(X2,c_0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5105]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24271,plain,
% 169.33/170.67 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.67 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.67 | c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.33/170.67 | ~ c_less(X2,c_0,X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24270]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5099,plain,
% 169.33/170.67 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.67 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.67 | ~ c_lessequals(c_0,X2,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11434_5) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24258,plain,
% 169.33/170.67 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.67 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.33/170.67 | ~ c_lessequals(c_0,X2,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5099]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24259,plain,
% 169.33/170.67 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.67 | ~ c_lessequals(c_0,X1,X0)
% 169.33/170.67 | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 169.33/170.67 | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24258]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5093,plain,
% 169.33/170.67 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.67 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.67 | ~ c_lessequals(X2,c_0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11435_5) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24246,plain,
% 169.33/170.67 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 169.33/170.67 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.67 | ~ c_lessequals(X2,c_0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5093]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24247,plain,
% 169.33/170.67 ( ~ class_Numeral_Onumber(X0)
% 169.33/170.67 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.67 | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 169.33/170.67 | ~ c_lessequals(X2,c_0,X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24246]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5087,plain,
% 169.33/170.67 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.33/170.67 | c_less(c_0,X1,X2)
% 169.33/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.33/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11436_5) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24234,plain,
% 169.33/170.67 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.33/170.67 | c_less(c_0,X1,X2)
% 169.33/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.33/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5087]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24235,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.33/170.67 | ~ class_Power_Orecpower(X0)
% 169.33/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.33/170.67 | c_less(c_0,X2,X0)
% 169.33/170.67 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24234]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5082,plain,
% 169.33/170.67 ( X0 = c_emptyset
% 169.33/170.67 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.33/170.67 | ~ c_less(X1,c_Main_OMin__gr__iff__1(X0,X1,X2),X2)
% 169.33/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.33/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11437_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24224,plain,
% 169.33/170.67 ( X0 = c_emptyset
% 169.33/170.67 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.33/170.67 | ~ c_less(X1,c_Main_OMin__gr__iff__1(X0,X1,X2),X2)
% 169.33/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.33/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5082]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24225,plain,
% 169.33/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.33/170.67 | c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 169.33/170.67 | ~ c_less(X1,c_Main_OMin__gr__iff__1(X2,X1,X0),X0)
% 169.33/170.67 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.33/170.67 | X2 = c_emptyset ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24224]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5077,plain,
% 169.33/170.67 ( X0 = c_emptyset
% 169.33/170.67 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.33/170.67 | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X0,X1,X2),X2)
% 169.33/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.33/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11438_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24214,plain,
% 169.33/170.67 ( X0 = c_emptyset
% 169.33/170.67 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.33/170.67 | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X0,X1,X2),X2)
% 169.33/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.33/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5077]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24215,plain,
% 169.33/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.33/170.67 | c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 169.33/170.67 | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X2,X1,X0),X0)
% 169.33/170.67 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.33/170.67 | X2 = c_emptyset ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24214]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5072,plain,
% 169.33/170.67 ( X0 = c_emptyset
% 169.33/170.67 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.33/170.67 | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 169.33/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.33/170.67 | ~ class_Orderings_Olinorder(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11439_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24204,plain,
% 169.33/170.67 ( X0 = c_emptyset
% 169.33/170.67 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.33/170.67 | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 169.33/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.33/170.67 | ~ class_Orderings_Olinorder(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5072]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24205,plain,
% 169.33/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.33/170.67 | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 169.33/170.67 | ~ c_less(c_Main_OMax__less__iff__1(X1,X2,X0),X2,X0)
% 169.33/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.33/170.67 | X1 = c_emptyset ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24204]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5067,plain,
% 169.33/170.67 ( X0 = c_emptyset
% 169.33/170.67 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.33/170.67 | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 169.33/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.33/170.67 | ~ class_Orderings_Olinorder(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11440_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24194,plain,
% 169.33/170.67 ( X0 = c_emptyset
% 169.33/170.67 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.33/170.67 | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 169.33/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.33/170.67 | ~ class_Orderings_Olinorder(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5067]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24195,plain,
% 169.33/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.33/170.67 | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 169.33/170.67 | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X2,X0),X2,X0)
% 169.33/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.33/170.67 | X1 = c_emptyset ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24194]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5062,plain,
% 169.33/170.67 ( c_lessequals(c_0,X0,X1)
% 169.33/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11445_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24184,plain,
% 169.33/170.67 ( c_lessequals(c_0,X0,X1)
% 169.33/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5062]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24185,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.33/170.67 | ~ class_Power_Orecpower(X0)
% 169.33/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.33/170.67 | c_lessequals(c_0,X2,X0) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24184]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5057,plain,
% 169.33/170.67 ( c_lessequals(X0,c_0,X1)
% 169.33/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11446_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24174,plain,
% 169.33/170.67 ( c_lessequals(X0,c_0,X1)
% 169.33/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5057]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24175,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.33/170.67 | ~ class_Power_Orecpower(X0)
% 169.33/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 169.33/170.67 | c_lessequals(X2,c_0,X0) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24174]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5054,plain,
% 169.33/170.67 ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_less(c_0,X1,tc_nat)
% 169.33/170.67 | ~ c_less(X0,X2,tc_nat) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11447_2) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24168,plain,
% 169.33/170.67 ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_less(c_0,X1,tc_nat)
% 169.33/170.67 | ~ c_less(X0,X2,tc_nat) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5054]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24169,plain,
% 169.33/170.67 ( ~ c_less(c_0,X0,tc_nat)
% 169.33/170.67 | c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_less(X1,X2,tc_nat) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24168]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5051,plain,
% 169.33/170.67 ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_less(c_0,X0,tc_nat)
% 169.33/170.67 | ~ c_less(X1,X2,tc_nat) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11448_2) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24162,plain,
% 169.33/170.67 ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_less(c_0,X0,tc_nat)
% 169.33/170.67 | ~ c_less(X1,X2,tc_nat) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5051]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24163,plain,
% 169.33/170.67 ( ~ c_less(c_0,X0,tc_nat)
% 169.33/170.67 | c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_less(X1,X2,tc_nat) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24162]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5039,plain,
% 169.33/170.67 ( 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)
% 169.33/170.67 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11459_3) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24138,plain,
% 169.33/170.67 ( 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)
% 169.33/170.67 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5039]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24139,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.33/170.67 | ~ class_Numeral_Onumber__ring(X0)
% 169.33/170.67 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 169.33/170.67 | 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) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24138]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5032,plain,
% 169.33/170.67 ( c_less(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_1,c_divide(X1,X0,X2),X2)
% 169.33/170.67 | ~ c_less(c_0,X0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11462_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24124,plain,
% 169.33/170.67 ( c_less(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_1,c_divide(X1,X0,X2),X2)
% 169.33/170.67 | ~ c_less(c_0,X0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5032]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24125,plain,
% 169.33/170.67 ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.33/170.67 | ~ c_less(c_0,X1,X2)
% 169.33/170.67 | c_less(X1,X0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24124]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5027,plain,
% 169.33/170.67 ( c_less(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.33/170.67 | ~ c_less(X1,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11463_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24114,plain,
% 169.33/170.67 ( c_less(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.33/170.67 | ~ c_less(X1,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5027]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24115,plain,
% 169.33/170.67 ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.33/170.67 | ~ c_less(X1,c_0,X2)
% 169.33/170.67 | c_less(X0,X1,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24114]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5022,plain,
% 169.33/170.67 ( c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_lessequals(c_1,c_divide(X1,X0,X2),X2)
% 169.33/170.67 | ~ c_less(c_0,X0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11464_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24104,plain,
% 169.33/170.67 ( c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_lessequals(c_1,c_divide(X1,X0,X2),X2)
% 169.33/170.67 | ~ c_less(c_0,X0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5022]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24105,plain,
% 169.33/170.67 ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.33/170.67 | c_lessequals(X1,X0,X2)
% 169.33/170.67 | ~ c_less(c_0,X1,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24104]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5017,plain,
% 169.33/170.67 ( c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.33/170.67 | ~ c_less(X1,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11465_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24094,plain,
% 169.33/170.67 ( c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.33/170.67 | ~ c_less(X1,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5017]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24095,plain,
% 169.33/170.67 ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.33/170.67 | c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_less(X1,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24094]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5012,plain,
% 169.33/170.67 ( c_less(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.33/170.67 | ~ c_less(c_0,X1,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11466_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24084,plain,
% 169.33/170.67 ( c_less(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.33/170.67 | ~ c_less(c_0,X1,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5012]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24085,plain,
% 169.33/170.67 ( ~ c_less(c_0,X0,X1)
% 169.33/170.67 | ~ c_less(c_divide(X2,X0,X1),c_1,X1)
% 169.33/170.67 | c_less(X2,X0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24084]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5007,plain,
% 169.33/170.67 ( c_less(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_divide(X1,X0,X2),c_1,X2)
% 169.33/170.67 | ~ c_less(X0,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11467_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24074,plain,
% 169.33/170.67 ( c_less(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_divide(X1,X0,X2),c_1,X2)
% 169.33/170.67 | ~ c_less(X0,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5007]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24075,plain,
% 169.33/170.67 ( ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.33/170.67 | ~ c_less(X1,c_0,X2)
% 169.33/170.67 | c_less(X1,X0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24074]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_5002,plain,
% 169.33/170.67 ( c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.33/170.67 | ~ c_less(c_0,X1,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11468_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24064,plain,
% 169.33/170.67 ( c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.33/170.67 | ~ c_less(c_0,X1,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_5002]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24065,plain,
% 169.33/170.67 ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.33/170.67 | c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_0,X1,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24064]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4997,plain,
% 169.33/170.67 ( c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_lessequals(c_divide(X1,X0,X2),c_1,X2)
% 169.33/170.67 | ~ c_less(X0,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11469_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24054,plain,
% 169.33/170.67 ( c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_lessequals(c_divide(X1,X0,X2),c_1,X2)
% 169.33/170.67 | ~ c_less(X0,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4997]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24055,plain,
% 169.33/170.67 ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.33/170.67 | c_lessequals(X1,X0,X2)
% 169.33/170.67 | ~ c_less(X1,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24054]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4988,plain,
% 169.33/170.67 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.33/170.67 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 169.33/170.67 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11472_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24036,plain,
% 169.33/170.67 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.33/170.67 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 169.33/170.67 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4988]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24037,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.33/170.67 | ~ class_Power_Orecpower(X0)
% 169.33/170.67 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.33/170.67 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24036]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4984,plain,
% 169.33/170.67 ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.67 | ~ 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)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11473_3) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24028,plain,
% 169.33/170.67 ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.33/170.67 | ~ 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)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4984]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24029,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.33/170.67 | ~ class_Numeral_Onumber__ring(X0)
% 169.33/170.67 | c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 169.33/170.67 | ~ 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) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24028]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4975,plain,
% 169.33/170.67 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.33/170.67 | c_less(c_0,c_0,X1)
% 169.33/170.67 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11476_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24010,plain,
% 169.33/170.67 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.33/170.67 | c_less(c_0,c_0,X1)
% 169.33/170.67 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.33/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4975]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24011,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.33/170.67 | ~ class_Power_Orecpower(X0)
% 169.33/170.67 | c_less(c_0,c_0,X0)
% 169.33/170.67 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.33/170.67 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24010]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4972,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.33/170.67 | ~ c_less(X1,c_0,X0)
% 169.33/170.67 | c_less(X1,X2,X0)
% 169.33/170.67 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.33/170.67 | ~ c_less(X2,c_0,X0) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11477_2) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24004,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.33/170.67 | ~ c_less(X1,c_0,X0)
% 169.33/170.67 | c_less(X1,X2,X0)
% 169.33/170.67 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.33/170.67 | ~ c_less(X2,c_0,X0) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4972]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24005,plain,
% 169.33/170.67 ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.33/170.67 | ~ c_less(X2,c_0,X1)
% 169.33/170.67 | ~ c_less(X0,c_0,X1)
% 169.33/170.67 | c_less(X2,X0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24004]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4970,plain,
% 169.33/170.67 ( c_less(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.33/170.67 | ~ c_less(X1,c_0,X2)
% 169.33/170.67 | ~ c_less(X0,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11477_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24000,plain,
% 169.33/170.67 ( c_less(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.33/170.67 | ~ c_less(X1,c_0,X2)
% 169.33/170.67 | ~ c_less(X0,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4970]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_24001,plain,
% 169.33/170.67 ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.33/170.67 | ~ c_less(X0,c_0,X1)
% 169.33/170.67 | ~ c_less(X2,c_0,X1)
% 169.33/170.67 | c_less(X2,X0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_24000]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4967,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.33/170.67 | ~ c_less(c_0,X1,X0)
% 169.33/170.67 | c_less(X1,X2,X0)
% 169.33/170.67 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.33/170.67 | ~ c_less(c_0,X2,X0) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11478_2) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23994,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.33/170.67 | ~ c_less(c_0,X1,X0)
% 169.33/170.67 | c_less(X1,X2,X0)
% 169.33/170.67 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.33/170.67 | ~ c_less(c_0,X2,X0) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4967]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23995,plain,
% 169.33/170.67 ( ~ c_less(c_0,X0,X1)
% 169.33/170.67 | ~ c_less(c_0,X2,X1)
% 169.33/170.67 | ~ c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 169.33/170.67 | c_less(X0,X2,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_23994]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4965,plain,
% 169.33/170.67 ( c_less(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.33/170.67 | ~ c_less(c_0,X1,X2)
% 169.33/170.67 | ~ c_less(c_0,X0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11478_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23990,plain,
% 169.33/170.67 ( c_less(X0,X1,X2)
% 169.33/170.67 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.33/170.67 | ~ c_less(c_0,X1,X2)
% 169.33/170.67 | ~ c_less(c_0,X0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4965]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23991,plain,
% 169.33/170.67 ( ~ c_less(c_0,X0,X1)
% 169.33/170.67 | ~ c_less(c_0,X2,X1)
% 169.33/170.67 | ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.33/170.67 | c_less(X2,X0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_23990]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4962,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.33/170.67 | ~ c_less(X1,c_0,X0)
% 169.33/170.67 | c_lessequals(X1,X2,X0)
% 169.33/170.67 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.33/170.67 | ~ c_less(X2,c_0,X0) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11479_2) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23984,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.33/170.67 | ~ c_less(X1,c_0,X0)
% 169.33/170.67 | c_lessequals(X1,X2,X0)
% 169.33/170.67 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.33/170.67 | ~ c_less(X2,c_0,X0) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4962]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23985,plain,
% 169.33/170.67 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.33/170.67 | c_lessequals(X2,X0,X1)
% 169.33/170.67 | ~ c_less(X2,c_0,X1)
% 169.33/170.67 | ~ c_less(X0,c_0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_23984]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4960,plain,
% 169.33/170.67 ( c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.33/170.67 | ~ c_less(X1,c_0,X2)
% 169.33/170.67 | ~ c_less(X0,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11479_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23980,plain,
% 169.33/170.67 ( c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.33/170.67 | ~ c_less(X1,c_0,X2)
% 169.33/170.67 | ~ c_less(X0,c_0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4960]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23981,plain,
% 169.33/170.67 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.33/170.67 | c_lessequals(X2,X0,X1)
% 169.33/170.67 | ~ c_less(X0,c_0,X1)
% 169.33/170.67 | ~ c_less(X2,c_0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_23980]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4957,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.33/170.67 | ~ c_less(c_0,X1,X0)
% 169.33/170.67 | c_lessequals(X1,X2,X0)
% 169.33/170.67 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.33/170.67 | ~ c_less(c_0,X2,X0) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11480_2) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23974,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.33/170.67 | ~ c_less(c_0,X1,X0)
% 169.33/170.67 | c_lessequals(X1,X2,X0)
% 169.33/170.67 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.33/170.67 | ~ c_less(c_0,X2,X0) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4957]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23975,plain,
% 169.33/170.67 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.33/170.67 | c_lessequals(X2,X0,X1)
% 169.33/170.67 | ~ c_less(c_0,X2,X1)
% 169.33/170.67 | ~ c_less(c_0,X0,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_23974]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4955,plain,
% 169.33/170.67 ( c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.33/170.67 | ~ c_less(c_0,X1,X2)
% 169.33/170.67 | ~ c_less(c_0,X0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11480_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23970,plain,
% 169.33/170.67 ( c_lessequals(X0,X1,X2)
% 169.33/170.67 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 169.33/170.67 | ~ c_less(c_0,X1,X2)
% 169.33/170.67 | ~ c_less(c_0,X0,X2)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4955]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23971,plain,
% 169.33/170.67 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.33/170.67 | c_lessequals(X2,X0,X1)
% 169.33/170.67 | ~ c_less(c_0,X0,X1)
% 169.33/170.67 | ~ c_less(c_0,X2,X1)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_23970]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4944,plain,
% 169.33/170.67 ( X0 = c_0
% 169.33/170.67 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 169.33/170.67 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.33/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11484_4) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23948,plain,
% 169.33/170.67 ( X0 = c_0
% 169.33/170.67 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 169.33/170.67 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.33/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4944]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23949,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.33/170.67 | ~ class_Power_Orecpower(X0)
% 169.33/170.67 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 169.33/170.67 | X2 = c_0 ),
% 169.33/170.67 inference(rewriting,[status(thm)],[c_23948]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_4936,plain,
% 169.33/170.67 ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 169.33/170.67 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.33/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.33/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11488_3) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23932,plain,
% 169.33/170.67 ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 169.33/170.67 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.33/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.33/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.33/170.67 inference(copy,[status(esa)],[c_4936]) ).
% 169.33/170.67
% 169.33/170.67 cnf(c_23933,plain,
% 169.33/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.33/170.67 | ~ class_Power_Orecpower(X0)
% 169.33/170.67 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.33/170.67 | ~ c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23932]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4929,plain,
% 169.38/170.67 ( X0 = c_0
% 169.38/170.67 | c_lessequals(X0,c_0,X1)
% 169.38/170.67 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11490_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23918,plain,
% 169.38/170.67 ( X0 = c_0
% 169.38/170.67 | c_lessequals(X0,c_0,X1)
% 169.38/170.67 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4929]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23919,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.67 | ~ class_Power_Orecpower(X0)
% 169.38/170.67 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 169.38/170.67 | c_lessequals(X1,c_0,X0)
% 169.38/170.67 | X1 = c_0 ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23918]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4923,plain,
% 169.38/170.67 ( c_less(X0,c_0,X1)
% 169.38/170.67 | ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11492_3) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23906,plain,
% 169.38/170.67 ( c_less(X0,c_0,X1)
% 169.38/170.67 | ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4923]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23907,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.67 | ~ class_Power_Orecpower(X0)
% 169.38/170.67 | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 169.38/170.67 | c_less(X1,c_0,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23906]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4900,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_less(X1,X2,X3)
% 169.38/170.67 | ~ c_less(X1,c_Finite__Set_OMin(X0,X3),X3)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.38/170.67 | ~ c_in(X2,X0,X3)
% 169.38/170.67 | ~ class_Orderings_Olinorder(X3) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11502_5) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23860,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_less(X1,X2,X3)
% 169.38/170.67 | ~ c_less(X1,c_Finite__Set_OMin(X0,X3),X3)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.38/170.67 | ~ c_in(X2,X0,X3)
% 169.38/170.67 | ~ class_Orderings_Olinorder(X3) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4900]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23861,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | ~ c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 169.38/170.67 | c_less(X1,X3,X0)
% 169.38/170.67 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.67 | ~ c_in(X3,X2,X0)
% 169.38/170.67 | X2 = c_emptyset ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23860]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4894,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_lessequals(X1,X2,X3)
% 169.38/170.67 | ~ c_lessequals(X1,c_Finite__Set_OMin(X0,X3),X3)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.38/170.67 | ~ c_in(X2,X0,X3)
% 169.38/170.67 | ~ class_Orderings_Olinorder(X3) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11503_5) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23848,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_lessequals(X1,X2,X3)
% 169.38/170.67 | ~ c_lessequals(X1,c_Finite__Set_OMin(X0,X3),X3)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.38/170.67 | ~ c_in(X2,X0,X3)
% 169.38/170.67 | ~ class_Orderings_Olinorder(X3) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4894]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23849,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | ~ c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 169.38/170.67 | c_lessequals(X1,X3,X0)
% 169.38/170.67 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.67 | ~ c_in(X3,X2,X0)
% 169.38/170.67 | X2 = c_emptyset ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23848]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4888,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_less(X1,X2,X3)
% 169.38/170.67 | ~ c_less(c_Finite__Set_OMax(X0,X3),X2,X3)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.38/170.67 | ~ c_in(X1,X0,X3)
% 169.38/170.67 | ~ class_Orderings_Olinorder(X3) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11504_5) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23836,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_less(X1,X2,X3)
% 169.38/170.67 | ~ c_less(c_Finite__Set_OMax(X0,X3),X2,X3)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.38/170.67 | ~ c_in(X1,X0,X3)
% 169.38/170.67 | ~ class_Orderings_Olinorder(X3) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4888]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23837,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | ~ c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 169.38/170.67 | c_less(X3,X2,X0)
% 169.38/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.67 | ~ c_in(X3,X1,X0)
% 169.38/170.67 | X1 = c_emptyset ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23836]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4882,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_lessequals(X1,X2,X3)
% 169.38/170.67 | ~ c_lessequals(c_Finite__Set_OMax(X0,X3),X2,X3)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.38/170.67 | ~ c_in(X1,X0,X3)
% 169.38/170.67 | ~ class_Orderings_Olinorder(X3) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11505_5) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23824,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_lessequals(X1,X2,X3)
% 169.38/170.67 | ~ c_lessequals(c_Finite__Set_OMax(X0,X3),X2,X3)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 169.38/170.67 | ~ c_in(X1,X0,X3)
% 169.38/170.67 | ~ class_Orderings_Olinorder(X3) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4882]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23825,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | ~ c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 169.38/170.67 | c_lessequals(X3,X2,X0)
% 169.38/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.67 | ~ c_in(X3,X1,X0)
% 169.38/170.67 | X1 = c_emptyset ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23824]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4879,plain,
% 169.38/170.67 ( 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)
% 169.38/170.67 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.67 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11506_2) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23818,plain,
% 169.38/170.67 ( 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)
% 169.38/170.67 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.67 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4879]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23819,plain,
% 169.38/170.67 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.67 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.67 | 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) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23818]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4875,plain,
% 169.38/170.67 ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.67 | 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)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11507_3) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23810,plain,
% 169.38/170.67 ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.67 | 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)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4875]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23811,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.67 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.67 | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 169.38/170.67 | 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) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23810]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4870,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.67 | ~ c_less(X1,X2,X0)
% 169.38/170.67 | ~ c_less(X1,c_0,X0)
% 169.38/170.67 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.38/170.67 | ~ c_less(X2,c_0,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11509_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23800,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.67 | ~ c_less(X1,X2,X0)
% 169.38/170.67 | ~ c_less(X1,c_0,X0)
% 169.38/170.67 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.38/170.67 | ~ c_less(X2,c_0,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4870]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23801,plain,
% 169.38/170.67 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.38/170.67 | ~ c_less(X2,c_0,X1)
% 169.38/170.67 | ~ c_less(X0,c_0,X1)
% 169.38/170.67 | ~ c_less(X2,X0,X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23800]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4865,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.67 | ~ c_less(X1,X2,X0)
% 169.38/170.67 | ~ c_less(c_0,X1,X0)
% 169.38/170.67 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.38/170.67 | ~ c_less(c_0,X2,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11510_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23790,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.67 | ~ c_less(X1,X2,X0)
% 169.38/170.67 | ~ c_less(c_0,X1,X0)
% 169.38/170.67 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.38/170.67 | ~ c_less(c_0,X2,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4865]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23791,plain,
% 169.38/170.67 ( ~ c_less(c_0,X0,X1)
% 169.38/170.67 | ~ c_less(c_0,X2,X1)
% 169.38/170.67 | c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.67 | ~ c_less(X0,X2,X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23790]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4862,plain,
% 169.38/170.67 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.38/170.67 | ~ c_less(c_0,X0,X1)
% 169.38/170.67 | ~ c_less(c_0,X2,X1)
% 169.38/170.67 | ~ c_less(X2,X0,X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11510_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23784,plain,
% 169.38/170.67 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.38/170.67 | ~ c_less(c_0,X0,X1)
% 169.38/170.67 | ~ c_less(c_0,X2,X1)
% 169.38/170.67 | ~ c_less(X2,X0,X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4862]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23785,plain,
% 169.38/170.67 ( ~ c_less(c_0,X0,X1)
% 169.38/170.67 | ~ c_less(c_0,X2,X1)
% 169.38/170.67 | c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.38/170.67 | ~ c_less(X2,X0,X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23784]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4859,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.67 | ~ c_less(X1,c_0,X0)
% 169.38/170.67 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.38/170.67 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.67 | ~ c_less(X2,c_0,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11511_2) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23778,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.67 | ~ c_less(X1,c_0,X0)
% 169.38/170.67 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.38/170.67 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.67 | ~ c_less(X2,c_0,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4859]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23779,plain,
% 169.38/170.67 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.38/170.67 | ~ c_lessequals(X2,X0,X1)
% 169.38/170.67 | ~ c_less(X2,c_0,X1)
% 169.38/170.67 | ~ c_less(X0,c_0,X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23778]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4854,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.67 | ~ c_less(c_0,X1,X0)
% 169.38/170.67 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.38/170.67 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.67 | ~ c_less(c_0,X2,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11512_2) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23768,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.67 | ~ c_less(c_0,X1,X0)
% 169.38/170.67 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 169.38/170.67 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.67 | ~ c_less(c_0,X2,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4854]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23769,plain,
% 169.38/170.67 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.38/170.67 | ~ c_lessequals(X2,X0,X1)
% 169.38/170.67 | ~ c_less(c_0,X2,X1)
% 169.38/170.67 | ~ c_less(c_0,X0,X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23768]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4844,plain,
% 169.38/170.67 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.38/170.67 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11515_3) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23748,plain,
% 169.38/170.67 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.38/170.67 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4844]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23749,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.67 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.67 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 169.38/170.67 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23748]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4827,plain,
% 169.38/170.67 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.67 | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
% 169.38/170.67 | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11521_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23714,plain,
% 169.38/170.67 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.67 | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
% 169.38/170.67 | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4827]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23715,plain,
% 169.38/170.67 ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 169.38/170.67 | ~ c_lessequals(X1,X3,tc_set(X2))
% 169.38/170.67 | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23714]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4824,plain,
% 169.38/170.67 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.67 | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2))
% 169.38/170.67 | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11522_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23708,plain,
% 169.38/170.67 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.67 | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2))
% 169.38/170.67 | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4824]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23709,plain,
% 169.38/170.67 ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 169.38/170.67 | ~ c_lessequals(X0,X2,tc_set(X3))
% 169.38/170.67 | ~ c_lessequals(X0,X1,tc_set(X3)) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23708]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4815,plain,
% 169.38/170.67 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.38/170.67 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11525_3) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23690,plain,
% 169.38/170.67 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.38/170.67 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4815]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23691,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.67 | ~ class_Power_Orecpower(X0)
% 169.38/170.67 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 169.38/170.67 | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23690]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4813,plain,
% 169.38/170.67 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.67 | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.67 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11528_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23686,plain,
% 169.38/170.67 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.67 | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.67 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4813]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23687,plain,
% 169.38/170.67 ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23686]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4806,plain,
% 169.38/170.67 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.67 | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 169.38/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.67 | ~ c_lessequals(X1,c_0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11529_5) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23672,plain,
% 169.38/170.67 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.67 | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 169.38/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.67 | ~ c_lessequals(X1,c_0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4806]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23673,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.67 | ~ class_Power_Orecpower(X0)
% 169.38/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.67 | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 169.38/170.67 | ~ c_lessequals(X2,c_0,X0)
% 169.38/170.67 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23672]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4789,plain,
% 169.38/170.67 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.38/170.67 | ~ c_less(c_0,X1,X2)
% 169.38/170.67 | ~ c_less(X1,X0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11534_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23638,plain,
% 169.38/170.67 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.38/170.67 | ~ c_less(c_0,X1,X2)
% 169.38/170.67 | ~ c_less(X1,X0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4789]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23639,plain,
% 169.38/170.67 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.38/170.67 | ~ c_less(c_0,X1,X2)
% 169.38/170.67 | ~ c_less(X1,X0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23638]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4784,plain,
% 169.38/170.67 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.38/170.67 | ~ c_less(X1,c_0,X2)
% 169.38/170.67 | ~ c_less(X0,X1,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11535_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23628,plain,
% 169.38/170.67 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.38/170.67 | ~ c_less(X1,c_0,X2)
% 169.38/170.67 | ~ c_less(X0,X1,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4784]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23629,plain,
% 169.38/170.67 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 169.38/170.67 | ~ c_less(X1,c_0,X2)
% 169.38/170.67 | ~ c_less(X0,X1,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23628]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4779,plain,
% 169.38/170.67 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.38/170.67 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.67 | ~ c_less(c_0,X1,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11536_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23618,plain,
% 169.38/170.67 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.38/170.67 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.67 | ~ c_less(c_0,X1,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4779]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23619,plain,
% 169.38/170.67 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.38/170.67 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.67 | ~ c_less(c_0,X1,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23618]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4774,plain,
% 169.38/170.67 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.38/170.67 | ~ c_lessequals(X0,X1,X2)
% 169.38/170.67 | ~ c_less(X1,c_0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11537_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23608,plain,
% 169.38/170.67 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.38/170.67 | ~ c_lessequals(X0,X1,X2)
% 169.38/170.67 | ~ c_less(X1,c_0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4774]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23609,plain,
% 169.38/170.67 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 169.38/170.67 | ~ c_lessequals(X0,X1,X2)
% 169.38/170.67 | ~ c_less(X1,c_0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23608]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4769,plain,
% 169.38/170.67 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.38/170.67 | ~ c_less(c_0,X1,X2)
% 169.38/170.67 | ~ c_less(X0,X1,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11538_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23598,plain,
% 169.38/170.67 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.38/170.67 | ~ c_less(c_0,X1,X2)
% 169.38/170.67 | ~ c_less(X0,X1,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4769]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23599,plain,
% 169.38/170.67 ( ~ c_less(c_0,X0,X1)
% 169.38/170.67 | c_less(c_divide(X2,X0,X1),c_1,X1)
% 169.38/170.67 | ~ c_less(X2,X0,X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23598]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4764,plain,
% 169.38/170.67 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.38/170.67 | ~ c_less(X1,c_0,X2)
% 169.38/170.67 | ~ c_less(X1,X0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11539_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23588,plain,
% 169.38/170.67 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.38/170.67 | ~ c_less(X1,c_0,X2)
% 169.38/170.67 | ~ c_less(X1,X0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4764]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23589,plain,
% 169.38/170.67 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 169.38/170.67 | ~ c_less(X1,c_0,X2)
% 169.38/170.67 | ~ c_less(X1,X0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23588]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4759,plain,
% 169.38/170.67 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.38/170.67 | ~ c_lessequals(X0,X1,X2)
% 169.38/170.67 | ~ c_less(c_0,X1,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11540_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23578,plain,
% 169.38/170.67 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.38/170.67 | ~ c_lessequals(X0,X1,X2)
% 169.38/170.67 | ~ c_less(c_0,X1,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4759]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23579,plain,
% 169.38/170.67 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.38/170.67 | ~ c_lessequals(X0,X1,X2)
% 169.38/170.67 | ~ c_less(c_0,X1,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23578]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4754,plain,
% 169.38/170.67 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.38/170.67 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.67 | ~ c_less(X1,c_0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11541_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23568,plain,
% 169.38/170.67 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.38/170.67 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.67 | ~ c_less(X1,c_0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4754]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23569,plain,
% 169.38/170.67 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 169.38/170.67 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.67 | ~ c_less(X1,c_0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23568]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4741,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.38/170.67 | c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11546_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23542,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.38/170.67 | c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4741]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23543,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 169.38/170.67 | c_in(c_Main_OMin__gr__iff__1(X2,X1,X0),X2,X0)
% 169.38/170.67 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.67 | X2 = c_emptyset ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23542]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4736,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.38/170.67 | c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11547_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23532,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 169.38/170.67 | c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4736]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23533,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 169.38/170.67 | c_in(c_Main_OMin__ge__iff__1(X2,X1,X0),X2,X0)
% 169.38/170.67 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.67 | X2 = c_emptyset ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23532]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4731,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.38/170.67 | c_in(c_Main_OMax__less__iff__1(X0,X2,X1),X0,X1)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.67 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11548_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23522,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.38/170.67 | c_in(c_Main_OMax__less__iff__1(X0,X2,X1),X0,X1)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.67 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4731]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23523,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 169.38/170.67 | c_in(c_Main_OMax__less__iff__1(X1,X2,X0),X1,X0)
% 169.38/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.67 | X1 = c_emptyset ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23522]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4726,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.38/170.67 | c_in(c_Main_OMax__le__iff__1(X0,X2,X1),X0,X1)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.67 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11549_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23512,plain,
% 169.38/170.67 ( X0 = c_emptyset
% 169.38/170.67 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 169.38/170.67 | c_in(c_Main_OMax__le__iff__1(X0,X2,X1),X0,X1)
% 169.38/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.67 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4726]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23513,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 169.38/170.67 | c_in(c_Main_OMax__le__iff__1(X1,X2,X0),X1,X0)
% 169.38/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.67 | X1 = c_emptyset ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23512]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4722,plain,
% 169.38/170.67 ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 169.38/170.67 | ~ c_less(X1,X0,X3)
% 169.38/170.67 | ~ c_less(X0,X2,X3)
% 169.38/170.67 | ~ class_Orderings_Oord(X3) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11550_3) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23504,plain,
% 169.38/170.67 ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 169.38/170.67 | ~ c_less(X1,X0,X3)
% 169.38/170.67 | ~ c_less(X0,X2,X3)
% 169.38/170.67 | ~ class_Orderings_Oord(X3) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4722]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23505,plain,
% 169.38/170.67 ( ~ class_Orderings_Oord(X0)
% 169.38/170.67 | ~ c_less(X1,X2,X0)
% 169.38/170.67 | ~ c_less(X2,X3,X0)
% 169.38/170.67 | c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X3,X0),X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23504]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4718,plain,
% 169.38/170.67 ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 169.38/170.67 | ~ c_lessequals(X0,X2,X3)
% 169.38/170.67 | ~ c_less(X1,X0,X3)
% 169.38/170.67 | ~ class_Orderings_Oord(X3) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11551_3) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23496,plain,
% 169.38/170.67 ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 169.38/170.67 | ~ c_lessequals(X0,X2,X3)
% 169.38/170.67 | ~ c_less(X1,X0,X3)
% 169.38/170.67 | ~ class_Orderings_Oord(X3) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4718]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23497,plain,
% 169.38/170.67 ( ~ class_Orderings_Oord(X0)
% 169.38/170.67 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.67 | ~ c_less(X3,X1,X0)
% 169.38/170.67 | c_in(X1,c_SetInterval_OgreaterThanAtMost(X3,X2,X0),X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23496]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4714,plain,
% 169.38/170.67 ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 169.38/170.67 | ~ c_lessequals(X1,X0,X3)
% 169.38/170.67 | ~ c_less(X0,X2,X3)
% 169.38/170.67 | ~ class_Orderings_Oord(X3) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11552_3) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23488,plain,
% 169.38/170.67 ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 169.38/170.67 | ~ c_lessequals(X1,X0,X3)
% 169.38/170.67 | ~ c_less(X0,X2,X3)
% 169.38/170.67 | ~ class_Orderings_Oord(X3) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4714]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23489,plain,
% 169.38/170.67 ( ~ class_Orderings_Oord(X0)
% 169.38/170.67 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.67 | ~ c_less(X2,X3,X0)
% 169.38/170.67 | c_in(X2,c_SetInterval_OatLeastLessThan(X1,X3,X0),X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23488]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4710,plain,
% 169.38/170.67 ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 169.38/170.67 | ~ c_lessequals(X1,X0,X3)
% 169.38/170.67 | ~ c_lessequals(X0,X2,X3)
% 169.38/170.67 | ~ class_Orderings_Oord(X3) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11553_3) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23480,plain,
% 169.38/170.67 ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 169.38/170.67 | ~ c_lessequals(X1,X0,X3)
% 169.38/170.67 | ~ c_lessequals(X0,X2,X3)
% 169.38/170.67 | ~ class_Orderings_Oord(X3) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4710]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23481,plain,
% 169.38/170.67 ( ~ class_Orderings_Oord(X0)
% 169.38/170.67 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.67 | ~ c_lessequals(X2,X3,X0)
% 169.38/170.67 | c_in(X2,c_SetInterval_OatLeastAtMost(X1,X3,X0),X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23480]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4708,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.67 | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 169.38/170.67 | ~ c_lessequals(X3,X2,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11554_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23476,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.67 | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 169.38/170.67 | ~ c_lessequals(X3,X2,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4708]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23477,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.38/170.67 | ~ c_lessequals(X2,X3,X0)
% 169.38/170.67 | ~ c_lessequals(X1,X3,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23476]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4704,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.67 | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 169.38/170.67 | ~ c_lessequals(X1,X3,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11555_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23468,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.67 | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 169.38/170.67 | ~ c_lessequals(X1,X3,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4704]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23469,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.38/170.67 | ~ c_lessequals(X1,X3,X0)
% 169.38/170.67 | ~ c_lessequals(X1,X2,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23468]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4700,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | ~ c_less(X1,X2,X0)
% 169.38/170.67 | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 169.38/170.67 | ~ c_less(X1,X3,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11556_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23460,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | ~ c_less(X1,X2,X0)
% 169.38/170.67 | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 169.38/170.67 | ~ c_less(X1,X3,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4700]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23461,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.38/170.67 | ~ c_less(X1,X3,X0)
% 169.38/170.67 | ~ c_less(X1,X2,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23460]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4696,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | ~ c_less(X1,X2,X0)
% 169.38/170.67 | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 169.38/170.67 | ~ c_less(X3,X2,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11557_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23452,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | ~ c_less(X1,X2,X0)
% 169.38/170.67 | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 169.38/170.67 | ~ c_less(X3,X2,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4696]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23453,plain,
% 169.38/170.67 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.67 | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.38/170.67 | ~ c_less(X2,X3,X0)
% 169.38/170.67 | ~ c_less(X1,X3,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23452]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4679,plain,
% 169.38/170.67 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.38/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.67 | ~ c_less(c_0,X0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11563_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23418,plain,
% 169.38/170.67 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.38/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.67 | ~ c_less(c_0,X0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4679]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23419,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.67 | ~ class_Power_Orecpower(X0)
% 169.38/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.67 | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.38/170.67 | ~ c_less(c_0,X2,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23418]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4674,plain,
% 169.38/170.67 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.38/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.67 | ~ c_lessequals(c_0,X0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11564_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23408,plain,
% 169.38/170.67 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.38/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.67 | ~ c_lessequals(c_0,X0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4674]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23409,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.67 | ~ class_Power_Orecpower(X0)
% 169.38/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.67 | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.38/170.67 | ~ c_lessequals(c_0,X2,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23408]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4669,plain,
% 169.38/170.67 ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 169.38/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.67 | ~ c_less(X0,c_0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11565_4) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23398,plain,
% 169.38/170.67 ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 169.38/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.67 | ~ c_less(X0,c_0,X2)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.67 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4669]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23399,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.67 | ~ class_Power_Orecpower(X0)
% 169.38/170.67 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.67 | c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 169.38/170.67 | ~ c_less(X2,c_0,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23398]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4665,plain,
% 169.38/170.67 ( X0 = c_0
% 169.38/170.67 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X0,X1),X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11566_3) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23390,plain,
% 169.38/170.67 ( X0 = c_0
% 169.38/170.67 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X0,X1),X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.67 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4665]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23391,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.67 | ~ class_Power_Orecpower(X0)
% 169.38/170.67 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X0),X1,X0),X0)
% 169.38/170.67 | X1 = c_0 ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23390]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4647,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_ONats,X0)
% 169.38/170.67 | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11572_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23354,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_ONats,X0)
% 169.38/170.67 | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4647]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23355,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.38/170.67 | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_ONats,X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_ONats,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23354]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4643,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_ONats,X0)
% 169.38/170.67 | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11573_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23346,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_ONats,X0)
% 169.38/170.67 | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4643]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23347,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.38/170.67 | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_ONats,X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_ONats,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23346]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4639,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.38/170.67 | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11574_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23338,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.38/170.67 | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4639]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23339,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.67 | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_OInts,X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23338]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4635,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.38/170.67 | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11575_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23330,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.38/170.67 | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4635]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23331,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.67 | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_OInts,X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23330]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4631,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.38/170.67 | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11576_1) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23322,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.38/170.67 | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4631]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23323,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.67 | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 169.38/170.67 | ~ c_in(X2,c_IntDef_OInts,X0)
% 169.38/170.67 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23322]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4625,plain,
% 169.38/170.67 ( 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)
% 169.38/170.67 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11577_3) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23310,plain,
% 169.38/170.67 ( 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)
% 169.38/170.67 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.67 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.67 inference(copy,[status(esa)],[c_4625]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23311,plain,
% 169.38/170.67 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.67 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.67 | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 169.38/170.67 | 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) ),
% 169.38/170.67 inference(rewriting,[status(thm)],[c_23310]) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_4618,plain,
% 169.38/170.67 ( ~ c_List_Odistinct(X0,X1)
% 169.38/170.67 | c_List_Odistinct(c_append(X2,X0,X1),X1)
% 169.38/170.67 | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 169.38/170.67 | ~ c_List_Odistinct(X2,X1) ),
% 169.38/170.67 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11580_2) ).
% 169.38/170.67
% 169.38/170.67 cnf(c_23296,plain,
% 169.38/170.68 ( ~ c_List_Odistinct(X0,X1)
% 169.38/170.68 | c_List_Odistinct(c_append(X2,X0,X1),X1)
% 169.38/170.68 | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 169.38/170.68 | ~ c_List_Odistinct(X2,X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4618]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23297,plain,
% 169.38/170.68 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 169.38/170.68 | ~ c_List_Odistinct(X1,X2)
% 169.38/170.68 | ~ c_List_Odistinct(X0,X2)
% 169.38/170.68 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23296]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4617,plain,
% 169.38/170.68 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 169.38/170.68 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 169.38/170.68 | ~ c_List_Odistinct(X0,X2)
% 169.38/170.68 | ~ c_List_Odistinct(X1,X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11580_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23294,plain,
% 169.38/170.68 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 169.38/170.68 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 169.38/170.68 | ~ c_List_Odistinct(X0,X2)
% 169.38/170.68 | ~ c_List_Odistinct(X1,X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4617]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23295,plain,
% 169.38/170.68 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 169.38/170.68 | ~ c_List_Odistinct(X0,X2)
% 169.38/170.68 | ~ c_List_Odistinct(X1,X2)
% 169.38/170.68 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23294]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4615,plain,
% 169.38/170.68 ( ~ c_in(X0,X1,X2) | c_in(X0,c_inter(X3,X1,X2),X2) | ~ c_in(X0,X3,X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11581_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23290,plain,
% 169.38/170.68 ( ~ c_in(X0,X1,X2) | c_in(X0,c_inter(X3,X1,X2),X2) | ~ c_in(X0,X3,X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4615]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23291,plain,
% 169.38/170.68 ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) | ~ c_in(X0,X1,X3) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23290]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4591,plain,
% 169.38/170.68 ( c_less(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.38/170.68 | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11592_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23242,plain,
% 169.38/170.68 ( c_less(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.38/170.68 | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4591]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23243,plain,
% 169.38/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber(X0)
% 169.38/170.68 | ~ c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.38/170.68 | c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23242]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4587,plain,
% 169.38/170.68 ( c_lessequals(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.38/170.68 | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11593_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23234,plain,
% 169.38/170.68 ( c_lessequals(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.38/170.68 | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4587]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23235,plain,
% 169.38/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber(X0)
% 169.38/170.68 | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.38/170.68 | c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23234]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4583,plain,
% 169.38/170.68 ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 169.38/170.68 | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11594_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23226,plain,
% 169.38/170.68 ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 169.38/170.68 | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4583]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23227,plain,
% 169.38/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber(X0)
% 169.38/170.68 | c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 169.38/170.68 | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23226]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4579,plain,
% 169.38/170.68 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 169.38/170.68 | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11595_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23218,plain,
% 169.38/170.68 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 169.38/170.68 | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4579]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23219,plain,
% 169.38/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber(X0)
% 169.38/170.68 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 169.38/170.68 | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23218]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4568,plain,
% 169.38/170.68 ( X0 = X1
% 169.38/170.68 | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 169.38/170.68 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.38/170.68 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11603_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23196,plain,
% 169.38/170.68 ( X0 = X1
% 169.38/170.68 | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 169.38/170.68 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.38/170.68 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4568]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23197,plain,
% 169.38/170.68 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.38/170.68 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.38/170.68 | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 169.38/170.68 | X0 = X1 ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23196]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4554,plain,
% 169.38/170.68 ( ~ c_lessequals(c_1,X0,tc_nat)
% 169.38/170.68 | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11610_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23168,plain,
% 169.38/170.68 ( ~ c_lessequals(c_1,X0,tc_nat)
% 169.38/170.68 | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4554]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23169,plain,
% 169.38/170.68 ( c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X1,tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23168]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4553,plain,
% 169.38/170.68 ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X0,tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11610_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23166,plain,
% 169.38/170.68 ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X0,tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4553]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23167,plain,
% 169.38/170.68 ( c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X0,tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23166]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4544,plain,
% 169.38/170.68 ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11620_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23148,plain,
% 169.38/170.68 ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4544]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23149,plain,
% 169.38/170.68 ( ~ c_less(c_0,X0,tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat)
% 169.38/170.68 | c_less(c_minus(X1,X0,tc_nat),X1,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23148]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4541,plain,
% 169.38/170.68 ( c_less(c_div(X0,X1,tc_nat),X0,tc_nat)
% 169.38/170.68 | ~ c_less(c_1,X1,tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11621_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23142,plain,
% 169.38/170.68 ( c_less(c_div(X0,X1,tc_nat),X0,tc_nat)
% 169.38/170.68 | ~ c_less(c_1,X1,tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4541]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23143,plain,
% 169.38/170.68 ( ~ c_less(c_1,X0,tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat)
% 169.38/170.68 | c_less(c_div(X1,X0,tc_nat),X1,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23142]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4537,plain,
% 169.38/170.68 ( c_less(X0,c_0,X1)
% 169.38/170.68 | ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Orderings_Olinorder(X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11626_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23134,plain,
% 169.38/170.68 ( c_less(X0,c_0,X1)
% 169.38/170.68 | ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Orderings_Olinorder(X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4537]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23135,plain,
% 169.38/170.68 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.68 | ~ c_less(c_plus(X1,X1,X0),c_0,X0)
% 169.38/170.68 | c_less(X1,c_0,X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23134]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4533,plain,
% 169.38/170.68 ( ~ c_less(c_0,X0,tc_nat)
% 169.38/170.68 | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11628_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23126,plain,
% 169.38/170.68 ( ~ c_less(c_0,X0,tc_nat)
% 169.38/170.68 | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4533]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23127,plain,
% 169.38/170.68 ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23126]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4474,plain,
% 169.38/170.68 ( ~ c_in(X0,X1,X2)
% 169.38/170.68 | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
% 169.38/170.68 | c_in(X0,X3,X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11648_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23008,plain,
% 169.38/170.68 ( ~ c_in(X0,X1,X2)
% 169.38/170.68 | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
% 169.38/170.68 | c_in(X0,X3,X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4474]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_23009,plain,
% 169.38/170.68 ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 169.38/170.68 | ~ c_in(X0,X1,X3)
% 169.38/170.68 | c_in(X0,X2,X3) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_23008]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4467,plain,
% 169.38/170.68 ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 169.38/170.68 | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11650_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22994,plain,
% 169.38/170.68 ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 169.38/170.68 | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4467]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22995,plain,
% 169.38/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber(X0)
% 169.38/170.68 | c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.38/170.68 | ~ c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22994]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4463,plain,
% 169.38/170.68 ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 169.38/170.68 | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11651_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22986,plain,
% 169.38/170.68 ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 169.38/170.68 | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4463]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22987,plain,
% 169.38/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber(X0)
% 169.38/170.68 | c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 169.38/170.68 | ~ c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22986]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4459,plain,
% 169.38/170.68 ( c_less(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 169.38/170.68 | ~ class_Numeral_Onumber(X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11652_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22978,plain,
% 169.38/170.68 ( c_less(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 169.38/170.68 | ~ class_Numeral_Onumber(X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4459]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22979,plain,
% 169.38/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber(X0)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 169.38/170.68 | c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22978]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4455,plain,
% 169.38/170.68 ( c_lessequals(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.38/170.68 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 169.38/170.68 | ~ class_Numeral_Onumber(X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11653_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22970,plain,
% 169.38/170.68 ( c_lessequals(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 169.38/170.68 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 169.38/170.68 | ~ class_Numeral_Onumber(X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4455]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22971,plain,
% 169.38/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber(X0)
% 169.38/170.68 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 169.38/170.68 | c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22970]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4451,plain,
% 169.38/170.68 ( c_less(c_0,X0,X1)
% 169.38/170.68 | ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11654_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22962,plain,
% 169.38/170.68 ( c_less(c_0,X0,X1)
% 169.38/170.68 | ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4451]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22963,plain,
% 169.38/170.68 ( ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 169.38/170.68 | c_less(c_0,X0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22962]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4447,plain,
% 169.38/170.68 ( c_lessequals(c_0,X0,X1)
% 169.38/170.68 | ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11655_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22954,plain,
% 169.38/170.68 ( c_lessequals(c_0,X0,X1)
% 169.38/170.68 | ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4447]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22955,plain,
% 169.38/170.68 ( ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 169.38/170.68 | c_lessequals(c_0,X0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22954]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4443,plain,
% 169.38/170.68 ( c_less(X0,c_0,X1)
% 169.38/170.68 | ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11656_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22946,plain,
% 169.38/170.68 ( c_less(X0,c_0,X1)
% 169.38/170.68 | ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4443]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22947,plain,
% 169.38/170.68 ( ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 169.38/170.68 | c_less(X0,c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22946]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4439,plain,
% 169.38/170.68 ( c_lessequals(X0,c_0,X1)
% 169.38/170.68 | ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11657_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22938,plain,
% 169.38/170.68 ( c_lessequals(X0,c_0,X1)
% 169.38/170.68 | ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4439]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22939,plain,
% 169.38/170.68 ( ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 169.38/170.68 | c_lessequals(X0,c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22938]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4434,plain,
% 169.38/170.68 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11659_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22928,plain,
% 169.38/170.68 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4434]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22929,plain,
% 169.38/170.68 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22928]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4433,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11659_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22926,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4433]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22927,plain,
% 169.38/170.68 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22926]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4429,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11660_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22918,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4429]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22919,plain,
% 169.38/170.68 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22918]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4415,plain,
% 169.38/170.68 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11666_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22890,plain,
% 169.38/170.68 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4415]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22891,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22890]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4396,plain,
% 169.38/170.68 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11673_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22852,plain,
% 169.38/170.68 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4396]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22853,plain,
% 169.38/170.68 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22852]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4375,plain,
% 169.38/170.68 ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11684_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22810,plain,
% 169.38/170.68 ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4375]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22811,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22810]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4370,plain,
% 169.38/170.68 ( c_lessequals(c_1,X0,tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11686_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22800,plain,
% 169.38/170.68 ( c_lessequals(c_1,X0,tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4370]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22801,plain,
% 169.38/170.68 ( ~ c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | c_lessequals(c_1,X1,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22800]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4368,plain,
% 169.38/170.68 ( c_lessequals(c_1,X0,tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11687_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22796,plain,
% 169.38/170.68 ( c_lessequals(c_1,X0,tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4368]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22797,plain,
% 169.38/170.68 ( ~ c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | c_lessequals(c_1,X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22796]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4356,plain,
% 169.38/170.68 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11690_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22772,plain,
% 169.38/170.68 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4356]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22773,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22772]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4350,plain,
% 169.38/170.68 ( c_inter(c_insert(X0,X1,X2),X3,X2) = c_emptyset
% 169.38/170.68 | c_in(X0,X3,X2)
% 169.38/170.68 | c_inter(X1,X3,X2) != c_emptyset ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11692_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22760,plain,
% 169.38/170.68 ( c_inter(c_insert(X0,X1,X2),X3,X2) = c_emptyset
% 169.38/170.68 | c_in(X0,X3,X2)
% 169.38/170.68 | c_inter(X1,X3,X2) != c_emptyset ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4350]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22761,plain,
% 169.38/170.68 ( c_in(X0,X1,X2)
% 169.38/170.68 | c_inter(c_insert(X0,X3,X2),X1,X2) = c_emptyset
% 169.38/170.68 | c_inter(X3,X1,X2) != c_emptyset ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22760]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4344,plain,
% 169.38/170.68 ( c_inter(X0,c_insert(X1,X2,X3),X3) = c_emptyset
% 169.38/170.68 | c_in(X1,X0,X3)
% 169.38/170.68 | c_inter(X0,X2,X3) != c_emptyset ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11694_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22748,plain,
% 169.38/170.68 ( c_inter(X0,c_insert(X1,X2,X3),X3) = c_emptyset
% 169.38/170.68 | c_in(X1,X0,X3)
% 169.38/170.68 | c_inter(X0,X2,X3) != c_emptyset ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4344]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22749,plain,
% 169.38/170.68 ( c_in(X0,X1,X2)
% 169.38/170.68 | c_inter(X1,c_insert(X0,X3,X2),X2) = c_emptyset
% 169.38/170.68 | c_inter(X1,X3,X2) != c_emptyset ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22748]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4335,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X0,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11697_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22730,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X0,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4335]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22731,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22730]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4313,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11707_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22686,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4313]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22687,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22686]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4309,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11708_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22678,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4309]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22679,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22678]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4301,plain,
% 169.38/170.68 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.38/170.68 | 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)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11712_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22662,plain,
% 169.38/170.68 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 169.38/170.68 | 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)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4301]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22663,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 169.38/170.68 | 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) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22662]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4292,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.68 | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 169.38/170.68 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11716_4) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22644,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.68 | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 169.38/170.68 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4292]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22645,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Power_Orecpower(X0)
% 169.38/170.68 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 169.38/170.68 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22644]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4272,plain,
% 169.38/170.68 ( X0 = c_0
% 169.38/170.68 | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.38/170.68 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.68 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11724_4) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22604,plain,
% 169.38/170.68 ( X0 = c_0
% 169.38/170.68 | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.38/170.68 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.68 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4272]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22605,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Power_Orecpower(X0)
% 169.38/170.68 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 169.38/170.68 | X2 = c_0 ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22604]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4269,plain,
% 169.38/170.68 ( c_in(X0,X1,X2)
% 169.38/170.68 | ~ c_in(X0,c_Inter(X3,X2),X2)
% 169.38/170.68 | ~ c_in(X1,X3,tc_set(X2)) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11725_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22598,plain,
% 169.38/170.68 ( c_in(X0,X1,X2)
% 169.38/170.68 | ~ c_in(X0,c_Inter(X3,X2),X2)
% 169.38/170.68 | ~ c_in(X1,X3,tc_set(X2)) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4269]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22599,plain,
% 169.38/170.68 ( ~ c_in(X0,c_Inter(X1,X2),X2)
% 169.38/170.68 | ~ c_in(X3,X1,tc_set(X2))
% 169.38/170.68 | c_in(X0,X3,X2) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22598]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4255,plain,
% 169.38/170.68 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.38/170.68 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.68 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11730_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22570,plain,
% 169.38/170.68 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.38/170.68 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.68 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4255]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22571,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Power_Orecpower(X0)
% 169.38/170.68 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22570]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4231,plain,
% 169.38/170.68 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11736_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22522,plain,
% 169.38/170.68 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4231]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22523,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22522]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4229,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11736_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22518,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4229]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22519,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22518]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4224,plain,
% 169.38/170.68 ( X0 = X1
% 169.38/170.68 | c_Nat_Opower(X2,X0,X3) != c_Nat_Opower(X2,X1,X3)
% 169.38/170.68 | ~ c_less(c_1,X2,X3)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 169.38/170.68 | ~ class_Power_Orecpower(X3) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11737_4) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22508,plain,
% 169.38/170.68 ( X0 = X1
% 169.38/170.68 | c_Nat_Opower(X2,X0,X3) != c_Nat_Opower(X2,X1,X3)
% 169.38/170.68 | ~ c_less(c_1,X2,X3)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 169.38/170.68 | ~ class_Power_Orecpower(X3) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4224]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22509,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.38/170.68 | ~ class_Power_Orecpower(X0)
% 169.38/170.68 | ~ c_less(c_1,X1,X0)
% 169.38/170.68 | c_Nat_Opower(X1,X2,X0) != c_Nat_Opower(X1,X3,X0)
% 169.38/170.68 | X2 = X3 ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22508]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4217,plain,
% 169.38/170.68 ( c_Orderings_Omax(X0,c_Finite__Set_OMin(X1,X2),X2) = X0
% 169.38/170.68 | X1 = c_emptyset
% 169.38/170.68 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.68 | ~ c_in(X0,X1,X2)
% 169.38/170.68 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11739_4) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22494,plain,
% 169.38/170.68 ( c_Orderings_Omax(X0,c_Finite__Set_OMin(X1,X2),X2) = X0
% 169.38/170.68 | X1 = c_emptyset
% 169.38/170.68 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.68 | ~ c_in(X0,X1,X2)
% 169.38/170.68 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4217]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22495,plain,
% 169.38/170.68 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.68 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.68 | ~ c_in(X2,X1,X0)
% 169.38/170.68 | c_Orderings_Omax(X2,c_Finite__Set_OMin(X1,X0),X0) = X2
% 169.38/170.68 | X1 = c_emptyset ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22494]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4212,plain,
% 169.38/170.68 ( c_Orderings_Omin(X0,c_Finite__Set_OMax(X1,X2),X2) = X0
% 169.38/170.68 | X1 = c_emptyset
% 169.38/170.68 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.68 | ~ c_in(X0,X1,X2)
% 169.38/170.68 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11740_4) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22484,plain,
% 169.38/170.68 ( c_Orderings_Omin(X0,c_Finite__Set_OMax(X1,X2),X2) = X0
% 169.38/170.68 | X1 = c_emptyset
% 169.38/170.68 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.68 | ~ c_in(X0,X1,X2)
% 169.38/170.68 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4212]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22485,plain,
% 169.38/170.68 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.68 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.68 | ~ c_in(X2,X1,X0)
% 169.38/170.68 | c_Orderings_Omin(X2,c_Finite__Set_OMax(X1,X0),X0) = X2
% 169.38/170.68 | X1 = c_emptyset ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22484]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4207,plain,
% 169.38/170.68 ( X0 = c_emptyset
% 169.38/170.68 | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 169.38/170.68 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.68 | ~ c_in(X2,X0,X1)
% 169.38/170.68 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11741_4) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22474,plain,
% 169.38/170.68 ( X0 = c_emptyset
% 169.38/170.68 | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 169.38/170.68 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.68 | ~ c_in(X2,X0,X1)
% 169.38/170.68 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4207]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22475,plain,
% 169.38/170.68 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.68 | c_lessequals(c_Finite__Set_OMin(X1,X0),X2,X0)
% 169.38/170.68 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.68 | ~ c_in(X2,X1,X0)
% 169.38/170.68 | X1 = c_emptyset ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22474]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4202,plain,
% 169.38/170.68 ( X0 = c_emptyset
% 169.38/170.68 | c_lessequals(X1,c_Finite__Set_OMax(X0,X2),X2)
% 169.38/170.68 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.68 | ~ c_in(X1,X0,X2)
% 169.38/170.68 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11742_4) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22464,plain,
% 169.38/170.68 ( X0 = c_emptyset
% 169.38/170.68 | c_lessequals(X1,c_Finite__Set_OMax(X0,X2),X2)
% 169.38/170.68 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.68 | ~ c_in(X1,X0,X2)
% 169.38/170.68 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4202]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22465,plain,
% 169.38/170.68 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.68 | c_lessequals(X1,c_Finite__Set_OMax(X2,X0),X0)
% 169.38/170.68 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.68 | ~ c_in(X1,X2,X0)
% 169.38/170.68 | X2 = c_emptyset ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22464]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4198,plain,
% 169.38/170.68 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11744_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22456,plain,
% 169.38/170.68 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4198]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22457,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22456]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4196,plain,
% 169.38/170.68 ( 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)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11745_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22452,plain,
% 169.38/170.68 ( 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)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4196]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22453,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | 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) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22452]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4188,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11748_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22436,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4188]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22437,plain,
% 169.38/170.68 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22436]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4176,plain,
% 169.38/170.68 ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 169.38/170.68 | ~ c_less(X0,c_0,X1)
% 169.38/170.68 | ~ class_Orderings_Olinorder(X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11753_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22412,plain,
% 169.38/170.68 ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 169.38/170.68 | ~ c_less(X0,c_0,X1)
% 169.38/170.68 | ~ class_Orderings_Olinorder(X1)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4176]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22413,plain,
% 169.38/170.68 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.68 | c_less(c_plus(X1,X1,X0),c_0,X0)
% 169.38/170.68 | ~ c_less(X1,c_0,X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22412]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4164,plain,
% 169.38/170.68 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11756_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22388,plain,
% 169.38/170.68 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4164]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22389,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22388]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4160,plain,
% 169.38/170.68 ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 169.38/170.68 | ~ c_less(c_0,X0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11760_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22380,plain,
% 169.38/170.68 ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 169.38/170.68 | ~ c_less(c_0,X0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4160]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22381,plain,
% 169.38/170.68 ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 169.38/170.68 | ~ c_less(c_0,X0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22380]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4156,plain,
% 169.38/170.68 ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 169.38/170.68 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11761_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22372,plain,
% 169.38/170.68 ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 169.38/170.68 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4156]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22373,plain,
% 169.38/170.68 ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 169.38/170.68 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22372]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4152,plain,
% 169.38/170.68 ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 169.38/170.68 | ~ c_less(X0,c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11762_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22364,plain,
% 169.38/170.68 ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 169.38/170.68 | ~ c_less(X0,c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4152]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22365,plain,
% 169.38/170.68 ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 169.38/170.68 | ~ c_less(X0,c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22364]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4148,plain,
% 169.38/170.68 ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 169.38/170.68 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11763_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22356,plain,
% 169.38/170.68 ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 169.38/170.68 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4148]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22357,plain,
% 169.38/170.68 ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 169.38/170.68 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22356]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4128,plain,
% 169.38/170.68 ( 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)
% 169.38/170.68 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11771_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22316,plain,
% 169.38/170.68 ( 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)
% 169.38/170.68 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4128]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22317,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Power_Orecpower(X0)
% 169.38/170.68 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | 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) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22316]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4114,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.68 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11776_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22288,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.68 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4114]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22289,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22288]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4096,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11801_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22252,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4096]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22253,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22252]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4082,plain,
% 169.38/170.68 ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11807_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22224,plain,
% 169.38/170.68 ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4082]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22225,plain,
% 169.38/170.68 ( c_lessequals(c_1,c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22224]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4076,plain,
% 169.38/170.68 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.38/170.68 | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.68 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11809_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22212,plain,
% 169.38/170.68 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 169.38/170.68 | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.68 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4076]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22213,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Power_Orecpower(X0)
% 169.38/170.68 | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 169.38/170.68 | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22212]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4040,plain,
% 169.38/170.68 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11827_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22140,plain,
% 169.38/170.68 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4040]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22141,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22140]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4018,plain,
% 169.38/170.68 ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11836_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22096,plain,
% 169.38/170.68 ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4018]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22097,plain,
% 169.38/170.68 ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X3,X0,X2) | c_in(X3,X1,X2) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22096]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_4017,plain,
% 169.38/170.68 ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11836_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22094,plain,
% 169.38/170.68 ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_4017]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22095,plain,
% 169.38/170.68 ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X3,X1,X2) | ~ c_in(X3,X0,X2) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22094]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3983,plain,
% 169.38/170.68 ( c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11855_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22026,plain,
% 169.38/170.68 ( c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3983]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_22027,plain,
% 169.38/170.68 ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 169.38/170.68 | c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat)
% 169.38/170.68 | ~ c_less(X1,X0,tc_IntDef_Oint) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_22026]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3963,plain,
% 169.38/170.68 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_uminus(c_Nat_Opower(X0,X2,X1),X1)
% 169.38/170.68 | c_Parity_Oeven(X2,tc_nat)
% 169.38/170.68 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11862_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21986,plain,
% 169.38/170.68 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_uminus(c_Nat_Opower(X0,X2,X1),X1)
% 169.38/170.68 | c_Parity_Oeven(X2,tc_nat)
% 169.38/170.68 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3963]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21987,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.68 | ~ class_Power_Orecpower(X0)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.68 | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_uminus(c_Nat_Opower(X2,X1,X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21986]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3947,plain,
% 169.38/170.68 ( X0 = c_0
% 169.38/170.68 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11869_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21954,plain,
% 169.38/170.68 ( X0 = c_0
% 169.38/170.68 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3947]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21955,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Power_Orecpower(X0)
% 169.38/170.68 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0)
% 169.38/170.68 | X1 = c_0 ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21954]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3944,plain,
% 169.38/170.68 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11872_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21948,plain,
% 169.38/170.68 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3944]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21949,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Power_Orecpower(X0)
% 169.38/170.68 | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21948]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3938,plain,
% 169.38/170.68 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.68 | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.38/170.68 | ~ c_List_Odistinct(X1,X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11875_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21936,plain,
% 169.38/170.68 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.68 | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.38/170.68 | ~ c_List_Odistinct(X1,X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3938]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21937,plain,
% 169.38/170.68 ( c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.38/170.68 | ~ c_List_Odistinct(X1,X2)
% 169.38/170.68 | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21936]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3935,plain,
% 169.38/170.68 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11878_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21930,plain,
% 169.38/170.68 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3935]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21931,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Power_Orecpower(X0)
% 169.38/170.68 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),c_0,X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21930]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3934,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11879_0) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21928,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3934]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21929,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21928]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3919,plain,
% 169.38/170.68 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_uminus(c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11888_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21898,plain,
% 169.38/170.68 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_uminus(c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3919]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21899,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.38/170.68 | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21898]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3913,plain,
% 169.38/170.68 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11890_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21886,plain,
% 169.38/170.68 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3913]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21887,plain,
% 169.38/170.68 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21886]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3910,plain,
% 169.38/170.68 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11891_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21880,plain,
% 169.38/170.68 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3910]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21881,plain,
% 169.38/170.68 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X0,tc_nat)
% 169.38/170.68 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21880]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3886,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11900_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21832,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3886]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21833,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21832]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3885,plain,
% 169.38/170.68 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11900_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21830,plain,
% 169.38/170.68 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3885]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21831,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21830]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3883,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11901_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21826,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3883]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21827,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21826]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3882,plain,
% 169.38/170.68 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11901_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21824,plain,
% 169.38/170.68 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3882]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21825,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21824]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3880,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(X0,tc_nat)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11902_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21820,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(X0,tc_nat)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3880]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21821,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X0,tc_nat)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21820]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3879,plain,
% 169.38/170.68 ( c_Parity_Oeven(X0,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11902_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21818,plain,
% 169.38/170.68 ( c_Parity_Oeven(X0,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3879]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21819,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21818]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3877,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(X0,tc_nat)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11903_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21814,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(X0,tc_nat)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3877]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21815,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.38/170.68 | c_Parity_Oeven(X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21814]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3876,plain,
% 169.38/170.68 ( c_Parity_Oeven(X0,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11903_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21812,plain,
% 169.38/170.68 ( c_Parity_Oeven(X0,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3876]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21813,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.68 | c_Parity_Oeven(X0,tc_nat)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21812]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3874,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11904_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21808,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3874]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21809,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21808]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3873,plain,
% 169.38/170.68 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11904_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21806,plain,
% 169.38/170.68 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3873]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21807,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21806]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3871,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11905_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21802,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3871]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21803,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21802]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3870,plain,
% 169.38/170.68 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11905_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21800,plain,
% 169.38/170.68 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3870]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21801,plain,
% 169.38/170.68 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.68 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21800]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3845,plain,
% 169.38/170.68 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.68 | c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2) != c_0
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.68 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11923_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21750,plain,
% 169.38/170.68 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.68 | c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2) != c_0
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.68 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3845]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21751,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Power_Orecpower(X0)
% 169.38/170.68 | c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0) != c_0 ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21750]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3834,plain,
% 169.38/170.68 ( 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)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11935_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21728,plain,
% 169.38/170.68 ( 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)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3834]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21729,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | 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) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21728]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3830,plain,
% 169.38/170.68 ( X0 = c_emptyset
% 169.38/170.68 | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 169.38/170.68 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.68 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11936_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21720,plain,
% 169.38/170.68 ( X0 = c_emptyset
% 169.38/170.68 | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 169.38/170.68 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.68 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3830]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21721,plain,
% 169.38/170.68 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.68 | c_lessequals(c_Finite__Set_OMin(X1,X0),c_Finite__Set_OMax(X1,X0),X0)
% 169.38/170.68 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.68 | X1 = c_emptyset ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21720]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3816,plain,
% 169.38/170.68 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 169.38/170.68 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11942_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21692,plain,
% 169.38/170.68 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 169.38/170.68 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3816]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21693,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Power_Orecpower(X0)
% 169.38/170.68 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.68 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21692]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3786,plain,
% 169.38/170.68 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11954_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21632,plain,
% 169.38/170.68 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3786]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21633,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21632]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3783,plain,
% 169.38/170.68 ( 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)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11955_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21626,plain,
% 169.38/170.68 ( 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)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3783]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21627,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | 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) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21626]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3780,plain,
% 169.38/170.68 ( 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)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11956_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21620,plain,
% 169.38/170.68 ( 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)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3780]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21621,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | 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) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21620]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3758,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X2),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11966_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21576,plain,
% 169.38/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X2),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3758]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21577,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21576]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3748,plain,
% 169.38/170.68 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11971_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21556,plain,
% 169.38/170.68 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3748]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21557,plain,
% 169.38/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.68 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.68 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 169.38/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21556]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3732,plain,
% 169.38/170.68 ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 169.38/170.68 | ~ c_in(X2,X0,X1)
% 169.38/170.68 | X2 = X3
% 169.38/170.68 | ~ c_in(X3,X0,X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11977_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21524,plain,
% 169.38/170.68 ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 169.38/170.68 | ~ c_in(X2,X0,X1)
% 169.38/170.68 | X2 = X3
% 169.38/170.68 | ~ c_in(X3,X0,X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3732]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21525,plain,
% 169.38/170.68 ( ~ c_in(X0,X1,X2)
% 169.38/170.68 | ~ c_in(X3,X1,X2)
% 169.38/170.68 | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 169.38/170.68 | X0 = X3 ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21524]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3730,plain,
% 169.38/170.68 ( X0 = X1
% 169.38/170.68 | ~ c_in(X1,X2,X3)
% 169.38/170.68 | ~ c_in(X0,X2,X3)
% 169.38/170.68 | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11977_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21520,plain,
% 169.38/170.68 ( X0 = X1
% 169.38/170.68 | ~ c_in(X1,X2,X3)
% 169.38/170.68 | ~ c_in(X0,X2,X3)
% 169.38/170.68 | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3730]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21521,plain,
% 169.38/170.68 ( ~ c_in(X0,X1,X2)
% 169.38/170.68 | ~ c_in(X3,X1,X2)
% 169.38/170.68 | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 169.38/170.68 | X3 = X0 ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21520]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3726,plain,
% 169.38/170.68 ( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11980_1) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21512,plain,
% 169.38/170.68 ( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3726]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21513,plain,
% 169.38/170.68 ( ~ c_less(c_0,X0,tc_nat) | c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21512]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3716,plain,
% 169.38/170.68 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11984_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21492,plain,
% 169.38/170.68 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3716]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21493,plain,
% 169.38/170.68 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21492]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3715,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11984_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21490,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3715]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21491,plain,
% 169.38/170.68 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21490]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3711,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11985_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21482,plain,
% 169.38/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3711]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21483,plain,
% 169.38/170.68 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.68 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21482]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3708,plain,
% 169.38/170.68 ( X0 = X1
% 169.38/170.68 | ~ c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.68 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11986_2) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21476,plain,
% 169.38/170.68 ( X0 = X1
% 169.38/170.68 | ~ c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.68 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3708]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21477,plain,
% 169.38/170.68 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.68 | ~ c_lessequals(X1,X0,tc_set(X2))
% 169.38/170.68 | X0 = X1 ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21476]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3698,plain,
% 169.38/170.68 ( c_less(c_0,X0,X1)
% 169.38/170.68 | ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11990_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21456,plain,
% 169.38/170.68 ( c_less(c_0,X0,X1)
% 169.38/170.68 | ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3698]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21457,plain,
% 169.38/170.68 ( ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.68 | c_less(c_0,X0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21456]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3694,plain,
% 169.38/170.68 ( c_lessequals(X0,c_0,X1)
% 169.38/170.68 | ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11991_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21448,plain,
% 169.38/170.68 ( c_lessequals(X0,c_0,X1)
% 169.38/170.68 | ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3694]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21449,plain,
% 169.38/170.68 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.38/170.68 | c_lessequals(X0,c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21448]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3690,plain,
% 169.38/170.68 ( c_lessequals(c_0,X0,X1)
% 169.38/170.68 | ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11992_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21440,plain,
% 169.38/170.68 ( c_lessequals(c_0,X0,X1)
% 169.38/170.68 | ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3690]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21441,plain,
% 169.38/170.68 ( ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.68 | c_lessequals(c_0,X0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.68 inference(rewriting,[status(thm)],[c_21440]) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_3686,plain,
% 169.38/170.68 ( c_less(X0,c_0,X1)
% 169.38/170.68 | ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11993_3) ).
% 169.38/170.68
% 169.38/170.68 cnf(c_21432,plain,
% 169.38/170.68 ( c_less(X0,c_0,X1)
% 169.38/170.68 | ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.68 inference(copy,[status(esa)],[c_3686]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21433,plain,
% 169.38/170.69 ( ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.38/170.69 | c_less(X0,c_0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_21432]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3678,plain,
% 169.38/170.69 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11997_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21416,plain,
% 169.38/170.69 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3678]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21417,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 169.38/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_21416]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3649,plain,
% 169.38/170.69 ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12005_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21358,plain,
% 169.38/170.69 ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3649]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21359,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0)
% 169.38/170.69 | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_21358]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3644,plain,
% 169.38/170.69 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12007_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21348,plain,
% 169.38/170.69 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3644]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21349,plain,
% 169.38/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0)
% 169.38/170.69 | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_21348]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3613,plain,
% 169.38/170.69 ( X0 = c_emptyset
% 169.38/170.69 | c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 169.38/170.69 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.69 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12019_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21286,plain,
% 169.38/170.69 ( X0 = c_emptyset
% 169.38/170.69 | c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 169.38/170.69 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.69 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3613]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21287,plain,
% 169.38/170.69 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.69 | c_in(c_Finite__Set_OMin(X1,X0),X1,X0)
% 169.38/170.69 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.69 | X1 = c_emptyset ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_21286]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3609,plain,
% 169.38/170.69 ( X0 = c_emptyset
% 169.38/170.69 | c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 169.38/170.69 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.69 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12020_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21278,plain,
% 169.38/170.69 ( X0 = c_emptyset
% 169.38/170.69 | c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 169.38/170.69 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.69 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3609]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21279,plain,
% 169.38/170.69 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.69 | c_in(c_Finite__Set_OMax(X1,X0),X1,X0)
% 169.38/170.69 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.69 | X1 = c_emptyset ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_21278]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3561,plain,
% 169.38/170.69 ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.69 | ~ c_less(c_0,X0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12037_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21182,plain,
% 169.38/170.69 ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.69 | ~ c_less(c_0,X0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3561]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21183,plain,
% 169.38/170.69 ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.69 | ~ c_less(c_0,X0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_21182]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3557,plain,
% 169.38/170.69 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.38/170.69 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12038_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21174,plain,
% 169.38/170.69 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.38/170.69 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3557]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21175,plain,
% 169.38/170.69 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.38/170.69 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_21174]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3553,plain,
% 169.38/170.69 ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.69 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12039_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21166,plain,
% 169.38/170.69 ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.69 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3553]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21167,plain,
% 169.38/170.69 ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.69 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_21166]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3549,plain,
% 169.38/170.69 ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.38/170.69 | ~ c_less(X0,c_0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12040_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21158,plain,
% 169.38/170.69 ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.38/170.69 | ~ c_less(X0,c_0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3549]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21159,plain,
% 169.38/170.69 ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 169.38/170.69 | ~ c_less(X0,c_0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_21158]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3524,plain,
% 169.38/170.69 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12055_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21108,plain,
% 169.38/170.69 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3524]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21109,plain,
% 169.38/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_21108]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3522,plain,
% 169.38/170.69 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12055_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21104,plain,
% 169.38/170.69 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3522]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_21105,plain,
% 169.38/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_21104]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3451,plain,
% 169.38/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X2) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12096_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20962,plain,
% 169.38/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X2) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3451]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20963,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20962]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3447,plain,
% 169.38/170.69 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_Nat_Opower(X0,X2,X1)
% 169.38/170.69 | ~ c_Parity_Oeven(X2,tc_nat)
% 169.38/170.69 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 169.38/170.69 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12097_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20954,plain,
% 169.38/170.69 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_Nat_Opower(X0,X2,X1)
% 169.38/170.69 | ~ c_Parity_Oeven(X2,tc_nat)
% 169.38/170.69 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 169.38/170.69 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3447]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20955,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0)
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.38/170.69 | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_Nat_Opower(X2,X1,X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20954]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3415,plain,
% 169.38/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12111_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20890,plain,
% 169.38/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3415]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20891,plain,
% 169.38/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20890]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3411,plain,
% 169.38/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12112_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20882,plain,
% 169.38/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3411]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20883,plain,
% 169.38/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20882]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3397,plain,
% 169.38/170.69 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12120_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20854,plain,
% 169.38/170.69 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3397]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20855,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20854]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3376,plain,
% 169.38/170.69 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12145_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20812,plain,
% 169.38/170.69 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3376]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20813,plain,
% 169.38/170.69 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.69 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20812]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3373,plain,
% 169.38/170.69 ( ~ c_Parity_Oeven(X0,tc_nat)
% 169.38/170.69 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12146_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20806,plain,
% 169.38/170.69 ( ~ c_Parity_Oeven(X0,tc_nat)
% 169.38/170.69 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3373]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20807,plain,
% 169.38/170.69 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.38/170.69 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20806]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3370,plain,
% 169.38/170.69 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12147_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20800,plain,
% 169.38/170.69 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3370]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20801,plain,
% 169.38/170.69 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.69 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20800]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3333,plain,
% 169.38/170.69 ( c_less(c_0,X0,tc_nat)
% 169.38/170.69 | c_Nat_Opower(X1,X0,X2) != c_0
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.69 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12177_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20726,plain,
% 169.38/170.69 ( c_less(c_0,X0,tc_nat)
% 169.38/170.69 | c_Nat_Opower(X1,X0,X2) != c_0
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.69 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3333]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20727,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0)
% 169.38/170.69 | c_less(c_0,X1,tc_nat)
% 169.38/170.69 | c_Nat_Opower(X2,X1,X0) != c_0 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20726]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3329,plain,
% 169.38/170.69 ( c_less(c_1,X0,tc_IntDef_Oint)
% 169.38/170.69 | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12181_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20718,plain,
% 169.38/170.69 ( c_less(c_1,X0,tc_IntDef_Oint)
% 169.38/170.69 | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3329]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20719,plain,
% 169.38/170.69 ( ~ c_less(c_1,c_IntDef_Onat(X0),tc_nat)
% 169.38/170.69 | c_less(c_1,X0,tc_IntDef_Oint) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20718]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3326,plain,
% 169.38/170.69 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB1),X1),X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12182_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20712,plain,
% 169.38/170.69 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB1),X1),X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3326]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20713,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X0),X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20712]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3314,plain,
% 169.38/170.69 ( c_Nat_Opower(c_0,X0,X1) = c_0
% 169.38/170.69 | ~ c_less(c_0,X0,tc_nat)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.69 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12187_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20688,plain,
% 169.38/170.69 ( c_Nat_Opower(c_0,X0,X1) = c_0
% 169.38/170.69 | ~ c_less(c_0,X0,tc_nat)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.69 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3314]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20689,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0)
% 169.38/170.69 | ~ c_less(c_0,X1,tc_nat)
% 169.38/170.69 | c_Nat_Opower(c_0,X1,X0) = c_0 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20688]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3299,plain,
% 169.38/170.69 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 169.38/170.69 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12193_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20658,plain,
% 169.38/170.69 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 169.38/170.69 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3299]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20659,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.69 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 169.38/170.69 | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20658]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3285,plain,
% 169.38/170.69 ( c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 169.38/170.69 | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12203_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20630,plain,
% 169.38/170.69 ( c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 169.38/170.69 | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3285]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20631,plain,
% 169.38/170.69 ( c_less(c_1,c_IntDef_Onat(X0),tc_nat)
% 169.38/170.69 | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20630]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3277,plain,
% 169.38/170.69 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12208_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20614,plain,
% 169.38/170.69 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3277]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20615,plain,
% 169.38/170.69 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20614]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3274,plain,
% 169.38/170.69 ( c_Parity_Oeven(X0,tc_nat)
% 169.38/170.69 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 169.38/170.69 | c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12209_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20608,plain,
% 169.38/170.69 ( c_Parity_Oeven(X0,tc_nat)
% 169.38/170.69 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 169.38/170.69 | c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3274]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20609,plain,
% 169.38/170.69 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.69 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.69 | c_Parity_Oeven(X0,tc_nat) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20608]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3271,plain,
% 169.38/170.69 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12210_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20602,plain,
% 169.38/170.69 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3271]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20603,plain,
% 169.38/170.69 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.69 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20602]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3251,plain,
% 169.38/170.69 ( X0 = c_0
% 169.38/170.69 | c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2) != c_0
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.69 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12218_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20562,plain,
% 169.38/170.69 ( X0 = c_0
% 169.38/170.69 | c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2) != c_0
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.69 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3251]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20563,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0)
% 169.38/170.69 | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 169.38/170.69 | X1 = c_0 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20562]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3247,plain,
% 169.38/170.69 ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12220_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20554,plain,
% 169.38/170.69 ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3247]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20555,plain,
% 169.38/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_1 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20554]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3244,plain,
% 169.38/170.69 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12221_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20548,plain,
% 169.38/170.69 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3244]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20549,plain,
% 169.38/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20548]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3241,plain,
% 169.38/170.69 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12222_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20542,plain,
% 169.38/170.69 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3241]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20543,plain,
% 169.38/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20542]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3206,plain,
% 169.38/170.69 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.38/170.69 | c_Numeral_Onumber__of(X0,X1) != c_0
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12245_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20472,plain,
% 169.38/170.69 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 169.38/170.69 | c_Numeral_Onumber__of(X0,X1) != c_0
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3206]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20473,plain,
% 169.38/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0)
% 169.38/170.69 | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20472]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3157,plain,
% 169.38/170.69 ( c_uminus(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 169.38/170.69 | ~ class_OrderedGroup_Oab__group__add(X1)
% 169.38/170.69 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12276_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20374,plain,
% 169.38/170.69 ( c_uminus(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 169.38/170.69 | ~ class_OrderedGroup_Oab__group__add(X1)
% 169.38/170.69 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3157]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20375,plain,
% 169.38/170.69 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber(X0)
% 169.38/170.69 | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20374]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3127,plain,
% 169.38/170.69 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0)
% 169.38/170.69 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.69 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12293_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20314,plain,
% 169.38/170.69 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0)
% 169.38/170.69 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.69 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3127]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20315,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0)
% 169.38/170.69 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.69 | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20314]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3109,plain,
% 169.38/170.69 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.38/170.69 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12299_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20278,plain,
% 169.38/170.69 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.38/170.69 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3109]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20279,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0)
% 169.38/170.69 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.38/170.69 | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20278]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3056,plain,
% 169.38/170.69 ( X0 = c_0
% 169.38/170.69 | c_Nat_Opower(X0,X1,X2) != c_0
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.69 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12323_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20172,plain,
% 169.38/170.69 ( X0 = c_0
% 169.38/170.69 | c_Nat_Opower(X0,X1,X2) != c_0
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 169.38/170.69 | ~ class_Power_Orecpower(X2) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3056]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20173,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Power_Orecpower(X0)
% 169.38/170.69 | c_Nat_Opower(X1,X2,X0) != c_0
% 169.38/170.69 | X1 = c_0 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20172]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3039,plain,
% 169.38/170.69 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = X2
% 169.38/170.69 | c_uminus(X2,X1) != c_Numeral_Onumber__of(X0,X1)
% 169.38/170.69 | ~ class_OrderedGroup_Oab__group__add(X1)
% 169.38/170.69 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12330_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20138,plain,
% 169.38/170.69 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = X2
% 169.38/170.69 | c_uminus(X2,X1) != c_Numeral_Onumber__of(X0,X1)
% 169.38/170.69 | ~ class_OrderedGroup_Oab__group__add(X1)
% 169.38/170.69 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3039]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20139,plain,
% 169.38/170.69 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber(X0)
% 169.38/170.69 | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = X2
% 169.38/170.69 | c_uminus(X2,X0) != c_Numeral_Onumber__of(X1,X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20138]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_3035,plain,
% 169.38/170.69 ( X0 = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
% 169.38/170.69 | c_Numeral_Onumber__of(X1,X2) != c_uminus(X0,X2)
% 169.38/170.69 | ~ class_OrderedGroup_Oab__group__add(X2)
% 169.38/170.69 | ~ class_Numeral_Onumber(X2) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12331_3) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20130,plain,
% 169.38/170.69 ( X0 = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
% 169.38/170.69 | c_Numeral_Onumber__of(X1,X2) != c_uminus(X0,X2)
% 169.38/170.69 | ~ class_OrderedGroup_Oab__group__add(X2)
% 169.38/170.69 | ~ class_Numeral_Onumber(X2) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_3035]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20131,plain,
% 169.38/170.69 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber(X0)
% 169.38/170.69 | c_Numeral_Onumber__of(X1,X0) != c_uminus(X2,X0)
% 169.38/170.69 | X2 = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20130]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_2970,plain,
% 169.38/170.69 ( X0 = c_Suc(c_0) | ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12362_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20000,plain,
% 169.38/170.69 ( X0 = c_Suc(c_0) | ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_2970]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_20001,plain,
% 169.38/170.69 ( ~ c_Divides_Oop_Advd(X0,c_1,tc_nat) | X0 = c_1 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_20000]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_2943,plain,
% 169.38/170.69 ( X0 = c_1 | c_times(X1,X0,tc_nat) != c_Suc(c_0) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12374_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19946,plain,
% 169.38/170.69 ( X0 = c_1 | c_times(X1,X0,tc_nat) != c_Suc(c_0) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_2943]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19947,plain,
% 169.38/170.69 ( c_times(X0,X1,tc_nat) != c_1 | X1 = c_1 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_19946]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_2941,plain,
% 169.38/170.69 ( X0 = c_1 | c_times(X0,X1,tc_nat) != c_Suc(c_0) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12375_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19942,plain,
% 169.38/170.69 ( X0 = c_1 | c_times(X0,X1,tc_nat) != c_Suc(c_0) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_2941]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19943,plain,
% 169.38/170.69 ( c_times(X0,X1,tc_nat) != c_1 | X0 = c_1 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_19942]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_2848,plain,
% 169.38/170.69 ( X0 = c_0
% 169.38/170.69 | c_lessequals(X0,X1,tc_nat)
% 169.38/170.69 | c_List_Oupt(X1,X0) != c_List_Olist_ONil ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12442_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19756,plain,
% 169.38/170.69 ( X0 = c_0
% 169.38/170.69 | c_lessequals(X0,X1,tc_nat)
% 169.38/170.69 | c_List_Oupt(X1,X0) != c_List_Olist_ONil ),
% 169.38/170.69 inference(copy,[status(esa)],[c_2848]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19757,plain,
% 169.38/170.69 ( c_lessequals(X0,X1,tc_nat)
% 169.38/170.69 | c_List_Oupt(X1,X0) != c_List_Olist_ONil
% 169.38/170.69 | X0 = c_0 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_19756]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_2837,plain,
% 169.38/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12449_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19734,plain,
% 169.38/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_2837]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19735,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_19734]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_2677,plain,
% 169.38/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12623_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19414,plain,
% 169.38/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_2677]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19415,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_19414]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_2671,plain,
% 169.38/170.69 ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12625_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19402,plain,
% 169.38/170.69 ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1
% 169.38/170.69 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_2671]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19403,plain,
% 169.38/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.69 | ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.69 | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_19402]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_2645,plain,
% 169.38/170.69 ( ~ class_Finite__Set_Ofinite(X0)
% 169.38/170.69 | class_Finite__Set_Ofinite(tc_sum(X1,X0))
% 169.38/170.69 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12646_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19350,plain,
% 169.38/170.69 ( ~ class_Finite__Set_Ofinite(X0)
% 169.38/170.69 | class_Finite__Set_Ofinite(tc_sum(X1,X0))
% 169.38/170.69 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_2645]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19351,plain,
% 169.38/170.69 ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 169.38/170.69 | ~ class_Finite__Set_Ofinite(X1)
% 169.38/170.69 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_19350]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_2642,plain,
% 169.38/170.69 ( ~ class_Finite__Set_Ofinite(X0)
% 169.38/170.69 | class_Finite__Set_Ofinite(tc_prod(X1,X0))
% 169.38/170.69 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12647_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19344,plain,
% 169.38/170.69 ( ~ class_Finite__Set_Ofinite(X0)
% 169.38/170.69 | class_Finite__Set_Ofinite(tc_prod(X1,X0))
% 169.38/170.69 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_2642]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19345,plain,
% 169.38/170.69 ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 169.38/170.69 | ~ class_Finite__Set_Ofinite(X1)
% 169.38/170.69 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_19344]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_2639,plain,
% 169.38/170.69 ( ~ class_Finite__Set_Ofinite(X0)
% 169.38/170.69 | class_Finite__Set_Ofinite(tc_fun(X1,X0))
% 169.38/170.69 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12648_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19338,plain,
% 169.38/170.69 ( ~ class_Finite__Set_Ofinite(X0)
% 169.38/170.69 | class_Finite__Set_Ofinite(tc_fun(X1,X0))
% 169.38/170.69 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_2639]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_19339,plain,
% 169.38/170.69 ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 169.38/170.69 | ~ class_Finite__Set_Ofinite(X1)
% 169.38/170.69 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_19338]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_652,plain,
% 169.38/170.69 ( ~ c_in(X0,c_Message_Oparts(c_emptyset),tc_Message_Omsg) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12380_0) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_15364,plain,
% 169.38/170.69 ( ~ c_in(X0,c_Message_Oparts(c_emptyset),tc_Message_Omsg) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_652]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_15365,plain,
% 169.38/170.69 ( ~ c_in(X0,c_emptyset,tc_Message_Omsg) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_15364]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_326,plain,
% 169.38/170.69 ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12514_0) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_14967,plain,
% 169.38/170.69 ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_326]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_14968,plain,
% 169.38/170.69 ( c_Divides_Oop_Advd(c_1,c_1,tc_nat) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_14967]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_316,plain,
% 169.38/170.69 ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12531_0) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_14950,plain,
% 169.38/170.69 ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_316]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_14951,plain,
% 169.38/170.69 ( c_Divides_Oop_Advd(c_1,X0,tc_nat) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_14950]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_312,plain,
% 169.38/170.69 ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12538_0) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_14944,plain,
% 169.38/170.69 ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_312]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_14945,plain,
% 169.38/170.69 ( c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_14944]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6048,plain,
% 169.38/170.69 ( 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))
% 169.38/170.69 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11128_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26156,plain,
% 169.38/170.69 ( 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))
% 169.38/170.69 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6048]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6046,plain,
% 169.38/170.69 ( 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))
% 169.38/170.69 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11129_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26152,plain,
% 169.38/170.69 ( 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))
% 169.38/170.69 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6046]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6044,plain,
% 169.38/170.69 ( 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
% 169.38/170.69 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11130_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26148,plain,
% 169.38/170.69 ( 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
% 169.38/170.69 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6044]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26149,plain,
% 169.38/170.69 ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 169.38/170.69 | 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 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_26148]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6042,plain,
% 169.38/170.69 ( 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
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11131_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26144,plain,
% 169.38/170.69 ( 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
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6042]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26145,plain,
% 169.38/170.69 ( ~ 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))))
% 169.38/170.69 | 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 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_26144]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6040,plain,
% 169.38/170.69 ( 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))))
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11132_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26140,plain,
% 169.38/170.69 ( 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))))
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6040]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6038,plain,
% 169.38/170.69 ( 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))))
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11133_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26136,plain,
% 169.38/170.69 ( 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))))
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6038]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6027,plain,
% 169.38/170.69 ( 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)))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11137_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26114,plain,
% 169.38/170.69 ( 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)))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6027]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6025,plain,
% 169.38/170.69 ( 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)))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11138_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26110,plain,
% 169.38/170.69 ( 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)))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6025]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26111,plain,
% 169.38/170.69 ( ~ 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)))
% 169.38/170.69 | 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))) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_26110]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6022,plain,
% 169.38/170.69 ( 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))))
% 169.38/170.69 | ~ 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))))
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11139_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26104,plain,
% 169.38/170.69 ( 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))))
% 169.38/170.69 | ~ 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))))
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6022]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6020,plain,
% 169.38/170.69 ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11140_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26100,plain,
% 169.38/170.69 ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6020]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6018,plain,
% 169.38/170.69 ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,X2,X0,X3,X4),X4,X4),X1,tc_prod(X4,X4))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11141_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26096,plain,
% 169.38/170.69 ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,X2,X0,X3,X4),X4,X4),X1,tc_prod(X4,X4))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6018]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26097,plain,
% 169.38/170.69 ( ~ 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)))
% 169.38/170.69 | c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),X2,X2),X4,tc_prod(X2,X2)) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_26096]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6015,plain,
% 169.38/170.69 ( 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
% 169.38/170.69 | 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
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11142_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26090,plain,
% 169.38/170.69 ( 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
% 169.38/170.69 | 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
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6015]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26091,plain,
% 169.38/170.69 ( ~ 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))))
% 169.38/170.69 | 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
% 169.38/170.69 | 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 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_26090]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6013,plain,
% 169.38/170.69 ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 169.38/170.69 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11143_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26086,plain,
% 169.38/170.69 ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 169.38/170.69 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6013]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6011,plain,
% 169.38/170.69 ( 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
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11144_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26082,plain,
% 169.38/170.69 ( 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
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6011]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26083,plain,
% 169.38/170.69 ( ~ 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)))
% 169.38/170.69 | 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 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_26082]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6009,plain,
% 169.38/170.69 ( 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
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11145_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26078,plain,
% 169.38/170.69 ( 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
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6009]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26079,plain,
% 169.38/170.69 ( ~ 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)))
% 169.38/170.69 | 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 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_26078]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6007,plain,
% 169.38/170.69 ( 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
% 169.38/170.69 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11146_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26074,plain,
% 169.38/170.69 ( 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
% 169.38/170.69 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6007]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26075,plain,
% 169.38/170.69 ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 169.38/170.69 | 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 ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_26074]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6004,plain,
% 169.38/170.69 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 169.38/170.69 | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 169.38/170.69 | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11147_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26068,plain,
% 169.38/170.69 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 169.38/170.69 | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 169.38/170.69 | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6004]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_6002,plain,
% 169.38/170.69 ( c_plus(X0,X1,tc_nat) = c_plus(X2,X3,tc_nat)
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11148_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26064,plain,
% 169.38/170.69 ( c_plus(X0,X1,tc_nat) = c_plus(X2,X3,tc_nat)
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_6002]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26065,plain,
% 169.38/170.69 ( ~ 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)))
% 169.38/170.69 | c_plus(X0,X3,tc_nat) = c_plus(X2,X1,tc_nat) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_26064]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5996,plain,
% 169.38/170.69 ( 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))
% 169.38/170.69 | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11150_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26052,plain,
% 169.38/170.69 ( 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))
% 169.38/170.69 | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5996]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26053,plain,
% 169.38/170.69 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | 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)) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_26052]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5991,plain,
% 169.38/170.69 ( 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))))
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11152_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26042,plain,
% 169.38/170.69 ( 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))))
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5991]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5989,plain,
% 169.38/170.69 ( 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))))
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11153_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26038,plain,
% 169.38/170.69 ( 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))))
% 169.38/170.69 | ~ 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)))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5989]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5984,plain,
% 169.38/170.69 ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 169.38/170.69 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11155_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26028,plain,
% 169.38/170.69 ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 169.38/170.69 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5984]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5982,plain,
% 169.38/170.69 ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 169.38/170.69 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11156_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26024,plain,
% 169.38/170.69 ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 169.38/170.69 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5982]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5979,plain,
% 169.38/170.69 ( 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)
% 169.38/170.69 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.69 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11157_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26018,plain,
% 169.38/170.69 ( 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)
% 169.38/170.69 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.69 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5979]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26019,plain,
% 169.38/170.69 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.69 | 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) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_26018]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5973,plain,
% 169.38/170.69 ( 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)
% 169.38/170.69 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.69 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11159_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26006,plain,
% 169.38/170.69 ( 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)
% 169.38/170.69 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.69 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5973]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_26007,plain,
% 169.38/170.69 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.69 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.69 | 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) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_26006]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5968,plain,
% 169.38/170.69 ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 169.38/170.69 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11161_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25996,plain,
% 169.38/170.69 ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 169.38/170.69 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5968]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5966,plain,
% 169.38/170.69 ( 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)
% 169.38/170.69 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11162_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25992,plain,
% 169.38/170.69 ( 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)
% 169.38/170.69 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5966]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25993,plain,
% 169.38/170.69 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.69 | 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) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_25992]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5964,plain,
% 169.38/170.69 ( 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)
% 169.38/170.69 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11163_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25988,plain,
% 169.38/170.69 ( 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)
% 169.38/170.69 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5964]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25989,plain,
% 169.38/170.69 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.69 | 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) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_25988]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5961,plain,
% 169.38/170.69 ( 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)))
% 169.38/170.69 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11164_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25982,plain,
% 169.38/170.69 ( 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)))
% 169.38/170.69 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5961]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25983,plain,
% 169.38/170.69 ( ~ 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)))
% 169.38/170.69 | 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)))
% 169.38/170.69 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_25982]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5958,plain,
% 169.38/170.69 ( 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)))
% 169.38/170.69 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11165_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25976,plain,
% 169.38/170.69 ( 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)))
% 169.38/170.69 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5958]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25977,plain,
% 169.38/170.69 ( ~ 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)))
% 169.38/170.69 | 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)))
% 169.38/170.69 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_25976]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5956,plain,
% 169.38/170.69 ( 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)))
% 169.38/170.69 | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11167_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25972,plain,
% 169.38/170.69 ( 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)))
% 169.38/170.69 | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5956]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5954,plain,
% 169.38/170.69 ( 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))
% 169.38/170.69 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11168_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25968,plain,
% 169.38/170.69 ( 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))
% 169.38/170.69 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5954]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5952,plain,
% 169.38/170.69 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.38/170.69 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11169_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25964,plain,
% 169.38/170.69 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.38/170.69 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5952]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25965,plain,
% 169.38/170.69 ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.38/170.69 | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_25964]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5950,plain,
% 169.38/170.69 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.38/170.69 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11170_1) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25960,plain,
% 169.38/170.69 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.38/170.69 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5950]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5947,plain,
% 169.38/170.69 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.38/170.69 | 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)))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11171_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25954,plain,
% 169.38/170.69 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.38/170.69 | 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)))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 inference(copy,[status(esa)],[c_5947]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25955,plain,
% 169.38/170.69 ( ~ 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)))
% 169.38/170.69 | 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)))
% 169.38/170.69 | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 169.38/170.69 inference(rewriting,[status(thm)],[c_25954]) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_5944,plain,
% 169.38/170.69 ( X0 = X1
% 169.38/170.69 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.69 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11172_2) ).
% 169.38/170.69
% 169.38/170.69 cnf(c_25948,plain,
% 169.38/170.69 ( X0 = X1
% 169.38/170.69 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 169.38/170.69 | ~ 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))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5944]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25949,plain,
% 169.38/170.70 ( ~ 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)))
% 169.38/170.70 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 169.38/170.70 | X0 = X3 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25948]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5941,plain,
% 169.38/170.70 ( X0 = X1
% 169.38/170.70 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11173_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25942,plain,
% 169.38/170.70 ( X0 = X1
% 169.38/170.70 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5941]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25943,plain,
% 169.38/170.70 ( ~ 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)))
% 169.38/170.70 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 169.38/170.70 | X0 = X3 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25942]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5930,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11177_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25920,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5930]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5928,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11178_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25916,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5928]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5926,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | 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)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11179_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25912,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | 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)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5926]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5923,plain,
% 169.38/170.70 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.38/170.70 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1
% 169.38/170.70 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11180_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25906,plain,
% 169.38/170.70 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.38/170.70 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1
% 169.38/170.70 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5923]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25907,plain,
% 169.38/170.70 ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 169.38/170.70 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0
% 169.38/170.70 | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25906]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5918,plain,
% 169.38/170.70 ( 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))
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11182_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25896,plain,
% 169.38/170.70 ( 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))
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5918]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25897,plain,
% 169.38/170.70 ( ~ 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)))
% 169.38/170.70 | 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)) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25896]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5915,plain,
% 169.38/170.70 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.38/170.70 | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1
% 169.38/170.70 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11183_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25890,plain,
% 169.38/170.70 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 169.38/170.70 | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1
% 169.38/170.70 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5915]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25891,plain,
% 169.38/170.70 ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 169.38/170.70 | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0
% 169.38/170.70 | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25890]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5904,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11188_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25868,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5904]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5902,plain,
% 169.38/170.70 ( c_Wellfounded__Recursion_Owf(X0,X1)
% 169.38/170.70 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11189_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25864,plain,
% 169.38/170.70 ( c_Wellfounded__Recursion_Owf(X0,X1)
% 169.38/170.70 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5902]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25865,plain,
% 169.38/170.70 ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.38/170.70 | c_Wellfounded__Recursion_Owf(X3,X2) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25864]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5900,plain,
% 169.38/170.70 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 169.38/170.70 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11190_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25860,plain,
% 169.38/170.70 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 169.38/170.70 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5900]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25861,plain,
% 169.38/170.70 ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.38/170.70 | c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25860]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5898,plain,
% 169.38/170.70 ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 169.38/170.70 | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11191_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25856,plain,
% 169.38/170.70 ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 169.38/170.70 | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5898]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5896,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 169.38/170.70 | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11192_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25852,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 169.38/170.70 | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5896]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5890,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.38/170.70 | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.38/170.70 | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11194_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25840,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.38/170.70 | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 169.38/170.70 | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5890]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5888,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.38/170.70 | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11195_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25836,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.38/170.70 | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5888]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5885,plain,
% 169.38/170.70 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.38/170.70 | X3 = X4
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11196_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25830,plain,
% 169.38/170.70 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.38/170.70 | X3 = X4
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5885]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25831,plain,
% 169.38/170.70 ( ~ 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)))
% 169.38/170.70 | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2))
% 169.38/170.70 | X0 = X3 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25830]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5883,plain,
% 169.38/170.70 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11197_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25826,plain,
% 169.38/170.70 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5883]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25827,plain,
% 169.38/170.70 ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 169.38/170.70 | c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25826]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5881,plain,
% 169.38/170.70 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11198_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25822,plain,
% 169.38/170.70 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5881]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25823,plain,
% 169.38/170.70 ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 169.38/170.70 | c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25822]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5879,plain,
% 169.38/170.70 ( c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 169.38/170.70 | ~ c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11199_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25818,plain,
% 169.38/170.70 ( c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 169.38/170.70 | ~ c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5879]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25819,plain,
% 169.38/170.70 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.38/170.70 | c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25818]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5877,plain,
% 169.38/170.70 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 169.38/170.70 | 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)
% 169.38/170.70 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11200_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25814,plain,
% 169.38/170.70 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 169.38/170.70 | 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)
% 169.38/170.70 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5877]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25815,plain,
% 169.38/170.70 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 169.38/170.70 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25814]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5874,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.38/170.70 | ~ c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11201_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25808,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.38/170.70 | ~ c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5874]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25809,plain,
% 169.38/170.70 ( ~ c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 169.38/170.70 | c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25808]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5872,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 169.38/170.70 | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11204_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25804,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 169.38/170.70 | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5872]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5863,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.70 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11207_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25786,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.70 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5863]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25787,plain,
% 169.38/170.70 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.70 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25786]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5857,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.70 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11209_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25774,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.70 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5857]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25775,plain,
% 169.38/170.70 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.70 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25774]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5855,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.38/170.70 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11211_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25770,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 169.38/170.70 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5855]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5850,plain,
% 169.38/170.70 ( c_Pair(c_Main_OconverseE__2(X0,X1,X2,X3),c_Main_OconverseE__1(X0,X1,X2,X3),X3,X2) = X1
% 169.38/170.70 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11213_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25760,plain,
% 169.38/170.70 ( c_Pair(c_Main_OconverseE__2(X0,X1,X2,X3),c_Main_OconverseE__1(X0,X1,X2,X3),X3,X2) = X1
% 169.38/170.70 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5850]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25761,plain,
% 169.38/170.70 ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 169.38/170.70 | c_Pair(c_Main_OconverseE__2(X1,X0,X2,X3),c_Main_OconverseE__1(X1,X0,X2,X3),X3,X2) = X0 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25760]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5848,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 169.38/170.70 | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11215_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25756,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 169.38/170.70 | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5848]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5845,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.38/170.70 | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11216_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25750,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 169.38/170.70 | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5845]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5839,plain,
% 169.38/170.70 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 169.38/170.70 | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) != c_Datatype_Ooption_ONone
% 169.38/170.70 | ~ c_in(X4,c_List_Oset(X0,X1),X1) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11218_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25738,plain,
% 169.38/170.70 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 169.38/170.70 | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) != c_Datatype_Ooption_ONone
% 169.38/170.70 | ~ c_in(X4,c_List_Oset(X0,X1),X1) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5839]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25739,plain,
% 169.38/170.70 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.70 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 169.38/170.70 | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) != c_Datatype_Ooption_ONone ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25738]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5837,plain,
% 169.38/170.70 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.38/170.70 | 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))
% 169.38/170.70 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11219_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25734,plain,
% 169.38/170.70 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.38/170.70 | 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))
% 169.38/170.70 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5837]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25735,plain,
% 169.38/170.70 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.38/170.70 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 169.38/170.70 | 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)) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25734]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5834,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11220_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25728,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5834]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25729,plain,
% 169.38/170.70 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25728]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5832,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11221_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25724,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5832]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25725,plain,
% 169.38/170.70 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25724]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5829,plain,
% 169.38/170.70 ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 169.38/170.70 | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11225_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25718,plain,
% 169.38/170.70 ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 169.38/170.70 | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5829]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5827,plain,
% 169.38/170.70 ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X1,X4,X3) = c_List_Olist__update(X0,X1,X4,X3)
% 169.38/170.70 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11230_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25714,plain,
% 169.38/170.70 ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X1,X4,X3) = c_List_Olist__update(X0,X1,X4,X3)
% 169.38/170.70 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5827]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25715,plain,
% 169.38/170.70 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.38/170.70 | c_List_Olist__update(c_List_Olist__update(X1,X0,X3,X2),X0,X4,X2) = c_List_Olist__update(X1,X0,X4,X2) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25714]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5825,plain,
% 169.38/170.70 ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11231_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25710,plain,
% 169.38/170.70 ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5825]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25711,plain,
% 169.38/170.70 ( ~ 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)))
% 169.38/170.70 | c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25710]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5822,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.70 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11232_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25704,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.70 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5822]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25705,plain,
% 169.38/170.70 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.70 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25704]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5820,plain,
% 169.38/170.70 ( c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 169.38/170.70 | ~ c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11233_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25700,plain,
% 169.38/170.70 ( c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 169.38/170.70 | ~ c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5820]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25701,plain,
% 169.38/170.70 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.38/170.70 | c_in(X1,c_Relation_ORange(X4,X2,X3),X3) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25700]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5818,plain,
% 169.38/170.70 ( c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 169.38/170.70 | ~ c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11234_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25696,plain,
% 169.38/170.70 ( c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 169.38/170.70 | ~ c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5818]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25697,plain,
% 169.38/170.70 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 169.38/170.70 | c_in(X0,c_Relation_ODomain(X4,X2,X3),X2) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25696]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5788,plain,
% 169.38/170.70 ( X0 = c_List_Olist_ONil
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11241_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25636,plain,
% 169.38/170.70 ( X0 = c_List_Olist_ONil
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5788]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25637,plain,
% 169.38/170.70 ( ~ 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)))
% 169.38/170.70 | X0 = c_List_Olist_ONil ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25636]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5786,plain,
% 169.38/170.70 ( X0 = c_List_Olist_ONil
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11242_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25632,plain,
% 169.38/170.70 ( X0 = c_List_Olist_ONil
% 169.38/170.70 | ~ 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))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5786]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25633,plain,
% 169.38/170.70 ( ~ 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)))
% 169.38/170.70 | X0 = c_List_Olist_ONil ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25632]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5750,plain,
% 169.38/170.70 ( c_less(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11252_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25560,plain,
% 169.38/170.70 ( c_less(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5750]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5748,plain,
% 169.38/170.70 ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 169.38/170.70 | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11255_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25556,plain,
% 169.38/170.70 ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 169.38/170.70 | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5748]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25557,plain,
% 169.38/170.70 ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 169.38/170.70 | ~ c_in(c_Pair(X2,X2,X1,X1),X0,tc_prod(X1,X1)) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25556]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5746,plain,
% 169.38/170.70 ( 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
% 169.38/170.70 | ~ 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) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11256_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25552,plain,
% 169.38/170.70 ( 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
% 169.38/170.70 | ~ 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) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5746]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25553,plain,
% 169.38/170.70 ( ~ 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)
% 169.38/170.70 | 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 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25552]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5744,plain,
% 169.38/170.70 ( X0 = X1 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11257_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25548,plain,
% 169.38/170.70 ( X0 = X1 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5744]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25549,plain,
% 169.38/170.70 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) | X0 = X1 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25548]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5742,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11259_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25544,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5742]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5740,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11260_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25540,plain,
% 169.38/170.70 ( 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)))
% 169.38/170.70 | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5740]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5735,plain,
% 169.38/170.70 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.70 | ~ c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11263_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25530,plain,
% 169.38/170.70 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.70 | ~ c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5735]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25531,plain,
% 169.38/170.70 ( ~ c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 169.38/170.70 | c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25530]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5733,plain,
% 169.38/170.70 ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11266_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25526,plain,
% 169.38/170.70 ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5733]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25527,plain,
% 169.38/170.70 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25526]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5731,plain,
% 169.38/170.70 ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11267_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25522,plain,
% 169.38/170.70 ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5731]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25523,plain,
% 169.38/170.70 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25522]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5729,plain,
% 169.38/170.70 ( X0 = X1
% 169.38/170.70 | c_Datatype__Universe_OScons(X2,X0,X3,X4) != c_Datatype__Universe_OScons(X5,X1,X3,X4) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11268_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25518,plain,
% 169.38/170.70 ( X0 = X1
% 169.38/170.70 | c_Datatype__Universe_OScons(X2,X0,X3,X4) != c_Datatype__Universe_OScons(X5,X1,X3,X4) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5729]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25519,plain,
% 169.38/170.70 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 169.38/170.70 | X1 = X5 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25518]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5727,plain,
% 169.38/170.70 ( X0 = X1
% 169.38/170.70 | c_Datatype__Universe_OScons(X0,X2,X3,X4) != c_Datatype__Universe_OScons(X1,X5,X3,X4) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11269_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25514,plain,
% 169.38/170.70 ( X0 = X1
% 169.38/170.70 | c_Datatype__Universe_OScons(X0,X2,X3,X4) != c_Datatype__Universe_OScons(X1,X5,X3,X4) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5727]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25515,plain,
% 169.38/170.70 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 169.38/170.70 | X0 = X4 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25514]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5629,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | 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 ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11286_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25318,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | 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 ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5629]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5627,plain,
% 169.38/170.70 ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 169.38/170.70 | ~ c_in(X0,X4,X1) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11288_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25314,plain,
% 169.38/170.70 ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 169.38/170.70 | ~ c_in(X0,X4,X1) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5627]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5625,plain,
% 169.38/170.70 ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 169.38/170.70 | ~ c_in(X0,X3,X1) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11289_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25310,plain,
% 169.38/170.70 ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 169.38/170.70 | ~ c_in(X0,X3,X1) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5625]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5519,plain,
% 169.38/170.70 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 169.38/170.70 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11310_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25098,plain,
% 169.38/170.70 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 169.38/170.70 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5519]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25099,plain,
% 169.38/170.70 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.38/170.70 | c_List_Onth(c_List_Olist__update(X1,X0,X3,X2),X0,X2) = X3 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25098]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5517,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 169.38/170.70 | ~ c_in(X0,X2,X1) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11311_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25094,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 169.38/170.70 | ~ c_in(X0,X2,X1) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5517]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5515,plain,
% 169.38/170.70 ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 169.38/170.70 | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11312_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25090,plain,
% 169.38/170.70 ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 169.38/170.70 | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5515]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5513,plain,
% 169.38/170.70 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.70 | 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) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11313_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25086,plain,
% 169.38/170.70 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5513]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5511,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 169.38/170.70 | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11314_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25082,plain,
% 169.38/170.70 ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 169.38/170.70 | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5511]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25083,plain,
% 169.38/170.70 ( ~ c_less(X0,X1,tc_nat)
% 169.38/170.70 | c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25082]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5509,plain,
% 169.38/170.70 ( 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
% 169.38/170.70 | 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 ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11315_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25078,plain,
% 169.38/170.70 ( 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
% 169.38/170.70 | 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 ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5509]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5507,plain,
% 169.38/170.70 ( c_Pair(c_Main_OdiagE__1(X0,X1,X2),c_Main_OdiagE__1(X0,X1,X2),X2,X2) = X1
% 169.38/170.70 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11316_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25074,plain,
% 169.38/170.70 ( c_Pair(c_Main_OdiagE__1(X0,X1,X2),c_Main_OdiagE__1(X0,X1,X2),X2,X2) = X1
% 169.38/170.70 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5507]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25075,plain,
% 169.38/170.70 ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 169.38/170.70 | c_Pair(c_Main_OdiagE__1(X1,X0,X2),c_Main_OdiagE__1(X1,X0,X2),X2,X2) = X0 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25074]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5505,plain,
% 169.38/170.70 ( c_List_Onth(c_List_Odrop(X0,X1,X2),X3,X2) = c_List_Onth(X1,c_plus(X0,X3,tc_nat),X2)
% 169.38/170.70 | ~ c_lessequals(c_plus(X0,X3,tc_nat),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11317_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25070,plain,
% 169.38/170.70 ( c_List_Onth(c_List_Odrop(X0,X1,X2),X3,X2) = c_List_Onth(X1,c_plus(X0,X3,tc_nat),X2)
% 169.38/170.70 | ~ c_lessequals(c_plus(X0,X3,tc_nat),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5505]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25071,plain,
% 169.38/170.70 ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 169.38/170.70 | c_List_Onth(c_List_Odrop(X0,X2,X3),X1,X3) = c_List_Onth(X2,c_plus(X0,X1,tc_nat),X3) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25070]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5501,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11320_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25062,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5501]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25063,plain,
% 169.38/170.70 ( ~ c_less(c_0,X0,tc_nat)
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25062]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5499,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_less(c_0,X2,tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11321_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25058,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_less(c_0,X2,tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5499]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25059,plain,
% 169.38/170.70 ( ~ c_less(c_0,X0,tc_nat)
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_25058]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5496,plain,
% 169.38/170.70 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 169.38/170.70 | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 169.38/170.70 | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11325_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25052,plain,
% 169.38/170.70 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 169.38/170.70 | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 169.38/170.70 | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5496]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5493,plain,
% 169.38/170.70 ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 169.38/170.70 | ~ c_Relation_Otrans(X0,X2)
% 169.38/170.70 | ~ c_Relation_Otrans(X1,X3) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11326_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_25046,plain,
% 169.38/170.70 ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 169.38/170.70 | ~ c_Relation_Otrans(X0,X2)
% 169.38/170.70 | ~ c_Relation_Otrans(X1,X3) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5493]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5373,plain,
% 169.38/170.70 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.70 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.38/170.70 | c_lessequals(X2,X4,X0)
% 169.38/170.70 | c_lessequals(X2,X1,X0) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11352_0) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24806,plain,
% 169.38/170.70 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.70 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.38/170.70 | c_lessequals(X2,X4,X0)
% 169.38/170.70 | c_lessequals(X2,X1,X0) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5373]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5370,plain,
% 169.38/170.70 ( c_lessequals(X0,X1,X2)
% 169.38/170.70 | c_lessequals(X0,X3,X2)
% 169.38/170.70 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X4,X3,X2),tc_set(X2))
% 169.38/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11352_3) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24800,plain,
% 169.38/170.70 ( c_lessequals(X0,X1,X2)
% 169.38/170.70 | c_lessequals(X0,X3,X2)
% 169.38/170.70 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X4,X3,X2),tc_set(X2))
% 169.38/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5370]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24801,plain,
% 169.38/170.70 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.70 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.38/170.70 | c_lessequals(X2,X1,X0)
% 169.38/170.70 | c_lessequals(X2,X4,X0) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24800]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5369,plain,
% 169.38/170.70 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.70 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.38/170.70 | c_lessequals(X3,X1,X0)
% 169.38/170.70 | c_lessequals(X2,X1,X0) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11353_0) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24798,plain,
% 169.38/170.70 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.70 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.38/170.70 | c_lessequals(X3,X1,X0)
% 169.38/170.70 | c_lessequals(X2,X1,X0) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5369]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5366,plain,
% 169.38/170.70 ( c_lessequals(X0,X1,X2)
% 169.38/170.70 | c_lessequals(X3,X1,X2)
% 169.38/170.70 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 169.38/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11353_3) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24792,plain,
% 169.38/170.70 ( c_lessequals(X0,X1,X2)
% 169.38/170.70 | c_lessequals(X3,X1,X2)
% 169.38/170.70 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 169.38/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5366]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24793,plain,
% 169.38/170.70 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.70 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.38/170.70 | c_lessequals(X2,X1,X0)
% 169.38/170.70 | c_lessequals(X3,X1,X0) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24792]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5338,plain,
% 169.38/170.70 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.70 | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11364_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24736,plain,
% 169.38/170.70 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.70 | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5338]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24737,plain,
% 169.38/170.70 ( ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X2,X3),X3),X3)
% 169.38/170.70 | c_in(X0,c_List_Oset(X1,X3),X3) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24736]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5336,plain,
% 169.38/170.70 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.70 | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X3,X1,X2),X2),X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11365_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24732,plain,
% 169.38/170.70 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.70 | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X3,X1,X2),X2),X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5336]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24733,plain,
% 169.38/170.70 ( ~ c_in(X0,c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),X3)
% 169.38/170.70 | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24732]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5306,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11373_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24672,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5306]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24673,plain,
% 169.38/170.70 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24672]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5304,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11374_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24668,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5304]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24669,plain,
% 169.38/170.70 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24668]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5302,plain,
% 169.38/170.70 ( X0 = X1
% 169.38/170.70 | 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) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11375_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24664,plain,
% 169.38/170.70 ( X0 = X1
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5302]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24665,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | X1 = X4 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24664]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5300,plain,
% 169.38/170.70 ( X0 = X1
% 169.38/170.70 | 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) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11376_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24660,plain,
% 169.38/170.70 ( X0 = X1
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5300]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24661,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | X0 = X3 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24660]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5298,plain,
% 169.38/170.70 ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 169.38/170.70 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11377_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24656,plain,
% 169.38/170.70 ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 169.38/170.70 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5298]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24657,plain,
% 169.38/170.70 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.38/170.70 | c_List_Olist__update(X1,X0,c_List_Onth(X1,X0,X2),X2) = X1 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24656]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5295,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | X1 = c_Numeral_Obit_OB0
% 169.38/170.70 | c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11380_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24650,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | X1 = c_Numeral_Obit_OB0
% 169.38/170.70 | c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5295]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24651,plain,
% 169.38/170.70 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.70 | 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)
% 169.38/170.70 | X2 = c_Numeral_Obit_OB0 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24650]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5244,plain,
% 169.38/170.70 ( c_less(X0,X1,X2)
% 169.38/170.70 | ~ c_less(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 169.38/170.70 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11392_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24548,plain,
% 169.38/170.70 ( c_less(X0,X1,X2)
% 169.38/170.70 | ~ c_less(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 169.38/170.70 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5244]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24549,plain,
% 169.38/170.70 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.38/170.70 | ~ c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 169.38/170.70 | c_less(X1,X3,X0) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24548]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5241,plain,
% 169.38/170.70 ( c_less(X0,X1,X2)
% 169.38/170.70 | ~ c_less(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 169.38/170.70 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11393_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24542,plain,
% 169.38/170.70 ( c_less(X0,X1,X2)
% 169.38/170.70 | ~ c_less(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 169.38/170.70 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5241]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24543,plain,
% 169.38/170.70 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.38/170.70 | ~ c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 169.38/170.70 | c_less(X2,X3,X0) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24542]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5238,plain,
% 169.38/170.70 ( c_lessequals(X0,X1,X2)
% 169.38/170.70 | ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 169.38/170.70 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11394_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24536,plain,
% 169.38/170.70 ( c_lessequals(X0,X1,X2)
% 169.38/170.70 | ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 169.38/170.70 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5238]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24537,plain,
% 169.38/170.70 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.38/170.70 | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 169.38/170.70 | c_lessequals(X1,X3,X0) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24536]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5235,plain,
% 169.38/170.70 ( c_lessequals(X0,X1,X2)
% 169.38/170.70 | ~ c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 169.38/170.70 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11395_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24530,plain,
% 169.38/170.70 ( c_lessequals(X0,X1,X2)
% 169.38/170.70 | ~ c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 169.38/170.70 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5235]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24531,plain,
% 169.38/170.70 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.38/170.70 | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 169.38/170.70 | c_lessequals(X2,X3,X0) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24530]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5204,plain,
% 169.38/170.70 ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.38/170.70 | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.38/170.70 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11406_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24468,plain,
% 169.38/170.70 ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.38/170.70 | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.38/170.70 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5204]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5202,plain,
% 169.38/170.70 ( c_less(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11407_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24464,plain,
% 169.38/170.70 ( c_less(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5202]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24465,plain,
% 169.38/170.70 ( ~ c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 169.38/170.70 | c_less(X1,X2,tc_nat) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24464]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5200,plain,
% 169.38/170.70 ( c_lessequals(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11408_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24460,plain,
% 169.38/170.70 ( c_lessequals(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5200]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24461,plain,
% 169.38/170.70 ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 169.38/170.70 | c_lessequals(X1,X2,tc_nat) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24460]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5198,plain,
% 169.38/170.70 ( c_less(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11409_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24456,plain,
% 169.38/170.70 ( c_less(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5198]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24457,plain,
% 169.38/170.70 ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.38/170.70 | c_less(X0,X2,tc_nat) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24456]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5196,plain,
% 169.38/170.70 ( c_less(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11410_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24452,plain,
% 169.38/170.70 ( c_less(X0,X1,tc_nat)
% 169.38/170.70 | ~ c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5196]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24453,plain,
% 169.38/170.70 ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.38/170.70 | c_less(X1,X2,tc_nat) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24452]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5194,plain,
% 169.38/170.70 ( c_less(c_0,X0,tc_nat)
% 169.38/170.70 | ~ c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11413_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24448,plain,
% 169.38/170.70 ( c_less(c_0,X0,tc_nat)
% 169.38/170.70 | ~ c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5194]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5192,plain,
% 169.38/170.70 ( c_less(c_0,X0,tc_nat)
% 169.38/170.70 | ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11414_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24444,plain,
% 169.38/170.70 ( c_less(c_0,X0,tc_nat)
% 169.38/170.70 | ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5192]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5164,plain,
% 169.38/170.70 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 169.38/170.70 | ~ c_lessequals(X3,X0,X2)
% 169.38/170.70 | ~ c_lessequals(X1,X4,X2)
% 169.38/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11420_3) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24388,plain,
% 169.38/170.70 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 169.38/170.70 | ~ c_lessequals(X3,X0,X2)
% 169.38/170.70 | ~ c_lessequals(X1,X4,X2)
% 169.38/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5164]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24389,plain,
% 169.38/170.70 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.70 | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.38/170.70 | ~ c_lessequals(X3,X1,X0)
% 169.38/170.70 | ~ c_lessequals(X2,X4,X0) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24388]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5161,plain,
% 169.38/170.70 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 169.38/170.70 | ~ 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)
% 169.38/170.70 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11421_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24382,plain,
% 169.38/170.70 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 169.38/170.70 | ~ 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)
% 169.38/170.70 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5161]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24383,plain,
% 169.38/170.70 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.70 | ~ 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)
% 169.38/170.70 | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24382]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5159,plain,
% 169.38/170.70 ( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 169.38/170.70 | ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11422_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24378,plain,
% 169.38/170.70 ( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 169.38/170.70 | ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5159]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24379,plain,
% 169.38/170.70 ( ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 169.38/170.70 | c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24378]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5147,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_in(X0,c_List_Oset(X3,X2),X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11425_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24354,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_in(X0,c_List_Oset(X3,X2),X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5147]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24355,plain,
% 169.38/170.70 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24354]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5141,plain,
% 169.38/170.70 ( c_List_Otake(X0,c_List_Oupt(X1,X2),tc_nat) = c_List_Oupt(X1,c_plus(X1,X0,tc_nat))
% 169.38/170.70 | ~ c_lessequals(c_plus(X1,X0,tc_nat),X2,tc_nat) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11427_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24342,plain,
% 169.38/170.70 ( c_List_Otake(X0,c_List_Oupt(X1,X2),tc_nat) = c_List_Oupt(X1,c_plus(X1,X0,tc_nat))
% 169.38/170.70 | ~ c_lessequals(c_plus(X1,X0,tc_nat),X2,tc_nat) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5141]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24343,plain,
% 169.38/170.70 ( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 169.38/170.70 | c_List_Otake(X1,c_List_Oupt(X0,X2),tc_nat) = c_List_Oupt(X0,c_plus(X0,X1,tc_nat)) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24342]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5049,plain,
% 169.38/170.70 ( c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0
% 169.38/170.70 | ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1)) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11450_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24158,plain,
% 169.38/170.70 ( c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0
% 169.38/170.70 | ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1)) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5049]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24159,plain,
% 169.38/170.70 ( ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1))
% 169.38/170.70 | c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0 ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24158]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5046,plain,
% 169.38/170.70 ( c_minus(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X0,X3,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X3,X1,X2)
% 169.38/170.70 | ~ c_lessequals(X0,X3,X2)
% 169.38/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11451_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24152,plain,
% 169.38/170.70 ( c_minus(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X0,X3,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X3,X1,X2)
% 169.38/170.70 | ~ c_lessequals(X0,X3,X2)
% 169.38/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5046]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24153,plain,
% 169.38/170.70 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.70 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.70 | c_minus(c_SetInterval_OatLeastLessThan(X1,X3,X0),c_SetInterval_OatLeastLessThan(X1,X2,X0),tc_set(X0)) = c_SetInterval_OatLeastLessThan(X2,X3,X0) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24152]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5043,plain,
% 169.38/170.70 ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.38/170.70 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.38/170.70 | ~ c_in(X0,X3,X2) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11455_2) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24146,plain,
% 169.38/170.70 ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.38/170.70 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.38/170.70 | ~ c_in(X0,X3,X2) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5043]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_5037,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11461_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24134,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_5037]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24135,plain,
% 169.38/170.70 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24134]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_4995,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11470_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24050,plain,
% 169.38/170.70 ( 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)
% 169.38/170.70 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.70 inference(copy,[status(esa)],[c_4995]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24051,plain,
% 169.38/170.70 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.70 | 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) ),
% 169.38/170.70 inference(rewriting,[status(thm)],[c_24050]) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_4993,plain,
% 169.38/170.70 ( 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
% 169.38/170.70 | 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 ),
% 169.38/170.70 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11471_1) ).
% 169.38/170.70
% 169.38/170.70 cnf(c_24046,plain,
% 169.38/170.70 ( 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
% 169.38/170.71 | 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 ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4993]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4982,plain,
% 169.38/170.71 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.71 | 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) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11474_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_24024,plain,
% 169.38/170.71 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.71 | 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) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4982]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4980,plain,
% 169.38/170.71 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.71 | 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) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11475_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_24020,plain,
% 169.38/170.71 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.71 | 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) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4980]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4953,plain,
% 169.38/170.71 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_minus(X0,c_minus(X2,X1,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11481_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23966,plain,
% 169.38/170.71 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_minus(X0,c_minus(X2,X1,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4953]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23967,plain,
% 169.38/170.71 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.38/170.71 | c_minus(c_plus(X2,X0,tc_nat),X1,tc_nat) = c_minus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23966]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4951,plain,
% 169.38/170.71 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(X0,c_minus(X1,X2,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_lessequals(X2,X1,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11482_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23962,plain,
% 169.38/170.71 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(X0,c_minus(X1,X2,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_lessequals(X2,X1,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4951]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23963,plain,
% 169.38/170.71 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.38/170.71 | c_minus(c_plus(X2,X1,tc_nat),X0,tc_nat) = c_plus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23962]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4949,plain,
% 169.38/170.71 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(c_minus(X0,X2,tc_nat),X1,tc_nat)
% 169.38/170.71 | ~ c_lessequals(X2,X0,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11483_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23958,plain,
% 169.38/170.71 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(c_minus(X0,X2,tc_nat),X1,tc_nat)
% 169.38/170.71 | ~ c_lessequals(X2,X0,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4949]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23959,plain,
% 169.38/170.71 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.38/170.71 | c_minus(c_plus(X1,X2,tc_nat),X0,tc_nat) = c_plus(c_minus(X1,X0,tc_nat),X2,tc_nat) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23958]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4942,plain,
% 169.38/170.71 ( c_div(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat) = c_div(X0,X2,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11486_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23944,plain,
% 169.38/170.71 ( c_div(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat) = c_div(X0,X2,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4942]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23945,plain,
% 169.38/170.71 ( ~ c_less(c_0,X0,tc_nat)
% 169.38/170.71 | c_div(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23944]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4940,plain,
% 169.38/170.71 ( c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11487_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23940,plain,
% 169.38/170.71 ( c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4940]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23941,plain,
% 169.38/170.71 ( ~ c_less(c_0,X0,tc_nat)
% 169.38/170.71 | c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23940]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4934,plain,
% 169.38/170.71 ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 169.38/170.71 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11489_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23928,plain,
% 169.38/170.71 ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 169.38/170.71 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4934]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4927,plain,
% 169.38/170.71 ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 169.38/170.71 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11491_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23914,plain,
% 169.38/170.71 ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 169.38/170.71 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4927]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23915,plain,
% 169.38/170.71 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 169.38/170.71 | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23914]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4921,plain,
% 169.38/170.71 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.38/170.71 | ~ c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11493_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23902,plain,
% 169.38/170.71 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.38/170.71 | ~ c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4921]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23903,plain,
% 169.38/170.71 ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.38/170.71 | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23902]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4919,plain,
% 169.38/170.71 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.38/170.71 | ~ c_in(c_append(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11494_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23898,plain,
% 169.38/170.71 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.38/170.71 | ~ c_in(c_append(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4919]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23899,plain,
% 169.38/170.71 ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.38/170.71 | c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23898]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4917,plain,
% 169.38/170.71 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.38/170.71 | ~ c_in(c_List_Olist_OCons(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11495_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23894,plain,
% 169.38/170.71 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.38/170.71 | ~ c_in(c_List_Olist_OCons(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4917]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23895,plain,
% 169.38/170.71 ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.38/170.71 | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23894]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4915,plain,
% 169.38/170.71 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.71 | 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 ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11496_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23890,plain,
% 169.38/170.71 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.71 | 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 ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4915]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4912,plain,
% 169.38/170.71 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.71 | c_less(c_0,X1,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11497_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23884,plain,
% 169.38/170.71 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.71 | c_less(c_0,X1,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4912]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23885,plain,
% 169.38/170.71 ( ~ c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 169.38/170.71 | c_less(c_0,X0,tc_nat)
% 169.38/170.71 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23884]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4910,plain,
% 169.38/170.71 ( c_List_Onth(c_List_Oupt(X0,X1),X2,tc_nat) = c_plus(X0,X2,tc_nat)
% 169.38/170.71 | ~ c_less(c_plus(X0,X2,tc_nat),X1,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11498_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23880,plain,
% 169.38/170.71 ( c_List_Onth(c_List_Oupt(X0,X1),X2,tc_nat) = c_plus(X0,X2,tc_nat)
% 169.38/170.71 | ~ c_less(c_plus(X0,X2,tc_nat),X1,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4910]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23881,plain,
% 169.38/170.71 ( ~ c_less(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 169.38/170.71 | c_List_Onth(c_List_Oupt(X0,X2),X1,tc_nat) = c_plus(X0,X1,tc_nat) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23880]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4908,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11499_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23876,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4908]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23877,plain,
% 169.38/170.71 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.71 | 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) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23876]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4906,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11500_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23872,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4906]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23873,plain,
% 169.38/170.71 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.71 | 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) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23872]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4880,plain,
% 169.38/170.71 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.71 | 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)
% 169.38/170.71 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11506_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23820,plain,
% 169.38/170.71 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.71 | 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)
% 169.38/170.71 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4880]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23821,plain,
% 169.38/170.71 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.71 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.71 | 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) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23820]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4872,plain,
% 169.38/170.71 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11508_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23804,plain,
% 169.38/170.71 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4872]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23805,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 169.38/170.71 | ~ c_lessequals(X2,X1,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23804]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4867,plain,
% 169.38/170.71 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.38/170.71 | ~ c_less(X0,c_0,X1)
% 169.38/170.71 | ~ c_less(X2,c_0,X1)
% 169.38/170.71 | ~ c_less(X2,X0,X1)
% 169.38/170.71 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11509_4) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23794,plain,
% 169.38/170.71 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.38/170.71 | ~ c_less(X0,c_0,X1)
% 169.38/170.71 | ~ c_less(X2,c_0,X1)
% 169.38/170.71 | ~ c_less(X2,X0,X1)
% 169.38/170.71 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4867]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4857,plain,
% 169.38/170.71 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.38/170.71 | ~ c_lessequals(X2,X0,X1)
% 169.38/170.71 | ~ c_less(X0,c_0,X1)
% 169.38/170.71 | ~ c_less(X2,c_0,X1)
% 169.38/170.71 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11511_4) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23774,plain,
% 169.38/170.71 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.38/170.71 | ~ c_lessequals(X2,X0,X1)
% 169.38/170.71 | ~ c_less(X0,c_0,X1)
% 169.38/170.71 | ~ c_less(X2,c_0,X1)
% 169.38/170.71 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4857]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4852,plain,
% 169.38/170.71 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.38/170.71 | ~ c_lessequals(X2,X0,X1)
% 169.38/170.71 | ~ c_less(c_0,X0,X1)
% 169.38/170.71 | ~ c_less(c_0,X2,X1)
% 169.38/170.71 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11512_4) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23764,plain,
% 169.38/170.71 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 169.38/170.71 | ~ c_lessequals(X2,X0,X1)
% 169.38/170.71 | ~ c_less(c_0,X0,X1)
% 169.38/170.71 | ~ c_less(c_0,X2,X1)
% 169.38/170.71 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4852]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4850,plain,
% 169.38/170.71 ( c_insert(X0,X1,X2) = c_insert(X0,c_emptyset,X2)
% 169.38/170.71 | ~ c_lessequals(X1,c_insert(X0,c_emptyset,X2),tc_set(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11513_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23760,plain,
% 169.38/170.71 ( c_insert(X0,X1,X2) = c_insert(X0,c_emptyset,X2)
% 169.38/170.71 | ~ c_lessequals(X1,c_insert(X0,c_emptyset,X2),tc_set(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4850]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23761,plain,
% 169.38/170.71 ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 169.38/170.71 | c_insert(X1,X0,X2) = c_insert(X1,c_emptyset,X2) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23760]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4848,plain,
% 169.38/170.71 ( c_insert(X0,c_emptyset,X1) = c_insert(X0,X2,X1)
% 169.38/170.71 | ~ c_lessequals(X2,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11514_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23756,plain,
% 169.38/170.71 ( c_insert(X0,c_emptyset,X1) = c_insert(X0,X2,X1)
% 169.38/170.71 | ~ c_lessequals(X2,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4848]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23757,plain,
% 169.38/170.71 ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 169.38/170.71 | c_insert(X1,c_emptyset,X2) = c_insert(X1,X0,X2) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23756]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4843,plain,
% 169.38/170.71 ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11516_0) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23746,plain,
% 169.38/170.71 ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4843]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4841,plain,
% 169.38/170.71 ( c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_in(X0,c_union(X1,X3,X2),X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11516_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23742,plain,
% 169.38/170.71 ( c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_in(X0,c_union(X1,X3,X2),X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4841]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23743,plain,
% 169.38/170.71 ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X1,X3) | c_in(X0,X2,X3) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23742]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4838,plain,
% 169.38/170.71 ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 169.38/170.71 | ~ c_less(X0,X3,X2)
% 169.38/170.71 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11517_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23736,plain,
% 169.38/170.71 ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 169.38/170.71 | ~ c_less(X0,X3,X2)
% 169.38/170.71 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4838]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23737,plain,
% 169.38/170.71 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.38/170.71 | c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 169.38/170.71 | ~ c_less(X1,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23736]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4835,plain,
% 169.38/170.71 ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 169.38/170.71 | ~ c_less(X1,X3,X2)
% 169.38/170.71 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11518_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23730,plain,
% 169.38/170.71 ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 169.38/170.71 | ~ c_less(X1,X3,X2)
% 169.38/170.71 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4835]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23731,plain,
% 169.38/170.71 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.38/170.71 | c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 169.38/170.71 | ~ c_less(X2,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23730]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4832,plain,
% 169.38/170.71 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 169.38/170.71 | ~ c_lessequals(X0,X3,X2)
% 169.38/170.71 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11519_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23724,plain,
% 169.38/170.71 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 169.38/170.71 | ~ c_lessequals(X0,X3,X2)
% 169.38/170.71 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4832]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23725,plain,
% 169.38/170.71 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.38/170.71 | c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 169.38/170.71 | ~ c_lessequals(X1,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23724]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4829,plain,
% 169.38/170.71 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 169.38/170.71 | ~ c_lessequals(X1,X3,X2)
% 169.38/170.71 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11520_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23718,plain,
% 169.38/170.71 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 169.38/170.71 | ~ c_lessequals(X1,X3,X2)
% 169.38/170.71 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4829]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23719,plain,
% 169.38/170.71 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.38/170.71 | c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 169.38/170.71 | ~ c_lessequals(X2,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23718]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4826,plain,
% 169.38/170.71 ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(X0,X3,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11521_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23712,plain,
% 169.38/170.71 ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(X0,X3,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4826]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4823,plain,
% 169.38/170.71 ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 169.38/170.71 | ~ c_lessequals(X0,X1,tc_set(X3))
% 169.38/170.71 | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11522_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23706,plain,
% 169.38/170.71 ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 169.38/170.71 | ~ c_lessequals(X0,X1,tc_set(X3))
% 169.38/170.71 | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4823]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4821,plain,
% 169.38/170.71 ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11523_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23702,plain,
% 169.38/170.71 ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4821]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4819,plain,
% 169.38/170.71 ( c_in(X0,X1,X2)
% 169.38/170.71 | ~ c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11524_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23698,plain,
% 169.38/170.71 ( c_in(X0,X1,X2)
% 169.38/170.71 | ~ c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4819]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23699,plain,
% 169.38/170.71 ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 169.38/170.71 | c_in(X0,X3,X2) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23698]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4812,plain,
% 169.38/170.71 ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.71 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.71 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11528_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23684,plain,
% 169.38/170.71 ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.71 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.71 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4812]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4803,plain,
% 169.38/170.71 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.71 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11530_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23666,plain,
% 169.38/170.71 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.71 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4803]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4800,plain,
% 169.38/170.71 ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(X1,X3,tc_set(X2))
% 169.38/170.71 | ~ c_in(X0,X3,X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11531_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23660,plain,
% 169.38/170.71 ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(X1,X3,tc_set(X2))
% 169.38/170.71 | ~ c_in(X0,X3,X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4800]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4797,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | ~ class_Power_Orecpower(X1)
% 169.38/170.71 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11532_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23654,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | ~ class_Power_Orecpower(X1)
% 169.38/170.71 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4797]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23655,plain,
% 169.38/170.71 ( ~ class_Numeral_Onumber(X0)
% 169.38/170.71 | ~ class_Power_Orecpower(X0)
% 169.38/170.71 | 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) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23654]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4796,plain,
% 169.38/170.71 ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.71 | c_less(c_0,X1,tc_nat)
% 169.38/170.71 | c_less(c_0,X0,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11533_0) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23652,plain,
% 169.38/170.71 ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.71 | c_less(c_0,X1,tc_nat)
% 169.38/170.71 | c_less(c_0,X0,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4796]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4794,plain,
% 169.38/170.71 ( c_less(c_0,X0,tc_nat)
% 169.38/170.71 | c_less(c_0,X1,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11533_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23648,plain,
% 169.38/170.71 ( c_less(c_0,X0,tc_nat)
% 169.38/170.71 | c_less(c_0,X1,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4794]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23649,plain,
% 169.38/170.71 ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.71 | c_less(c_0,X0,tc_nat)
% 169.38/170.71 | c_less(c_0,X1,tc_nat) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23648]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4752,plain,
% 169.38/170.71 ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_less(X1,X2,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11542_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23564,plain,
% 169.38/170.71 ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_less(X1,X2,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4752]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4750,plain,
% 169.38/170.71 ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11543_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23560,plain,
% 169.38/170.71 ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4750]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4748,plain,
% 169.38/170.71 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_lessequals(X0,X2,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11544_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23556,plain,
% 169.38/170.71 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_lessequals(X0,X2,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4748]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4746,plain,
% 169.38/170.71 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11545_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23552,plain,
% 169.38/170.71 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4746]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4724,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | ~ c_less(X1,X2,X0)
% 169.38/170.71 | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0)
% 169.38/170.71 | ~ c_less(X3,X1,X0) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11550_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23508,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | ~ c_less(X1,X2,X0)
% 169.38/170.71 | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0)
% 169.38/170.71 | ~ c_less(X3,X1,X0) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4724]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23509,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | ~ c_less(X1,X2,X0)
% 169.38/170.71 | ~ c_less(X3,X1,X0)
% 169.38/170.71 | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23508]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4712,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.71 | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0)
% 169.38/170.71 | ~ c_lessequals(X3,X1,X0) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11553_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23484,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.71 | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0)
% 169.38/170.71 | ~ c_lessequals(X3,X1,X0) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4712]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23485,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.71 | ~ c_lessequals(X3,X1,X0)
% 169.38/170.71 | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23484]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4706,plain,
% 169.38/170.71 ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 169.38/170.71 | ~ c_lessequals(X0,X3,X2)
% 169.38/170.71 | ~ c_lessequals(X1,X3,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11554_3) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23472,plain,
% 169.38/170.71 ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 169.38/170.71 | ~ c_lessequals(X0,X3,X2)
% 169.38/170.71 | ~ c_lessequals(X1,X3,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4706]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23473,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.38/170.71 | ~ c_lessequals(X1,X3,X0)
% 169.38/170.71 | ~ c_lessequals(X2,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23472]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4702,plain,
% 169.38/170.71 ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 169.38/170.71 | ~ c_lessequals(X0,X1,X3)
% 169.38/170.71 | ~ c_lessequals(X0,X2,X3)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X3) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11555_3) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23464,plain,
% 169.38/170.71 ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 169.38/170.71 | ~ c_lessequals(X0,X1,X3)
% 169.38/170.71 | ~ c_lessequals(X0,X2,X3)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X3) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4702]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23465,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.38/170.71 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.71 | ~ c_lessequals(X1,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23464]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4698,plain,
% 169.38/170.71 ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 169.38/170.71 | ~ c_less(X0,X1,X3)
% 169.38/170.71 | ~ c_less(X0,X2,X3)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X3) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11556_3) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23456,plain,
% 169.38/170.71 ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 169.38/170.71 | ~ c_less(X0,X1,X3)
% 169.38/170.71 | ~ c_less(X0,X2,X3)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X3) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4698]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23457,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.38/170.71 | ~ c_less(X1,X2,X0)
% 169.38/170.71 | ~ c_less(X1,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23456]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4694,plain,
% 169.38/170.71 ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 169.38/170.71 | ~ c_less(X0,X3,X2)
% 169.38/170.71 | ~ c_less(X1,X3,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11557_3) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23448,plain,
% 169.38/170.71 ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 169.38/170.71 | ~ c_less(X0,X3,X2)
% 169.38/170.71 | ~ c_less(X1,X3,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4694]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23449,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.38/170.71 | ~ c_less(X1,X3,X0)
% 169.38/170.71 | ~ c_less(X2,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23448]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4692,plain,
% 169.38/170.71 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.38/170.71 | ~ c_in(c_Main_Oin__listsI__1(X1,X0,X2),X1,X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11558_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23444,plain,
% 169.38/170.71 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.38/170.71 | ~ c_in(c_Main_Oin__listsI__1(X1,X0,X2),X1,X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4692]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23445,plain,
% 169.38/170.71 ( ~ c_in(c_Main_Oin__listsI__1(X0,X1,X2),X0,X2)
% 169.38/170.71 | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23444]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4688,plain,
% 169.38/170.71 ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset | ~ c_in(X0,X3,X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11560_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23436,plain,
% 169.38/170.71 ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset | ~ c_in(X0,X3,X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4688]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23437,plain,
% 169.38/170.71 ( ~ c_in(X0,X1,X2) | c_inter(c_insert(X0,X3,X2),X1,X2) != c_emptyset ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23436]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4684,plain,
% 169.38/170.71 ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset | ~ c_in(X1,X0,X3) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11562_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23428,plain,
% 169.38/170.71 ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset | ~ c_in(X1,X0,X3) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4684]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23429,plain,
% 169.38/170.71 ( ~ c_in(X0,X1,X2) | c_inter(X1,c_insert(X0,X3,X2),X2) != c_emptyset ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23428]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4661,plain,
% 169.38/170.71 ( c_divide(c_times(X0,X1,X2),c_times(X3,X1,X2),X2) = c_divide(X0,X3,X2)
% 169.38/170.71 | X1 = c_0
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11567_3) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23382,plain,
% 169.38/170.71 ( c_divide(c_times(X0,X1,X2),c_times(X3,X1,X2),X2) = c_divide(X0,X3,X2)
% 169.38/170.71 | X1 = c_0
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4661]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23383,plain,
% 169.38/170.71 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.71 | c_divide(c_times(X1,X2,X0),c_times(X3,X2,X0),X0) = c_divide(X1,X3,X0)
% 169.38/170.71 | X2 = c_0 ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23382]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4657,plain,
% 169.38/170.71 ( c_divide(c_times(X0,X1,X2),c_times(X0,X3,X2),X2) = c_divide(X1,X3,X2)
% 169.38/170.71 | X0 = c_0
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11568_3) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23374,plain,
% 169.38/170.71 ( c_divide(c_times(X0,X1,X2),c_times(X0,X3,X2),X2) = c_divide(X1,X3,X2)
% 169.38/170.71 | X0 = c_0
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4657]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23375,plain,
% 169.38/170.71 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.71 | c_divide(c_times(X1,X2,X0),c_times(X1,X3,X0),X0) = c_divide(X2,X3,X0)
% 169.38/170.71 | X1 = c_0 ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23374]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4655,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11569_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23370,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4655]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23371,plain,
% 169.38/170.71 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.38/170.71 | 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) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23370]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4652,plain,
% 169.38/170.71 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_divide(X0,c_divide(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11570_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23364,plain,
% 169.38/170.71 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_divide(X0,c_divide(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4652]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23365,plain,
% 169.38/170.71 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.71 | c_divide(c_times(X1,X2,X0),X3,X0) = c_divide(X1,c_divide(X3,X2,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23364]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4649,plain,
% 169.38/170.71 ( c_divide(c_divide(X0,X1,X2),X3,X2) = c_divide(X0,c_times(X1,X3,X2),X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11571_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23358,plain,
% 169.38/170.71 ( c_divide(c_divide(X0,X1,X2),X3,X2) = c_divide(X0,c_times(X1,X3,X2),X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4649]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23359,plain,
% 169.38/170.71 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.71 | c_divide(c_divide(X1,X2,X0),X3,X0) = c_divide(X1,c_times(X2,X3,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23358]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4645,plain,
% 169.38/170.71 ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 169.38/170.71 | ~ c_in(X0,c_IntDef_ONats,X2)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_ONats,X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11572_3) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23350,plain,
% 169.38/170.71 ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 169.38/170.71 | ~ c_in(X0,c_IntDef_ONats,X2)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_ONats,X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4645]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23351,plain,
% 169.38/170.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.38/170.71 | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_ONats,X0)
% 169.38/170.71 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23350]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4641,plain,
% 169.38/170.71 ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 169.38/170.71 | ~ c_in(X0,c_IntDef_ONats,X2)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_ONats,X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11573_3) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23342,plain,
% 169.38/170.71 ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 169.38/170.71 | ~ c_in(X0,c_IntDef_ONats,X2)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_ONats,X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4641]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23343,plain,
% 169.38/170.71 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.38/170.71 | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_ONats,X0)
% 169.38/170.71 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23342]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4637,plain,
% 169.38/170.71 ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 169.38/170.71 | ~ c_in(X0,c_IntDef_OInts,X2)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_OInts,X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11574_3) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23334,plain,
% 169.38/170.71 ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 169.38/170.71 | ~ c_in(X0,c_IntDef_OInts,X2)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_OInts,X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4637]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23335,plain,
% 169.38/170.71 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.71 | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.38/170.71 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23334]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4633,plain,
% 169.38/170.71 ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 169.38/170.71 | ~ c_in(X0,c_IntDef_OInts,X2)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_OInts,X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11575_3) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23326,plain,
% 169.38/170.71 ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 169.38/170.71 | ~ c_in(X0,c_IntDef_OInts,X2)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_OInts,X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4633]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23327,plain,
% 169.38/170.71 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.71 | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.38/170.71 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23326]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4629,plain,
% 169.38/170.71 ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 169.38/170.71 | ~ c_in(X0,c_IntDef_OInts,X2)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_OInts,X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11576_3) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23318,plain,
% 169.38/170.71 ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 169.38/170.71 | ~ c_in(X0,c_IntDef_OInts,X2)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_OInts,X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4629]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23319,plain,
% 169.38/170.71 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.71 | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_OInts,X0)
% 169.38/170.71 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23318]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4623,plain,
% 169.38/170.71 ( c_in(X0,c_Inter(X1,X2),X2)
% 169.38/170.71 | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11578_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23306,plain,
% 169.38/170.71 ( c_in(X0,c_Inter(X1,X2),X2)
% 169.38/170.71 | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4623]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4621,plain,
% 169.38/170.71 ( c_in(X0,c_Inter(X1,X2),X2)
% 169.38/170.71 | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11579_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23302,plain,
% 169.38/170.71 ( c_in(X0,c_Inter(X1,X2),X2)
% 169.38/170.71 | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4621]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4614,plain,
% 169.38/170.71 ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11581_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23288,plain,
% 169.38/170.71 ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4614]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4612,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11582_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23284,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4612]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23285,plain,
% 169.38/170.71 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.71 | 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) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23284]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4610,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11583_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23280,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4610]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23281,plain,
% 169.38/170.71 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.71 | 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) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23280]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4608,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | ~ c_List_Odistinct(X0,X1) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11584_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23276,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | ~ c_List_Odistinct(X0,X1) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4608]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23277,plain,
% 169.38/170.71 ( ~ c_List_Odistinct(X0,X1)
% 169.38/170.71 | 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) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23276]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4606,plain,
% 169.38/170.71 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 169.38/170.71 | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11585_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23272,plain,
% 169.38/170.71 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 169.38/170.71 | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4606]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4604,plain,
% 169.38/170.71 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 169.38/170.71 | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11586_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23268,plain,
% 169.38/170.71 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 169.38/170.71 | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4604]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4601,plain,
% 169.38/170.71 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.71 | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.71 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11587_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23262,plain,
% 169.38/170.71 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.71 | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.71 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4601]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4599,plain,
% 169.38/170.71 ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 169.38/170.71 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11589_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23258,plain,
% 169.38/170.71 ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 169.38/170.71 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4599]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23259,plain,
% 169.38/170.71 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.38/170.71 | c_in(c_List_Onth(X1,X0,X2),c_List_Oset(X1,X2),X2) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23258]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4597,plain,
% 169.38/170.71 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(c_divide(X0,X3,X2),X1,X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11590_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23254,plain,
% 169.38/170.71 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(c_divide(X0,X3,X2),X1,X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4597]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23255,plain,
% 169.38/170.71 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.71 | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(c_divide(X1,X3,X0),X2,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23254]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4595,plain,
% 169.38/170.71 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_divide(X1,X3,X2),X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11591_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23250,plain,
% 169.38/170.71 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_divide(X1,X3,X2),X2)
% 169.38/170.71 | ~ class_Ring__and__Field_Ofield(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4595]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23251,plain,
% 169.38/170.71 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.71 | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_divide(X2,X3,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23250]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4576,plain,
% 169.38/170.71 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 169.38/170.71 | ~ 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)
% 169.38/170.71 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11596_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23212,plain,
% 169.38/170.71 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 169.38/170.71 | ~ 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)
% 169.38/170.71 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4576]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23213,plain,
% 169.38/170.71 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.71 | ~ 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)
% 169.38/170.71 | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23212]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4574,plain,
% 169.38/170.71 ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 169.38/170.71 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11599_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23208,plain,
% 169.38/170.71 ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 169.38/170.71 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4574]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4572,plain,
% 169.38/170.71 ( c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11601_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23204,plain,
% 169.38/170.71 ( c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4572]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23205,plain,
% 169.38/170.71 ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | c_in(X0,X1,X3) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23204]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4569,plain,
% 169.38/170.71 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.38/170.71 | X1 = X0
% 169.38/170.71 | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11603_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23198,plain,
% 169.38/170.71 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.38/170.71 | X1 = X0
% 169.38/170.71 | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 169.38/170.71 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4569]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23199,plain,
% 169.38/170.71 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.38/170.71 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.38/170.71 | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 169.38/170.71 | X1 = X0 ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23198]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4564,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11605_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23188,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4564]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23189,plain,
% 169.38/170.71 ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 169.38/170.71 | c_lessequals(X1,X3,tc_set(X2)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23188]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4562,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11606_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23184,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4562]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23185,plain,
% 169.38/170.71 ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 169.38/170.71 | c_lessequals(X1,X3,tc_set(X2)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23184]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4560,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11607_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23180,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4560]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23181,plain,
% 169.38/170.71 ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 169.38/170.71 | c_lessequals(X0,X3,tc_set(X2)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23180]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4558,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11608_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23176,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4558]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23177,plain,
% 169.38/170.71 ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 169.38/170.71 | c_lessequals(X0,X2,tc_set(X3)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23176]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4556,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(X0,c_inter(X1,X3,X2),tc_set(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11609_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23172,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.71 | ~ c_lessequals(X0,c_inter(X1,X3,X2),tc_set(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4556]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23173,plain,
% 169.38/170.71 ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 169.38/170.71 | c_lessequals(X0,X1,tc_set(X3)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23172]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4551,plain,
% 169.38/170.71 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.71 | ~ c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11617_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23162,plain,
% 169.38/170.71 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.71 | ~ c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4551]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23163,plain,
% 169.38/170.71 ( ~ c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.71 | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23162]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4549,plain,
% 169.38/170.71 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.71 | ~ c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11618_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23158,plain,
% 169.38/170.71 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.71 | ~ c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4549]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23159,plain,
% 169.38/170.71 ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.71 | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23158]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4547,plain,
% 169.38/170.71 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.71 | ~ c_in(c_union(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11619_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23154,plain,
% 169.38/170.71 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.71 | ~ c_in(c_union(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4547]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23155,plain,
% 169.38/170.71 ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.71 | c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23154]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4545,plain,
% 169.38/170.71 ( ~ c_less(c_0,X0,tc_nat)
% 169.38/170.71 | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11620_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23150,plain,
% 169.38/170.71 ( ~ c_less(c_0,X0,tc_nat)
% 169.38/170.71 | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4545]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23151,plain,
% 169.38/170.71 ( ~ c_less(c_0,X0,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,X1,tc_nat)
% 169.38/170.71 | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23150]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4535,plain,
% 169.38/170.71 ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11627_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23130,plain,
% 169.38/170.71 ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4535]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23131,plain,
% 169.38/170.71 ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23130]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4532,plain,
% 169.38/170.71 ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_less(c_0,X0,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11628_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23124,plain,
% 169.38/170.71 ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.71 | ~ c_less(c_0,X0,tc_nat)
% 169.38/170.71 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4532]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4529,plain,
% 169.38/170.71 ( c_in(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 169.38/170.71 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11629_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23118,plain,
% 169.38/170.71 ( c_in(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 169.38/170.71 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4529]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23119,plain,
% 169.38/170.71 ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 169.38/170.71 | ~ c_in(X3,c_List_Oset(X0,X2),X2)
% 169.38/170.71 | c_in(X3,X1,X2) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23118]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4527,plain,
% 169.38/170.71 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.71 | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11630_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23114,plain,
% 169.38/170.71 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.71 | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4527]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23115,plain,
% 169.38/170.71 ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.38/170.71 | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23114]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4524,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11631_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23108,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4524]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23109,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | c_less(X1,X2,X0)
% 169.38/170.71 | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23108]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4521,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X0,X3,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11632_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23102,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X0,X3,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4521]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23103,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | c_less(X1,X2,X0)
% 169.38/170.71 | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X3,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23102]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4518,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11633_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23096,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4518]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23097,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | c_lessequals(X1,X2,X0)
% 169.38/170.71 | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X3,X2,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23096]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4515,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X0,X3,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11634_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23090,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X0,X3,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4515]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23091,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | c_less(X1,X2,X0)
% 169.38/170.71 | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X3,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23090]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4512,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X0,c_SetInterval_OatLeastLessThan(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11635_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23084,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X0,c_SetInterval_OatLeastLessThan(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4512]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23085,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | c_less(X1,X2,X0)
% 169.38/170.71 | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X3,X2,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23084]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4509,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X0,X3,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11636_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23078,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X0,X3,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4509]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23079,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | c_lessequals(X1,X2,X0)
% 169.38/170.71 | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X1,X3,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23078]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4506,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X0,c_SetInterval_OatLeastAtMost(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11637_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23072,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X0,c_SetInterval_OatLeastAtMost(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4506]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23073,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | c_lessequals(X1,X2,X0)
% 169.38/170.71 | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23072]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4503,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X0,X3,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11638_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23066,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X0,X3,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4503]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23067,plain,
% 169.38/170.71 ( ~ class_Orderings_Oord(X0)
% 169.38/170.71 | c_lessequals(X1,X2,X0)
% 169.38/170.71 | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X1,X3,X0),X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23066]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4500,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11639_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23060,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4500]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23061,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.38/170.71 | c_lessequals(X2,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23060]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4497,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_lessequals(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11640_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23054,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_lessequals(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4497]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23055,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.38/170.71 | c_lessequals(X1,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23054]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4494,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_lessequals(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11641_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23048,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_lessequals(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4494]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23049,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.38/170.71 | c_lessequals(X1,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23048]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4491,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_lessequals(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11642_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23042,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_lessequals(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4491]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23043,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.38/170.71 | c_lessequals(X1,X2,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23042]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4488,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_less(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11643_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23036,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_less(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4488]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23037,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.38/170.71 | c_less(X1,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23036]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4485,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_less(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11644_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23030,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_less(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4485]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23031,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 169.38/170.71 | c_less(X1,X2,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23030]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4482,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_less(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11645_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23024,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_less(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4482]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23025,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.38/170.71 | c_less(X2,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23024]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4479,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_less(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11646_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23018,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_less(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 169.38/170.71 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4479]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23019,plain,
% 169.38/170.71 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.71 | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 169.38/170.71 | c_less(X1,X3,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23018]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4476,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | ~ c_lessequals(X2,X0,tc_nat)
% 169.38/170.71 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11647_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23012,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | ~ c_lessequals(X2,X0,tc_nat)
% 169.38/170.71 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4476]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23013,plain,
% 169.38/170.71 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.71 | ~ c_lessequals(X1,X2,tc_nat)
% 169.38/170.71 | 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) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_23012]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4473,plain,
% 169.38/170.71 ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 169.38/170.71 | c_in(X0,X2,X3)
% 169.38/170.71 | ~ c_in(X0,X1,X3) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11648_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23006,plain,
% 169.38/170.71 ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 169.38/170.71 | c_in(X0,X2,X3)
% 169.38/170.71 | ~ c_in(X0,X1,X3) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4473]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4471,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.71 | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11649_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_23002,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.71 | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4471]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4437,plain,
% 169.38/170.71 ( c_minus(c_insert(X0,X1,X2),X3,tc_set(X2)) = c_minus(X1,X3,tc_set(X2))
% 169.38/170.71 | ~ c_in(X0,X3,X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11658_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22934,plain,
% 169.38/170.71 ( c_minus(c_insert(X0,X1,X2),X3,tc_set(X2)) = c_minus(X1,X3,tc_set(X2))
% 169.38/170.71 | ~ c_in(X0,X3,X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4437]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22935,plain,
% 169.38/170.71 ( ~ c_in(X0,X1,X2)
% 169.38/170.71 | c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_22934]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4426,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 169.38/170.71 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11661_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22912,plain,
% 169.38/170.71 ( c_less(X0,X1,X2)
% 169.38/170.71 | ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 169.38/170.71 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4426]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22913,plain,
% 169.38/170.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.71 | ~ c_less(c_minus(X1,X2,X0),c_0,X0)
% 169.38/170.71 | c_less(X1,X2,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_22912]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4423,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 169.38/170.71 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11662_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22906,plain,
% 169.38/170.71 ( c_lessequals(X0,X1,X2)
% 169.38/170.71 | ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 169.38/170.71 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4423]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22907,plain,
% 169.38/170.71 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.71 | ~ c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 169.38/170.71 | c_lessequals(X1,X2,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_22906]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4421,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | X1 = c_0 ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11664_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22902,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | X1 = c_0 ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4421]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4419,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | X0 = c_0 ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11665_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22898,plain,
% 169.38/170.71 ( 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)
% 169.38/170.71 | X0 = c_0 ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4419]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4413,plain,
% 169.38/170.71 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.38/170.71 | c_less(c_0,X1,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11667_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22886,plain,
% 169.38/170.71 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 169.38/170.71 | c_less(c_0,X1,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4413]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4411,plain,
% 169.38/170.71 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.38/170.71 | c_less(c_0,X0,tc_nat) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11668_1) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22882,plain,
% 169.38/170.71 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 169.38/170.71 | c_less(c_0,X0,tc_nat) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4411]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4408,plain,
% 169.38/170.71 ( c_lessequals(c_0,X0,X1)
% 169.38/170.71 | ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 169.38/170.71 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11669_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22876,plain,
% 169.38/170.71 ( c_lessequals(c_0,X0,X1)
% 169.38/170.71 | ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 169.38/170.71 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4408]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22877,plain,
% 169.38/170.71 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.71 | ~ c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 169.38/170.71 | c_lessequals(c_0,X1,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_22876]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4405,plain,
% 169.38/170.71 ( c_lessequals(X0,c_0,X1)
% 169.38/170.71 | ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 169.38/170.71 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11670_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22870,plain,
% 169.38/170.71 ( c_lessequals(X0,c_0,X1)
% 169.38/170.71 | ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 169.38/170.71 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4405]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22871,plain,
% 169.38/170.71 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.71 | ~ c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 169.38/170.71 | c_lessequals(X1,c_0,X0) ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_22870]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4402,plain,
% 169.38/170.71 ( X0 = X1 | c_in(X0,X2,X3) | ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11671_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22864,plain,
% 169.38/170.71 ( X0 = X1 | c_in(X0,X2,X3) | ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4402]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22865,plain,
% 169.38/170.71 ( ~ c_in(X0,c_insert(X1,X2,X3),X3) | c_in(X0,X2,X3) | X0 = X1 ),
% 169.38/170.71 inference(rewriting,[status(thm)],[c_22864]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_4399,plain,
% 169.38/170.71 ( X0 = X1
% 169.38/170.71 | c_List_Oop_Amem(X1,X2,X3)
% 169.38/170.71 | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X0,X2,X3),X3) ),
% 169.38/170.71 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11672_2) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22858,plain,
% 169.38/170.71 ( X0 = X1
% 169.38/170.71 | c_List_Oop_Amem(X1,X2,X3)
% 169.38/170.71 | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X0,X2,X3),X3) ),
% 169.38/170.71 inference(copy,[status(esa)],[c_4399]) ).
% 169.38/170.71
% 169.38/170.71 cnf(c_22859,plain,
% 169.38/170.71 ( ~ c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 169.38/170.72 | c_List_Oop_Amem(X0,X2,X3)
% 169.38/170.72 | X1 = X0 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22858]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4392,plain,
% 169.38/170.72 ( c_inter(X0,X1,X2) = c_emptyset
% 169.38/170.72 | c_inter(c_insert(X3,X0,X2),X1,X2) != c_emptyset ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11675_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22844,plain,
% 169.38/170.72 ( c_inter(X0,X1,X2) = c_emptyset
% 169.38/170.72 | c_inter(c_insert(X3,X0,X2),X1,X2) != c_emptyset ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4392]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22845,plain,
% 169.38/170.72 ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset
% 169.38/170.72 | c_inter(X1,X3,X2) = c_emptyset ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22844]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4388,plain,
% 169.38/170.72 ( c_inter(X0,X1,X2) = c_emptyset
% 169.38/170.72 | c_inter(X0,c_insert(X3,X1,X2),X2) != c_emptyset ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11677_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22836,plain,
% 169.38/170.72 ( c_inter(X0,X1,X2) = c_emptyset
% 169.38/170.72 | c_inter(X0,c_insert(X3,X1,X2),X2) != c_emptyset ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4388]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22837,plain,
% 169.38/170.72 ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset
% 169.38/170.72 | c_inter(X0,X2,X3) = c_emptyset ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22836]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4386,plain,
% 169.38/170.72 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X3,X1,X2),X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11678_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22832,plain,
% 169.38/170.72 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X3,X1,X2),X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4386]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22833,plain,
% 169.38/170.72 ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X2,X3) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22832]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4384,plain,
% 169.38/170.72 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X1,X3,X2),X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11679_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22828,plain,
% 169.38/170.72 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X1,X3,X2),X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4384]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22829,plain,
% 169.38/170.72 ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X1,X3) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22828]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4382,plain,
% 169.38/170.72 ( X0 = c_0
% 169.38/170.72 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11680_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22824,plain,
% 169.38/170.72 ( X0 = c_0
% 169.38/170.72 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4382]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22825,plain,
% 169.38/170.72 ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | X0 = c_0 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22824]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4379,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | c_Numeral_Onumber__of(X0,X1) != c_1
% 169.38/170.72 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11682_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22818,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | c_Numeral_Onumber__of(X0,X1) != c_1
% 169.38/170.72 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4379]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22819,plain,
% 169.38/170.72 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.72 | 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)
% 169.38/170.72 | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22818]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4372,plain,
% 169.38/170.72 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11685_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22804,plain,
% 169.38/170.72 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4372]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22805,plain,
% 169.38/170.72 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.72 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22804]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4364,plain,
% 169.38/170.72 ( c_Orderings_Omin(X0,c_Finite__Set_OMin(X1,X2),X2) = c_Finite__Set_OMin(c_insert(X0,X1,X2),X2)
% 169.38/170.72 | X1 = c_emptyset
% 169.38/170.72 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.72 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11688_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22788,plain,
% 169.38/170.72 ( c_Orderings_Omin(X0,c_Finite__Set_OMin(X1,X2),X2) = c_Finite__Set_OMin(c_insert(X0,X1,X2),X2)
% 169.38/170.72 | X1 = c_emptyset
% 169.38/170.72 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.72 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4364]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22789,plain,
% 169.38/170.72 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.72 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.72 | c_Orderings_Omin(X2,c_Finite__Set_OMin(X1,X0),X0) = c_Finite__Set_OMin(c_insert(X2,X1,X0),X0)
% 169.38/170.72 | X1 = c_emptyset ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22788]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4360,plain,
% 169.38/170.72 ( c_Orderings_Omax(X0,c_Finite__Set_OMax(X1,X2),X2) = c_Finite__Set_OMax(c_insert(X0,X1,X2),X2)
% 169.38/170.72 | X1 = c_emptyset
% 169.38/170.72 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.72 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11689_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22780,plain,
% 169.38/170.72 ( c_Orderings_Omax(X0,c_Finite__Set_OMax(X1,X2),X2) = c_Finite__Set_OMax(c_insert(X0,X1,X2),X2)
% 169.38/170.72 | X1 = c_emptyset
% 169.38/170.72 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.72 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4360]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22781,plain,
% 169.38/170.72 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.72 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.72 | c_Orderings_Omax(X2,c_Finite__Set_OMax(X1,X0),X0) = c_Finite__Set_OMax(c_insert(X2,X1,X0),X0)
% 169.38/170.72 | X1 = c_emptyset ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22780]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4342,plain,
% 169.38/170.72 ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 169.38/170.72 | ~ c_less(X3,X0,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11695_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22744,plain,
% 169.38/170.72 ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 169.38/170.72 | ~ c_less(X3,X0,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4342]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22745,plain,
% 169.38/170.72 ( ~ c_less(X0,X1,tc_nat)
% 169.38/170.72 | c_List_Onth(c_List_Otake(X1,X2,X3),X0,X3) = c_List_Onth(X2,X0,X3) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22744]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4339,plain,
% 169.38/170.72 ( c_Finite__Set_Ocard(c_insert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
% 169.38/170.72 | c_in(X0,X1,X2)
% 169.38/170.72 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11696_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22738,plain,
% 169.38/170.72 ( c_Finite__Set_Ocard(c_insert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
% 169.38/170.72 | c_in(X0,X1,X2)
% 169.38/170.72 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4339]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22739,plain,
% 169.38/170.72 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.72 | c_in(X2,X0,X1)
% 169.38/170.72 | c_Finite__Set_Ocard(c_insert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1)) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22738]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4333,plain,
% 169.38/170.72 ( c_less(X0,X1,tc_nat) | ~ c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11698_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22726,plain,
% 169.38/170.72 ( c_less(X0,X1,tc_nat) | ~ c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4333]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22727,plain,
% 169.38/170.72 ( ~ c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | c_less(X1,X0,tc_nat) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22726]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4331,plain,
% 169.38/170.72 ( c_inter(c_List_Oset(X0,X1),c_List_Oset(X2,X1),X1) = c_emptyset
% 169.38/170.72 | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11699_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22722,plain,
% 169.38/170.72 ( c_inter(c_List_Oset(X0,X1),c_List_Oset(X2,X1),X1) = c_emptyset
% 169.38/170.72 | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4331]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22723,plain,
% 169.38/170.72 ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2)
% 169.38/170.72 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) = c_emptyset ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22722]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4329,plain,
% 169.38/170.72 ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist__inter(X1,X3,X2)
% 169.38/170.72 | c_in(X0,c_List_Oset(X3,X2),X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11700_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22718,plain,
% 169.38/170.72 ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist__inter(X1,X3,X2)
% 169.38/170.72 | c_in(X0,c_List_Oset(X3,X2),X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4329]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22719,plain,
% 169.38/170.72 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.72 | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist__inter(X3,X1,X2) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22718]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4327,plain,
% 169.38/170.72 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11701_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22714,plain,
% 169.38/170.72 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4327]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22715,plain,
% 169.38/170.72 ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X1,tc_nat) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22714]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4325,plain,
% 169.38/170.72 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11702_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22710,plain,
% 169.38/170.72 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4325]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22711,plain,
% 169.38/170.72 ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X0,tc_nat) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22710]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4323,plain,
% 169.38/170.72 ( c_less(X0,X1,tc_IntDef_Oint)
% 169.38/170.72 | ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11703_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22706,plain,
% 169.38/170.72 ( c_less(X0,X1,tc_IntDef_Oint)
% 169.38/170.72 | ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4323]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22707,plain,
% 169.38/170.72 ( ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | c_less(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22706]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4321,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11704_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22702,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4321]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4319,plain,
% 169.38/170.72 ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 169.38/170.72 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11705_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22698,plain,
% 169.38/170.72 ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 169.38/170.72 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4319]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4317,plain,
% 169.38/170.72 ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 169.38/170.72 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11706_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22694,plain,
% 169.38/170.72 ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 169.38/170.72 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4317]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4307,plain,
% 169.38/170.72 ( X0 = c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
% 169.38/170.72 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11709_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22674,plain,
% 169.38/170.72 ( X0 = c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
% 169.38/170.72 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4307]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22675,plain,
% 169.38/170.72 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 169.38/170.72 | X0 = c_append(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22674]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4305,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ c_in(c_0,X2,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11710_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22670,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ c_in(c_0,X2,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4305]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22671,plain,
% 169.38/170.72 ( ~ c_in(c_0,X0,tc_nat)
% 169.38/170.72 | 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) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22670]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4299,plain,
% 169.38/170.72 ( c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2)
% 169.38/170.72 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11714_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22658,plain,
% 169.38/170.72 ( c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2)
% 169.38/170.72 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4299]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22659,plain,
% 169.38/170.72 ( ~ c_in(X0,c_Union(X1,X2),X2)
% 169.38/170.72 | c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22658]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4297,plain,
% 169.38/170.72 ( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
% 169.38/170.72 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11715_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22654,plain,
% 169.38/170.72 ( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
% 169.38/170.72 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4297]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22655,plain,
% 169.38/170.72 ( ~ c_in(X0,c_Union(X1,X2),X2)
% 169.38/170.72 | c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22654]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4289,plain,
% 169.38/170.72 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.72 | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 169.38/170.72 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11717_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22638,plain,
% 169.38/170.72 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.72 | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 169.38/170.72 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4289]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4287,plain,
% 169.38/170.72 ( 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))
% 169.38/170.72 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11718_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22634,plain,
% 169.38/170.72 ( 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))
% 169.38/170.72 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4287]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22635,plain,
% 169.38/170.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.38/170.72 | 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)) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22634]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4285,plain,
% 169.38/170.72 ( c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)) = c_minus(X0,X2,tc_set(X3))
% 169.38/170.72 | c_in(X1,X0,X3) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11719_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22630,plain,
% 169.38/170.72 ( c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)) = c_minus(X0,X2,tc_set(X3))
% 169.38/170.72 | c_in(X1,X0,X3) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4285]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22631,plain,
% 169.38/170.72 ( c_in(X0,X1,X2)
% 169.38/170.72 | c_minus(X1,c_insert(X0,X3,X2),tc_set(X2)) = c_minus(X1,X3,tc_set(X2)) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22630]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4283,plain,
% 169.38/170.72 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 169.38/170.72 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11720_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22626,plain,
% 169.38/170.72 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 169.38/170.72 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4283]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4281,plain,
% 169.38/170.72 ( c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.38/170.72 | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11721_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22622,plain,
% 169.38/170.72 ( c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.38/170.72 | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4281]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22623,plain,
% 169.38/170.72 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.72 | c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22622]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4279,plain,
% 169.38/170.72 ( 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
% 169.38/170.72 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11722_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22618,plain,
% 169.38/170.72 ( 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
% 169.38/170.72 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4279]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22619,plain,
% 169.38/170.72 ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | 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 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22618]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4277,plain,
% 169.38/170.72 ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 169.38/170.72 | ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11723_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22614,plain,
% 169.38/170.72 ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 169.38/170.72 | ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4277]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22615,plain,
% 169.38/170.72 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 169.38/170.72 | c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22614]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4267,plain,
% 169.38/170.72 ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 169.38/170.72 | X0 = c_0 ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11726_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22594,plain,
% 169.38/170.72 ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 169.38/170.72 | X0 = c_0 ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4267]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4265,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.72 | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11727_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22590,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.72 | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4265]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22591,plain,
% 169.38/170.72 ( ~ c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 169.38/170.72 | c_lessequals(X2,X0,tc_set(X1)) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22590]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4262,plain,
% 169.38/170.72 ( c_divide(c_times(X0,c_0,X1),c_times(X2,c_0,X1),X1) = c_0
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11728_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22584,plain,
% 169.38/170.72 ( c_divide(c_times(X0,c_0,X1),c_times(X2,c_0,X1),X1) = c_0
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4262]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22585,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.72 | c_divide(c_times(X1,c_0,X0),c_times(X2,c_0,X0),X0) = c_0 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22584]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4259,plain,
% 169.38/170.72 ( c_divide(c_times(c_0,X0,X1),c_times(c_0,X2,X1),X1) = c_0
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11729_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22578,plain,
% 169.38/170.72 ( c_divide(c_times(c_0,X0,X1),c_times(c_0,X2,X1),X1) = c_0
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4259]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22579,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.72 | c_divide(c_times(c_0,X1,X0),c_times(c_0,X2,X0),X0) = c_0 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22578]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4240,plain,
% 169.38/170.72 ( c_divide(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X0
% 169.38/170.72 | c_Numeral_Onumber__of(X1,X2) = c_0
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.38/170.72 | ~ class_Numeral_Onumber(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11733_4) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22540,plain,
% 169.38/170.72 ( c_divide(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X0
% 169.38/170.72 | c_Numeral_Onumber__of(X1,X2) = c_0
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.38/170.72 | ~ class_Numeral_Onumber(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4240]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22541,plain,
% 169.38/170.72 ( ~ class_Numeral_Onumber(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.72 | c_Numeral_Onumber__of(X1,X0) = c_0
% 169.38/170.72 | c_divide(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22540]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4235,plain,
% 169.38/170.72 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 169.38/170.72 | c_times(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = X2
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.72 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11734_4) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22530,plain,
% 169.38/170.72 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 169.38/170.72 | c_times(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = X2
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.72 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4235]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22531,plain,
% 169.38/170.72 ( ~ class_Numeral_Onumber(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.72 | c_Numeral_Onumber__of(X1,X0) = c_0
% 169.38/170.72 | c_times(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22530]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4233,plain,
% 169.38/170.72 ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 169.38/170.72 | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11735_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22526,plain,
% 169.38/170.72 ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 169.38/170.72 | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4233]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4222,plain,
% 169.38/170.72 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.72 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11738_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22504,plain,
% 169.38/170.72 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.72 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4222]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4193,plain,
% 169.38/170.72 ( c_in(X0,c_Union(X1,X2),X2)
% 169.38/170.72 | ~ c_in(X3,X1,tc_set(X2))
% 169.38/170.72 | ~ c_in(X0,X3,X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11746_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22446,plain,
% 169.38/170.72 ( c_in(X0,c_Union(X1,X2),X2)
% 169.38/170.72 | ~ c_in(X3,X1,tc_set(X2))
% 169.38/170.72 | ~ c_in(X0,X3,X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4193]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4191,plain,
% 169.38/170.72 ( c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2)
% 169.38/170.72 | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11747_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22442,plain,
% 169.38/170.72 ( c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2)
% 169.38/170.72 | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4191]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22443,plain,
% 169.38/170.72 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 169.38/170.72 | c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22442]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4186,plain,
% 169.38/170.72 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.72 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11749_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22432,plain,
% 169.38/170.72 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.72 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4186]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4184,plain,
% 169.38/170.72 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.72 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11750_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22428,plain,
% 169.38/170.72 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.72 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4184]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4182,plain,
% 169.38/170.72 ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.72 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11751_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22424,plain,
% 169.38/170.72 ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 169.38/170.72 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4182]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4180,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11752_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22420,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4180]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22421,plain,
% 169.38/170.72 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.38/170.72 | 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) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22420]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4168,plain,
% 169.38/170.72 ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = c_0
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.72 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11755_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22396,plain,
% 169.38/170.72 ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = c_0
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.72 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4168]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22397,plain,
% 169.38/170.72 ( ~ class_Numeral_Onumber(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.72 | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22396]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4146,plain,
% 169.38/170.72 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.72 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11764_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22352,plain,
% 169.38/170.72 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.72 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4146]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4144,plain,
% 169.38/170.72 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.38/170.72 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11765_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22348,plain,
% 169.38/170.72 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.38/170.72 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4144]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22349,plain,
% 169.38/170.72 ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.72 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_0 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22348]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4142,plain,
% 169.38/170.72 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | 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 ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11766_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22344,plain,
% 169.38/170.72 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | 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 ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4142]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4140,plain,
% 169.38/170.72 ( 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
% 169.38/170.72 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11767_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22340,plain,
% 169.38/170.72 ( 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
% 169.38/170.72 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4140]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22341,plain,
% 169.38/170.72 ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | 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 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22340]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4137,plain,
% 169.38/170.72 ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 169.38/170.72 | ~ c_less(X0,X1,X2)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11768_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22334,plain,
% 169.38/170.72 ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 169.38/170.72 | ~ c_less(X0,X1,X2)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4137]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22335,plain,
% 169.38/170.72 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | c_less(c_minus(X1,X2,X0),c_0,X0)
% 169.38/170.72 | ~ c_less(X1,X2,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22334]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4134,plain,
% 169.38/170.72 ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 169.38/170.72 | ~ c_lessequals(X0,X1,X2)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11769_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22328,plain,
% 169.38/170.72 ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 169.38/170.72 | ~ c_lessequals(X0,X1,X2)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4134]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22329,plain,
% 169.38/170.72 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 169.38/170.72 | ~ c_lessequals(X1,X2,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22328]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4132,plain,
% 169.38/170.72 ( X0 = X1 | ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11770_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22324,plain,
% 169.38/170.72 ( X0 = X1 | ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4132]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22325,plain,
% 169.38/170.72 ( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) | X0 = X1 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22324]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4125,plain,
% 169.38/170.72 ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 169.38/170.72 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.72 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11772_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22310,plain,
% 169.38/170.72 ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 169.38/170.72 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.72 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4125]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22311,plain,
% 169.38/170.72 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.72 | c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 169.38/170.72 | ~ c_lessequals(c_0,X1,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22310]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4122,plain,
% 169.38/170.72 ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 169.38/170.72 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.72 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11773_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22304,plain,
% 169.38/170.72 ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 169.38/170.72 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.72 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4122]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22305,plain,
% 169.38/170.72 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.72 | c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 169.38/170.72 | ~ c_lessequals(X1,c_0,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22304]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4120,plain,
% 169.38/170.72 ( c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 169.38/170.72 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11774_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22300,plain,
% 169.38/170.72 ( c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 169.38/170.72 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4120]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22301,plain,
% 169.38/170.72 ( ~ c_less(c_0,X0,tc_nat)
% 169.38/170.72 | c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22300]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4118,plain,
% 169.38/170.72 ( c_minus(c_insert(X0,c_emptyset,X1),c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_insert(X0,c_emptyset,X1)
% 169.38/170.72 | ~ class_Orderings_Oorder(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11775_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22296,plain,
% 169.38/170.72 ( c_minus(c_insert(X0,c_emptyset,X1),c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_insert(X0,c_emptyset,X1)
% 169.38/170.72 | ~ class_Orderings_Oorder(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4118]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22297,plain,
% 169.38/170.72 ( ~ class_Orderings_Oorder(X0)
% 169.38/170.72 | c_minus(c_insert(X1,c_emptyset,X0),c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_insert(X1,c_emptyset,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22296]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4112,plain,
% 169.38/170.72 ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 169.38/170.72 | c_in(X0,c_Inter(X1,X2),X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11777_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22284,plain,
% 169.38/170.72 ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 169.38/170.72 | c_in(X0,c_Inter(X1,X2),X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4112]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4110,plain,
% 169.38/170.72 ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 169.38/170.72 | c_in(X0,c_Inter(X1,X2),X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11778_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22280,plain,
% 169.38/170.72 ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 169.38/170.72 | c_in(X0,c_Inter(X1,X2),X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4110]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4108,plain,
% 169.38/170.72 ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11779_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22276,plain,
% 169.38/170.72 ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4108]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4106,plain,
% 169.38/170.72 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11780_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22272,plain,
% 169.38/170.72 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4106]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4104,plain,
% 169.38/170.72 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11781_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22268,plain,
% 169.38/170.72 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4104]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4102,plain,
% 169.38/170.72 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 169.38/170.72 | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11782_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22264,plain,
% 169.38/170.72 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 169.38/170.72 | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4102]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4100,plain,
% 169.38/170.72 ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 169.38/170.72 | ~ c_less(X3,X0,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11797_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22260,plain,
% 169.38/170.72 ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 169.38/170.72 | ~ c_less(X3,X0,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4100]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22261,plain,
% 169.38/170.72 ( ~ c_less(X0,X1,tc_nat)
% 169.38/170.72 | c_List_Onth(c_List_Oreplicate(X1,X2,X3),X0,X3) = X2 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22260]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4094,plain,
% 169.38/170.72 ( c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1
% 169.38/170.72 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11802_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22248,plain,
% 169.38/170.72 ( c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1
% 169.38/170.72 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4094]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22249,plain,
% 169.38/170.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.38/170.72 | c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22248]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4092,plain,
% 169.38/170.72 ( c_plus(c_minus(X0,X1,tc_nat),X1,tc_nat) = X0
% 169.38/170.72 | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11803_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22244,plain,
% 169.38/170.72 ( c_plus(c_minus(X0,X1,tc_nat),X1,tc_nat) = X0
% 169.38/170.72 | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4092]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22245,plain,
% 169.38/170.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.38/170.72 | c_plus(c_minus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22244]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4090,plain,
% 169.38/170.72 ( c_minus(X0,c_minus(X0,X1,tc_nat),tc_nat) = X1
% 169.38/170.72 | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11804_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22240,plain,
% 169.38/170.72 ( c_minus(X0,c_minus(X0,X1,tc_nat),tc_nat) = X1
% 169.38/170.72 | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4090]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22241,plain,
% 169.38/170.72 ( ~ c_lessequals(X0,X1,tc_nat)
% 169.38/170.72 | c_minus(X1,c_minus(X1,X0,tc_nat),tc_nat) = X0 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22240]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4087,plain,
% 169.38/170.72 ( c_times(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_times(X0,X2,X1),X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11805_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22234,plain,
% 169.38/170.72 ( c_times(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_times(X0,X2,X1),X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4087]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22235,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.72 | c_times(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0) = c_HOL_Oinverse(c_times(X1,X2,X0),X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22234]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4084,plain,
% 169.38/170.72 ( c_divide(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(c_divide(X0,X2,X1),X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11806_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22228,plain,
% 169.38/170.72 ( c_divide(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(c_divide(X0,X2,X1),X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4084]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22229,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.72 | c_divide(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_divide(X1,X2,X0),X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22228]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4080,plain,
% 169.38/170.72 ( X0 = c_0 | ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11808_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22220,plain,
% 169.38/170.72 ( X0 = c_0 | ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4080]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22221,plain,
% 169.38/170.72 ( ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) | X0 = c_0 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22220]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4073,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,X2)
% 169.38/170.72 | ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2))
% 169.38/170.72 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11812_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22206,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,X2)
% 169.38/170.72 | ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2))
% 169.38/170.72 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4073]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22207,plain,
% 169.38/170.72 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.72 | ~ c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 169.38/170.72 | c_lessequals(X1,X2,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22206]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4070,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,X2)
% 169.38/170.72 | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2))
% 169.38/170.72 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11813_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22200,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,X2)
% 169.38/170.72 | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2))
% 169.38/170.72 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4070]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22201,plain,
% 169.38/170.72 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.72 | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 169.38/170.72 | c_lessequals(X2,X1,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22200]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4067,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,X2)
% 169.38/170.72 | ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
% 169.38/170.72 | ~ class_Orderings_Oorder(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11814_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22194,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,X2)
% 169.38/170.72 | ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
% 169.38/170.72 | ~ class_Orderings_Oorder(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4067]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22195,plain,
% 169.38/170.72 ( ~ class_Orderings_Oorder(X0)
% 169.38/170.72 | ~ c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 169.38/170.72 | c_lessequals(X1,X2,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22194]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4064,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,X2)
% 169.38/170.72 | ~ c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2))
% 169.38/170.72 | ~ class_Orderings_Oorder(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11815_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22188,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,X2)
% 169.38/170.72 | ~ c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2))
% 169.38/170.72 | ~ class_Orderings_Oorder(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4064]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22189,plain,
% 169.38/170.72 ( ~ class_Orderings_Oorder(X0)
% 169.38/170.72 | ~ c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 169.38/170.72 | c_lessequals(X2,X1,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22188]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4062,plain,
% 169.38/170.72 ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11816_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22184,plain,
% 169.38/170.72 ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4062]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4060,plain,
% 169.38/170.72 ( c_div(c_times(X0,X1,tc_nat),X1,tc_nat) = X0 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11818_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22180,plain,
% 169.38/170.72 ( c_div(c_times(X0,X1,tc_nat),X1,tc_nat) = X0 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4060]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22181,plain,
% 169.38/170.72 ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22180]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4058,plain,
% 169.38/170.72 ( c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11819_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22176,plain,
% 169.38/170.72 ( c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4058]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22177,plain,
% 169.38/170.72 ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22176]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4056,plain,
% 169.38/170.72 ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 169.38/170.72 | X0 = c_List_Olist_ONil ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11820_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22172,plain,
% 169.38/170.72 ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 169.38/170.72 | X0 = c_List_Olist_ONil ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4056]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4054,plain,
% 169.38/170.72 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11821_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22168,plain,
% 169.38/170.72 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4054]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22169,plain,
% 169.38/170.72 ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 169.38/170.72 | c_less(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22168]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4052,plain,
% 169.38/170.72 ( c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(X0,c_0,tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11822_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22164,plain,
% 169.38/170.72 ( c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(X0,c_0,tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4052]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22165,plain,
% 169.38/170.72 ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 169.38/170.72 | c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22164]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4050,plain,
% 169.38/170.72 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 169.38/170.72 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11823_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22160,plain,
% 169.38/170.72 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 169.38/170.72 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4050]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22161,plain,
% 169.38/170.72 ( ~ c_less(c_0,X0,tc_nat)
% 169.38/170.72 | c_less(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22160]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4048,plain,
% 169.38/170.72 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 169.38/170.72 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11824_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22156,plain,
% 169.38/170.72 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 169.38/170.72 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4048]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4046,plain,
% 169.38/170.72 ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11825_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22152,plain,
% 169.38/170.72 ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4046]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4044,plain,
% 169.38/170.72 ( c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | ~ c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11826_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22148,plain,
% 169.38/170.72 ( c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | ~ c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4044]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22149,plain,
% 169.38/170.72 ( ~ c_lessequals(X0,X1,tc_IntDef_Oint)
% 169.38/170.72 | c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22148]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4037,plain,
% 169.38/170.72 ( X0 = X1
% 169.38/170.72 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 169.38/170.72 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11828_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22134,plain,
% 169.38/170.72 ( X0 = X1
% 169.38/170.72 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 169.38/170.72 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4037]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22135,plain,
% 169.38/170.72 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.38/170.72 | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 169.38/170.72 | X0 = X2 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22134]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4034,plain,
% 169.38/170.72 ( X0 = X1
% 169.38/170.72 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 169.38/170.72 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11829_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22128,plain,
% 169.38/170.72 ( X0 = X1
% 169.38/170.72 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 169.38/170.72 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4034]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22129,plain,
% 169.38/170.72 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.38/170.72 | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 169.38/170.72 | X3 = X4 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22128]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4031,plain,
% 169.38/170.72 ( X0 = X1
% 169.38/170.72 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 169.38/170.72 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11830_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22122,plain,
% 169.38/170.72 ( X0 = X1
% 169.38/170.72 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 169.38/170.72 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4031]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22123,plain,
% 169.38/170.72 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.38/170.72 | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 169.38/170.72 | X3 = X4 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22122]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4028,plain,
% 169.38/170.72 ( X0 = X1
% 169.38/170.72 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 169.38/170.72 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11831_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22116,plain,
% 169.38/170.72 ( X0 = X1
% 169.38/170.72 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 169.38/170.72 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4028]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22117,plain,
% 169.38/170.72 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 169.38/170.72 | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 169.38/170.72 | X0 = X2 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22116]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4026,plain,
% 169.38/170.72 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11832_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22112,plain,
% 169.38/170.72 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4026]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4024,plain,
% 169.38/170.72 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11833_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22108,plain,
% 169.38/170.72 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4024]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4022,plain,
% 169.38/170.72 ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11834_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22104,plain,
% 169.38/170.72 ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4022]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4020,plain,
% 169.38/170.72 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11835_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22100,plain,
% 169.38/170.72 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4020]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4015,plain,
% 169.38/170.72 ( c_less(c_0,X0,tc_nat)
% 169.38/170.72 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11837_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22090,plain,
% 169.38/170.72 ( c_less(c_0,X0,tc_nat)
% 169.38/170.72 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4015]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22091,plain,
% 169.38/170.72 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | c_less(c_0,X1,tc_nat) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22090]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4013,plain,
% 169.38/170.72 ( c_less(c_0,X0,tc_nat)
% 169.38/170.72 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11838_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22086,plain,
% 169.38/170.72 ( c_less(c_0,X0,tc_nat)
% 169.38/170.72 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4013]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22087,plain,
% 169.38/170.72 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.38/170.72 | c_less(c_0,X1,tc_nat) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22086]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4011,plain,
% 169.38/170.72 ( c_LOrder_Ojoin(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Omeet(X0,X2,X1),X1)
% 169.38/170.72 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11839_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22082,plain,
% 169.38/170.72 ( c_LOrder_Ojoin(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Omeet(X0,X2,X1),X1)
% 169.38/170.72 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4011]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22083,plain,
% 169.38/170.72 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.72 | c_LOrder_Ojoin(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Omeet(X1,X2,X0),X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22082]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4009,plain,
% 169.38/170.72 ( c_LOrder_Omeet(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Ojoin(X0,X2,X1),X1)
% 169.38/170.72 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11840_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22078,plain,
% 169.38/170.72 ( c_LOrder_Omeet(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Ojoin(X0,X2,X1),X1)
% 169.38/170.72 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4009]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22079,plain,
% 169.38/170.72 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.72 | c_LOrder_Omeet(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Ojoin(X1,X2,X0),X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22078]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4007,plain,
% 169.38/170.72 ( c_plus(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_plus(X0,X2,X1),X1)
% 169.38/170.72 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11841_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22074,plain,
% 169.38/170.72 ( c_plus(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_plus(X0,X2,X1),X1)
% 169.38/170.72 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4007]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22075,plain,
% 169.38/170.72 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.38/170.72 | c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_plus(X1,X2,X0),X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22074]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4005,plain,
% 169.38/170.72 ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 169.38/170.72 | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11842_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22070,plain,
% 169.38/170.72 ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 169.38/170.72 | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4005]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4003,plain,
% 169.38/170.72 ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 169.38/170.72 | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11845_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22066,plain,
% 169.38/170.72 ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 169.38/170.72 | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4003]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_4001,plain,
% 169.38/170.72 ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11846_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22062,plain,
% 169.38/170.72 ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_4001]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3999,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11847_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22058,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3999]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22059,plain,
% 169.38/170.72 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.72 | 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) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22058]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3997,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11849_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22054,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3997]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22055,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.38/170.72 | 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) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22054]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3995,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11850_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22050,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3995]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22051,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.38/170.72 | 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) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22050]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3993,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11851_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22046,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3993]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22047,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.72 | 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) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22046]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3991,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11852_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22042,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3991]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22043,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.72 | 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) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22042]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3989,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11853_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22038,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3989]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22039,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.72 | 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) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22038]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3986,plain,
% 169.38/170.72 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.72 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11854_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22032,plain,
% 169.38/170.72 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 169.38/170.72 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3986]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3979,plain,
% 169.38/170.72 ( c_divide(X0,c_times(X1,X0,X2),X2) = c_divide(c_1,X1,X2)
% 169.38/170.72 | X0 = c_0
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11856_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22018,plain,
% 169.38/170.72 ( c_divide(X0,c_times(X1,X0,X2),X2) = c_divide(c_1,X1,X2)
% 169.38/170.72 | X0 = c_0
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3979]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22019,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.72 | c_divide(X1,c_times(X2,X1,X0),X0) = c_divide(c_1,X2,X0)
% 169.38/170.72 | X1 = c_0 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22018]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3975,plain,
% 169.38/170.72 ( c_divide(X0,c_times(X0,X1,X2),X2) = c_divide(c_1,X1,X2)
% 169.38/170.72 | X0 = c_0
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11857_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22010,plain,
% 169.38/170.72 ( c_divide(X0,c_times(X0,X1,X2),X2) = c_divide(c_1,X1,X2)
% 169.38/170.72 | X0 = c_0
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3975]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22011,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.72 | c_divide(X1,c_times(X1,X2,X0),X0) = c_divide(c_1,X2,X0)
% 169.38/170.72 | X1 = c_0 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22010]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3972,plain,
% 169.38/170.72 ( c_less(X0,X1,X2)
% 169.38/170.72 | ~ c_less(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11858_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22004,plain,
% 169.38/170.72 ( c_less(X0,X1,X2)
% 169.38/170.72 | ~ c_less(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3972]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_22005,plain,
% 169.38/170.72 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | ~ c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 169.38/170.72 | c_less(X2,X1,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_22004]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3969,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,X2)
% 169.38/170.72 | ~ c_lessequals(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11859_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21998,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,X2)
% 169.38/170.72 | ~ c_lessequals(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3969]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21999,plain,
% 169.38/170.72 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | ~ c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 169.38/170.72 | c_lessequals(X2,X1,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21998]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3967,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11861_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21994,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3967]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21995,plain,
% 169.38/170.72 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | 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) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21994]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3960,plain,
% 169.38/170.72 ( c_less(X0,X1,tc_nat)
% 169.38/170.72 | ~ c_less(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11863_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21980,plain,
% 169.38/170.72 ( c_less(X0,X1,tc_nat)
% 169.38/170.72 | ~ c_less(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3960]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21981,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.38/170.72 | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 169.38/170.72 | c_less(X1,X2,tc_nat) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21980]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3957,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,tc_nat)
% 169.38/170.72 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11864_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21974,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,tc_nat)
% 169.38/170.72 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3957]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21975,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.38/170.72 | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 169.38/170.72 | c_lessequals(X1,X2,tc_nat) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21974]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3954,plain,
% 169.38/170.72 ( c_less(X0,X1,tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11865_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21968,plain,
% 169.38/170.72 ( c_less(X0,X1,tc_IntDef_Oint)
% 169.38/170.72 | ~ c_less(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3954]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21969,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.72 | ~ c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 169.38/170.72 | c_less(X1,X2,tc_IntDef_Oint) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21968]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3951,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 169.38/170.72 | ~ c_lessequals(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11866_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21962,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 169.38/170.72 | ~ c_lessequals(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 169.38/170.72 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3951]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21963,plain,
% 169.38/170.72 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.72 | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 169.38/170.72 | c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21962]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3941,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | c_Numeral_Onumber__of(X0,X1) != c_1
% 169.38/170.72 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11873_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21942,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | c_Numeral_Onumber__of(X0,X1) != c_1
% 169.38/170.72 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3941]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21943,plain,
% 169.38/170.72 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.72 | 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)
% 169.38/170.72 | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21942]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3931,plain,
% 169.38/170.72 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11879_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21922,plain,
% 169.38/170.72 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.72 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3931]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3929,plain,
% 169.38/170.72 ( c_Orderings_Omax(X0,c_Orderings_Omax(X0,X1,X2),X2) = c_Orderings_Omax(X0,X1,X2)
% 169.38/170.72 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11880_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21918,plain,
% 169.38/170.72 ( c_Orderings_Omax(X0,c_Orderings_Omax(X0,X1,X2),X2) = c_Orderings_Omax(X0,X1,X2)
% 169.38/170.72 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3929]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21919,plain,
% 169.38/170.72 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.72 | c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X0),X0) = c_Orderings_Omax(X1,X2,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21918]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3927,plain,
% 169.38/170.72 ( c_Orderings_Omin(X0,c_Orderings_Omin(X0,X1,X2),X2) = c_Orderings_Omin(X0,X1,X2)
% 169.38/170.72 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11881_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21914,plain,
% 169.38/170.72 ( c_Orderings_Omin(X0,c_Orderings_Omin(X0,X1,X2),X2) = c_Orderings_Omin(X0,X1,X2)
% 169.38/170.72 | ~ class_Orderings_Olinorder(X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3927]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21915,plain,
% 169.38/170.72 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.72 | c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X0),X0) = c_Orderings_Omin(X1,X2,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21914]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3925,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.72 | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11882_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21910,plain,
% 169.38/170.72 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.72 | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3925]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3923,plain,
% 169.38/170.72 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 169.38/170.72 | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11886_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21906,plain,
% 169.38/170.72 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 169.38/170.72 | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3923]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3916,plain,
% 169.38/170.72 ( c_Numeral_Onumber__of(X0,X1) = c_Numeral_Onumber__of(X2,X1)
% 169.38/170.72 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 169.38/170.72 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11889_2) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21892,plain,
% 169.38/170.72 ( c_Numeral_Onumber__of(X0,X1) = c_Numeral_Onumber__of(X2,X1)
% 169.38/170.72 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 169.38/170.72 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3916]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21893,plain,
% 169.38/170.72 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.72 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 169.38/170.72 | c_Numeral_Onumber__of(X1,X0) = c_Numeral_Onumber__of(X2,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21892]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3908,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11894_1) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21876,plain,
% 169.38/170.72 ( 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)
% 169.38/170.72 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3908]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21877,plain,
% 169.38/170.72 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.72 | 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) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21876]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3904,plain,
% 169.38/170.72 ( c_less(c_uminus(c_1,X0),X1,X0)
% 169.38/170.72 | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | ~ class_HOL_Oone(X0) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11895_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21868,plain,
% 169.38/170.72 ( c_less(c_uminus(c_1,X0),X1,X0)
% 169.38/170.72 | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | ~ class_HOL_Oone(X0) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3904]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21869,plain,
% 169.38/170.72 ( ~ class_HOL_Oone(X0)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | c_less(c_uminus(c_1,X0),X1,X0)
% 169.38/170.72 | ~ c_less(c_uminus(X1,X0),c_1,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21868]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3900,plain,
% 169.38/170.72 ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 169.38/170.72 | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | ~ class_HOL_Oone(X0) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11896_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21860,plain,
% 169.38/170.72 ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 169.38/170.72 | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | ~ class_HOL_Oone(X0) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3900]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21861,plain,
% 169.38/170.72 ( ~ class_HOL_Oone(X0)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | c_lessequals(c_uminus(c_1,X0),X1,X0)
% 169.38/170.72 | ~ c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21860]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3896,plain,
% 169.38/170.72 ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.72 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11897_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21852,plain,
% 169.38/170.72 ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.72 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3896]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21853,plain,
% 169.38/170.72 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.72 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.72 | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21852]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3892,plain,
% 169.38/170.72 ( c_less(X0,c_uminus(c_1,X1),X1)
% 169.38/170.72 | ~ c_less(c_1,c_uminus(X0,X1),X1)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.72 | ~ class_HOL_Oone(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11898_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21844,plain,
% 169.38/170.72 ( c_less(X0,c_uminus(c_1,X1),X1)
% 169.38/170.72 | ~ c_less(c_1,c_uminus(X0,X1),X1)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.72 | ~ class_HOL_Oone(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3892]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21845,plain,
% 169.38/170.72 ( ~ class_HOL_Oone(X0)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | ~ c_less(c_1,c_uminus(X1,X0),X0)
% 169.38/170.72 | c_less(X1,c_uminus(c_1,X0),X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21844]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3888,plain,
% 169.38/170.72 ( c_lessequals(X0,c_uminus(c_1,X1),X1)
% 169.38/170.72 | ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.72 | ~ class_HOL_Oone(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11899_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21836,plain,
% 169.38/170.72 ( c_lessequals(X0,c_uminus(c_1,X1),X1)
% 169.38/170.72 | ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.72 | ~ class_HOL_Oone(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3888]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21837,plain,
% 169.38/170.72 ( ~ class_HOL_Oone(X0)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | ~ c_lessequals(c_1,c_uminus(X1,X0),X0)
% 169.38/170.72 | c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21836]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3866,plain,
% 169.38/170.72 ( c_less(c_uminus(X0,X1),c_1,X1)
% 169.38/170.72 | ~ c_less(c_uminus(c_1,X1),X0,X1)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.72 | ~ class_HOL_Oone(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11906_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21792,plain,
% 169.38/170.72 ( c_less(c_uminus(X0,X1),c_1,X1)
% 169.38/170.72 | ~ c_less(c_uminus(c_1,X1),X0,X1)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.72 | ~ class_HOL_Oone(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3866]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21793,plain,
% 169.38/170.72 ( ~ class_HOL_Oone(X0)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | ~ c_less(c_uminus(c_1,X0),X1,X0)
% 169.38/170.72 | c_less(c_uminus(X1,X0),c_1,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21792]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3862,plain,
% 169.38/170.72 ( c_lessequals(c_uminus(X0,X1),c_1,X1)
% 169.38/170.72 | ~ c_lessequals(c_uminus(c_1,X1),X0,X1)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.72 | ~ class_HOL_Oone(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11907_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21784,plain,
% 169.38/170.72 ( c_lessequals(c_uminus(X0,X1),c_1,X1)
% 169.38/170.72 | ~ c_lessequals(c_uminus(c_1,X1),X0,X1)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.72 | ~ class_HOL_Oone(X1) ),
% 169.38/170.72 inference(copy,[status(esa)],[c_3862]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21785,plain,
% 169.38/170.72 ( ~ class_HOL_Oone(X0)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.72 | ~ c_lessequals(c_uminus(c_1,X0),X1,X0)
% 169.38/170.72 | c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 169.38/170.72 inference(rewriting,[status(thm)],[c_21784]) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_3858,plain,
% 169.38/170.72 ( c_less(c_1,c_uminus(X0,X1),X1)
% 169.38/170.72 | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.72 | ~ class_HOL_Oone(X1) ),
% 169.38/170.72 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11908_3) ).
% 169.38/170.72
% 169.38/170.72 cnf(c_21776,plain,
% 169.38/170.72 ( c_less(c_1,c_uminus(X0,X1),X1)
% 169.38/170.72 | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 169.38/170.72 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.73 | ~ class_HOL_Oone(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3858]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21777,plain,
% 169.38/170.73 ( ~ class_HOL_Oone(X0)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.73 | c_less(c_1,c_uminus(X1,X0),X0)
% 169.38/170.73 | ~ c_less(X1,c_uminus(c_1,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21776]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3854,plain,
% 169.38/170.73 ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.73 | ~ class_HOL_Oone(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11909_3) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21768,plain,
% 169.38/170.73 ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 169.38/170.73 | ~ class_HOL_Oone(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3854]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21769,plain,
% 169.38/170.73 ( ~ class_HOL_Oone(X0)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.73 | c_lessequals(c_1,c_uminus(X1,X0),X0)
% 169.38/170.73 | ~ c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21768]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3851,plain,
% 169.38/170.73 ( c_divide(X0,c_uminus(X1,X2),X2) = c_uminus(c_divide(X0,X1,X2),X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11916_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21762,plain,
% 169.38/170.73 ( c_divide(X0,c_uminus(X1,X2),X2) = c_uminus(c_divide(X0,X1,X2),X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3851]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21763,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_divide(X1,c_uminus(X2,X0),X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21762]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3849,plain,
% 169.38/170.73 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.73 | ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11922_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21758,plain,
% 169.38/170.73 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.73 | ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3849]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21759,plain,
% 169.38/170.73 ( ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 169.38/170.73 | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21758]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3843,plain,
% 169.38/170.73 ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_ONil
% 169.38/170.73 | c_in(c_0,X2,tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11926_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21746,plain,
% 169.38/170.73 ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_ONil
% 169.38/170.73 | c_in(c_0,X2,tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3843]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21747,plain,
% 169.38/170.73 ( c_in(c_0,X0,tc_nat)
% 169.38/170.73 | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_ONil ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21746]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3842,plain,
% 169.38/170.73 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.73 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11933_0) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21744,plain,
% 169.38/170.73 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.73 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3842]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3840,plain,
% 169.38/170.73 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.73 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11933_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21740,plain,
% 169.38/170.73 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.73 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3840]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21741,plain,
% 169.38/170.73 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.73 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21740]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3839,plain,
% 169.38/170.73 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.73 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.73 | c_Parity_Oeven(X0,tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11934_0) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21738,plain,
% 169.38/170.73 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.73 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.73 | c_Parity_Oeven(X0,tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3839]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3837,plain,
% 169.38/170.73 ( c_Parity_Oeven(X0,tc_nat)
% 169.38/170.73 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.73 | ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11934_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21734,plain,
% 169.38/170.73 ( c_Parity_Oeven(X0,tc_nat)
% 169.38/170.73 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.73 | ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3837]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21735,plain,
% 169.38/170.73 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.73 | c_Parity_Oeven(X0,tc_nat)
% 169.38/170.73 | c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21734]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3835,plain,
% 169.38/170.73 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | 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)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11935_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21730,plain,
% 169.38/170.73 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | 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)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3835]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21731,plain,
% 169.38/170.73 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | 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) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21730]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3828,plain,
% 169.38/170.73 ( c_times(X0,c_uminus(X1,X2),X2) = c_uminus(c_times(X0,X1,X2),X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Oring(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11937_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21716,plain,
% 169.38/170.73 ( c_times(X0,c_uminus(X1,X2),X2) = c_uminus(c_times(X0,X1,X2),X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Oring(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3828]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21717,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oring(X0)
% 169.38/170.73 | c_times(X1,c_uminus(X2,X0),X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21716]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3826,plain,
% 169.38/170.73 ( c_times(c_uminus(X0,X1),X2,X1) = c_uminus(c_times(X0,X2,X1),X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oring(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11938_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21712,plain,
% 169.38/170.73 ( c_times(c_uminus(X0,X1),X2,X1) = c_uminus(c_times(X0,X2,X1),X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oring(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3826]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21713,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oring(X0)
% 169.38/170.73 | c_times(c_uminus(X1,X0),X2,X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21712]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3824,plain,
% 169.38/170.73 ( c_divide(c_uminus(X0,X1),X2,X1) = c_uminus(c_divide(X0,X2,X1),X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11939_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21708,plain,
% 169.38/170.73 ( c_divide(c_uminus(X0,X1),X2,X1) = c_uminus(c_divide(X0,X2,X1),X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3824]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21709,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_divide(c_uminus(X1,X0),X2,X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21708]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3822,plain,
% 169.38/170.73 ( 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
% 169.38/170.73 | ~ class_Power_Orecpower(X0) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11940_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21704,plain,
% 169.38/170.73 ( 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
% 169.38/170.73 | ~ class_Power_Orecpower(X0) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3822]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21705,plain,
% 169.38/170.73 ( ~ class_Power_Orecpower(X0)
% 169.38/170.73 | 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 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21704]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3820,plain,
% 169.38/170.73 ( 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
% 169.38/170.73 | ~ class_Power_Orecpower(X0) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11941_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21700,plain,
% 169.38/170.73 ( 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
% 169.38/170.73 | ~ class_Power_Orecpower(X0) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3820]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21701,plain,
% 169.38/170.73 ( ~ class_Power_Orecpower(X0)
% 169.38/170.73 | 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 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21700]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3813,plain,
% 169.38/170.73 ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 169.38/170.73 | ~ c_lessequals(X0,X2,X1)
% 169.38/170.73 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11943_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21686,plain,
% 169.38/170.73 ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 169.38/170.73 | ~ c_lessequals(X0,X2,X1)
% 169.38/170.73 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3813]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21687,plain,
% 169.38/170.73 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.73 | c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 169.38/170.73 | ~ c_lessequals(X1,X2,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21686]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3810,plain,
% 169.38/170.73 ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 169.38/170.73 | ~ c_lessequals(X2,X0,X1)
% 169.38/170.73 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11944_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21680,plain,
% 169.38/170.73 ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 169.38/170.73 | ~ c_lessequals(X2,X0,X1)
% 169.38/170.73 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3810]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21681,plain,
% 169.38/170.73 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.73 | c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 169.38/170.73 | ~ c_lessequals(X2,X1,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21680]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3807,plain,
% 169.38/170.73 ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 169.38/170.73 | ~ c_lessequals(X0,X2,X1)
% 169.38/170.73 | ~ class_Orderings_Oorder(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11945_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21674,plain,
% 169.38/170.73 ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 169.38/170.73 | ~ c_lessequals(X0,X2,X1)
% 169.38/170.73 | ~ class_Orderings_Oorder(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3807]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21675,plain,
% 169.38/170.73 ( ~ class_Orderings_Oorder(X0)
% 169.38/170.73 | c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 169.38/170.73 | ~ c_lessequals(X1,X2,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21674]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3804,plain,
% 169.38/170.73 ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 169.38/170.73 | ~ c_lessequals(X2,X0,X1)
% 169.38/170.73 | ~ class_Orderings_Oorder(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11946_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21668,plain,
% 169.38/170.73 ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 169.38/170.73 | ~ c_lessequals(X2,X0,X1)
% 169.38/170.73 | ~ class_Orderings_Oorder(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3804]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21669,plain,
% 169.38/170.73 ( ~ class_Orderings_Oorder(X0)
% 169.38/170.73 | c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 169.38/170.73 | ~ c_lessequals(X2,X1,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21668]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3802,plain,
% 169.38/170.73 ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = X0
% 169.38/170.73 | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11947_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21664,plain,
% 169.38/170.73 ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = X0
% 169.38/170.73 | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3802]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21665,plain,
% 169.38/170.73 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.38/170.73 | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = X1 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21664]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3800,plain,
% 169.38/170.73 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 169.38/170.73 | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11948_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21660,plain,
% 169.38/170.73 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 169.38/170.73 | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3800]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21661,plain,
% 169.38/170.73 ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 169.38/170.73 | c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21660]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3798,plain,
% 169.38/170.73 ( c_List_Odistinct(X0,X1)
% 169.38/170.73 | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11949_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21656,plain,
% 169.38/170.73 ( c_List_Odistinct(X0,X1)
% 169.38/170.73 | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3798]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21657,plain,
% 169.38/170.73 ( ~ c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 169.38/170.73 | c_List_Odistinct(X1,X2) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21656]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3796,plain,
% 169.38/170.73 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11950_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21652,plain,
% 169.38/170.73 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3796]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21653,plain,
% 169.38/170.73 ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X1,X2) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21652]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3794,plain,
% 169.38/170.73 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11951_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21648,plain,
% 169.38/170.73 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3794]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21649,plain,
% 169.38/170.73 ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X0,X2) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21648]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3792,plain,
% 169.38/170.73 ( c_List_Odistinct(X0,X1)
% 169.38/170.73 | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11952_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21644,plain,
% 169.38/170.73 ( c_List_Odistinct(X0,X1)
% 169.38/170.73 | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3792]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21645,plain,
% 169.38/170.73 ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.38/170.73 | c_List_Odistinct(X1,X2) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21644]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3790,plain,
% 169.38/170.73 ( c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil
% 169.38/170.73 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11953_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21640,plain,
% 169.38/170.73 ( c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil
% 169.38/170.73 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3790]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21641,plain,
% 169.38/170.73 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.38/170.73 | c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21640]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3784,plain,
% 169.38/170.73 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | 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)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11955_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21628,plain,
% 169.38/170.73 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | 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)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3784]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21629,plain,
% 169.38/170.73 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | 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) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21628]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3781,plain,
% 169.38/170.73 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | 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)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11956_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21622,plain,
% 169.38/170.73 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | 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)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3781]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21623,plain,
% 169.38/170.73 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | 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) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21622]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3778,plain,
% 169.38/170.73 ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 169.38/170.73 | X0 = c_List_Olist_ONil ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11957_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21616,plain,
% 169.38/170.73 ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 169.38/170.73 | X0 = c_List_Olist_ONil ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3778]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3776,plain,
% 169.38/170.73 ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.38/170.73 | X1 = c_List_Olist_ONil ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11958_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21612,plain,
% 169.38/170.73 ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 169.38/170.73 | X1 = c_List_Olist_ONil ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3776]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3774,plain,
% 169.38/170.73 ( X0 = c_0
% 169.38/170.73 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11959_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21608,plain,
% 169.38/170.73 ( X0 = c_0
% 169.38/170.73 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3774]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21609,plain,
% 169.38/170.73 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | X0 = c_0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21608]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3771,plain,
% 169.38/170.73 ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X0,X2,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11962_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21602,plain,
% 169.38/170.73 ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X0,X2,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3771]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21603,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.73 | c_lessequals(c_OrderedGroup_Opprt(X1,X0),c_OrderedGroup_Opprt(X2,X0),X0)
% 169.38/170.73 | ~ c_lessequals(X1,X2,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21602]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3768,plain,
% 169.38/170.73 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X0,X2,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11963_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21596,plain,
% 169.38/170.73 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X0,X2,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3768]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21597,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.73 | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_OrderedGroup_Onprt(X2,X0),X0)
% 169.38/170.73 | ~ c_lessequals(X1,X2,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21596]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3765,plain,
% 169.38/170.73 ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 169.38/170.73 | ~ c_less(X2,X0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11964_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21590,plain,
% 169.38/170.73 ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 169.38/170.73 | ~ c_less(X2,X0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3765]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21591,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.73 | c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 169.38/170.73 | ~ c_less(X2,X1,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21590]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3762,plain,
% 169.38/170.73 ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X2,X0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11965_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21584,plain,
% 169.38/170.73 ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X2,X0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3762]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21585,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.73 | c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 169.38/170.73 | ~ c_lessequals(X2,X1,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21584]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3756,plain,
% 169.38/170.73 ( c_List_Otake(X0,X1,X2) = X1
% 169.38/170.73 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11967_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21572,plain,
% 169.38/170.73 ( c_List_Otake(X0,X1,X2) = X1
% 169.38/170.73 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3756]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21573,plain,
% 169.38/170.73 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 169.38/170.73 | c_List_Otake(X2,X0,X1) = X0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21572]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3754,plain,
% 169.38/170.73 ( c_List_Orotate(X0,X1,X2) = X1
% 169.38/170.73 | c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0 ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11968_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21568,plain,
% 169.38/170.73 ( c_List_Orotate(X0,X1,X2) = X1
% 169.38/170.73 | c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0 ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3754]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21569,plain,
% 169.38/170.73 ( c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0
% 169.38/170.73 | c_List_Orotate(X0,X1,X2) = X1 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21568]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3752,plain,
% 169.38/170.73 ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil
% 169.38/170.73 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11969_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21564,plain,
% 169.38/170.73 ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil
% 169.38/170.73 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3752]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21565,plain,
% 169.38/170.73 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 169.38/170.73 | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21564]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3745,plain,
% 169.38/170.73 ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 169.38/170.73 | ~ c_less(X0,X2,tc_nat)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11972_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21550,plain,
% 169.38/170.73 ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 169.38/170.73 | ~ c_less(X0,X2,tc_nat)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3745]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21551,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.38/170.73 | c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 169.38/170.73 | ~ c_less(X1,X2,tc_nat) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21550]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3742,plain,
% 169.38/170.73 ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X0,X2,tc_nat)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11973_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21544,plain,
% 169.38/170.73 ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X0,X2,tc_nat)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3742]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21545,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.38/170.73 | c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 169.38/170.73 | ~ c_lessequals(X1,X2,tc_nat) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21544]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3739,plain,
% 169.38/170.73 ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 169.38/170.73 | ~ c_less(X0,X2,tc_IntDef_Oint)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11974_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21538,plain,
% 169.38/170.73 ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 169.38/170.73 | ~ c_less(X0,X2,tc_IntDef_Oint)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3739]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21539,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.73 | c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 169.38/170.73 | ~ c_less(X1,X2,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21538]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3736,plain,
% 169.38/170.73 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11975_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21532,plain,
% 169.38/170.73 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3736]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21533,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.73 | c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 169.38/170.73 | ~ c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21532]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3734,plain,
% 169.38/170.73 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11976_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21528,plain,
% 169.38/170.73 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3734]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3728,plain,
% 169.38/170.73 ( c_List_Orotate(X0,X1,X2) = X1
% 169.38/170.73 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11978_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21516,plain,
% 169.38/170.73 ( c_List_Orotate(X0,X1,X2) = X1
% 169.38/170.73 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3728]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21517,plain,
% 169.38/170.73 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 169.38/170.73 | c_List_Orotate(X2,X0,X1) = X0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21516]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3724,plain,
% 169.38/170.73 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11981_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21508,plain,
% 169.38/170.73 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3724]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21509,plain,
% 169.38/170.73 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21508]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3722,plain,
% 169.38/170.73 ( c_Parity_Oeven(X0,tc_nat)
% 169.38/170.73 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11982_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21504,plain,
% 169.38/170.73 ( c_Parity_Oeven(X0,tc_nat)
% 169.38/170.73 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3722]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21505,plain,
% 169.38/170.73 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 169.38/170.73 | c_Parity_Oeven(X0,tc_nat) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21504]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3719,plain,
% 169.38/170.73 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 169.38/170.73 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.73 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11983_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21498,plain,
% 169.38/170.73 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 169.38/170.73 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.73 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3719]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21499,plain,
% 169.38/170.73 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.73 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 169.38/170.73 | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21498]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3709,plain,
% 169.38/170.73 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.73 | X1 = X0
% 169.38/170.73 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11986_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21478,plain,
% 169.38/170.73 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.73 | X1 = X0
% 169.38/170.73 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3709]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21479,plain,
% 169.38/170.73 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.73 | ~ c_lessequals(X1,X0,tc_set(X2))
% 169.38/170.73 | X1 = X0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21478]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3706,plain,
% 169.38/170.73 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 169.38/170.73 | ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11987_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21472,plain,
% 169.38/170.73 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 169.38/170.73 | ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3706]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21473,plain,
% 169.38/170.73 ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
% 169.38/170.73 | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21472]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3704,plain,
% 169.38/170.73 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 169.38/170.73 | ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oparts(X1),tc_Message_Omsg) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11988_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21468,plain,
% 169.38/170.73 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 169.38/170.73 | ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oparts(X1),tc_Message_Omsg) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3704]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21469,plain,
% 169.38/170.73 ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
% 169.38/170.73 | c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21468]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3702,plain,
% 169.38/170.73 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 169.38/170.73 | ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11989_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21464,plain,
% 169.38/170.73 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 169.38/170.73 | ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3702]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21465,plain,
% 169.38/170.73 ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
% 169.38/170.73 | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21464]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3684,plain,
% 169.38/170.73 ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11994_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21428,plain,
% 169.38/170.73 ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3684]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3682,plain,
% 169.38/170.73 ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 169.38/170.73 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11995_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21424,plain,
% 169.38/170.73 ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 169.38/170.73 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3682]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3675,plain,
% 169.38/170.73 ( c_HOL_Oinverse(c_divide(X0,X1,X2),X2) = c_divide(X1,X0,X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11998_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21410,plain,
% 169.38/170.73 ( c_HOL_Oinverse(c_divide(X0,X1,X2),X2) = c_divide(X1,X0,X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3675]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21411,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_HOL_Oinverse(c_divide(X1,X2,X0),X0) = c_divide(X2,X1,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21410]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3670,plain,
% 169.38/170.73 ( X0 = c_0
% 169.38/170.73 | X1 = X2
% 169.38/170.73 | c_divide(X1,X0,X3) != c_divide(X2,X0,X3)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X3)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11999_4) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21400,plain,
% 169.38/170.73 ( X0 = c_0
% 169.38/170.73 | X1 = X2
% 169.38/170.73 | c_divide(X1,X0,X3) != c_divide(X2,X0,X3)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X3)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3670]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21401,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_divide(X1,X2,X0) != c_divide(X3,X2,X0)
% 169.38/170.73 | X2 = c_0
% 169.38/170.73 | X1 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21400]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3665,plain,
% 169.38/170.73 ( X0 = c_0
% 169.38/170.73 | X1 = X2
% 169.38/170.73 | c_divide(X0,X1,X3) != c_divide(X0,X2,X3)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X3)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12000_4) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21390,plain,
% 169.38/170.73 ( X0 = c_0
% 169.38/170.73 | X1 = X2
% 169.38/170.73 | c_divide(X0,X1,X3) != c_divide(X0,X2,X3)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X3)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3665]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21391,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_divide(X1,X2,X0) != c_divide(X1,X3,X0)
% 169.38/170.73 | X1 = c_0
% 169.38/170.73 | X2 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21390]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3662,plain,
% 169.38/170.73 ( c_less(X0,X1,X2)
% 169.38/170.73 | ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12001_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21384,plain,
% 169.38/170.73 ( c_less(X0,X1,X2)
% 169.38/170.73 | ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3662]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21385,plain,
% 169.38/170.73 ( ~ class_Orderings_Oord(X0)
% 169.38/170.73 | c_less(X1,X2,X0)
% 169.38/170.73 | ~ c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21384]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3659,plain,
% 169.38/170.73 ( c_less(X0,X1,X2)
% 169.38/170.73 | ~ c_in(X1,c_SetInterval_OgreaterThan(X0,X2),X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12002_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21378,plain,
% 169.38/170.73 ( c_less(X0,X1,X2)
% 169.38/170.73 | ~ c_in(X1,c_SetInterval_OgreaterThan(X0,X2),X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3659]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21379,plain,
% 169.38/170.73 ( ~ class_Orderings_Oord(X0)
% 169.38/170.73 | c_less(X1,X2,X0)
% 169.38/170.73 | ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21378]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3656,plain,
% 169.38/170.73 ( c_lessequals(X0,X1,X2)
% 169.38/170.73 | ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12003_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21372,plain,
% 169.38/170.73 ( c_lessequals(X0,X1,X2)
% 169.38/170.73 | ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3656]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21373,plain,
% 169.38/170.73 ( ~ class_Orderings_Oord(X0)
% 169.38/170.73 | c_lessequals(X1,X2,X0)
% 169.38/170.73 | ~ c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21372]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3653,plain,
% 169.38/170.73 ( c_lessequals(X0,X1,X2)
% 169.38/170.73 | ~ c_in(X1,c_SetInterval_OatLeast(X0,X2),X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12004_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21366,plain,
% 169.38/170.73 ( c_lessequals(X0,X1,X2)
% 169.38/170.73 | ~ c_in(X1,c_SetInterval_OatLeast(X0,X2),X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3653]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21367,plain,
% 169.38/170.73 ( ~ class_Orderings_Oord(X0)
% 169.38/170.73 | c_lessequals(X1,X2,X0)
% 169.38/170.73 | ~ c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21366]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3647,plain,
% 169.38/170.73 ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12006_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21354,plain,
% 169.38/170.73 ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3647]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21355,plain,
% 169.38/170.73 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21354]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3641,plain,
% 169.38/170.73 ( c_less(c_0,X0,X1)
% 169.38/170.73 | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12008_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21342,plain,
% 169.38/170.73 ( c_less(c_0,X0,X1)
% 169.38/170.73 | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3641]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21343,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.73 | c_less(c_0,X1,X0)
% 169.38/170.73 | ~ c_less(c_uminus(X1,X0),c_0,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21342]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3638,plain,
% 169.38/170.73 ( c_lessequals(c_0,X0,X1)
% 169.38/170.73 | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12009_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21336,plain,
% 169.38/170.73 ( c_lessequals(c_0,X0,X1)
% 169.38/170.73 | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3638]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21337,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.73 | c_lessequals(c_0,X1,X0)
% 169.38/170.73 | ~ c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21336]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3635,plain,
% 169.38/170.73 ( c_less(X0,c_0,X1)
% 169.38/170.73 | ~ c_less(c_0,c_uminus(X0,X1),X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12010_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21330,plain,
% 169.38/170.73 ( c_less(X0,c_0,X1)
% 169.38/170.73 | ~ c_less(c_0,c_uminus(X0,X1),X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3635]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21331,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.73 | ~ c_less(c_0,c_uminus(X1,X0),X0)
% 169.38/170.73 | c_less(X1,c_0,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21330]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3632,plain,
% 169.38/170.73 ( c_lessequals(X0,c_0,X1)
% 169.38/170.73 | ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12011_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21324,plain,
% 169.38/170.73 ( c_lessequals(X0,c_0,X1)
% 169.38/170.73 | ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3632]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21325,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.73 | ~ c_lessequals(c_0,c_uminus(X1,X0),X0)
% 169.38/170.73 | c_lessequals(X1,c_0,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21324]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3629,plain,
% 169.38/170.73 ( c_less(c_0,X0,tc_nat)
% 169.38/170.73 | ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12014_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21318,plain,
% 169.38/170.73 ( c_less(c_0,X0,tc_nat)
% 169.38/170.73 | ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3629]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21319,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.38/170.73 | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 169.38/170.73 | c_less(c_0,X1,tc_nat) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21318]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3626,plain,
% 169.38/170.73 ( c_less(X0,c_0,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12015_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21312,plain,
% 169.38/170.73 ( c_less(X0,c_0,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3626]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21313,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.73 | ~ c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 169.38/170.73 | c_less(X1,c_0,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21312]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3623,plain,
% 169.38/170.73 ( c_lessequals(X0,c_0,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12016_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21306,plain,
% 169.38/170.73 ( c_lessequals(X0,c_0,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3623]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21307,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.73 | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 169.38/170.73 | c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21306]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3620,plain,
% 169.38/170.73 ( c_less(c_0,X0,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12017_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21300,plain,
% 169.38/170.73 ( c_less(c_0,X0,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3620]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21301,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.73 | ~ c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 169.38/170.73 | c_less(c_0,X1,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21300]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3617,plain,
% 169.38/170.73 ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12018_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21294,plain,
% 169.38/170.73 ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3617]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21295,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.73 | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 169.38/170.73 | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21294]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3607,plain,
% 169.38/170.73 ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12021_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21274,plain,
% 169.38/170.73 ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3607]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21275,plain,
% 169.38/170.73 ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21274]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3605,plain,
% 169.38/170.73 ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
% 169.38/170.73 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12022_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21270,plain,
% 169.38/170.73 ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
% 169.38/170.73 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3605]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21271,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.38/170.73 | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21270]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3601,plain,
% 169.38/170.73 ( X0 = c_0
% 169.38/170.73 | X1 = X2
% 169.38/170.73 | c_times(X1,X0,X3) != c_times(X2,X0,X3)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12023_3) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21262,plain,
% 169.38/170.73 ( X0 = c_0
% 169.38/170.73 | X1 = X2
% 169.38/170.73 | c_times(X1,X0,X3) != c_times(X2,X0,X3)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3601]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21263,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_times(X1,X2,X0) != c_times(X3,X2,X0)
% 169.38/170.73 | X2 = c_0
% 169.38/170.73 | X1 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21262]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3597,plain,
% 169.38/170.73 ( X0 = c_0
% 169.38/170.73 | X1 = X2
% 169.38/170.73 | c_times(X0,X1,X3) != c_times(X0,X2,X3)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12024_3) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21254,plain,
% 169.38/170.73 ( X0 = c_0
% 169.38/170.73 | X1 = X2
% 169.38/170.73 | c_times(X0,X1,X3) != c_times(X0,X2,X3)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3597]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21255,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_times(X1,X2,X0) != c_times(X1,X3,X0)
% 169.38/170.73 | X1 = c_0
% 169.38/170.73 | X2 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21254]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3594,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_plus(X0,X2,X3) != c_plus(X1,X2,X3)
% 169.38/170.73 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12027_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21248,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_plus(X0,X2,X3) != c_plus(X1,X2,X3)
% 169.38/170.73 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3594]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21249,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.38/170.73 | c_plus(X1,X2,X0) != c_plus(X3,X2,X0)
% 169.38/170.73 | X1 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21248]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3591,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_plus(X2,X0,X3) != c_plus(X2,X1,X3)
% 169.38/170.73 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12028_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21242,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_plus(X2,X0,X3) != c_plus(X2,X1,X3)
% 169.38/170.73 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3591]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21243,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.38/170.73 | c_plus(X1,X2,X0) != c_plus(X1,X3,X0)
% 169.38/170.73 | X2 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21242]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3585,plain,
% 169.38/170.73 ( X0 = c_List_Olist_ONil
% 169.38/170.73 | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 169.38/170.73 | ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12030_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21230,plain,
% 169.38/170.73 ( X0 = c_List_Olist_ONil
% 169.38/170.73 | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 169.38/170.73 | ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3585]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21231,plain,
% 169.38/170.73 ( ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
% 169.38/170.73 | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 169.38/170.73 | X0 = c_List_Olist_ONil ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21230]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3581,plain,
% 169.38/170.73 ( c_times(X0,c_divide(X1,X0,X2),X2) = X1
% 169.38/170.73 | X0 = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12031_3) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21222,plain,
% 169.38/170.73 ( c_times(X0,c_divide(X1,X0,X2),X2) = X1
% 169.38/170.73 | X0 = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3581]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21223,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_times(X1,c_divide(X2,X1,X0),X0) = X2
% 169.38/170.73 | X1 = c_0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21222]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3577,plain,
% 169.38/170.73 ( c_times(c_divide(X0,X1,X2),X1,X2) = X0
% 169.38/170.73 | X1 = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12032_3) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21214,plain,
% 169.38/170.73 ( c_times(c_divide(X0,X1,X2),X1,X2) = X0
% 169.38/170.73 | X1 = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3577]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21215,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_times(c_divide(X1,X2,X0),X2,X0) = X1
% 169.38/170.73 | X2 = c_0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21214]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3573,plain,
% 169.38/170.73 ( c_divide(c_times(X0,X1,X2),X1,X2) = X0
% 169.38/170.73 | X1 = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12033_3) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21206,plain,
% 169.38/170.73 ( c_divide(c_times(X0,X1,X2),X1,X2) = X0
% 169.38/170.73 | X1 = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3573]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21207,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_divide(c_times(X1,X2,X0),X2,X0) = X1
% 169.38/170.73 | X2 = c_0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21206]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3569,plain,
% 169.38/170.73 ( c_divide(c_times(X0,X1,X2),X0,X2) = X1
% 169.38/170.73 | X0 = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12034_3) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21198,plain,
% 169.38/170.73 ( c_divide(c_times(X0,X1,X2),X0,X2) = X1
% 169.38/170.73 | X0 = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3569]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21199,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_divide(c_times(X1,X2,X0),X1,X0) = X2
% 169.38/170.73 | X1 = c_0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21198]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3567,plain,
% 169.38/170.73 ( 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)
% 169.38/170.73 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12035_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21194,plain,
% 169.38/170.73 ( 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)
% 169.38/170.73 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3567]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21195,plain,
% 169.38/170.73 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.73 | 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) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21194]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3565,plain,
% 169.38/170.73 ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 169.38/170.73 | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12036_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21190,plain,
% 169.38/170.73 ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 169.38/170.73 | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3565]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3547,plain,
% 169.38/170.73 ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 169.38/170.73 | X0 = c_0 ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12043_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21154,plain,
% 169.38/170.73 ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 169.38/170.73 | X0 = c_0 ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3547]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3544,plain,
% 169.38/170.73 ( c_divide(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_divide(X0,X2,X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12045_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21148,plain,
% 169.38/170.73 ( c_divide(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_divide(X0,X2,X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3544]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21149,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_divide(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_divide(X1,X2,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21148]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3541,plain,
% 169.38/170.73 ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 169.38/170.73 | ~ c_less(X0,X1,X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12047_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21142,plain,
% 169.38/170.73 ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 169.38/170.73 | ~ c_less(X0,X1,X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3541]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21143,plain,
% 169.38/170.73 ( ~ class_Orderings_Oord(X0)
% 169.38/170.73 | ~ c_less(X1,X2,X0)
% 169.38/170.73 | c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21142]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3538,plain,
% 169.38/170.73 ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 169.38/170.73 | ~ c_less(X1,X0,X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12048_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21136,plain,
% 169.38/170.73 ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 169.38/170.73 | ~ c_less(X1,X0,X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3538]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21137,plain,
% 169.38/170.73 ( ~ class_Orderings_Oord(X0)
% 169.38/170.73 | ~ c_less(X1,X2,X0)
% 169.38/170.73 | c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21136]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3535,plain,
% 169.38/170.73 ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 169.38/170.73 | ~ c_lessequals(X0,X1,X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12049_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21130,plain,
% 169.38/170.73 ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 169.38/170.73 | ~ c_lessequals(X0,X1,X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3535]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21131,plain,
% 169.38/170.73 ( ~ class_Orderings_Oord(X0)
% 169.38/170.73 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.73 | c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21130]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3532,plain,
% 169.38/170.73 ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 169.38/170.73 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12050_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21124,plain,
% 169.38/170.73 ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 169.38/170.73 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.73 | ~ class_Orderings_Oord(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3532]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21125,plain,
% 169.38/170.73 ( ~ class_Orderings_Oord(X0)
% 169.38/170.73 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.73 | c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21124]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3530,plain,
% 169.38/170.73 ( c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat)
% 169.38/170.73 | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12052_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21120,plain,
% 169.38/170.73 ( c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat)
% 169.38/170.73 | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3530]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21121,plain,
% 169.38/170.73 ( ~ c_less(X0,X1,tc_nat)
% 169.38/170.73 | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21120]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3528,plain,
% 169.38/170.73 ( X0 = X1 | c_Sum__Type_OInr(X0,X2,X3) != c_Sum__Type_OInr(X1,X2,X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12053_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21116,plain,
% 169.38/170.73 ( X0 = X1 | c_Sum__Type_OInr(X0,X2,X3) != c_Sum__Type_OInr(X1,X2,X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3528]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21117,plain,
% 169.38/170.73 ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInr(X3,X1,X2) | X0 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21116]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3526,plain,
% 169.38/170.73 ( X0 = X1 | c_Sum__Type_OInl(X0,X2,X3) != c_Sum__Type_OInl(X1,X2,X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12054_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21112,plain,
% 169.38/170.73 ( X0 = X1 | c_Sum__Type_OInl(X0,X2,X3) != c_Sum__Type_OInl(X1,X2,X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3526]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21113,plain,
% 169.38/170.73 ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) | X0 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21112]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3520,plain,
% 169.38/170.73 ( X0 = X1 | c_append(X2,X0,X3) != c_append(X2,X1,X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12056_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21100,plain,
% 169.38/170.73 ( X0 = X1 | c_append(X2,X0,X3) != c_append(X2,X1,X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3520]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21101,plain,
% 169.38/170.73 ( c_append(X0,X1,X2) != c_append(X0,X3,X2) | X1 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21100]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3518,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12057_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21096,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3518]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21097,plain,
% 169.38/170.73 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 169.38/170.73 | X1 = X4 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21096]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3516,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12058_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21092,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3516]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21093,plain,
% 169.38/170.73 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 169.38/170.73 | X0 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21092]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3514,plain,
% 169.38/170.73 ( X0 = X1 | c_append(X0,X2,X3) != c_append(X1,X2,X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12059_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21088,plain,
% 169.38/170.73 ( X0 = X1 | c_append(X0,X2,X3) != c_append(X1,X2,X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3514]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21089,plain,
% 169.38/170.73 ( c_append(X0,X1,X2) != c_append(X3,X1,X2) | X0 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21088]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3512,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_Datatype__Universe_OIn1(X0,X2,X3) != c_Datatype__Universe_OIn1(X1,X2,X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12060_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21084,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_Datatype__Universe_OIn1(X0,X2,X3) != c_Datatype__Universe_OIn1(X1,X2,X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3512]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21085,plain,
% 169.38/170.73 ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2)
% 169.38/170.73 | X0 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21084]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3510,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_Datatype__Universe_OIn0(X0,X2,X3) != c_Datatype__Universe_OIn0(X1,X2,X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12061_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21080,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_Datatype__Universe_OIn0(X0,X2,X3) != c_Datatype__Universe_OIn0(X1,X2,X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3510]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21081,plain,
% 169.38/170.73 ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2)
% 169.38/170.73 | X0 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21080]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3508,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_Datatype__Universe_OAtom(X0,X2,X3) != c_Datatype__Universe_OAtom(X1,X2,X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12062_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21076,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_Datatype__Universe_OAtom(X0,X2,X3) != c_Datatype__Universe_OAtom(X1,X2,X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3508]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21077,plain,
% 169.38/170.73 ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OAtom(X3,X1,X2)
% 169.38/170.73 | X0 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21076]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3506,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_Datatype__Universe_ONumb(X0,X2,X3) != c_Datatype__Universe_ONumb(X1,X2,X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12063_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21072,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_Datatype__Universe_ONumb(X0,X2,X3) != c_Datatype__Universe_ONumb(X1,X2,X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3506]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21073,plain,
% 169.38/170.73 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2)
% 169.38/170.73 | X0 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21072]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3504,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_Datatype__Universe_OLeaf(X0,X2,X3) != c_Datatype__Universe_OLeaf(X1,X2,X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12064_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21068,plain,
% 169.38/170.73 ( X0 = X1
% 169.38/170.73 | c_Datatype__Universe_OLeaf(X0,X2,X3) != c_Datatype__Universe_OLeaf(X1,X2,X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3504]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21069,plain,
% 169.38/170.73 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2)
% 169.38/170.73 | X0 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21068]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3502,plain,
% 169.38/170.73 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12065_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21064,plain,
% 169.38/170.73 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3502]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21065,plain,
% 169.38/170.73 ( ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 169.38/170.73 | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21064]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3500,plain,
% 169.38/170.73 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12066_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21060,plain,
% 169.38/170.73 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 169.38/170.73 | ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3500]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21061,plain,
% 169.38/170.73 ( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21060]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3498,plain,
% 169.38/170.73 ( 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)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12071_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21056,plain,
% 169.38/170.73 ( 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)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3498]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21057,plain,
% 169.38/170.73 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | 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) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21056]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3495,plain,
% 169.38/170.73 ( c_times(c_0,c_divide(X0,c_0,X1),X1) = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12073_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21050,plain,
% 169.38/170.73 ( c_times(c_0,c_divide(X0,c_0,X1),X1) = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3495]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21051,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_times(c_0,c_divide(X1,c_0,X0),X0) = c_0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21050]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3492,plain,
% 169.38/170.73 ( c_times(c_divide(X0,c_0,X1),c_0,X1) = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12074_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21044,plain,
% 169.38/170.73 ( c_times(c_divide(X0,c_0,X1),c_0,X1) = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3492]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21045,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_times(c_divide(X1,c_0,X0),c_0,X0) = c_0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21044]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3489,plain,
% 169.38/170.73 ( c_divide(c_times(X0,c_0,X1),c_0,X1) = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12075_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21038,plain,
% 169.38/170.73 ( c_divide(c_times(X0,c_0,X1),c_0,X1) = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3489]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21039,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_divide(c_times(X1,c_0,X0),c_0,X0) = c_0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21038]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3486,plain,
% 169.38/170.73 ( c_divide(c_0,c_times(X0,c_0,X1),X1) = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12076_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21032,plain,
% 169.38/170.73 ( c_divide(c_0,c_times(X0,c_0,X1),X1) = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3486]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21033,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_divide(c_0,c_times(X1,c_0,X0),X0) = c_0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21032]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3483,plain,
% 169.38/170.73 ( c_divide(c_times(c_0,X0,X1),c_0,X1) = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12077_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21026,plain,
% 169.38/170.73 ( c_divide(c_times(c_0,X0,X1),c_0,X1) = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3483]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21027,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_divide(c_times(c_0,X1,X0),c_0,X0) = c_0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21026]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3480,plain,
% 169.38/170.73 ( c_divide(c_0,c_times(c_0,X0,X1),X1) = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12078_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21020,plain,
% 169.38/170.73 ( c_divide(c_0,c_times(c_0,X0,X1),X1) = c_0
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3480]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21021,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.73 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.73 | c_divide(c_0,c_times(c_0,X1,X0),X0) = c_0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21020]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3478,plain,
% 169.38/170.73 ( X0 = X1 | c_insert(X0,X2,X3) != c_insert(X1,c_emptyset,X3) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12085_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21016,plain,
% 169.38/170.73 ( X0 = X1 | c_insert(X0,X2,X3) != c_insert(X1,c_emptyset,X3) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3478]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21017,plain,
% 169.38/170.73 ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2) | X0 = X3 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21016]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3476,plain,
% 169.38/170.73 ( X0 = X1 | c_insert(X1,c_emptyset,X2) != c_insert(X0,X3,X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12086_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21012,plain,
% 169.38/170.73 ( X0 = X1 | c_insert(X1,c_emptyset,X2) != c_insert(X0,X3,X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3476]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21013,plain,
% 169.38/170.73 ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1) | X2 = X0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21012]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3473,plain,
% 169.38/170.73 ( c_less(c_uminus(X0,X1),c_0,X1)
% 169.38/170.73 | ~ c_less(c_0,X0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12089_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21006,plain,
% 169.38/170.73 ( c_less(c_uminus(X0,X1),c_0,X1)
% 169.38/170.73 | ~ c_less(c_0,X0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3473]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21007,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.73 | ~ c_less(c_0,X1,X0)
% 169.38/170.73 | c_less(c_uminus(X1,X0),c_0,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21006]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3470,plain,
% 169.38/170.73 ( c_lessequals(c_uminus(X0,X1),c_0,X1)
% 169.38/170.73 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12090_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21000,plain,
% 169.38/170.73 ( c_lessequals(c_uminus(X0,X1),c_0,X1)
% 169.38/170.73 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3470]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_21001,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.73 | ~ c_lessequals(c_0,X1,X0)
% 169.38/170.73 | c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_21000]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3467,plain,
% 169.38/170.73 ( c_less(c_0,c_uminus(X0,X1),X1)
% 169.38/170.73 | ~ c_less(X0,c_0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12091_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20994,plain,
% 169.38/170.73 ( c_less(c_0,c_uminus(X0,X1),X1)
% 169.38/170.73 | ~ c_less(X0,c_0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3467]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20995,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.73 | c_less(c_0,c_uminus(X1,X0),X0)
% 169.38/170.73 | ~ c_less(X1,c_0,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20994]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3464,plain,
% 169.38/170.73 ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12092_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20988,plain,
% 169.38/170.73 ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 169.38/170.73 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3464]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20989,plain,
% 169.38/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.38/170.73 | c_lessequals(c_0,c_uminus(X1,X0),X0)
% 169.38/170.73 | ~ c_lessequals(X1,c_0,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20988]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3461,plain,
% 169.38/170.73 ( X0 = c_0 | X1 = X2 | c_times(X1,X0,tc_nat) != c_times(X2,X0,tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12093_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20982,plain,
% 169.38/170.73 ( X0 = c_0 | X1 = X2 | c_times(X1,X0,tc_nat) != c_times(X2,X0,tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3461]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20983,plain,
% 169.38/170.73 ( c_times(X0,X1,tc_nat) != c_times(X2,X1,tc_nat) | X1 = c_0 | X0 = X2 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20982]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3458,plain,
% 169.38/170.73 ( X0 = c_0 | X1 = X2 | c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12094_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20976,plain,
% 169.38/170.73 ( X0 = c_0 | X1 = X2 | c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3458]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20977,plain,
% 169.38/170.73 ( c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) | X0 = c_0 | X1 = X2 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20976]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3455,plain,
% 169.38/170.73 ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 169.38/170.73 | ~ c_in(X0,c_IntDef_OInts,X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12095_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20970,plain,
% 169.38/170.73 ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 169.38/170.73 | ~ c_in(X0,c_IntDef_OInts,X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3455]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20971,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.38/170.73 | c_in(c_uminus(X1,X0),c_IntDef_OInts,X0)
% 169.38/170.73 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20970]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3445,plain,
% 169.38/170.73 ( X0 = X1 | c_plus(X0,X2,tc_nat) != c_plus(X1,X2,tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12100_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20950,plain,
% 169.38/170.73 ( X0 = X1 | c_plus(X0,X2,tc_nat) != c_plus(X1,X2,tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3445]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20951,plain,
% 169.38/170.73 ( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) | X0 = X2 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20950]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3443,plain,
% 169.38/170.73 ( X0 = X1 | c_plus(X2,X0,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12101_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20946,plain,
% 169.38/170.73 ( X0 = X1 | c_plus(X2,X0,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3443]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20947,plain,
% 169.38/170.73 ( c_plus(X0,X1,tc_nat) != c_plus(X0,X2,tc_nat) | X1 = X2 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20946]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3441,plain,
% 169.38/170.73 ( X0 = X1 | c_insert(X0,c_emptyset,X2) != c_insert(X1,c_emptyset,X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12102_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20942,plain,
% 169.38/170.73 ( X0 = X1 | c_insert(X0,c_emptyset,X2) != c_insert(X1,c_emptyset,X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3441]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20943,plain,
% 169.38/170.73 ( c_insert(X0,c_emptyset,X1) != c_insert(X2,c_emptyset,X1) | X0 = X2 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20942]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3438,plain,
% 169.38/170.73 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 169.38/170.73 | c_Numeral_Onumber__of(X0,X2) != c_Numeral_Onumber__of(X1,X2)
% 169.38/170.73 | ~ class_Numeral_Onumber__ring(X2) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12103_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20936,plain,
% 169.38/170.73 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 169.38/170.73 | c_Numeral_Onumber__of(X0,X2) != c_Numeral_Onumber__of(X1,X2)
% 169.38/170.73 | ~ class_Numeral_Onumber__ring(X2) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3438]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20937,plain,
% 169.38/170.73 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.73 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 169.38/170.73 | c_Numeral_Onumber__of(X1,X0) != c_Numeral_Onumber__of(X2,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20936]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3436,plain,
% 169.38/170.73 ( c_times(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_times(X0,X2,X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oring(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12104_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20932,plain,
% 169.38/170.73 ( c_times(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_times(X0,X2,X1)
% 169.38/170.73 | ~ class_Ring__and__Field_Oring(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3436]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20933,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oring(X0)
% 169.38/170.73 | c_times(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_times(X1,X2,X0) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20932]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3433,plain,
% 169.38/170.73 ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 169.38/170.73 | ~ c_less(c_0,X0,tc_nat)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12105_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20926,plain,
% 169.38/170.73 ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 169.38/170.73 | ~ c_less(c_0,X0,tc_nat)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3433]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20927,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.38/170.73 | c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 169.38/170.73 | ~ c_less(c_0,X1,tc_nat) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20926]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3430,plain,
% 169.38/170.73 ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.38/170.73 | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12106_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20920,plain,
% 169.38/170.73 ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.38/170.73 | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3430]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20921,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.73 | c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 169.38/170.73 | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20920]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3427,plain,
% 169.38/170.73 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.38/170.73 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12107_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20914,plain,
% 169.38/170.73 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 169.38/170.73 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3427]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20915,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.73 | c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 169.38/170.73 | ~ c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20914]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3424,plain,
% 169.38/170.73 ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.38/170.73 | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12108_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20908,plain,
% 169.38/170.73 ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.38/170.73 | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3424]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20909,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.73 | c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 169.38/170.73 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20908]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3421,plain,
% 169.38/170.73 ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.38/170.73 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12109_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20902,plain,
% 169.38/170.73 ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 169.38/170.73 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 169.38/170.73 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3421]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20903,plain,
% 169.38/170.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.73 | c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 169.38/170.73 | ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20902]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3419,plain,
% 169.38/170.73 ( 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)
% 169.38/170.73 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12110_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20898,plain,
% 169.38/170.73 ( 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)
% 169.38/170.73 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3419]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20899,plain,
% 169.38/170.73 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | 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) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20898]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3416,plain,
% 169.38/170.73 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12111_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20892,plain,
% 169.38/170.73 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3416]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3412,plain,
% 169.38/170.73 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12112_2) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20884,plain,
% 169.38/170.73 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3412]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3409,plain,
% 169.38/170.73 ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0
% 169.38/170.73 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12113_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20878,plain,
% 169.38/170.73 ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0
% 169.38/170.73 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3409]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20879,plain,
% 169.38/170.73 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 169.38/170.73 | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0 ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20878]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3407,plain,
% 169.38/170.73 ( 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)
% 169.38/170.73 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12116_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20874,plain,
% 169.38/170.73 ( 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)
% 169.38/170.73 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3407]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20875,plain,
% 169.38/170.73 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.73 | 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) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20874]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3405,plain,
% 169.38/170.73 ( 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)
% 169.38/170.73 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12117_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20870,plain,
% 169.38/170.73 ( 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)
% 169.38/170.73 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3405]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20871,plain,
% 169.38/170.73 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.73 | 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) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20870]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3403,plain,
% 169.38/170.73 ( 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)
% 169.38/170.73 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12118_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20866,plain,
% 169.38/170.73 ( 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)
% 169.38/170.73 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3403]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20867,plain,
% 169.38/170.73 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.73 | 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) ),
% 169.38/170.73 inference(rewriting,[status(thm)],[c_20866]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_3401,plain,
% 169.38/170.73 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.38/170.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12119_1) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20862,plain,
% 169.38/170.73 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.73 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.38/170.73 inference(copy,[status(esa)],[c_3401]) ).
% 169.38/170.73
% 169.38/170.73 cnf(c_20863,plain,
% 169.38/170.73 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.73 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20862]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3395,plain,
% 169.38/170.74 ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 169.38/170.74 | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12122_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20850,plain,
% 169.38/170.74 ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 169.38/170.74 | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3395]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20851,plain,
% 169.38/170.74 ( c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint) != c_0
% 169.38/170.74 | c_times(X1,c_Main_Ozmod__eq__0D__dest__1(X1,X0),tc_IntDef_Oint) = X0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20850]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3393,plain,
% 169.38/170.74 ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 169.38/170.74 | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12123_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20846,plain,
% 169.38/170.74 ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 169.38/170.74 | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3393]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20847,plain,
% 169.38/170.74 ( c_Divides_Oop_Amod(X0,X1,tc_nat) != c_0
% 169.38/170.74 | c_times(X1,c_Main_Omod__eq__0D__dest__1(X1,X0),tc_nat) = X0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20846]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3391,plain,
% 169.38/170.74 ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12129_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20842,plain,
% 169.38/170.74 ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3391]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3389,plain,
% 169.38/170.74 ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12130_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20838,plain,
% 169.38/170.74 ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3389]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3387,plain,
% 169.38/170.74 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 169.38/170.74 | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X0,X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12139_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20834,plain,
% 169.38/170.74 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 169.38/170.74 | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X0,X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3387]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20835,plain,
% 169.38/170.74 ( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_List_Orev(X2,X1)
% 169.38/170.74 | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20834]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3385,plain,
% 169.38/170.74 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 169.38/170.74 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12140_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20830,plain,
% 169.38/170.74 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 169.38/170.74 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3385]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20831,plain,
% 169.38/170.74 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X1)
% 169.38/170.74 | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X1) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20830]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3383,plain,
% 169.38/170.74 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 169.38/170.74 | X0 = c_0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12141_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20826,plain,
% 169.38/170.74 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 169.38/170.74 | X0 = c_0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3383]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3381,plain,
% 169.38/170.74 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12142_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20822,plain,
% 169.38/170.74 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3381]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3378,plain,
% 169.38/170.74 ( X0 = X1 | c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12143_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20816,plain,
% 169.38/170.74 ( X0 = X1 | c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3378]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20817,plain,
% 169.38/170.74 ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_less(X0,X1,tc_set(X2)) | X0 = X1 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20816]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3375,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12145_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20810,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3375]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3372,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.74 | ~ c_Parity_Oeven(X0,tc_nat)
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12146_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20804,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.74 | ~ c_Parity_Oeven(X0,tc_nat)
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3372]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3369,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12147_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20798,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3369]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3367,plain,
% 169.38/170.74 ( X0 = c_0 | c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12148_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20794,plain,
% 169.38/170.74 ( X0 = c_0 | c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3367]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20795,plain,
% 169.38/170.74 ( c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) | X0 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20794]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3365,plain,
% 169.38/170.74 ( c_minus(X0,X1,tc_set(X2)) = c_emptyset
% 169.38/170.74 | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12161_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20790,plain,
% 169.38/170.74 ( c_minus(X0,X1,tc_set(X2)) = c_emptyset
% 169.38/170.74 | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3365]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20791,plain,
% 169.38/170.74 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.74 | c_minus(X0,X1,tc_set(X2)) = c_emptyset ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20790]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3363,plain,
% 169.38/170.74 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.74 | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12162_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20786,plain,
% 169.38/170.74 ( c_lessequals(X0,X1,tc_set(X2))
% 169.38/170.74 | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3363]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3361,plain,
% 169.38/170.74 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12163_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20782,plain,
% 169.38/170.74 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3361]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3359,plain,
% 169.38/170.74 ( c_List_Orotate1(X0,X1) = X0
% 169.38/170.74 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12164_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20778,plain,
% 169.38/170.74 ( c_List_Orotate1(X0,X1) = X0
% 169.38/170.74 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3359]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20779,plain,
% 169.38/170.74 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 169.38/170.74 | c_List_Orotate1(X0,X1) = X0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20778]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3357,plain,
% 169.38/170.74 ( c_less(X0,X1,tc_nat) | ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12165_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20774,plain,
% 169.38/170.74 ( c_less(X0,X1,tc_nat) | ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3357]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20775,plain,
% 169.38/170.74 ( ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) | c_less(X0,X1,tc_nat) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20774]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3355,plain,
% 169.38/170.74 ( c_lessequals(X0,X1,tc_nat)
% 169.38/170.74 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12166_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20770,plain,
% 169.38/170.74 ( c_lessequals(X0,X1,tc_nat)
% 169.38/170.74 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3355]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20771,plain,
% 169.38/170.74 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 169.38/170.74 | c_lessequals(X0,X1,tc_nat) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20770]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3353,plain,
% 169.38/170.74 ( c_less(X0,X1,tc_IntDef_Oint)
% 169.38/170.74 | ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12167_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20766,plain,
% 169.38/170.74 ( c_less(X0,X1,tc_IntDef_Oint)
% 169.38/170.74 | ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3353]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20767,plain,
% 169.38/170.74 ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 169.38/170.74 | c_less(X0,X1,tc_IntDef_Oint) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20766]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3351,plain,
% 169.38/170.74 ( c_less(X0,X1,tc_nat)
% 169.38/170.74 | ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12168_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20762,plain,
% 169.38/170.74 ( c_less(X0,X1,tc_nat)
% 169.38/170.74 | ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3351]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20763,plain,
% 169.38/170.74 ( ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 169.38/170.74 | c_less(X0,X1,tc_nat) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20762]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3349,plain,
% 169.38/170.74 ( c_lessequals(X0,X1,tc_nat)
% 169.38/170.74 | ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12169_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20758,plain,
% 169.38/170.74 ( c_lessequals(X0,X1,tc_nat)
% 169.38/170.74 | ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3349]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20759,plain,
% 169.38/170.74 ( ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 169.38/170.74 | c_lessequals(X0,X1,tc_nat) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20758]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3347,plain,
% 169.38/170.74 ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12170_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20754,plain,
% 169.38/170.74 ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3347]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20755,plain,
% 169.38/170.74 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20754]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3345,plain,
% 169.38/170.74 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12171_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20750,plain,
% 169.38/170.74 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3345]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20751,plain,
% 169.38/170.74 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20750]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3343,plain,
% 169.38/170.74 ( c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12172_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20746,plain,
% 169.38/170.74 ( c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3343]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20747,plain,
% 169.38/170.74 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20746]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3341,plain,
% 169.38/170.74 ( c_less(c_0,X0,tc_IntDef_Oint)
% 169.38/170.74 | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12173_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20742,plain,
% 169.38/170.74 ( c_less(c_0,X0,tc_IntDef_Oint)
% 169.38/170.74 | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3341]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3339,plain,
% 169.38/170.74 ( 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)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12174_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20738,plain,
% 169.38/170.74 ( 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)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3339]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20739,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.74 | 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) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20738]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3337,plain,
% 169.38/170.74 ( 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)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12175_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20734,plain,
% 169.38/170.74 ( 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)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3337]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20735,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.74 | 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) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20734]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3331,plain,
% 169.38/170.74 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12180_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20722,plain,
% 169.38/170.74 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3331]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3324,plain,
% 169.38/170.74 ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12183_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20708,plain,
% 169.38/170.74 ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3324]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3322,plain,
% 169.38/170.74 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 169.38/170.74 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12184_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20704,plain,
% 169.38/170.74 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 169.38/170.74 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3322]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3320,plain,
% 169.38/170.74 ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12185_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20700,plain,
% 169.38/170.74 ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3320]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3318,plain,
% 169.38/170.74 ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12186_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20696,plain,
% 169.38/170.74 ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3318]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3311,plain,
% 169.38/170.74 ( c_SetInterval_OgreaterThanAtMost(X0,X1,X2) = c_emptyset
% 169.38/170.74 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.74 | ~ class_Orderings_Oorder(X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12189_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20682,plain,
% 169.38/170.74 ( c_SetInterval_OgreaterThanAtMost(X0,X1,X2) = c_emptyset
% 169.38/170.74 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.74 | ~ class_Orderings_Oorder(X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3311]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20683,plain,
% 169.38/170.74 ( ~ class_Orderings_Oorder(X0)
% 169.38/170.74 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.74 | c_SetInterval_OgreaterThanAtMost(X2,X1,X0) = c_emptyset ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20682]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3308,plain,
% 169.38/170.74 ( c_SetInterval_OatLeastLessThan(X0,X1,X2) = c_emptyset
% 169.38/170.74 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.74 | ~ class_Orderings_Oorder(X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12190_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20676,plain,
% 169.38/170.74 ( c_SetInterval_OatLeastLessThan(X0,X1,X2) = c_emptyset
% 169.38/170.74 | ~ c_lessequals(X1,X0,X2)
% 169.38/170.74 | ~ class_Orderings_Oorder(X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3308]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20677,plain,
% 169.38/170.74 ( ~ class_Orderings_Oorder(X0)
% 169.38/170.74 | ~ c_lessequals(X1,X2,X0)
% 169.38/170.74 | c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20676]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3305,plain,
% 169.38/170.74 ( c_SetInterval_OatLeastAtMost(X0,X1,X2) = c_emptyset
% 169.38/170.74 | ~ c_less(X1,X0,X2)
% 169.38/170.74 | ~ class_Orderings_Oorder(X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12191_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20670,plain,
% 169.38/170.74 ( c_SetInterval_OatLeastAtMost(X0,X1,X2) = c_emptyset
% 169.38/170.74 | ~ c_less(X1,X0,X2)
% 169.38/170.74 | ~ class_Orderings_Oorder(X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3305]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20671,plain,
% 169.38/170.74 ( ~ class_Orderings_Oorder(X0)
% 169.38/170.74 | ~ c_less(X1,X2,X0)
% 169.38/170.74 | c_SetInterval_OatLeastAtMost(X2,X1,X0) = c_emptyset ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20670]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3303,plain,
% 169.38/170.74 ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12192_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20666,plain,
% 169.38/170.74 ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3303]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3297,plain,
% 169.38/170.74 ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 169.38/170.74 | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12197_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20654,plain,
% 169.38/170.74 ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 169.38/170.74 | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3297]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3295,plain,
% 169.38/170.74 ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 169.38/170.74 | ~ c_List_Odistinct(X1,X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12198_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20650,plain,
% 169.38/170.74 ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 169.38/170.74 | ~ c_List_Odistinct(X1,X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3295]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3293,plain,
% 169.38/170.74 ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 169.38/170.74 | ~ c_List_Odistinct(X0,X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12199_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20646,plain,
% 169.38/170.74 ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 169.38/170.74 | ~ c_List_Odistinct(X0,X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3293]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3291,plain,
% 169.38/170.74 ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 169.38/170.74 | ~ c_List_Odistinct(X1,X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12200_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20642,plain,
% 169.38/170.74 ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 169.38/170.74 | ~ c_List_Odistinct(X1,X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3291]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3289,plain,
% 169.38/170.74 ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 169.38/170.74 | ~ c_List_Odistinct(X1,X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12201_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20638,plain,
% 169.38/170.74 ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 169.38/170.74 | ~ c_List_Odistinct(X1,X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3289]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3287,plain,
% 169.38/170.74 ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 169.38/170.74 | ~ c_List_Odistinct(X1,X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12202_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20634,plain,
% 169.38/170.74 ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 169.38/170.74 | ~ c_List_Odistinct(X1,X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3287]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3283,plain,
% 169.38/170.74 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 169.38/170.74 | ~ c_in(X0,X1,tc_Message_Omsg) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12204_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20626,plain,
% 169.38/170.74 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 169.38/170.74 | ~ c_in(X0,X1,tc_Message_Omsg) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3283]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3281,plain,
% 169.38/170.74 ( c_less(c_0,X0,tc_IntDef_Oint)
% 169.38/170.74 | ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12206_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20622,plain,
% 169.38/170.74 ( c_less(c_0,X0,tc_IntDef_Oint)
% 169.38/170.74 | ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3281]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20623,plain,
% 169.38/170.74 ( ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 169.38/170.74 | c_less(c_0,X0,tc_IntDef_Oint) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20622]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3279,plain,
% 169.38/170.74 ( c_less(c_0,X0,tc_nat)
% 169.38/170.74 | ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12207_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20618,plain,
% 169.38/170.74 ( c_less(c_0,X0,tc_nat)
% 169.38/170.74 | ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3279]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20619,plain,
% 169.38/170.74 ( ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 169.38/170.74 | c_less(c_0,X0,tc_nat) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20618]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3276,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.74 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12208_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20612,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.74 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3276]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3273,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.74 | c_Parity_Oeven(X0,tc_nat)
% 169.38/170.74 | c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12209_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20606,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 169.38/170.74 | c_Parity_Oeven(X0,tc_nat)
% 169.38/170.74 | c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3273]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3270,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.74 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12210_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20600,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.38/170.74 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3270]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3268,plain,
% 169.38/170.74 ( X0 = c_Datatype_Ooption_OSome(X1,X2)
% 169.38/170.74 | ~ c_in(X1,c_Datatype_Oo2s(X0,X2),X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12211_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20596,plain,
% 169.38/170.74 ( X0 = c_Datatype_Ooption_OSome(X1,X2)
% 169.38/170.74 | ~ c_in(X1,c_Datatype_Oo2s(X0,X2),X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3268]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20597,plain,
% 169.38/170.74 ( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
% 169.38/170.74 | X1 = c_Datatype_Ooption_OSome(X0,X2) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20596]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3266,plain,
% 169.38/170.74 ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
% 169.38/170.74 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12212_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20592,plain,
% 169.38/170.74 ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
% 169.38/170.74 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3266]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20593,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.38/170.74 | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20592]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3263,plain,
% 169.38/170.74 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.74 | c_Numeral_Onumber__of(X0,X1) != c_0
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12213_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20586,plain,
% 169.38/170.74 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 169.38/170.74 | c_Numeral_Onumber__of(X0,X1) != c_0
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3263]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20587,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.74 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 169.38/170.74 | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20586]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3261,plain,
% 169.38/170.74 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.38/170.74 | c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12214_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20582,plain,
% 169.38/170.74 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.38/170.74 | c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3261]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20583,plain,
% 169.38/170.74 ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 169.38/170.74 | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20582]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3259,plain,
% 169.38/170.74 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.38/170.74 | c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12215_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20578,plain,
% 169.38/170.74 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.38/170.74 | c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3259]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20579,plain,
% 169.38/170.74 ( c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 169.38/170.74 | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20578]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3257,plain,
% 169.38/170.74 ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 169.38/170.74 | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12216_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20574,plain,
% 169.38/170.74 ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 169.38/170.74 | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3257]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3255,plain,
% 169.38/170.74 ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12217_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20570,plain,
% 169.38/170.74 ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3255]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3249,plain,
% 169.38/170.74 ( c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12219_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20558,plain,
% 169.38/170.74 ( c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3249]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20559,plain,
% 169.38/170.74 ( ~ c_less(X0,X1,tc_nat) | c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20558]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3242,plain,
% 169.38/170.74 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12222_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20544,plain,
% 169.38/170.74 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3242]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20545,plain,
% 169.38/170.74 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20544]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3239,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.74 | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12223_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20538,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 169.38/170.74 | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3239]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20539,plain,
% 169.38/170.74 ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 169.38/170.74 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20538]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3237,plain,
% 169.38/170.74 ( c_minus(X0,X1,tc_nat) = c_0 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12224_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20534,plain,
% 169.38/170.74 ( c_minus(X0,X1,tc_nat) = c_0 | ~ c_lessequals(X0,X1,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3237]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20535,plain,
% 169.38/170.74 ( ~ c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20534]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3235,plain,
% 169.38/170.74 ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12225_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20530,plain,
% 169.38/170.74 ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3235]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3233,plain,
% 169.38/170.74 ( c_div(X0,X1,tc_nat) = c_0 | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12226_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20526,plain,
% 169.38/170.74 ( c_div(X0,X1,tc_nat) = c_0 | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3233]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20527,plain,
% 169.38/170.74 ( ~ c_less(X0,X1,tc_nat) | c_div(X0,X1,tc_nat) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20526]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3231,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12227_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20522,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3231]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3229,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12228_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20518,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3229]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3227,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12229_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20514,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3227]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3225,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.74 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12230_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20510,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 169.38/170.74 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3225]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3223,plain,
% 169.38/170.74 ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 169.38/170.74 | X1 = c_List_Olist_ONil ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12232_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20506,plain,
% 169.38/170.74 ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 169.38/170.74 | X1 = c_List_Olist_ONil ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3223]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3221,plain,
% 169.38/170.74 ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 169.38/170.74 | X1 = c_List_Olist_ONil ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12233_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20502,plain,
% 169.38/170.74 ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 169.38/170.74 | X1 = c_List_Olist_ONil ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3221]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3219,plain,
% 169.38/170.74 ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 169.38/170.74 | X0 = c_List_Olist_ONil ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12234_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20498,plain,
% 169.38/170.74 ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 169.38/170.74 | X0 = c_List_Olist_ONil ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3219]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3216,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | c_LOrder_Omeet(X0,c_uminus(X0,X1),X1) != c_0
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12235_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20492,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | c_LOrder_Omeet(X0,c_uminus(X0,X1),X1) != c_0
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3216]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20493,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.74 | c_LOrder_Omeet(X1,c_uminus(X1,X0),X0) != c_0
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20492]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3213,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | c_LOrder_Ojoin(X0,c_uminus(X0,X1),X1) != c_0
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12236_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20486,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | c_LOrder_Ojoin(X0,c_uminus(X0,X1),X1) != c_0
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3213]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20487,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.74 | c_LOrder_Ojoin(X1,c_uminus(X1,X0),X0) != c_0
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20486]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3211,plain,
% 169.38/170.74 ( 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)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12239_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20482,plain,
% 169.38/170.74 ( 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)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3211]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20483,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.74 | 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) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20482]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3209,plain,
% 169.38/170.74 ( c_div(X0,X0,tc_nat) = c_1 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12244_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20478,plain,
% 169.38/170.74 ( c_div(X0,X0,tc_nat) = c_1 | ~ c_less(c_0,X0,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3209]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20479,plain,
% 169.38/170.74 ( ~ c_less(c_0,X0,tc_nat) | c_div(X0,X0,tc_nat) = c_1 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20478]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3203,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12246_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20466,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3203]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20467,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.38/170.74 | ~ c_lessequals(c_HOL_Oabs(X1,X0),c_0,X0)
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20466]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3200,plain,
% 169.38/170.74 ( c_divide(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oinverse(c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.74 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12247_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20460,plain,
% 169.38/170.74 ( c_divide(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oinverse(c_Numeral_Onumber__of(X0,X1),X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.74 | ~ class_Numeral_Onumber(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3200]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20461,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_divide(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X0),X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20460]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3197,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12248_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20454,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3197]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20455,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.38/170.74 | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_0,X0)
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20454]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3195,plain,
% 169.38/170.74 ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12252_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20450,plain,
% 169.38/170.74 ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3195]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20451,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.38/170.74 | ~ c_less(c_HOL_Oabs(X1,X0),c_0,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20450]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3193,plain,
% 169.38/170.74 ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12253_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20446,plain,
% 169.38/170.74 ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3193]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20447,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.38/170.74 | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_0,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20446]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3191,plain,
% 169.38/170.74 ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12256_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20442,plain,
% 169.38/170.74 ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3191]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20443,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.38/170.74 | ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20442]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3189,plain,
% 169.38/170.74 ( c_Finite__Set_OMin(c_insert(X0,c_emptyset,X1),X1) = X0
% 169.38/170.74 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12257_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20438,plain,
% 169.38/170.74 ( c_Finite__Set_OMin(c_insert(X0,c_emptyset,X1),X1) = X0
% 169.38/170.74 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3189]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20439,plain,
% 169.38/170.74 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.74 | c_Finite__Set_OMin(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20438]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3187,plain,
% 169.38/170.74 ( c_Finite__Set_OMax(c_insert(X0,c_emptyset,X1),X1) = X0
% 169.38/170.74 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12258_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20434,plain,
% 169.38/170.74 ( c_Finite__Set_OMax(c_insert(X0,c_emptyset,X1),X1) = X0
% 169.38/170.74 | ~ class_Orderings_Olinorder(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3187]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20435,plain,
% 169.38/170.74 ( ~ class_Orderings_Olinorder(X0)
% 169.38/170.74 | c_Finite__Set_OMax(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20434]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3177,plain,
% 169.38/170.74 ( c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2) = c_0
% 169.38/170.74 | c_Numeral_Onumber__of(X1,X2) != c_0
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.38/170.74 | ~ class_Numeral_Onumber(X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12261_4) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20414,plain,
% 169.38/170.74 ( c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2) = c_0
% 169.38/170.74 | c_Numeral_Onumber__of(X1,X2) != c_0
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 169.38/170.74 | ~ class_Numeral_Onumber(X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3177]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20415,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_Numeral_Onumber__of(X1,X0) != c_0
% 169.38/170.74 | c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20414]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3175,plain,
% 169.38/170.74 ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12267_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20410,plain,
% 169.38/170.74 ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3175]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3173,plain,
% 169.38/170.74 ( c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12268_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20406,plain,
% 169.38/170.74 ( c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3173]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20407,plain,
% 169.38/170.74 ( ~ c_less(X0,X1,tc_nat) | c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20406]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3171,plain,
% 169.38/170.74 ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12269_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20402,plain,
% 169.38/170.74 ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3171]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3169,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12272_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20398,plain,
% 169.38/170.74 ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 169.38/170.74 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3169]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3166,plain,
% 169.38/170.74 ( c_divide(X0,c_0,X1) = c_divide(X2,c_0,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12273_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20392,plain,
% 169.38/170.74 ( c_divide(X0,c_0,X1) = c_divide(X2,c_0,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3166]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20393,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_divide(X1,c_0,X0) = c_divide(X2,c_0,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20392]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3163,plain,
% 169.38/170.74 ( c_divide(c_0,X0,X1) = c_divide(c_0,X2,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12274_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20386,plain,
% 169.38/170.74 ( c_divide(c_0,X0,X1) = c_divide(c_0,X2,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3163]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20387,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_divide(c_0,X1,X0) = c_divide(c_0,X2,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20386]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3151,plain,
% 169.38/170.74 ( X0 = c_emptyset
% 169.38/170.74 | c_Union(X1,X2) != c_emptyset
% 169.38/170.74 | ~ c_in(X0,X1,tc_set(X2)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12278_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20362,plain,
% 169.38/170.74 ( X0 = c_emptyset
% 169.38/170.74 | c_Union(X1,X2) != c_emptyset
% 169.38/170.74 | ~ c_in(X0,X1,tc_set(X2)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3151]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20363,plain,
% 169.38/170.74 ( ~ c_in(X0,X1,tc_set(X2))
% 169.38/170.74 | c_Union(X1,X2) != c_emptyset
% 169.38/170.74 | X0 = c_emptyset ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20362]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3145,plain,
% 169.38/170.74 ( X0 = c_UNIV | c_Inter(X1,X2) != c_UNIV | ~ c_in(X0,X1,tc_set(X2)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12280_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20350,plain,
% 169.38/170.74 ( X0 = c_UNIV | c_Inter(X1,X2) != c_UNIV | ~ c_in(X0,X1,tc_set(X2)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3145]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20351,plain,
% 169.38/170.74 ( ~ c_in(X0,X1,tc_set(X2)) | c_Inter(X1,X2) != c_UNIV | X0 = c_UNIV ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20350]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3143,plain,
% 169.38/170.74 ( c_List_Oremdups(X0,X1) = X0
% 169.38/170.74 | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12281_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20346,plain,
% 169.38/170.74 ( c_List_Oremdups(X0,X1) = X0
% 169.38/170.74 | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3143]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20347,plain,
% 169.38/170.74 ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1))
% 169.38/170.74 | c_List_Oremdups(X0,X1) = X0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20346]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3140,plain,
% 169.38/170.74 ( c_HOL_Oabs(X0,X1) = c_uminus(X0,X1)
% 169.38/170.74 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12282_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20340,plain,
% 169.38/170.74 ( c_HOL_Oabs(X0,X1) = c_uminus(X0,X1)
% 169.38/170.74 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3140]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20341,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.38/170.74 | ~ c_lessequals(X1,c_0,X0)
% 169.38/170.74 | c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20340]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3138,plain,
% 169.38/170.74 ( X0 = c_0 | ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12286_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20336,plain,
% 169.38/170.74 ( X0 = c_0 | ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3138]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20337,plain,
% 169.38/170.74 ( ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | X0 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20336]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3135,plain,
% 169.38/170.74 ( X0 = c_emptyset
% 169.38/170.74 | c_Finite__Set_Ocard(X0,X1) != c_0
% 169.38/170.74 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12290_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20330,plain,
% 169.38/170.74 ( X0 = c_emptyset
% 169.38/170.74 | c_Finite__Set_Ocard(X0,X1) != c_0
% 169.38/170.74 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3135]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20331,plain,
% 169.38/170.74 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.38/170.74 | c_Finite__Set_Ocard(X0,X1) != c_0
% 169.38/170.74 | X0 = c_emptyset ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20330]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3131,plain,
% 169.38/170.74 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 169.38/170.74 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.74 | ~ class_Power_Orecpower(X0)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12292_3) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20322,plain,
% 169.38/170.74 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 169.38/170.74 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.74 | ~ class_Power_Orecpower(X0)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3131]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20323,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.74 | ~ class_Power_Orecpower(X0)
% 169.38/170.74 | c_Parity_Oeven(X1,tc_nat)
% 169.38/170.74 | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20322]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3125,plain,
% 169.38/170.74 ( c_SetInterval_OatLeastAtMost(X0,X0,X1) = c_insert(X0,c_emptyset,X1)
% 169.38/170.74 | ~ class_Orderings_Oorder(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12294_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20310,plain,
% 169.38/170.74 ( c_SetInterval_OatLeastAtMost(X0,X0,X1) = c_insert(X0,c_emptyset,X1)
% 169.38/170.74 | ~ class_Orderings_Oorder(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3125]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20311,plain,
% 169.38/170.74 ( ~ class_Orderings_Oorder(X0)
% 169.38/170.74 | c_SetInterval_OatLeastAtMost(X1,X1,X0) = c_insert(X1,c_emptyset,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20310]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3123,plain,
% 169.38/170.74 ( c_times(X0,c_0,X1) = c_times(X2,c_0,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12295_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20306,plain,
% 169.38/170.74 ( c_times(X0,c_0,X1) = c_times(X2,c_0,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3123]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20307,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_times(X1,c_0,X0) = c_times(X2,c_0,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20306]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3121,plain,
% 169.38/170.74 ( c_times(c_0,X0,X1) = c_times(c_0,X2,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12296_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20302,plain,
% 169.38/170.74 ( c_times(c_0,X0,X1) = c_times(c_0,X2,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3121]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20303,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_times(c_0,X1,X0) = c_times(c_0,X2,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20302]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3117,plain,
% 169.38/170.74 ( c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12297_3) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20294,plain,
% 169.38/170.74 ( c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3117]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20295,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20294]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3113,plain,
% 169.38/170.74 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.38/170.74 | ~ class_Power_Orecpower(X0)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12298_3) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20286,plain,
% 169.38/170.74 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.38/170.74 | ~ class_Power_Orecpower(X0)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3113]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20287,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.74 | ~ class_Power_Orecpower(X0)
% 169.38/170.74 | ~ c_Parity_Oeven(X1,tc_nat)
% 169.38/170.74 | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20286]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3107,plain,
% 169.38/170.74 ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 169.38/170.74 | X0 = c_List_Olist_ONil ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12304_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20274,plain,
% 169.38/170.74 ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 169.38/170.74 | X0 = c_List_Olist_ONil ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3107]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3105,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil
% 169.38/170.74 | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12305_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20270,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil
% 169.38/170.74 | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3105]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20271,plain,
% 169.38/170.74 ( c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1)
% 169.38/170.74 | X0 = c_List_Olist_ONil ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20270]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3103,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil
% 169.38/170.74 | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12306_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20266,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil
% 169.38/170.74 | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3103]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20267,plain,
% 169.38/170.74 ( c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1)
% 169.38/170.74 | X0 = c_List_Olist_ONil ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20266]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3100,plain,
% 169.38/170.74 ( c_OrderedGroup_Opprt(X0,X1) = X0
% 169.38/170.74 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12307_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20260,plain,
% 169.38/170.74 ( c_OrderedGroup_Opprt(X0,X1) = X0
% 169.38/170.74 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3100]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20261,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.74 | ~ c_lessequals(c_0,X1,X0)
% 169.38/170.74 | c_OrderedGroup_Opprt(X1,X0) = X1 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20260]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3097,plain,
% 169.38/170.74 ( c_OrderedGroup_Onprt(X0,X1) = X0
% 169.38/170.74 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12308_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20254,plain,
% 169.38/170.74 ( c_OrderedGroup_Onprt(X0,X1) = X0
% 169.38/170.74 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3097]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20255,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.74 | ~ c_lessequals(X1,c_0,X0)
% 169.38/170.74 | c_OrderedGroup_Onprt(X1,X0) = X1 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20254]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3094,plain,
% 169.38/170.74 ( c_HOL_Oabs(X0,X1) = X0
% 169.38/170.74 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12309_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20248,plain,
% 169.38/170.74 ( c_HOL_Oabs(X0,X1) = X0
% 169.38/170.74 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3094]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20249,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.38/170.74 | ~ c_lessequals(c_0,X1,X0)
% 169.38/170.74 | c_HOL_Oabs(X1,X0) = X1 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20248]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3092,plain,
% 169.38/170.74 ( c_plus(c_NatArith_Oof__nat(X0,X1),c_1,X1) = c_NatArith_Oof__nat(c_Suc(X0),X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12310_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20244,plain,
% 169.38/170.74 ( c_plus(c_NatArith_Oof__nat(X0,X1),c_1,X1) = c_NatArith_Oof__nat(c_Suc(X0),X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3092]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20245,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.38/170.74 | c_plus(c_NatArith_Oof__nat(X1,X0),c_1,X0) = c_NatArith_Oof__nat(c_Suc(X1),X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20244]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3089,plain,
% 169.38/170.74 ( c_OrderedGroup_Opprt(X0,X1) = c_0
% 169.38/170.74 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12311_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20238,plain,
% 169.38/170.74 ( c_OrderedGroup_Opprt(X0,X1) = c_0
% 169.38/170.74 | ~ c_lessequals(X0,c_0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3089]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20239,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.74 | ~ c_lessequals(X1,c_0,X0)
% 169.38/170.74 | c_OrderedGroup_Opprt(X1,X0) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20238]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3086,plain,
% 169.38/170.74 ( c_OrderedGroup_Onprt(X0,X1) = c_0
% 169.38/170.74 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12312_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20232,plain,
% 169.38/170.74 ( c_OrderedGroup_Onprt(X0,X1) = c_0
% 169.38/170.74 | ~ c_lessequals(c_0,X0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3086]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20233,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.74 | ~ c_lessequals(c_0,X1,X0)
% 169.38/170.74 | c_OrderedGroup_Onprt(X1,X0) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20232]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3084,plain,
% 169.38/170.74 ( c_Finite__Set_Ocard(c_emptyset,X0) = c_0
% 169.38/170.74 | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12313_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20228,plain,
% 169.38/170.74 ( c_Finite__Set_Ocard(c_emptyset,X0) = c_0
% 169.38/170.74 | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3084]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20229,plain,
% 169.38/170.74 ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0))
% 169.38/170.74 | c_Finite__Set_Ocard(c_emptyset,X0) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20228]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3081,plain,
% 169.38/170.74 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_1
% 169.38/170.74 | c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.38/170.74 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12314_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20222,plain,
% 169.38/170.74 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_1
% 169.38/170.74 | c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 169.38/170.74 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3081]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20223,plain,
% 169.38/170.74 ( ~ class_Power_Orecpower(X0)
% 169.38/170.74 | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 169.38/170.74 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_1 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20222]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3080,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_divide(X1,X2,X0) != c_0
% 169.38/170.74 | X2 = c_0
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12315_0) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20220,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_divide(X1,X2,X0) != c_0
% 169.38/170.74 | X2 = c_0
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3080]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3076,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | X1 = c_0
% 169.38/170.74 | c_divide(X0,X1,X2) != c_0
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12315_4) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20212,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | X1 = c_0
% 169.38/170.74 | c_divide(X0,X1,X2) != c_0
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3076]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20213,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_divide(X1,X2,X0) != c_0
% 169.38/170.74 | X1 = c_0
% 169.38/170.74 | X2 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20212]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3064,plain,
% 169.38/170.74 ( X0 = X1
% 169.38/170.74 | c_divide(X1,X0,X2) != c_1
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12318_3) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20188,plain,
% 169.38/170.74 ( X0 = X1
% 169.38/170.74 | c_divide(X1,X0,X2) != c_1
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__field(X2)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3064]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20189,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.74 | c_divide(X1,X2,X0) != c_1
% 169.38/170.74 | X2 = X1 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20188]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3060,plain,
% 169.38/170.74 ( X0 = X1
% 169.38/170.74 | c_divide(X0,X1,X2) != c_1
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12319_3) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20180,plain,
% 169.38/170.74 ( X0 = X1
% 169.38/170.74 | c_divide(X0,X1,X2) != c_1
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X2)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3060]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20181,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_divide(X1,X2,X0) != c_1
% 169.38/170.74 | X1 = X2 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20180]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3054,plain,
% 169.38/170.74 ( c_Union(X0,X1) = c_emptyset
% 169.38/170.74 | c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12324_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20168,plain,
% 169.38/170.74 ( c_Union(X0,X1) = c_emptyset
% 169.38/170.74 | c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3054]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20169,plain,
% 169.38/170.74 ( c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1))
% 169.38/170.74 | c_Union(X0,X1) = c_emptyset ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20168]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3052,plain,
% 169.38/170.74 ( c_Union(X0,X1) = c_emptyset
% 169.38/170.74 | c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12325_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20164,plain,
% 169.38/170.74 ( c_Union(X0,X1) = c_emptyset
% 169.38/170.74 | c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3052]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20165,plain,
% 169.38/170.74 ( c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1))
% 169.38/170.74 | c_Union(X0,X1) = c_emptyset ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20164]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3050,plain,
% 169.38/170.74 ( c_Inter(X0,X1) = c_UNIV
% 169.38/170.74 | c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12326_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20160,plain,
% 169.38/170.74 ( c_Inter(X0,X1) = c_UNIV
% 169.38/170.74 | c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3050]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20161,plain,
% 169.38/170.74 ( c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1))
% 169.38/170.74 | c_Inter(X0,X1) = c_UNIV ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20160]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3048,plain,
% 169.38/170.74 ( c_Inter(X0,X1) = c_UNIV
% 169.38/170.74 | c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12327_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20156,plain,
% 169.38/170.74 ( c_Inter(X0,X1) = c_UNIV
% 169.38/170.74 | c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3048]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20157,plain,
% 169.38/170.74 ( c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1))
% 169.38/170.74 | c_Inter(X0,X1) = c_UNIV ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20156]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3046,plain,
% 169.38/170.74 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12328_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20152,plain,
% 169.38/170.74 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3046]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3043,plain,
% 169.38/170.74 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12329_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20146,plain,
% 169.38/170.74 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3043]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20147,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.74 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20146]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3027,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | c_divide(c_1,X0,X1) != c_0
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12333_3) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20114,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | c_divide(c_1,X0,X1) != c_0
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3027]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20115,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.74 | c_divide(c_1,X1,X0) != c_0
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20114]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3025,plain,
% 169.38/170.74 ( c_times(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12334_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20110,plain,
% 169.38/170.74 ( c_times(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3025]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20111,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.74 | c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20110]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3023,plain,
% 169.38/170.74 ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12335_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20106,plain,
% 169.38/170.74 ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3023]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20107,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.74 | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20106]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3021,plain,
% 169.38/170.74 ( c_List_Oupt(X0,X1) = c_List_Olist_ONil | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12337_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20102,plain,
% 169.38/170.74 ( c_List_Oupt(X0,X1) = c_List_Olist_ONil | ~ c_lessequals(X1,X0,tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3021]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20103,plain,
% 169.38/170.74 ( ~ c_lessequals(X0,X1,tc_nat) | c_List_Oupt(X1,X0) = c_List_Olist_ONil ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20102]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3015,plain,
% 169.38/170.74 ( c_divide(X0,c_0,X1) != c_1
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12339_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20090,plain,
% 169.38/170.74 ( c_divide(X0,c_0,X1) != c_1
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3015]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20091,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.74 | c_divide(X1,c_0,X0) != c_1 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20090]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_3007,plain,
% 169.38/170.74 ( X0 = c_1
% 169.38/170.74 | X1 = c_0
% 169.38/170.74 | c_times(X0,X1,X2) != X1
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12341_3) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20074,plain,
% 169.38/170.74 ( X0 = c_1
% 169.38/170.74 | X1 = c_0
% 169.38/170.74 | c_times(X0,X1,X2) != X1
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_3007]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20075,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.74 | c_times(X1,X2,X0) != X2
% 169.38/170.74 | X1 = c_1
% 169.38/170.74 | X2 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20074]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2999,plain,
% 169.38/170.74 ( X0 = c_1
% 169.38/170.74 | X1 = c_0
% 169.38/170.74 | c_times(X1,X0,X2) != X1
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12343_3) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20058,plain,
% 169.38/170.74 ( X0 = c_1
% 169.38/170.74 | X1 = c_0
% 169.38/170.74 | c_times(X1,X0,X2) != X1
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2999]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20059,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.38/170.74 | c_times(X1,X2,X0) != X1
% 169.38/170.74 | X2 = c_1
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20058]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2998,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.38/170.74 | c_times(X1,X2,X0) != c_0
% 169.38/170.74 | X2 = c_0
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12345_0) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20056,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.38/170.74 | c_times(X1,X2,X0) != c_0
% 169.38/170.74 | X2 = c_0
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2998]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2995,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | X1 = c_0
% 169.38/170.74 | c_times(X0,X1,X2) != c_0
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12345_3) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20050,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | X1 = c_0
% 169.38/170.74 | c_times(X0,X1,X2) != c_0
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2995]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20051,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.38/170.74 | c_times(X1,X2,X0) != c_0
% 169.38/170.74 | X1 = c_0
% 169.38/170.74 | X2 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20050]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2992,plain,
% 169.38/170.74 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.74 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 169.38/170.74 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12346_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20044,plain,
% 169.38/170.74 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.38/170.74 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 169.38/170.74 | ~ class_Power_Orecpower(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2992]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20045,plain,
% 169.38/170.74 ( ~ class_Power_Orecpower(X0)
% 169.38/170.74 | c_Numeral_Onumber__of(X1,tc_nat) = c_0
% 169.38/170.74 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20044]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2989,plain,
% 169.38/170.74 ( X0 = X1
% 169.38/170.74 | c_minus(X0,X1,X2) != c_0
% 169.38/170.74 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12348_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20038,plain,
% 169.38/170.74 ( X0 = X1
% 169.38/170.74 | c_minus(X0,X1,X2) != c_0
% 169.38/170.74 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2989]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20039,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.38/170.74 | c_minus(X1,X2,X0) != c_0
% 169.38/170.74 | X1 = X2 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20038]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2987,plain,
% 169.38/170.74 ( X0 = c_emptyset | ~ c_lessequals(X0,c_emptyset,tc_set(X1)) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12349_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20034,plain,
% 169.38/170.74 ( X0 = c_emptyset | ~ c_lessequals(X0,c_emptyset,tc_set(X1)) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2987]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20035,plain,
% 169.38/170.74 ( ~ c_lessequals(X0,c_emptyset,tc_set(X1)) | X0 = c_emptyset ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20034]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2984,plain,
% 169.38/170.74 ( c_HOL_Oinverse(c_uminus(X0,X1),X1) = c_uminus(c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12352_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20028,plain,
% 169.38/170.74 ( c_HOL_Oinverse(c_uminus(X0,X1),X1) = c_uminus(c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2984]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20029,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_HOL_Oinverse(c_uminus(X1,X0),X0) = c_uminus(c_HOL_Oinverse(X1,X0),X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20028]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2981,plain,
% 169.38/170.74 ( c_HOL_Oinverse(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12353_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20022,plain,
% 169.38/170.74 ( c_HOL_Oinverse(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(c_HOL_Oinverse(X0,X1),X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.38/170.74 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2981]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20023,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.38/170.74 | c_HOL_Oinverse(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(c_HOL_Oinverse(X1,X0),X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20022]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2978,plain,
% 169.38/170.74 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1)
% 169.38/170.74 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12354_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20016,plain,
% 169.38/170.74 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1)
% 169.38/170.74 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2978]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20017,plain,
% 169.38/170.74 ( ~ class_Numeral_Onumber__ring(X0)
% 169.38/170.74 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20016]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2976,plain,
% 169.38/170.74 ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12356_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20012,plain,
% 169.38/170.74 ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2976]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20013,plain,
% 169.38/170.74 ( ~ class_Orderings_Oorder(X0) | ~ c_less(X1,X1,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20012]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2974,plain,
% 169.38/170.74 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = X0
% 169.38/170.74 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12360_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20008,plain,
% 169.38/170.74 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = X0
% 169.38/170.74 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2974]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20009,plain,
% 169.38/170.74 ( ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 169.38/170.74 | c_IntDef_Oint(c_IntDef_Onat(X0)) = X0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20008]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2972,plain,
% 169.38/170.74 ( X0 = c_0 | ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12361_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20004,plain,
% 169.38/170.74 ( X0 = c_0 | ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2972]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_20005,plain,
% 169.38/170.74 ( ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) | X0 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_20004]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2964,plain,
% 169.38/170.74 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12364_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19988,plain,
% 169.38/170.74 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.38/170.74 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2964]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2962,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil
% 169.38/170.74 | c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12365_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19984,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil
% 169.38/170.74 | c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2962]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19985,plain,
% 169.38/170.74 ( c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 169.38/170.74 | X0 = c_List_Olist_ONil ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19984]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2960,plain,
% 169.38/170.74 ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 169.38/170.74 | c_List_Oremdups(X0,X1) != X0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12367_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19980,plain,
% 169.38/170.74 ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 169.38/170.74 | c_List_Oremdups(X0,X1) != X0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2960]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2955,plain,
% 169.38/170.74 ( c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
% 169.38/170.74 | X0 = c_0
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12369_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19970,plain,
% 169.38/170.74 ( c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
% 169.38/170.74 | X0 = c_0
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2955]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19971,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19970]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2952,plain,
% 169.38/170.74 ( c_times(c_HOL_Oinverse(X0,X1),X0,X1) = c_1
% 169.38/170.74 | X0 = c_0
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12370_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19964,plain,
% 169.38/170.74 ( c_times(c_HOL_Oinverse(X0,X1),X0,X1) = c_1
% 169.38/170.74 | X0 = c_0
% 169.38/170.74 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2952]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19965,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Ofield(X0)
% 169.38/170.74 | c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19964]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2949,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil
% 169.38/170.74 | X1 = c_0
% 169.38/170.74 | c_List_Otake(X1,X0,X2) != c_List_Olist_ONil ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12371_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19958,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil
% 169.38/170.74 | X1 = c_0
% 169.38/170.74 | c_List_Otake(X1,X0,X2) != c_List_Olist_ONil ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2949]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19959,plain,
% 169.38/170.74 ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil
% 169.38/170.74 | X0 = c_0
% 169.38/170.74 | X1 = c_List_Olist_ONil ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19958]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2935,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != X1 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12378_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19930,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != X1 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2935]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19931,plain,
% 169.38/170.74 ( c_append(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19930]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2933,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != X1 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12379_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19926,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != X1 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2933]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19927,plain,
% 169.38/170.74 ( c_append(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19926]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2931,plain,
% 169.38/170.74 ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12381_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19922,plain,
% 169.38/170.74 ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2931]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19923,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Oordered__semidom(X0) | ~ c_less(c_1,c_0,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19922]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2929,plain,
% 169.38/170.74 ( ~ c_lessequals(c_1,c_0,X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12382_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19918,plain,
% 169.38/170.74 ( ~ c_lessequals(c_1,c_0,X0)
% 169.38/170.74 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2929]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19919,plain,
% 169.38/170.74 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.38/170.74 | ~ c_lessequals(c_1,c_0,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19918]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2926,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12383_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19912,plain,
% 169.38/170.74 ( X0 = c_0
% 169.38/170.74 | c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2926]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19913,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.38/170.74 | c_less(c_0,c_HOL_Oabs(X1,X0),X0)
% 169.38/170.74 | X1 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19912]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2924,plain,
% 169.38/170.74 ( c_plus(X0,c_uminus(X0,X1),X1) = c_0
% 169.38/170.74 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12384_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19908,plain,
% 169.38/170.74 ( c_plus(X0,c_uminus(X0,X1),X1) = c_0
% 169.38/170.74 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2924]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19909,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.38/170.74 | c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19908]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2922,plain,
% 169.38/170.74 ( c_plus(c_uminus(X0,X1),X0,X1) = c_0
% 169.38/170.74 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12385_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19904,plain,
% 169.38/170.74 ( c_plus(c_uminus(X0,X1),X0,X1) = c_0
% 169.38/170.74 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2922]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19905,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.38/170.74 | c_plus(c_uminus(X1,X0),X1,X0) = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19904]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2920,plain,
% 169.38/170.74 ( X0 = c_emptyset | c_union(X1,X0,X2) != c_emptyset ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12386_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19900,plain,
% 169.38/170.74 ( X0 = c_emptyset | c_union(X1,X0,X2) != c_emptyset ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2920]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19901,plain,
% 169.38/170.74 ( c_union(X0,X1,X2) != c_emptyset | X1 = c_emptyset ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19900]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2918,plain,
% 169.38/170.74 ( X0 = c_emptyset | c_union(X0,X1,X2) != c_emptyset ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12387_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19896,plain,
% 169.38/170.74 ( X0 = c_emptyset | c_union(X0,X1,X2) != c_emptyset ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2918]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19897,plain,
% 169.38/170.74 ( c_union(X0,X1,X2) != c_emptyset | X0 = c_emptyset ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19896]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2916,plain,
% 169.38/170.74 ( X0 = c_UNIV | c_inter(X1,X0,X2) != c_UNIV ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12388_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19892,plain,
% 169.38/170.74 ( X0 = c_UNIV | c_inter(X1,X0,X2) != c_UNIV ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2916]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19893,plain,
% 169.38/170.74 ( c_inter(X0,X1,X2) != c_UNIV | X1 = c_UNIV ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19892]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2914,plain,
% 169.38/170.74 ( X0 = c_UNIV | c_inter(X0,X1,X2) != c_UNIV ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12389_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19888,plain,
% 169.38/170.74 ( X0 = c_UNIV | c_inter(X0,X1,X2) != c_UNIV ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2914]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19889,plain,
% 169.38/170.74 ( c_inter(X0,X1,X2) != c_UNIV | X0 = c_UNIV ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19888]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2912,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil
% 169.38/170.74 | c_List_Orotate(X1,X0,X2) != c_List_Olist_ONil ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12390_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19884,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil
% 169.38/170.74 | c_List_Orotate(X1,X0,X2) != c_List_Olist_ONil ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2912]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19885,plain,
% 169.38/170.74 ( c_List_Orotate(X0,X1,X2) != c_List_Olist_ONil
% 169.38/170.74 | X1 = c_List_Olist_ONil ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19884]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2906,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != c_List_Olist_ONil ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12393_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19872,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != c_List_Olist_ONil ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2906]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19873,plain,
% 169.38/170.74 ( c_append(X0,X1,X2) != c_List_Olist_ONil | X1 = c_List_Olist_ONil ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19872]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2904,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != c_List_Olist_ONil ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12394_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19868,plain,
% 169.38/170.74 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != c_List_Olist_ONil ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2904]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19869,plain,
% 169.38/170.74 ( c_append(X0,X1,X2) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19868]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2900,plain,
% 169.38/170.74 ( X0 = c_emptyset
% 169.38/170.74 | c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12396_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19860,plain,
% 169.38/170.74 ( X0 = c_emptyset
% 169.38/170.74 | c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2900]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19861,plain,
% 169.38/170.74 ( c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset
% 169.38/170.74 | X0 = c_emptyset ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19860]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2899,plain,
% 169.38/170.74 ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12399_0) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19858,plain,
% 169.38/170.74 ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2899]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2897,plain,
% 169.38/170.74 ( X0 = c_0 | X1 = c_0 | c_times(X0,X1,tc_nat) != c_0 ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12399_2) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19854,plain,
% 169.38/170.74 ( X0 = c_0 | X1 = c_0 | c_times(X0,X1,tc_nat) != c_0 ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2897]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19855,plain,
% 169.38/170.74 ( c_times(X0,X1,tc_nat) != c_0 | X0 = c_0 | X1 = c_0 ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19854]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2895,plain,
% 169.38/170.74 ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12400_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19850,plain,
% 169.38/170.74 ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2895]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19851,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.74 | c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X0),X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19850]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2893,plain,
% 169.38/170.74 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12401_1) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19846,plain,
% 169.38/170.74 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 169.38/170.74 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 169.38/170.74 inference(copy,[status(esa)],[c_2893]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_19847,plain,
% 169.38/170.74 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.38/170.74 | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_0,X0) ),
% 169.38/170.74 inference(rewriting,[status(thm)],[c_19846]) ).
% 169.38/170.74
% 169.38/170.74 cnf(c_2891,plain,
% 169.38/170.74 ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 169.48/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.48/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12402_1) ).
% 169.48/170.74
% 169.48/170.74 cnf(c_19842,plain,
% 169.48/170.74 ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 169.48/170.74 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.48/170.74 inference(copy,[status(esa)],[c_2891]) ).
% 169.48/170.74
% 169.48/170.74 cnf(c_19843,plain,
% 169.48/170.74 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.74 | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
% 169.48/170.74 inference(rewriting,[status(thm)],[c_19842]) ).
% 169.48/170.74
% 169.48/170.74 cnf(c_2889,plain,
% 169.48/170.74 ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 169.48/170.74 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.48/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12403_1) ).
% 169.48/170.74
% 169.48/170.74 cnf(c_19838,plain,
% 169.48/170.74 ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 169.48/170.74 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.48/170.74 inference(copy,[status(esa)],[c_2889]) ).
% 169.48/170.74
% 169.48/170.74 cnf(c_19839,plain,
% 169.48/170.74 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.74 | c_lessequals(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 169.48/170.74 inference(rewriting,[status(thm)],[c_19838]) ).
% 169.48/170.74
% 169.48/170.74 cnf(c_2887,plain,
% 169.48/170.74 ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 169.48/170.74 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.48/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12404_1) ).
% 169.48/170.74
% 169.48/170.74 cnf(c_19834,plain,
% 169.48/170.74 ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 169.48/170.74 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 169.48/170.74 inference(copy,[status(esa)],[c_2887]) ).
% 169.48/170.74
% 169.48/170.74 cnf(c_19835,plain,
% 169.48/170.74 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.74 | c_in(c_NatArith_Oof__nat(X1,X0),c_IntDef_ONats,X0) ),
% 169.48/170.74 inference(rewriting,[status(thm)],[c_19834]) ).
% 169.48/170.74
% 169.48/170.74 cnf(c_2885,plain,
% 169.48/170.74 ( c_IntDef_Onat(X0) = c_0 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint) ),
% 169.48/170.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12410_1) ).
% 169.48/170.74
% 169.48/170.74 cnf(c_19830,plain,
% 169.48/170.74 ( c_IntDef_Onat(X0) = c_0 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint) ),
% 169.48/170.74 inference(copy,[status(esa)],[c_2885]) ).
% 169.48/170.74
% 169.48/170.74 cnf(c_19831,plain,
% 169.48/170.74 ( ~ c_lessequals(X0,c_0,tc_IntDef_Oint) | c_IntDef_Onat(X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19830]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2883,plain,
% 169.48/170.75 ( X0 = c_0 | c_plus(X1,X0,tc_nat) != c_0 ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12411_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19826,plain,
% 169.48/170.75 ( X0 = c_0 | c_plus(X1,X0,tc_nat) != c_0 ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2883]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19827,plain,
% 169.48/170.75 ( c_plus(X0,X1,tc_nat) != c_0 | X1 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19826]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2881,plain,
% 169.48/170.75 ( X0 = c_0 | c_plus(X0,X1,tc_nat) != c_0 ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12412_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19822,plain,
% 169.48/170.75 ( X0 = c_0 | c_plus(X0,X1,tc_nat) != c_0 ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2881]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19823,plain,
% 169.48/170.75 ( c_plus(X0,X1,tc_nat) != c_0 | X0 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19822]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2879,plain,
% 169.48/170.75 ( c_IntDef_Oof__int(c_uminus(X0,tc_IntDef_Oint),X1) = c_uminus(c_IntDef_Oof__int(X0,X1),X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12416_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19818,plain,
% 169.48/170.75 ( c_IntDef_Oof__int(c_uminus(X0,tc_IntDef_Oint),X1) = c_uminus(c_IntDef_Oof__int(X0,X1),X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2879]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19819,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.48/170.75 | c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X0) = c_uminus(c_IntDef_Oof__int(X1,X0),X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19818]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2877,plain,
% 169.48/170.75 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0
% 169.48/170.75 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12420_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19814,plain,
% 169.48/170.75 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0
% 169.48/170.75 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2877]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19815,plain,
% 169.48/170.75 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.48/170.75 | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19814]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2875,plain,
% 169.48/170.75 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1
% 169.48/170.75 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12421_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19810,plain,
% 169.48/170.75 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1
% 169.48/170.75 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2875]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19811,plain,
% 169.48/170.75 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.48/170.75 | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19810]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2873,plain,
% 169.48/170.75 ( c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12422_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19806,plain,
% 169.48/170.75 ( c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2873]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19807,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.48/170.75 | c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19806]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2871,plain,
% 169.48/170.75 ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12423_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19802,plain,
% 169.48/170.75 ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2871]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19803,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.48/170.75 | c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19802]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2869,plain,
% 169.48/170.75 ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12424_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19798,plain,
% 169.48/170.75 ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2869]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19799,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.75 | c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19798]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2867,plain,
% 169.48/170.75 ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12425_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19794,plain,
% 169.48/170.75 ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2867]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19795,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.75 | c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19794]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2865,plain,
% 169.48/170.75 ( X0 = c_0 | ~ c_less(X0,c_1,tc_nat) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12426_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19790,plain,
% 169.48/170.75 ( X0 = c_0 | ~ c_less(X0,c_1,tc_nat) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2865]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19791,plain,
% 169.48/170.75 ( ~ c_less(X0,c_1,tc_nat) | X0 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19790]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2863,plain,
% 169.48/170.75 ( X0 = c_0 | ~ c_lessequals(X0,c_0,tc_nat) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12427_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19786,plain,
% 169.48/170.75 ( X0 = c_0 | ~ c_lessequals(X0,c_0,tc_nat) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2863]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19787,plain,
% 169.48/170.75 ( ~ c_lessequals(X0,c_0,tc_nat) | X0 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19786]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2861,plain,
% 169.48/170.75 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12428_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19782,plain,
% 169.48/170.75 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2861]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19783,plain,
% 169.48/170.75 ( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) | X0 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19782]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2859,plain,
% 169.48/170.75 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12429_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19778,plain,
% 169.48/170.75 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2859]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19779,plain,
% 169.48/170.75 ( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) | X0 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19778]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2857,plain,
% 169.48/170.75 ( X0 = c_emptyset | c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12430_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19774,plain,
% 169.48/170.75 ( X0 = c_emptyset | c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2857]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19775,plain,
% 169.48/170.75 ( c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) | X0 = c_emptyset ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19774]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2855,plain,
% 169.48/170.75 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat)
% 169.48/170.75 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12433_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19770,plain,
% 169.48/170.75 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat)
% 169.48/170.75 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2855]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19771,plain,
% 169.48/170.75 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.48/170.75 | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19770]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2853,plain,
% 169.48/170.75 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12440_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19766,plain,
% 169.48/170.75 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2853]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19767,plain,
% 169.48/170.75 ( ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) | c_List_Odistinct(X0,X1) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19766]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2851,plain,
% 169.48/170.75 ( c_List_Odistinct(X0,X1)
% 169.48/170.75 | ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12441_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19762,plain,
% 169.48/170.75 ( c_List_Odistinct(X0,X1)
% 169.48/170.75 | ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2851]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19763,plain,
% 169.48/170.75 ( ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 169.48/170.75 | c_List_Odistinct(X0,X1) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19762]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2846,plain,
% 169.48/170.75 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 169.48/170.75 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12444_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19752,plain,
% 169.48/170.75 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 169.48/170.75 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2846]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19753,plain,
% 169.48/170.75 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.48/170.75 | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19752]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2844,plain,
% 169.48/170.75 ( c_minus(c_0,X0,X1) = c_uminus(X0,X1)
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12445_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19748,plain,
% 169.48/170.75 ( c_minus(c_0,X0,X1) = c_uminus(X0,X1)
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2844]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19749,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.75 | c_minus(c_0,X1,X0) = c_uminus(X1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19748]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2842,plain,
% 169.48/170.75 ( c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil
% 169.48/170.75 | c_lessequals(X0,X1,tc_nat) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12446_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19744,plain,
% 169.48/170.75 ( c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil
% 169.48/170.75 | c_lessequals(X0,X1,tc_nat) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2842]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19745,plain,
% 169.48/170.75 ( c_lessequals(X0,X1,tc_nat)
% 169.48/170.75 | c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19744]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2840,plain,
% 169.48/170.75 ( c_Finite__Set_Ocard(X0,X1) = c_0
% 169.48/170.75 | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12447_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19740,plain,
% 169.48/170.75 ( c_Finite__Set_Ocard(X0,X1) = c_0
% 169.48/170.75 | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2840]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19741,plain,
% 169.48/170.75 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 169.48/170.75 | c_Finite__Set_Ocard(X0,X1) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19740]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2829,plain,
% 169.48/170.75 ( c_divide(X0,X0,X1) = c_1
% 169.48/170.75 | X0 = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12453_3) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19718,plain,
% 169.48/170.75 ( c_divide(X0,X0,X1) = c_1
% 169.48/170.75 | X0 = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__field(X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2829]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19719,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.48/170.75 | c_divide(X1,X1,X0) = c_1
% 169.48/170.75 | X1 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19718]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2827,plain,
% 169.48/170.75 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.48/170.75 | ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12456_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19714,plain,
% 169.48/170.75 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 169.48/170.75 | ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2827]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19715,plain,
% 169.48/170.75 ( ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.48/170.75 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19714]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2821,plain,
% 169.48/170.75 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.48/170.75 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12459_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19702,plain,
% 169.48/170.75 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.48/170.75 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2821]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19703,plain,
% 169.48/170.75 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.48/170.75 | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19702]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2819,plain,
% 169.48/170.75 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.48/170.75 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12460_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19698,plain,
% 169.48/170.75 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 169.48/170.75 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2819]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19699,plain,
% 169.48/170.75 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.48/170.75 | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19698]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2817,plain,
% 169.48/170.75 ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 169.48/170.75 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12461_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19694,plain,
% 169.48/170.75 ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 169.48/170.75 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2817]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2815,plain,
% 169.48/170.75 ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 169.48/170.75 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12462_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19690,plain,
% 169.48/170.75 ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 169.48/170.75 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2815]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2812,plain,
% 169.48/170.75 ( c_divide(X0,c_0,X1) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12464_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19684,plain,
% 169.48/170.75 ( c_divide(X0,c_0,X1) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2812]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19685,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | c_divide(X1,c_0,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19684]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2809,plain,
% 169.48/170.75 ( c_divide(c_0,X0,X1) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12465_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19678,plain,
% 169.48/170.75 ( c_divide(c_0,X0,X1) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2809]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19679,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | c_divide(c_0,X1,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19678]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2807,plain,
% 169.48/170.75 ( c_uminus(c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_SetInterval_OatLeast(X0,X1)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12466_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19674,plain,
% 169.48/170.75 ( c_uminus(c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_SetInterval_OatLeast(X0,X1)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2807]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19675,plain,
% 169.48/170.75 ( ~ class_Orderings_Olinorder(X0)
% 169.48/170.75 | c_uminus(c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_SetInterval_OatLeast(X1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19674]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2805,plain,
% 169.48/170.75 ( c_uminus(c_SetInterval_OgreaterThan(X0,X1),tc_set(X1)) = c_SetInterval_OatMost(X0,X1)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12467_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19670,plain,
% 169.48/170.75 ( c_uminus(c_SetInterval_OgreaterThan(X0,X1),tc_set(X1)) = c_SetInterval_OatMost(X0,X1)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2805]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19671,plain,
% 169.48/170.75 ( ~ class_Orderings_Olinorder(X0)
% 169.48/170.75 | c_uminus(c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) = c_SetInterval_OatMost(X1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19670]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2803,plain,
% 169.48/170.75 ( c_uminus(c_SetInterval_OatMost(X0,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X0,X1)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12468_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19666,plain,
% 169.48/170.75 ( c_uminus(c_SetInterval_OatMost(X0,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X0,X1)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2803]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19667,plain,
% 169.48/170.75 ( ~ class_Orderings_Olinorder(X0)
% 169.48/170.75 | c_uminus(c_SetInterval_OatMost(X1,X0),tc_set(X0)) = c_SetInterval_OgreaterThan(X1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19666]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2801,plain,
% 169.48/170.75 ( c_uminus(c_SetInterval_OatLeast(X0,X1),tc_set(X1)) = c_SetInterval_OlessThan(X0,X1)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12469_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19662,plain,
% 169.48/170.75 ( c_uminus(c_SetInterval_OatLeast(X0,X1),tc_set(X1)) = c_SetInterval_OlessThan(X0,X1)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2801]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19663,plain,
% 169.48/170.75 ( ~ class_Orderings_Olinorder(X0)
% 169.48/170.75 | c_uminus(c_SetInterval_OatLeast(X1,X0),tc_set(X0)) = c_SetInterval_OlessThan(X1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19662]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2799,plain,
% 169.48/170.75 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1)
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12470_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19658,plain,
% 169.48/170.75 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1)
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2799]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19659,plain,
% 169.48/170.75 ( ~ class_Numeral_Onumber__ring(X0)
% 169.48/170.75 | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19658]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2797,plain,
% 169.48/170.75 ( c_Nat_Opower(c_0,c_Suc(X0),X1) = c_0 | ~ class_Power_Orecpower(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12471_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19654,plain,
% 169.48/170.75 ( c_Nat_Opower(c_0,c_Suc(X0),X1) = c_0 | ~ class_Power_Orecpower(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2797]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19655,plain,
% 169.48/170.75 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_0,c_Suc(X1),X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19654]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2791,plain,
% 169.48/170.75 ( c_divide(c_1,c_0,X0) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12475_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19642,plain,
% 169.48/170.75 ( c_divide(c_1,c_0,X0) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2791]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19643,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__field(X0)
% 169.48/170.75 | c_divide(c_1,c_0,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19642]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2788,plain,
% 169.48/170.75 ( c_divide(c_0,c_0,X0) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12476_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19636,plain,
% 169.48/170.75 ( c_divide(c_0,c_0,X0) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2788]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19637,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | c_divide(c_0,c_0,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19636]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2786,plain,
% 169.48/170.75 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12477_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19632,plain,
% 169.48/170.75 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2786]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19633,plain,
% 169.48/170.75 ( ~ class_Numeral_Onumber__ring(X0)
% 169.48/170.75 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19632]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2784,plain,
% 169.48/170.75 ( X0 = X1 | c_uminus(X0,tc_set(X2)) != c_uminus(X1,tc_set(X2)) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12478_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19628,plain,
% 169.48/170.75 ( X0 = X1 | c_uminus(X0,tc_set(X2)) != c_uminus(X1,tc_set(X2)) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2784]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19629,plain,
% 169.48/170.75 ( c_uminus(X0,tc_set(X1)) != c_uminus(X2,tc_set(X1)) | X0 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19628]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2782,plain,
% 169.48/170.75 ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12479_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19624,plain,
% 169.48/170.75 ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2782]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2780,plain,
% 169.48/170.75 ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 169.48/170.75 | ~ c_List_Odistinct(X0,X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12480_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19620,plain,
% 169.48/170.75 ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 169.48/170.75 | ~ c_List_Odistinct(X0,X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2780]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2778,plain,
% 169.48/170.75 ( c_Orderings_Omax(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12481_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19616,plain,
% 169.48/170.75 ( c_Orderings_Omax(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2778]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19617,plain,
% 169.48/170.75 ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omax(X1,X1,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19616]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2776,plain,
% 169.48/170.75 ( c_Orderings_Omin(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12482_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19612,plain,
% 169.48/170.75 ( c_Orderings_Omin(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2776]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19613,plain,
% 169.48/170.75 ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omin(X1,X1,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19612]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2774,plain,
% 169.48/170.75 ( c_LOrder_Omeet(X0,X0,X1) = X0 | ~ class_LOrder_Omeet__semilorder(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12483_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19608,plain,
% 169.48/170.75 ( c_LOrder_Omeet(X0,X0,X1) = X0 | ~ class_LOrder_Omeet__semilorder(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2774]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19609,plain,
% 169.48/170.75 ( ~ class_LOrder_Omeet__semilorder(X0) | c_LOrder_Omeet(X1,X1,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19608]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2772,plain,
% 169.48/170.75 ( c_LOrder_Ojoin(X0,X0,X1) = X0 | ~ class_LOrder_Ojoin__semilorder(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12484_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19604,plain,
% 169.48/170.75 ( c_LOrder_Ojoin(X0,X0,X1) = X0 | ~ class_LOrder_Ojoin__semilorder(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2772]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19605,plain,
% 169.48/170.75 ( ~ class_LOrder_Ojoin__semilorder(X0) | c_LOrder_Ojoin(X1,X1,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19604]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2770,plain,
% 169.48/170.75 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0
% 169.48/170.75 | c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12485_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19600,plain,
% 169.48/170.75 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0
% 169.48/170.75 | c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2770]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19601,plain,
% 169.48/170.75 ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 169.48/170.75 | c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19600]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2768,plain,
% 169.48/170.75 ( c_minus(X0,X0,X1) = c_0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12486_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19596,plain,
% 169.48/170.75 ( c_minus(X0,X0,X1) = c_0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2768]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19597,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,X1,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19596]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2766,plain,
% 169.48/170.75 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12487_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19592,plain,
% 169.48/170.75 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2766]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19593,plain,
% 169.48/170.75 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19592]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2764,plain,
% 169.48/170.75 ( c_times(c_1,X0,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12488_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19588,plain,
% 169.48/170.75 ( c_times(c_1,X0,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2764]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19589,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(c_1,X1,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19588]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2762,plain,
% 169.48/170.75 ( c_times(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12489_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19584,plain,
% 169.48/170.75 ( c_times(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2762]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19585,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(X1,c_1,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19584]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2760,plain,
% 169.48/170.75 ( c_divide(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12490_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19580,plain,
% 169.48/170.75 ( c_divide(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Ofield(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2760]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19581,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Ofield(X0) | c_divide(X1,c_1,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19580]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2758,plain,
% 169.48/170.75 ( c_Nat_Opower(X0,c_1,X1) = X0 | ~ class_Power_Orecpower(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12491_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19576,plain,
% 169.48/170.75 ( c_Nat_Opower(X0,c_1,X1) = X0 | ~ class_Power_Orecpower(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2758]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19577,plain,
% 169.48/170.75 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_1,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19576]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2756,plain,
% 169.48/170.75 ( c_times(X0,c_1,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12492_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19572,plain,
% 169.48/170.75 ( c_times(X0,c_1,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2756]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19573,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(X1,c_1,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19572]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2754,plain,
% 169.48/170.75 ( c_times(c_1,X0,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12493_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19568,plain,
% 169.48/170.75 ( c_times(c_1,X0,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2754]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19569,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(c_1,X1,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19568]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2752,plain,
% 169.48/170.75 ( c_minus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12494_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19564,plain,
% 169.48/170.75 ( c_minus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2752]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19565,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,c_0,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19564]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2750,plain,
% 169.48/170.75 ( c_plus(c_0,X0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12495_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19560,plain,
% 169.48/170.75 ( c_plus(c_0,X0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2750]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19561,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(c_0,X1,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19560]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2748,plain,
% 169.48/170.75 ( c_plus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12496_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19556,plain,
% 169.48/170.75 ( c_plus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2748]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19557,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(X1,c_0,X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19556]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2746,plain,
% 169.48/170.75 ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12497_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19552,plain,
% 169.48/170.75 ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2746]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19553,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.75 | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19552]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2744,plain,
% 169.48/170.75 ( c_HOL_Oabs(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12498_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19548,plain,
% 169.48/170.75 ( c_HOL_Oabs(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2744]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19549,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.75 | c_HOL_Oabs(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19548]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2740,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_HOL_Oinverse(X0,X2) != c_HOL_Oinverse(X1,X2)
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X2)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12501_3) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19540,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_HOL_Oinverse(X0,X2) != c_HOL_Oinverse(X1,X2)
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X2)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2740]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19541,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | c_HOL_Oinverse(X1,X0) != c_HOL_Oinverse(X2,X0)
% 169.48/170.75 | X1 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19540]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2738,plain,
% 169.48/170.75 ( c_times(X0,c_0,X1) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12503_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19536,plain,
% 169.48/170.75 ( c_times(X0,c_0,X1) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2738]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19537,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.75 | c_times(X1,c_0,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19536]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2736,plain,
% 169.48/170.75 ( c_times(c_0,X0,X1) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12504_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19532,plain,
% 169.48/170.75 ( c_times(c_0,X0,X1) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2736]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19533,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.75 | c_times(c_0,X1,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19532]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2734,plain,
% 169.48/170.75 ( c_times(X0,c_0,X1) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12505_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19528,plain,
% 169.48/170.75 ( c_times(X0,c_0,X1) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2734]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19529,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.75 | c_times(X1,c_0,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19528]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2732,plain,
% 169.48/170.75 ( c_times(c_0,X0,X1) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12506_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19524,plain,
% 169.48/170.75 ( c_times(c_0,X0,X1) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2732]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19525,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.75 | c_times(c_0,X1,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19524]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2730,plain,
% 169.48/170.75 ( c_Nat_Opower(X0,c_0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12507_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19520,plain,
% 169.48/170.75 ( c_Nat_Opower(X0,c_0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2730]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19521,plain,
% 169.48/170.75 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_0,X0) = c_1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19520]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2728,plain,
% 169.48/170.75 ( c_Nat_Opower(c_1,X0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12508_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19516,plain,
% 169.48/170.75 ( c_Nat_Opower(c_1,X0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2728]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19517,plain,
% 169.48/170.75 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_1,X1,X0) = c_1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19516]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2726,plain,
% 169.48/170.75 ( c_lessequals(c_0,c_1,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12517_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19512,plain,
% 169.48/170.75 ( c_lessequals(c_0,c_1,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2726]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19513,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.75 | c_lessequals(c_0,c_1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19512]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2724,plain,
% 169.48/170.75 ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12518_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19508,plain,
% 169.48/170.75 ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2724]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19509,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0) | c_less(c_0,c_1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19508]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2722,plain,
% 169.48/170.75 ( c_in(c_1,c_IntDef_ONats,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12519_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19504,plain,
% 169.48/170.75 ( c_in(c_1,c_IntDef_ONats,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2722]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19505,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.75 | c_in(c_1,c_IntDef_ONats,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19504]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2720,plain,
% 169.48/170.75 ( c_in(c_0,c_IntDef_ONats,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12520_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19500,plain,
% 169.48/170.75 ( c_in(c_0,c_IntDef_ONats,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2720]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19501,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.75 | c_in(c_0,c_IntDef_ONats,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19500]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2718,plain,
% 169.48/170.75 ( c_in(c_1,c_IntDef_OInts,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12521_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19496,plain,
% 169.48/170.75 ( c_in(c_1,c_IntDef_OInts,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2718]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19497,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.48/170.75 | c_in(c_1,c_IntDef_OInts,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19496]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2716,plain,
% 169.48/170.75 ( c_in(c_0,c_IntDef_OInts,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12522_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19492,plain,
% 169.48/170.75 ( c_in(c_0,c_IntDef_OInts,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2716]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19493,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.48/170.75 | c_in(c_0,c_IntDef_OInts,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19492]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2714,plain,
% 169.48/170.75 ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X0,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X0,X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12523_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19488,plain,
% 169.48/170.75 ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X0,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X0,X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2714]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19489,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.48/170.75 | c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19488]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2712,plain,
% 169.48/170.75 ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.48/170.75 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12532_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19484,plain,
% 169.48/170.75 ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 169.48/170.75 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2712]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2709,plain,
% 169.48/170.75 ( c_HOL_Oinverse(c_HOL_Oinverse(X0,X1),X1) = X0
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12535_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19478,plain,
% 169.48/170.75 ( c_HOL_Oinverse(c_HOL_Oinverse(X0,X1),X1) = X0
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2709]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19479,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | c_HOL_Oinverse(c_HOL_Oinverse(X1,X0),X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19478]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2707,plain,
% 169.48/170.75 ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12537_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19474,plain,
% 169.48/170.75 ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2707]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2705,plain,
% 169.48/170.75 ( X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))
% 169.48/170.75 | c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12539_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19470,plain,
% 169.48/170.75 ( X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))
% 169.48/170.75 | c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2705]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19471,plain,
% 169.48/170.75 ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 169.48/170.75 | X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19470]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2702,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X1,X2)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X2) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12556_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19464,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X1,X2)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X2) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2702]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19465,plain,
% 169.48/170.75 ( ~ class_Orderings_Olinorder(X0)
% 169.48/170.75 | c_SetInterval_OlessThan(X1,X0) != c_SetInterval_OlessThan(X2,X0)
% 169.48/170.75 | X1 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19464]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2699,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X1,X2)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X2) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12557_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19458,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X1,X2)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X2) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2699]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19459,plain,
% 169.48/170.75 ( ~ class_Orderings_Olinorder(X0)
% 169.48/170.75 | c_SetInterval_OgreaterThan(X1,X0) != c_SetInterval_OgreaterThan(X2,X0)
% 169.48/170.75 | X1 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19458]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2696,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X1,X2)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X2) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12558_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19452,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X1,X2)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X2) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2696]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19453,plain,
% 169.48/170.75 ( ~ class_Orderings_Olinorder(X0)
% 169.48/170.75 | c_SetInterval_OatMost(X1,X0) != c_SetInterval_OatMost(X2,X0)
% 169.48/170.75 | X1 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19452]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2693,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X1,X2)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X2) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12559_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19446,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X1,X2)
% 169.48/170.75 | ~ class_Orderings_Olinorder(X2) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2693]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19447,plain,
% 169.48/170.75 ( ~ class_Orderings_Olinorder(X0)
% 169.48/170.75 | c_SetInterval_OatLeast(X1,X0) != c_SetInterval_OatLeast(X2,X0)
% 169.48/170.75 | X1 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19446]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2690,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_uminus(X0,X2) != c_uminus(X1,X2)
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12560_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19440,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_uminus(X0,X2) != c_uminus(X1,X2)
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2690]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19441,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.75 | c_uminus(X1,X0) != c_uminus(X2,X0)
% 169.48/170.75 | X1 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19440]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2687,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_NatArith_Oof__nat(X0,X2) != c_NatArith_Oof__nat(X1,X2)
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12561_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19434,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_NatArith_Oof__nat(X0,X2) != c_NatArith_Oof__nat(X1,X2)
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2687]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19435,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.75 | c_NatArith_Oof__nat(X1,X0) != c_NatArith_Oof__nat(X2,X0)
% 169.48/170.75 | X1 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19434]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2684,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_IntDef_Oof__int(X0,X2) != c_IntDef_Oof__int(X1,X2)
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12562_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19428,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_IntDef_Oof__int(X0,X2) != c_IntDef_Oof__int(X1,X2)
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2684]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19429,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.75 | c_IntDef_Oof__int(X1,X0) != c_IntDef_Oof__int(X2,X0)
% 169.48/170.75 | X1 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19428]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2682,plain,
% 169.48/170.75 ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12563_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19424,plain,
% 169.48/170.75 ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2682]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19425,plain,
% 169.48/170.75 ( ~ class_Numeral_Onumber__ring(X0)
% 169.48/170.75 | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19424]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2680,plain,
% 169.48/170.75 ( X0 = c_0 | c_less(c_0,X0,tc_nat) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12573_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19420,plain,
% 169.48/170.75 ( X0 = c_0 | c_less(c_0,X0,tc_nat) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2680]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19421,plain,
% 169.48/170.75 ( c_less(c_0,X0,tc_nat) | X0 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19420]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2674,plain,
% 169.48/170.75 ( c_uminus(c_uminus(c_1,X0),X0) = c_1
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.75 | ~ class_HOL_Oone(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12624_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19408,plain,
% 169.48/170.75 ( c_uminus(c_uminus(c_1,X0),X0) = c_1
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.75 | ~ class_HOL_Oone(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2674]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19409,plain,
% 169.48/170.75 ( ~ class_HOL_Oone(X0)
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.75 | c_uminus(c_uminus(c_1,X0),X0) = c_1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19408]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2667,plain,
% 169.48/170.75 ( X0 = c_uminus(c_1,X1)
% 169.48/170.75 | c_uminus(X0,X1) != c_1
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X1)
% 169.48/170.75 | ~ class_HOL_Oone(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12626_3) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19394,plain,
% 169.48/170.75 ( X0 = c_uminus(c_1,X1)
% 169.48/170.75 | c_uminus(X0,X1) != c_1
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X1)
% 169.48/170.75 | ~ class_HOL_Oone(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2667]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19395,plain,
% 169.48/170.75 ( ~ class_HOL_Oone(X0)
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.75 | c_uminus(X1,X0) != c_1
% 169.48/170.75 | X1 = c_uminus(c_1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19394]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2665,plain,
% 169.48/170.75 ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12627_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19390,plain,
% 169.48/170.75 ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2665]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2663,plain,
% 169.48/170.75 ( c_uminus(c_uminus(X0,X1),X1) = X0
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12633_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19386,plain,
% 169.48/170.75 ( c_uminus(c_uminus(X0,X1),X1) = X0
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2663]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19387,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.75 | c_uminus(c_uminus(X1,X0),X0) = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19386]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2661,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_Message_Omsg_OCrypt(X2,X0) != c_Message_Omsg_OCrypt(X3,X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12634_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19382,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_Message_Omsg_OCrypt(X2,X0) != c_Message_Omsg_OCrypt(X3,X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2661]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19383,plain,
% 169.48/170.75 ( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3)
% 169.48/170.75 | X1 = X3 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19382]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2659,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_Message_Omsg_OCrypt(X0,X2) != c_Message_Omsg_OCrypt(X1,X3) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12635_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19378,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_Message_Omsg_OCrypt(X0,X2) != c_Message_Omsg_OCrypt(X1,X3) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2659]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19379,plain,
% 169.48/170.75 ( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3)
% 169.48/170.75 | X0 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19378]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2657,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_Message_Omsg_OMPair(X2,X0) != c_Message_Omsg_OMPair(X3,X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12636_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19374,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_Message_Omsg_OMPair(X2,X0) != c_Message_Omsg_OMPair(X3,X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2657]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19375,plain,
% 169.48/170.75 ( c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3)
% 169.48/170.75 | X1 = X3 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19374]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2655,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_Message_Omsg_OMPair(X0,X2) != c_Message_Omsg_OMPair(X1,X3) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12637_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19370,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_Message_Omsg_OMPair(X0,X2) != c_Message_Omsg_OMPair(X1,X3) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2655]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19371,plain,
% 169.48/170.75 ( c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3)
% 169.48/170.75 | X0 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19370]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2653,plain,
% 169.48/170.75 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12638_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19366,plain,
% 169.48/170.75 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2653]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19367,plain,
% 169.48/170.75 ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19366]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2651,plain,
% 169.48/170.75 ( X0 = X1 | c_List_Ochar_OChar(X2,X0) != c_List_Ochar_OChar(X3,X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12639_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19362,plain,
% 169.48/170.75 ( X0 = X1 | c_List_Ochar_OChar(X2,X0) != c_List_Ochar_OChar(X3,X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2651]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19363,plain,
% 169.48/170.75 ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X1 = X3 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19362]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2649,plain,
% 169.48/170.75 ( X0 = X1 | c_List_Ochar_OChar(X0,X2) != c_List_Ochar_OChar(X1,X3) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12640_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19358,plain,
% 169.48/170.75 ( X0 = X1 | c_List_Ochar_OChar(X0,X2) != c_List_Ochar_OChar(X1,X3) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2649]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19359,plain,
% 169.48/170.75 ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X0 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19358]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2647,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_Datatype_Ooption_OSome(X0,X2) != c_Datatype_Ooption_OSome(X1,X2) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12641_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19354,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_Datatype_Ooption_OSome(X0,X2) != c_Datatype_Ooption_OSome(X1,X2) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2647]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19355,plain,
% 169.48/170.75 ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1)
% 169.48/170.75 | X0 = X2 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19354]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2644,plain,
% 169.48/170.75 ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X0)
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12646_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19348,plain,
% 169.48/170.75 ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X0)
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2644]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2641,plain,
% 169.48/170.75 ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X0)
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12647_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19342,plain,
% 169.48/170.75 ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X0)
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2641]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2638,plain,
% 169.48/170.75 ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X0)
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12648_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19336,plain,
% 169.48/170.75 ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X0)
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2638]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2636,plain,
% 169.48/170.75 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12649_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19332,plain,
% 169.48/170.75 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2636]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19333,plain,
% 169.48/170.75 ( ~ class_Numeral_Onumber__ring(X0)
% 169.48/170.75 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19332]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2634,plain,
% 169.48/170.75 ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 169.48/170.75 | X0 = c_Datatype_Ooption_ONone ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12650_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19328,plain,
% 169.48/170.75 ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 169.48/170.75 | X0 = c_Datatype_Ooption_ONone ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2634]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2632,plain,
% 169.48/170.75 ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 169.48/170.75 | X0 = c_Datatype_Ooption_ONone ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12651_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19324,plain,
% 169.48/170.75 ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 169.48/170.75 | X0 = c_Datatype_Ooption_ONone ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2632]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2630,plain,
% 169.48/170.75 ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12652_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19320,plain,
% 169.48/170.75 ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2630]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19321,plain,
% 169.48/170.75 ( ~ class_Numeral_Onumber__ring(X0)
% 169.48/170.75 | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19320]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2628,plain,
% 169.48/170.75 ( c_IntDef_Oof__int(c_IntDef_Oint(X0),X1) = c_NatArith_Oof__nat(X0,X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12653_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19316,plain,
% 169.48/170.75 ( c_IntDef_Oof__int(c_IntDef_Oint(X0),X1) = c_NatArith_Oof__nat(X0,X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2628]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19317,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.48/170.75 | c_IntDef_Oof__int(c_IntDef_Oint(X1),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19316]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2624,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_HOL_Oinverse(X0,X1) != c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12665_3) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19308,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_HOL_Oinverse(X0,X1) != c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2624]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19309,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | c_HOL_Oinverse(X1,X0) != c_0
% 169.48/170.75 | X1 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19308]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2620,plain,
% 169.48/170.75 ( X0 = c_1
% 169.48/170.75 | c_HOL_Oinverse(X0,X1) != c_1
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12666_3) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19300,plain,
% 169.48/170.75 ( X0 = c_1
% 169.48/170.75 | c_HOL_Oinverse(X0,X1) != c_1
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X1)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2620]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19301,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | c_HOL_Oinverse(X1,X0) != c_1
% 169.48/170.75 | X1 = c_1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19300]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2618,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12667_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19296,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2618]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19297,plain,
% 169.48/170.75 ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 169.48/170.75 | X1 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19296]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2616,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12668_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19292,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2616]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19293,plain,
% 169.48/170.75 ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 169.48/170.75 | X0 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19292]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2614,plain,
% 169.48/170.75 ( c_Union(X0,X1) = c_emptyset
% 169.48/170.75 | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12669_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19288,plain,
% 169.48/170.75 ( c_Union(X0,X1) = c_emptyset
% 169.48/170.75 | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2614]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2612,plain,
% 169.48/170.75 ( c_Union(X0,X1) = c_emptyset
% 169.48/170.75 | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12670_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19284,plain,
% 169.48/170.75 ( c_Union(X0,X1) = c_emptyset
% 169.48/170.75 | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2612]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2610,plain,
% 169.48/170.75 ( c_Inter(X0,X1) = c_UNIV
% 169.48/170.75 | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12671_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19280,plain,
% 169.48/170.75 ( c_Inter(X0,X1) = c_UNIV
% 169.48/170.75 | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2610]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2608,plain,
% 169.48/170.75 ( c_Inter(X0,X1) = c_UNIV
% 169.48/170.75 | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12672_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19276,plain,
% 169.48/170.75 ( c_Inter(X0,X1) = c_UNIV
% 169.48/170.75 | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2608]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2606,plain,
% 169.48/170.75 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.48/170.75 | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12673_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19272,plain,
% 169.48/170.75 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.48/170.75 | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2606]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2604,plain,
% 169.48/170.75 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.48/170.75 | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12674_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19268,plain,
% 169.48/170.75 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 169.48/170.75 | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2604]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2602,plain,
% 169.48/170.75 ( X0 = c_List_Olist_ONil | c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12676_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19264,plain,
% 169.48/170.75 ( X0 = c_List_Olist_ONil | c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2602]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19265,plain,
% 169.48/170.75 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 | X0 = c_List_Olist_ONil ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19264]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2600,plain,
% 169.48/170.75 ( c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0)
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12678_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19260,plain,
% 169.48/170.75 ( c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0)
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2600]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19261,plain,
% 169.48/170.75 ( ~ class_Numeral_Onumber__ring(X0)
% 169.48/170.75 | c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19260]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2598,plain,
% 169.48/170.75 ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12679_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19256,plain,
% 169.48/170.75 ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2598]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2595,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_uminus(X0,X1) != c_0
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12680_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19250,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_uminus(X0,X1) != c_0
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2595]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19251,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.75 | c_uminus(X1,X0) != c_0
% 169.48/170.75 | X1 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19250]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2592,plain,
% 169.48/170.75 ( c_0 = X0
% 169.48/170.75 | c_uminus(X0,X1) != c_0
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12681_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19244,plain,
% 169.48/170.75 ( c_0 = X0
% 169.48/170.75 | c_uminus(X0,X1) != c_0
% 169.48/170.75 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2592]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19245,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.75 | c_0 = X1
% 169.48/170.75 | c_uminus(X1,X0) != c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19244]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2586,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_HOL_Oabs(X0,X1) != c_0
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12683_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19232,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_HOL_Oabs(X0,X1) != c_0
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2586]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19233,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.75 | c_HOL_Oabs(X1,X0) != c_0
% 169.48/170.75 | X1 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19232]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2583,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_NatArith_Oof__nat(X0,X1) != c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12684_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19226,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_NatArith_Oof__nat(X0,X1) != c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2583]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19227,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.75 | c_NatArith_Oof__nat(X1,X0) != c_0
% 169.48/170.75 | X1 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19226]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2580,plain,
% 169.48/170.75 ( c_0 = X0
% 169.48/170.75 | c_NatArith_Oof__nat(X0,X1) != c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12685_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19220,plain,
% 169.48/170.75 ( c_0 = X0
% 169.48/170.75 | c_NatArith_Oof__nat(X0,X1) != c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2580]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19221,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.75 | c_0 = X1
% 169.48/170.75 | c_NatArith_Oof__nat(X1,X0) != c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19220]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2577,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_IntDef_Oof__int(X0,X1) != c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12686_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19214,plain,
% 169.48/170.75 ( X0 = c_0
% 169.48/170.75 | c_IntDef_Oof__int(X0,X1) != c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2577]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19215,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.75 | c_IntDef_Oof__int(X1,X0) != c_0
% 169.48/170.75 | X1 = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19214]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2574,plain,
% 169.48/170.75 ( c_0 = X0
% 169.48/170.75 | c_IntDef_Oof__int(X0,X1) != c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12687_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19208,plain,
% 169.48/170.75 ( c_0 = X0
% 169.48/170.75 | c_IntDef_Oof__int(X0,X1) != c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2574]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19209,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.75 | c_0 = X1
% 169.48/170.75 | c_IntDef_Oof__int(X1,X0) != c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19208]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2572,plain,
% 169.48/170.75 ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12690_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19204,plain,
% 169.48/170.75 ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2572]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19205,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19204]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2570,plain,
% 169.48/170.75 ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12691_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19200,plain,
% 169.48/170.75 ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2570]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19201,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_0,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19200]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2568,plain,
% 169.48/170.75 ( ~ c_IntDef_Oiszero(c_1,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12692_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19196,plain,
% 169.48/170.75 ( ~ c_IntDef_Oiszero(c_1,X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2568]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19197,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.75 | ~ c_IntDef_Oiszero(c_1,X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19196]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2565,plain,
% 169.48/170.75 ( c_HOL_Oinverse(c_0,X0) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12693_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19190,plain,
% 169.48/170.75 ( c_HOL_Oinverse(c_0,X0) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2565]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19191,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | c_HOL_Oinverse(c_0,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19190]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2562,plain,
% 169.48/170.75 ( c_HOL_Oinverse(c_1,X0) = c_1
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12694_2) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19184,plain,
% 169.48/170.75 ( c_HOL_Oinverse(c_1,X0) = c_1
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2562]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19185,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Ofield(X0)
% 169.48/170.75 | c_HOL_Oinverse(c_1,X0) = c_1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19184]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2558,plain,
% 169.48/170.75 ( X0 = c_List_Olist_ONil | c_List_Oset(X0,X1) != c_emptyset ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12697_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19176,plain,
% 169.48/170.75 ( X0 = c_List_Olist_ONil | c_List_Oset(X0,X1) != c_emptyset ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2558]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19177,plain,
% 169.48/170.75 ( c_List_Oset(X0,X1) != c_emptyset | X0 = c_List_Olist_ONil ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19176]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2556,plain,
% 169.48/170.75 ( X0 = c_List_Olist_ONil | c_List_Orotate1(X0,X1) != c_List_Olist_ONil ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12698_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19172,plain,
% 169.48/170.75 ( X0 = c_List_Olist_ONil | c_List_Orotate1(X0,X1) != c_List_Olist_ONil ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2556]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19173,plain,
% 169.48/170.75 ( c_List_Orotate1(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19172]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2550,plain,
% 169.48/170.75 ( X0 = c_List_Olist_ONil | c_List_Oremdups(X0,X1) != c_List_Olist_ONil ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12701_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19160,plain,
% 169.48/170.75 ( X0 = c_List_Olist_ONil | c_List_Oremdups(X0,X1) != c_List_Olist_ONil ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2550]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19161,plain,
% 169.48/170.75 ( c_List_Oremdups(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19160]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2548,plain,
% 169.48/170.75 ( X0 = c_List_Olist_ONil | c_List_Orev(X0,X1) != c_List_Olist_ONil ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12702_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19156,plain,
% 169.48/170.75 ( X0 = c_List_Olist_ONil | c_List_Orev(X0,X1) != c_List_Olist_ONil ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2548]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19157,plain,
% 169.48/170.75 ( c_List_Orev(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19156]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2546,plain,
% 169.48/170.75 ( X0 = c_Datatype_Ooption_ONone | c_Datatype_Oo2s(X0,X1) != c_emptyset ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12703_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19152,plain,
% 169.48/170.75 ( X0 = c_Datatype_Ooption_ONone | c_Datatype_Oo2s(X0,X1) != c_emptyset ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2546]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19153,plain,
% 169.48/170.75 ( c_Datatype_Oo2s(X0,X1) != c_emptyset | X0 = c_Datatype_Ooption_ONone ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19152]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2544,plain,
% 169.48/170.75 ( c_HOL_Oabs(c_1,X0) = c_1
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12707_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19148,plain,
% 169.48/170.75 ( c_HOL_Oabs(c_1,X0) = c_1
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2544]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19149,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.75 | c_HOL_Oabs(c_1,X0) = c_1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19148]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2542,plain,
% 169.48/170.75 ( c_OrderedGroup_Opprt(c_0,X0) = c_0
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12708_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19144,plain,
% 169.48/170.75 ( c_OrderedGroup_Opprt(c_0,X0) = c_0
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2542]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19145,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.48/170.75 | c_OrderedGroup_Opprt(c_0,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19144]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2540,plain,
% 169.48/170.75 ( c_OrderedGroup_Onprt(c_0,X0) = c_0
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12709_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19140,plain,
% 169.48/170.75 ( c_OrderedGroup_Onprt(c_0,X0) = c_0
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2540]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19141,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.48/170.75 | c_OrderedGroup_Onprt(c_0,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19140]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2536,plain,
% 169.48/170.75 ( c_uminus(c_0,X0) = c_0 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12711_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19132,plain,
% 169.48/170.75 ( c_uminus(c_0,X0) = c_0 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2536]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19133,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Oab__group__add(X0) | c_uminus(c_0,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19132]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2532,plain,
% 169.48/170.75 ( c_HOL_Oabs(c_0,X0) = c_0
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12713_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19124,plain,
% 169.48/170.75 ( c_HOL_Oabs(c_0,X0) = c_0
% 169.48/170.75 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2532]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19125,plain,
% 169.48/170.75 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.75 | c_HOL_Oabs(c_0,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19124]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2530,plain,
% 169.48/170.75 ( c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12714_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19120,plain,
% 169.48/170.75 ( c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0
% 169.48/170.75 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2530]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19121,plain,
% 169.48/170.75 ( ~ class_Numeral_Onumber__ring(X0)
% 169.48/170.75 | c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19120]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2526,plain,
% 169.48/170.75 ( c_NatArith_Oof__nat(c_1,X0) = c_1
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12716_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19112,plain,
% 169.48/170.75 ( c_NatArith_Oof__nat(c_1,X0) = c_1
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2526]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19113,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.75 | c_NatArith_Oof__nat(c_1,X0) = c_1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19112]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2524,plain,
% 169.48/170.75 ( c_NatArith_Oof__nat(c_0,X0) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12717_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19108,plain,
% 169.48/170.75 ( c_NatArith_Oof__nat(c_0,X0) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2524]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19109,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.75 | c_NatArith_Oof__nat(c_0,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19108]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2520,plain,
% 169.48/170.75 ( c_IntDef_Oof__int(c_1,X0) = c_1
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12719_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19100,plain,
% 169.48/170.75 ( c_IntDef_Oof__int(c_1,X0) = c_1
% 169.48/170.75 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2520]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19101,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.48/170.75 | c_IntDef_Oof__int(c_1,X0) = c_1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19100]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2518,plain,
% 169.48/170.75 ( c_IntDef_Oof__int(c_0,X0) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12720_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19096,plain,
% 169.48/170.75 ( c_IntDef_Oof__int(c_0,X0) = c_0
% 169.48/170.75 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2518]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19097,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.75 | c_IntDef_Oof__int(c_0,X0) = c_0 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19096]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2516,plain,
% 169.48/170.75 ( class_Finite__Set_Ofinite(tc_set(X0))
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12734_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19092,plain,
% 169.48/170.75 ( class_Finite__Set_Ofinite(tc_set(X0))
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2516]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2514,plain,
% 169.48/170.75 ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12735_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19088,plain,
% 169.48/170.75 ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 169.48/170.75 | ~ class_Finite__Set_Ofinite(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2514]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2512,plain,
% 169.48/170.75 ( X0 = X1 | c_Message_Omsg_OHash(X0) != c_Message_Omsg_OHash(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12739_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19084,plain,
% 169.48/170.75 ( X0 = X1 | c_Message_Omsg_OHash(X0) != c_Message_Omsg_OHash(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2512]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19085,plain,
% 169.48/170.75 ( c_Message_Omsg_OHash(X0) != c_Message_Omsg_OHash(X1) | X0 = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19084]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2510,plain,
% 169.48/170.75 ( X0 = X1 | c_Message_Omsg_OKey(X0) != c_Message_Omsg_OKey(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12740_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19080,plain,
% 169.48/170.75 ( X0 = X1 | c_Message_Omsg_OKey(X0) != c_Message_Omsg_OKey(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2510]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19081,plain,
% 169.48/170.75 ( c_Message_Omsg_OKey(X0) != c_Message_Omsg_OKey(X1) | X0 = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19080]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2508,plain,
% 169.48/170.75 ( X0 = X1 | c_Message_Omsg_ONonce(X0) != c_Message_Omsg_ONonce(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12741_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19076,plain,
% 169.48/170.75 ( X0 = X1 | c_Message_Omsg_ONonce(X0) != c_Message_Omsg_ONonce(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2508]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19077,plain,
% 169.48/170.75 ( c_Message_Omsg_ONonce(X0) != c_Message_Omsg_ONonce(X1) | X0 = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19076]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2506,plain,
% 169.48/170.75 ( X0 = X1 | c_Message_Omsg_ONumber(X0) != c_Message_Omsg_ONumber(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12742_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19072,plain,
% 169.48/170.75 ( X0 = X1 | c_Message_Omsg_ONumber(X0) != c_Message_Omsg_ONumber(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2506]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19073,plain,
% 169.48/170.75 ( c_Message_Omsg_ONumber(X0) != c_Message_Omsg_ONumber(X1) | X0 = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19072]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2504,plain,
% 169.48/170.75 ( X0 = X1 | c_Message_Omsg_OAgent(X0) != c_Message_Omsg_OAgent(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12743_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19068,plain,
% 169.48/170.75 ( X0 = X1 | c_Message_Omsg_OAgent(X0) != c_Message_Omsg_OAgent(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2504]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19069,plain,
% 169.48/170.75 ( c_Message_Omsg_OAgent(X0) != c_Message_Omsg_OAgent(X1) | X0 = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19068]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2502,plain,
% 169.48/170.75 ( X0 = X1 | c_Message_OinvKey(X0) != c_Message_OinvKey(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12744_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19064,plain,
% 169.48/170.75 ( X0 = X1 | c_Message_OinvKey(X0) != c_Message_OinvKey(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2502]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19065,plain,
% 169.48/170.75 ( c_Message_OinvKey(X0) != c_Message_OinvKey(X1) | X0 = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19064]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2500,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OFriend(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12745_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19060,plain,
% 169.48/170.75 ( X0 = X1
% 169.48/170.75 | c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OFriend(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2500]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19061,plain,
% 169.48/170.75 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OFriend(X1)
% 169.48/170.75 | X0 = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19060]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2498,plain,
% 169.48/170.75 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12746_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19056,plain,
% 169.48/170.75 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2498]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19057,plain,
% 169.48/170.75 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19056]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2496,plain,
% 169.48/170.75 ( X0 = X1 | c_IntDef_Oint(X0) != c_IntDef_Oint(X1) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12747_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19052,plain,
% 169.48/170.75 ( X0 = X1 | c_IntDef_Oint(X0) != c_IntDef_Oint(X1) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2496]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19053,plain,
% 169.48/170.75 ( c_IntDef_Oint(X0) != c_IntDef_Oint(X1) | X0 = X1 ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19052]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2494,plain,
% 169.48/170.75 ( class_Orderings_Olinorder(X0)
% 169.48/170.75 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12783_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19048,plain,
% 169.48/170.75 ( class_Orderings_Olinorder(X0)
% 169.48/170.75 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2494]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2492,plain,
% 169.48/170.75 ( class_LOrder_Olorder(X0)
% 169.48/170.75 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12784_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19044,plain,
% 169.48/170.75 ( class_LOrder_Olorder(X0)
% 169.48/170.75 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2492]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2490,plain,
% 169.48/170.75 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.75 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12785_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19040,plain,
% 169.48/170.75 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.75 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2490]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2488,plain,
% 169.48/170.75 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.75 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12786_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19036,plain,
% 169.48/170.75 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.75 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2488]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2486,plain,
% 169.48/170.75 ( class_Orderings_Oorder(X0)
% 169.48/170.75 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12787_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19032,plain,
% 169.48/170.75 ( class_Orderings_Oorder(X0)
% 169.48/170.75 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2486]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2484,plain,
% 169.48/170.75 ( class_Orderings_Oord(X0)
% 169.48/170.75 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12788_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19028,plain,
% 169.48/170.75 ( class_Orderings_Oord(X0)
% 169.48/170.75 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2484]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2482,plain,
% 169.48/170.75 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12789_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19024,plain,
% 169.48/170.75 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2482]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2480,plain,
% 169.48/170.75 ( class_HOL_Oplus(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12790_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19020,plain,
% 169.48/170.75 ( class_HOL_Oplus(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2480]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2478,plain,
% 169.48/170.75 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12791_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19016,plain,
% 169.48/170.75 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2478]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19017,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.75 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19016]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2476,plain,
% 169.48/170.75 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12792_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19012,plain,
% 169.48/170.75 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2476]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19013,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.75 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19012]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2474,plain,
% 169.48/170.75 ( class_HOL_Ozero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12793_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19008,plain,
% 169.48/170.75 ( class_HOL_Ozero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2474]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19009,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.75 | class_HOL_Ozero(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_19008]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2472,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12794_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19004,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2472]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2470,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12795_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_19000,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2470]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2468,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12796_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18996,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2468]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2466,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12797_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18992,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2466]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2464,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12798_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18988,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2464]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2462,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12799_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18984,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2462]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2460,plain,
% 169.48/170.75 ( class_HOL_Otimes(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12800_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18980,plain,
% 169.48/170.75 ( class_HOL_Otimes(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2460]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18981,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.75 | class_HOL_Otimes(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18980]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2458,plain,
% 169.48/170.75 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12801_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18976,plain,
% 169.48/170.75 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2458]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18977,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.75 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18976]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2456,plain,
% 169.48/170.75 ( class_HOL_Oone(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12802_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18972,plain,
% 169.48/170.75 ( class_HOL_Oone(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2456]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2454,plain,
% 169.48/170.75 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12803_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18968,plain,
% 169.48/170.75 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2454]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2452,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12804_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18964,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2452]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2450,plain,
% 169.48/170.75 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12805_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18960,plain,
% 169.48/170.75 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2450]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18961,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.75 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18960]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2448,plain,
% 169.48/170.75 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12806_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18956,plain,
% 169.48/170.75 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2448]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18957,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.75 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18956]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2446,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12807_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18952,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2446]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2444,plain,
% 169.48/170.75 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12808_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18948,plain,
% 169.48/170.75 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2444]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18949,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Otimes(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18948]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2442,plain,
% 169.48/170.75 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12809_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18944,plain,
% 169.48/170.75 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2442]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18945,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.75 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18944]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2440,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12810_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18940,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2440]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2438,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12811_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18936,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2438]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2436,plain,
% 169.48/170.75 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12812_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18932,plain,
% 169.48/170.75 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2436]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2434,plain,
% 169.48/170.75 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12813_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18928,plain,
% 169.48/170.75 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2434]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2432,plain,
% 169.48/170.75 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12814_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18924,plain,
% 169.48/170.75 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2432]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2430,plain,
% 169.48/170.75 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12815_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18920,plain,
% 169.48/170.75 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2430]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18921,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Ozero(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18920]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2428,plain,
% 169.48/170.75 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12816_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18916,plain,
% 169.48/170.75 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2428]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2426,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12817_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18912,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2426]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2424,plain,
% 169.48/170.75 ( class_HOL_Ozero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12818_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18908,plain,
% 169.48/170.75 ( class_HOL_Ozero(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2424]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18909,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.75 | class_HOL_Ozero(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18908]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2422,plain,
% 169.48/170.75 ( class_HOL_Oplus(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12819_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18904,plain,
% 169.48/170.75 ( class_HOL_Oplus(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2422]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18905,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.75 | class_HOL_Oplus(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18904]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2420,plain,
% 169.48/170.75 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12820_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18900,plain,
% 169.48/170.75 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2420]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18901,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.75 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18900]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2418,plain,
% 169.48/170.75 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12821_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18896,plain,
% 169.48/170.75 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2418]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18897,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.75 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18896]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2416,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12822_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18892,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2416]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2414,plain,
% 169.48/170.75 ( class_HOL_Otimes(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12823_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18888,plain,
% 169.48/170.75 ( class_HOL_Otimes(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2414]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18889,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.75 | class_HOL_Otimes(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18888]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2412,plain,
% 169.48/170.75 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12824_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18884,plain,
% 169.48/170.75 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2412]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18885,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.75 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18884]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2410,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12825_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18880,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2410]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2408,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12826_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18876,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2408]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2406,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12827_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18872,plain,
% 169.48/170.75 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2406]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2404,plain,
% 169.48/170.75 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12828_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18868,plain,
% 169.48/170.75 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2404]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18869,plain,
% 169.48/170.75 ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Ozero(X0) ),
% 169.48/170.75 inference(rewriting,[status(thm)],[c_18868]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2402,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12829_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18864,plain,
% 169.48/170.75 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.75 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.75 inference(copy,[status(esa)],[c_2402]) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_2400,plain,
% 169.48/170.75 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12830_1) ).
% 169.48/170.75
% 169.48/170.75 cnf(c_18860,plain,
% 169.48/170.75 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2400]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18861,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Otimes(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18860]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2398,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12831_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18856,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2398]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18857,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18856]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2396,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12832_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18852,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2396]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18853,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Oplus(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18852]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2394,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12833_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18848,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2394]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18849,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18848]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2392,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12834_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18844,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2392]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18845,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18844]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2390,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12835_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18840,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2390]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2388,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12836_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18836,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2388]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18837,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Otimes(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18836]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2386,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12837_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18832,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2386]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18833,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18832]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2384,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12838_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18828,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2384]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18829,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Oplus(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18828]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2382,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12839_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18824,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2382]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18825,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18824]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2380,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12840_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18820,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2380]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18821,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18820]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2378,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12841_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18816,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2378]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18817,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Otimes(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18816]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2376,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12842_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18812,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2376]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18813,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oring__1(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18812]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2374,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12843_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18808,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2374]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2372,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12844_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18804,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2372]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2370,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12845_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18800,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2370]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2368,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12846_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18796,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2368]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2366,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12847_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18792,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2366]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2364,plain,
% 169.48/170.76 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12848_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18788,plain,
% 169.48/170.76 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2364]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2362,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12849_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18784,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2362]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2360,plain,
% 169.48/170.76 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12850_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18780,plain,
% 169.48/170.76 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2360]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2358,plain,
% 169.48/170.76 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12851_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18776,plain,
% 169.48/170.76 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2358]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2356,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12852_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18772,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2356]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2354,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12853_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18768,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2354]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2352,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12854_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18764,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2352]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18765,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ozero(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18764]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2350,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12855_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18760,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2350]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2348,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12856_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18756,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2348]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18757,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oring__1(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18756]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2346,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12857_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18752,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2346]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18753,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oring__1(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18752]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2344,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12858_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18748,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2344]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2342,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12859_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18744,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2342]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2340,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12860_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18740,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2340]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2338,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12861_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18736,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2338]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18737,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ozero(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18736]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2336,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12862_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18732,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2336]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2334,plain,
% 169.48/170.76 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12863_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18728,plain,
% 169.48/170.76 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2334]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2332,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12864_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18724,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2332]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2330,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12865_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18720,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2330]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18721,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Otimes(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18720]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2328,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12866_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18716,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2328]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18717,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18716]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2326,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12867_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18712,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2326]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18713,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Oplus(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18712]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2324,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12868_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18708,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2324]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18709,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18708]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2322,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12869_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18704,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2322]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2320,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12870_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18700,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2320]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2318,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12871_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18696,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2318]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2316,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12872_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18692,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2316]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2314,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12873_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18688,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2314]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18689,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oring(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18688]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2312,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12874_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18684,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2312]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2310,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12875_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18680,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2310]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2308,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12876_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18676,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2308]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2306,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12877_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18672,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2306]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2304,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12878_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18668,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2304]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18669,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18668]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2302,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12879_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18664,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2302]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18665,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18664]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2300,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12880_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18660,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2300]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2298,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12881_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18656,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2298]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2296,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12882_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18652,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2296]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18653,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18652]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2294,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12883_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18648,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2294]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18649,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | class_Orderings_Oord(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18648]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2292,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12884_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18644,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2292]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2290,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12885_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18640,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2290]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2288,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12886_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18636,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2288]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2286,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12887_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18632,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2286]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2284,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12888_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18628,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2284]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18629,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18628]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2282,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12889_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18624,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2282]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2280,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12890_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18620,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2280]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2278,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12891_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18616,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2278]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2276,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12892_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18612,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2276]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2274,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12893_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18608,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2274]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2272,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12894_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18604,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2272]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2270,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12895_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18600,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2270]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2268,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12896_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18596,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2268]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2266,plain,
% 169.48/170.76 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12897_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18592,plain,
% 169.48/170.76 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2266]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2264,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12898_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18588,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2264]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2262,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12899_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18584,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2262]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18585,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 169.48/170.76 | class_Orderings_Oord(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18584]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2260,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12900_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18580,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2260]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2258,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12901_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18576,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2258]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2256,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12902_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18572,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2256]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2254,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12903_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18568,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2254]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2252,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12904_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18564,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2252]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2250,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12905_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18560,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2250]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18561,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18560]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2248,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12906_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18556,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2248]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18557,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18556]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2246,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12907_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18552,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2246]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2244,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12908_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18548,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2244]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2242,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12909_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18544,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2242]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2240,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12910_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18540,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2240]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18541,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18540]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2238,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12911_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18536,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2238]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18537,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18536]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2236,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12912_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18532,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2236]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2234,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12913_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18528,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2234]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2232,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12914_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18524,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2232]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18525,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18524]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2230,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12915_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18520,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2230]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2228,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12916_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18516,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2228]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2226,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12917_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18512,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2226]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18513,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18512]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2224,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12918_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18508,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2224]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2222,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12919_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18504,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2222]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18505,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | class_Orderings_Oord(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18504]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2220,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12920_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18500,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2220]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2218,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12921_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18496,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2218]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2216,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12922_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18492,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2216]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2214,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12923_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18488,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2214]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2212,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12924_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18484,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2212]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2210,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12925_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18480,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2210]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2208,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12926_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18476,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2208]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2206,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12927_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18472,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2206]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2204,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12928_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18468,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2204]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2202,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12929_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18464,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2202]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2200,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12930_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18460,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2200]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2198,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12931_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18456,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2198]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2196,plain,
% 169.48/170.76 ( class_HOL_Ominus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12932_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18452,plain,
% 169.48/170.76 ( class_HOL_Ominus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2196]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2194,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12933_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18448,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2194]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2192,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12934_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18444,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2192]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2190,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12935_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18440,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2190]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2188,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12936_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18436,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2188]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2186,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12937_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18432,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2186]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2184,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12938_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18428,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2184]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2182,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12939_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18424,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2182]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2180,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12940_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18420,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2180]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2178,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12941_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18416,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2178]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2176,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12942_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18412,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2176]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2174,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12943_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18408,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2174]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2172,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12944_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18404,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2172]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2170,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12945_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18400,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2170]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2168,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12946_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18396,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2168]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2166,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12947_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18392,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2166]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2164,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12948_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18388,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2164]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2162,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12949_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18384,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2162]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2160,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12950_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18380,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2160]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2158,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12951_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18376,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2158]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18377,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18376]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2156,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12952_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18372,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2156]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18373,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18372]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2154,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12953_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18368,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2154]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2152,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12954_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18364,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2152]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2150,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12955_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18360,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2150]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2148,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12956_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18356,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2148]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2146,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12957_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18352,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2146]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18353,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18352]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2144,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12958_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18348,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2144]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2142,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12959_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18344,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2142]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2140,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12960_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18340,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2140]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2138,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12961_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18336,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2138]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2136,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12962_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18332,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2136]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18333,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | class_Orderings_Oord(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18332]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2134,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12963_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18328,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2134]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2132,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12964_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18324,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2132]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2130,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12965_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18320,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2130]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2128,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12966_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18316,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2128]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2126,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12967_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18312,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2126]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2124,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12968_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18308,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2124]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2122,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12969_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18304,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2122]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2120,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12970_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18300,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2120]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18301,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18300]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2118,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12971_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18296,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2118]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2116,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12972_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18292,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2116]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2114,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12973_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18288,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2114]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18289,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18288]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2112,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12974_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18284,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2112]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2110,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12975_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18280,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2110]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2108,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12976_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18276,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2108]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2106,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12977_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18272,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2106]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2104,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12978_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18268,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2104]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2102,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12979_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18264,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2102]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2100,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12980_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18260,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2100]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18261,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.76 | class_Orderings_Oord(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18260]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2098,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12981_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18256,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2098]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2096,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12982_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18252,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2096]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2094,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12983_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18248,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2094]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18249,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18248]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2092,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12984_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18244,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2092]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18245,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18244]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2090,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12985_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18240,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2090]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2088,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12986_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18236,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2088]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2086,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12987_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18232,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2086]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2084,plain,
% 169.48/170.76 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12988_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18228,plain,
% 169.48/170.76 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2084]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2082,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12989_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18224,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2082]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2080,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12990_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18220,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2080]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2078,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12991_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18216,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2078]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18217,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18216]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2076,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12992_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18212,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2076]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18213,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18212]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2074,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12993_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18208,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2074]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2072,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12994_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18204,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2072]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2070,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12995_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18200,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2070]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2068,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12996_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18196,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2068]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2066,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12997_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18192,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2066]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2064,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12998_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18188,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2064]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2062,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12999_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18184,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2062]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18185,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18184]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2060,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13000_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18180,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2060]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2058,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13001_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18176,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2058]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18177,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.76 | class_Orderings_Oord(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18176]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2056,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13002_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18172,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2056]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2054,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13003_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18168,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2054]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2052,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13004_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18164,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2052]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2050,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13005_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18160,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2050]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2048,plain,
% 169.48/170.76 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13006_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18156,plain,
% 169.48/170.76 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2048]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2046,plain,
% 169.48/170.76 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13007_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18152,plain,
% 169.48/170.76 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2046]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2044,plain,
% 169.48/170.76 ( class_LOrder_Olorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13008_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18148,plain,
% 169.48/170.76 ( class_LOrder_Olorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2044]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2042,plain,
% 169.48/170.76 ( class_Orderings_Olinorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13009_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18144,plain,
% 169.48/170.76 ( class_Orderings_Olinorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2042]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2040,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13010_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18140,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2040]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2038,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13011_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18136,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2038]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2036,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13012_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18132,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2036]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2034,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13013_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18128,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2034]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2032,plain,
% 169.48/170.76 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13014_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18124,plain,
% 169.48/170.76 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2032]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2030,plain,
% 169.48/170.76 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13015_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18120,plain,
% 169.48/170.76 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2030]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2028,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13016_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18116,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2028]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2026,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13017_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18112,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2026]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2024,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13018_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18108,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2024]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2022,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13019_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18104,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2022]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2020,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13020_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18100,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2020]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2018,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13021_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18096,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2018]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2016,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13022_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18092,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2016]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2014,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13023_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18088,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2014]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2012,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13024_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18084,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2012]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2010,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13025_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18080,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2010]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2008,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13026_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18076,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2008]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2006,plain,
% 169.48/170.76 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13027_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18072,plain,
% 169.48/170.76 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2006]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2004,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13028_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18068,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2004]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2002,plain,
% 169.48/170.76 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13029_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18064,plain,
% 169.48/170.76 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2002]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_2000,plain,
% 169.48/170.76 ( class_LOrder_Olorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13030_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18060,plain,
% 169.48/170.76 ( class_LOrder_Olorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_2000]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1998,plain,
% 169.48/170.76 ( class_Orderings_Olinorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13031_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18056,plain,
% 169.48/170.76 ( class_Orderings_Olinorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1998]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1996,plain,
% 169.48/170.76 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13032_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18052,plain,
% 169.48/170.76 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1996]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1994,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13033_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18048,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1994]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1992,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13034_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18044,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1992]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1990,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13035_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18040,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1990]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1988,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13036_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18036,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1988]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18037,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18036]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1986,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13037_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18032,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1986]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1984,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13038_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18028,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1984]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18029,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18028]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1982,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13039_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18024,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1982]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1980,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13040_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18020,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1980]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1978,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13041_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18016,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1978]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1976,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13042_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18012,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1976]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1974,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13043_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18008,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1974]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1972,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13044_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18004,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1972]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18005,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_18004]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1970,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13045_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_18000,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1970]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1968,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13046_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17996,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1968]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1966,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13047_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17992,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1966]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1964,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13048_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17988,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1964]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17989,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_17988]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1962,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13049_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17984,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1962]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1960,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13050_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17980,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1960]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1958,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13051_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17976,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1958]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1956,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13052_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17972,plain,
% 169.48/170.76 ( class_HOL_Otimes(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1956]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1954,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13053_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17968,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1954]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17969,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_17968]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1952,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13054_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17964,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1952]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1950,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13055_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17960,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1950]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1948,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13056_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17956,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1948]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1946,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13057_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17952,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1946]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1944,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13058_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17948,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1944]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1942,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13059_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17944,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1942]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1940,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13060_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17940,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1940]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1938,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13061_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17936,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1938]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1936,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13062_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17932,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1936]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1934,plain,
% 169.48/170.76 ( class_Ring__and__Field_Olordered__ring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13063_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17928,plain,
% 169.48/170.76 ( class_Ring__and__Field_Olordered__ring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1934]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1932,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13064_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17924,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1932]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1930,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13065_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17920,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1930]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1928,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13066_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17916,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1928]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1926,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13067_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17912,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1926]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1924,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13068_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17908,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1924]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1922,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13069_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17904,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1922]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1920,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13070_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17900,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1920]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1918,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13071_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17896,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1918]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1916,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13072_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17892,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1916]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1914,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13073_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17888,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1914]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1912,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13074_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17884,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1912]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1910,plain,
% 169.48/170.76 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13075_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17880,plain,
% 169.48/170.76 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1910]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1908,plain,
% 169.48/170.76 ( class_HOL_Ominus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13076_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17876,plain,
% 169.48/170.76 ( class_HOL_Ominus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1908]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1906,plain,
% 169.48/170.76 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13077_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17872,plain,
% 169.48/170.76 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1906]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1904,plain,
% 169.48/170.76 ( class_LOrder_Olorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13078_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17868,plain,
% 169.48/170.76 ( class_LOrder_Olorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1904]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1902,plain,
% 169.48/170.76 ( class_Orderings_Olinorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13079_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17864,plain,
% 169.48/170.76 ( class_Orderings_Olinorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1902]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1900,plain,
% 169.48/170.76 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13080_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17860,plain,
% 169.48/170.76 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1900]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1898,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13081_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17856,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1898]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1896,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13082_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17852,plain,
% 169.48/170.76 ( class_HOL_Ozero(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1896]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1894,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13083_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17848,plain,
% 169.48/170.76 ( class_HOL_Oplus(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1894]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1892,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13084_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17844,plain,
% 169.48/170.76 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1892]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17845,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.48/170.76 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_17844]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1890,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13085_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17840,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1890]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17841,plain,
% 169.48/170.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.48/170.76 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.76 inference(rewriting,[status(thm)],[c_17840]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1888,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13086_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17836,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1888]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1886,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13087_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17832,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1886]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1884,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13088_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17828,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1884]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1882,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13089_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17824,plain,
% 169.48/170.76 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1882]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1880,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13090_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17820,plain,
% 169.48/170.76 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1880]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1878,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13091_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17816,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1878]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1876,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13092_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17812,plain,
% 169.48/170.76 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1876]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1874,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oidom(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13093_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17808,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oidom(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1874]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1872,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13094_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17804,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1872]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1870,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13095_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17800,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1870]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1868,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13096_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17796,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1868]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1866,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13097_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17792,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1866]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1864,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13098_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17788,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1864]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1862,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13099_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17784,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1862]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1860,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13100_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17780,plain,
% 169.48/170.76 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1860]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1858,plain,
% 169.48/170.76 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13101_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17776,plain,
% 169.48/170.76 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1858]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1856,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13102_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17772,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1856]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1854,plain,
% 169.48/170.76 ( class_Ring__and__Field_Olordered__ring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13103_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17768,plain,
% 169.48/170.76 ( class_Ring__and__Field_Olordered__ring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1854]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1852,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13104_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17764,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1852]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1850,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13105_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17760,plain,
% 169.48/170.76 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1850]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1848,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13106_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17756,plain,
% 169.48/170.76 ( class_Orderings_Oord(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1848]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1846,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13107_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17752,plain,
% 169.48/170.76 ( class_Orderings_Oorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1846]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1844,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13108_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17748,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1844]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1842,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13109_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17744,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1842]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1840,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13110_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17740,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1840]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1838,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13111_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17736,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1838]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1836,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13112_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17732,plain,
% 169.48/170.76 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1836]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1834,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13113_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17728,plain,
% 169.48/170.76 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1834]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1832,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13114_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17724,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1832]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1830,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13115_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17720,plain,
% 169.48/170.76 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1830]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1828,plain,
% 169.48/170.76 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13116_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17716,plain,
% 169.48/170.76 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1828]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1826,plain,
% 169.48/170.76 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13117_1) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_17712,plain,
% 169.48/170.76 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.76 inference(copy,[status(esa)],[c_1826]) ).
% 169.48/170.76
% 169.48/170.76 cnf(c_1824,plain,
% 169.48/170.76 ( class_LOrder_Olorder(X0)
% 169.48/170.76 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13118_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17708,plain,
% 169.48/170.77 ( class_LOrder_Olorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1824]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1822,plain,
% 169.48/170.77 ( class_Orderings_Olinorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13119_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17704,plain,
% 169.48/170.77 ( class_Orderings_Olinorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1822]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1820,plain,
% 169.48/170.77 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13120_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17700,plain,
% 169.48/170.77 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1820]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1818,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13121_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17696,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1818]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1816,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13122_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17692,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1816]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1814,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13123_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17688,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1814]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1812,plain,
% 169.48/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13124_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17684,plain,
% 169.48/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1812]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1810,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13125_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17680,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1810]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17681,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.77 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17680]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1808,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13126_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17676,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1808]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1806,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13127_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17672,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1806]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17673,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.77 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17672]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1804,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13128_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17668,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1804]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1802,plain,
% 169.48/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13129_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17664,plain,
% 169.48/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1802]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1800,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13130_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17660,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1800]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1798,plain,
% 169.48/170.77 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13131_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17656,plain,
% 169.48/170.77 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1798]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1796,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13132_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17652,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1796]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17653,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.77 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17652]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1794,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13133_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17648,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1794]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1792,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13134_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17644,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1792]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1790,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13135_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17640,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1790]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1788,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13136_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17636,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1788]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1786,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13137_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17632,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1786]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17633,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.77 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17632]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1784,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13138_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17628,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1784]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1782,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13139_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17624,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1782]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1780,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13140_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17620,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1780]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1778,plain,
% 169.48/170.77 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13141_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17616,plain,
% 169.48/170.77 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1778]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1776,plain,
% 169.48/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13142_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17612,plain,
% 169.48/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1776]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1774,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13143_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17608,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1774]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1772,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13144_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17604,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1772]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1770,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13145_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17600,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1770]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1768,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13146_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17596,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1768]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1766,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13147_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17592,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1766]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1764,plain,
% 169.48/170.77 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13148_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17588,plain,
% 169.48/170.77 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1764]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1762,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13149_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17584,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1762]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1760,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13150_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17580,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__semidom(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1760]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1758,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13151_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17576,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1758]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1756,plain,
% 169.48/170.77 ( class_Orderings_Oord(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13152_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17572,plain,
% 169.48/170.77 ( class_Orderings_Oord(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1756]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1754,plain,
% 169.48/170.77 ( class_Orderings_Oorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13153_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17568,plain,
% 169.48/170.77 ( class_Orderings_Oorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1754]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1752,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13154_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17564,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1752]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1750,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13155_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17560,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1750]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1748,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13156_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17556,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1748]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1746,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13157_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17552,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1746]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1744,plain,
% 169.48/170.77 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13158_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17548,plain,
% 169.48/170.77 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1744]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1742,plain,
% 169.48/170.77 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13159_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17544,plain,
% 169.48/170.77 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1742]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1740,plain,
% 169.48/170.77 ( class_LOrder_Olorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13160_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17540,plain,
% 169.48/170.77 ( class_LOrder_Olorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1740]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1738,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13161_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17536,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1738]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1736,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13162_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17532,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1736]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1734,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13163_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17528,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1734]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1732,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13164_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17524,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1732]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1730,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13165_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17520,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1730]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1728,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13166_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17516,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1728]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1726,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13167_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17512,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1726]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1724,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13168_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17508,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1724]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1722,plain,
% 169.48/170.77 ( class_Ring__and__Field_Olordered__ring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13169_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17504,plain,
% 169.48/170.77 ( class_Ring__and__Field_Olordered__ring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1722]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1720,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13170_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17500,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1720]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1718,plain,
% 169.48/170.77 ( class_Orderings_Olinorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13171_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17496,plain,
% 169.48/170.77 ( class_Orderings_Olinorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1718]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1716,plain,
% 169.48/170.77 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13172_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17492,plain,
% 169.48/170.77 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1716]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1714,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13173_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17488,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1714]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1712,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13174_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17484,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1712]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1710,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13175_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17480,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1710]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1708,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13176_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17476,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1708]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1706,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13177_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17472,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1706]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1704,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13178_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17468,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1704]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1702,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13179_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17464,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__idom(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1702]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1700,plain,
% 169.48/170.77 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13180_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17460,plain,
% 169.48/170.77 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1700]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1698,plain,
% 169.48/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13181_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17456,plain,
% 169.48/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1698]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1696,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13182_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17452,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1696]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1694,plain,
% 169.48/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13183_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17448,plain,
% 169.48/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1694]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1692,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13184_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17444,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1692]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1690,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13185_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17440,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1690]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1688,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13186_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17436,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1688]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1686,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13187_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17432,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1686]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1684,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13188_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17428,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1684]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1682,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13189_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17424,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1682]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1680,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13190_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17420,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1680]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1678,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13191_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17416,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1678]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1676,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13192_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17412,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1676]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1674,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13193_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17408,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1674]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1672,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13194_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17404,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1672]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1670,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oidom(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13195_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17400,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oidom(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1670]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1668,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13196_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17396,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1668]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1666,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13197_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17392,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1666]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1664,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13198_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17388,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1664]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1662,plain,
% 169.48/170.77 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13199_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17384,plain,
% 169.48/170.77 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1662]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1660,plain,
% 169.48/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13200_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17380,plain,
% 169.48/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1660]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1658,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13201_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17376,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1658]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1656,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13202_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17372,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1656]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1654,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13203_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17368,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1654]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1652,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13204_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17364,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1652]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1650,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13205_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17360,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1650]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1648,plain,
% 169.48/170.77 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13206_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17356,plain,
% 169.48/170.77 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1648]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1646,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ofield(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13207_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17352,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ofield(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1646]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1644,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13208_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17348,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1644]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17349,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.48/170.77 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17348]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1642,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13209_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17344,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1642]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17345,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.48/170.77 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17344]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1640,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13210_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17340,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1640]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1638,plain,
% 169.48/170.77 ( class_HOL_Otimes(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13211_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17336,plain,
% 169.48/170.77 ( class_HOL_Otimes(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1638]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1636,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13212_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17332,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1636]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17333,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.48/170.77 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17332]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1634,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13213_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17328,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1634]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1632,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13214_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17324,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1632]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1630,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13215_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17320,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1630]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1628,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13216_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17316,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1628]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1626,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13217_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17312,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1626]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1624,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13218_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17308,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1624]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1622,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13219_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17304,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1622]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1620,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13220_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17300,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1620]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1618,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13221_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17296,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1618]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1616,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13222_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17292,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1616]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1614,plain,
% 169.48/170.77 ( class_Orderings_Oord(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13223_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17288,plain,
% 169.48/170.77 ( class_Orderings_Oord(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1614]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17289,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.48/170.77 | class_Orderings_Oord(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17288]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1612,plain,
% 169.48/170.77 ( class_Orderings_Oorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13224_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17284,plain,
% 169.48/170.77 ( class_Orderings_Oorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1612]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1610,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13225_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17280,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1610]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17281,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 169.48/170.77 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17280]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1608,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13226_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17276,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1608]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1606,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13227_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17272,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1606]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1604,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13228_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17268,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1604]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1602,plain,
% 169.48/170.77 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13229_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17264,plain,
% 169.48/170.77 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1602]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1600,plain,
% 169.48/170.77 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13230_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17260,plain,
% 169.48/170.77 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1600]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1598,plain,
% 169.48/170.77 ( class_LOrder_Olorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13231_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17256,plain,
% 169.48/170.77 ( class_LOrder_Olorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1598]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1596,plain,
% 169.48/170.77 ( class_Orderings_Olinorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13232_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17252,plain,
% 169.48/170.77 ( class_Orderings_Olinorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1596]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1594,plain,
% 169.48/170.77 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13233_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17248,plain,
% 169.48/170.77 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1594]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1592,plain,
% 169.48/170.77 ( class_HOL_Ozero(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13234_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17244,plain,
% 169.48/170.77 ( class_HOL_Ozero(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1592]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1590,plain,
% 169.48/170.77 ( class_HOL_Oplus(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13235_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17240,plain,
% 169.48/170.77 ( class_HOL_Oplus(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1590]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1588,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13236_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17236,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1588]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1586,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13237_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17232,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1586]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1584,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13238_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17228,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1584]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1582,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13239_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17224,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1582]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1580,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13240_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17220,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1580]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1578,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13241_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17216,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1578]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1576,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13242_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17212,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1576]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1574,plain,
% 169.48/170.77 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13243_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17208,plain,
% 169.48/170.77 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1574]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1572,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13244_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17204,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1572]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1570,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13245_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17200,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1570]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1568,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13246_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17196,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1568]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1566,plain,
% 169.48/170.77 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13247_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17192,plain,
% 169.48/170.77 ( class_LOrder_Omeet__semilorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1566]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1564,plain,
% 169.48/170.77 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13248_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17188,plain,
% 169.48/170.77 ( class_LOrder_Ojoin__semilorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1564]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1562,plain,
% 169.48/170.77 ( class_LOrder_Olorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13249_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17184,plain,
% 169.48/170.77 ( class_LOrder_Olorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1562]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1560,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13250_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17180,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1560]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1558,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13251_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17176,plain,
% 169.48/170.77 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1558]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1556,plain,
% 169.48/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13252_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17172,plain,
% 169.48/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1556]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1554,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13253_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17168,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1554]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17169,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 169.48/170.77 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17168]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1552,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13254_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17164,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1552]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1550,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13255_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17160,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1550]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17161,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 169.48/170.77 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17160]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1548,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13256_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17156,plain,
% 169.48/170.77 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1548]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1546,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13257_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17152,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1546]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1544,plain,
% 169.48/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13258_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17148,plain,
% 169.48/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1544]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1542,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13259_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17144,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1542]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1540,plain,
% 169.48/170.77 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13260_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17140,plain,
% 169.48/170.77 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1540]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1538,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13261_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17136,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1538]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17137,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 169.48/170.77 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17136]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1536,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13262_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17132,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1536]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1534,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13263_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17128,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1534]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1532,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13264_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17124,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1532]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1530,plain,
% 169.48/170.77 ( class_Orderings_Oord(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13265_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17120,plain,
% 169.48/170.77 ( class_Orderings_Oord(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1530]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1528,plain,
% 169.48/170.77 ( class_Orderings_Oorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13266_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17116,plain,
% 169.48/170.77 ( class_Orderings_Oorder(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1528]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1526,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13267_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17112,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1526]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1524,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13268_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17108,plain,
% 169.48/170.77 ( class_Ring__and__Field_Opordered__ring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1524]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1522,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13269_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17104,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1522]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1520,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13270_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17100,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1520]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1518,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13271_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17096,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1518]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1516,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13272_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17092,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1516]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1514,plain,
% 169.48/170.77 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13273_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17088,plain,
% 169.48/170.77 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1514]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1512,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13274_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17084,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1512]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1510,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13275_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17080,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1510]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1508,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13276_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17076,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1508]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1506,plain,
% 169.48/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13277_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17072,plain,
% 169.48/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1506]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1504,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13278_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17068,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1504]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17069,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 169.48/170.77 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17068]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1502,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13279_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17064,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1502]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1500,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13280_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17060,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1500]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17061,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 169.48/170.77 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17060]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1498,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13281_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17056,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1498]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1496,plain,
% 169.48/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13282_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17052,plain,
% 169.48/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1496]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1494,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13283_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17048,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1494]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1492,plain,
% 169.48/170.77 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13284_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17044,plain,
% 169.48/170.77 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1492]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1490,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13285_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17040,plain,
% 169.48/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1490]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17041,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 169.48/170.77 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17040]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1488,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13286_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17036,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1488]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1486,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13287_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17032,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1486]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1484,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13288_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17028,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1484]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1482,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13289_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17024,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1482]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1480,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13290_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17020,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1480]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17021,plain,
% 169.48/170.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 169.48/170.77 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.48/170.77 inference(rewriting,[status(thm)],[c_17020]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1478,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13291_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17016,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1478]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1476,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13292_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17012,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1476]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1474,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13293_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17008,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1474]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1472,plain,
% 169.48/170.77 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13294_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17004,plain,
% 169.48/170.77 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1472]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1470,plain,
% 169.48/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13295_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_17000,plain,
% 169.48/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1470]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1468,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13296_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_16996,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1468]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1466,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13297_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_16992,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1466]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1464,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13298_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_16988,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1464]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1462,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13299_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_16984,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Oidom(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1462]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1460,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13300_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_16980,plain,
% 169.48/170.77 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1460]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1458,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13301_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_16976,plain,
% 169.48/170.77 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1458]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1456,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13302_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_16972,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1456]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1454,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13303_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_16968,plain,
% 169.48/170.77 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1454]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1452,plain,
% 169.48/170.77 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13304_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_16964,plain,
% 169.48/170.77 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1452]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1450,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13305_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_16960,plain,
% 169.48/170.77 ( class_OrderedGroup_Oab__group__add(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1450]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1448,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13306_1) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_16956,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.48/170.77 inference(copy,[status(esa)],[c_1448]) ).
% 169.48/170.77
% 169.48/170.77 cnf(c_1446,plain,
% 169.48/170.77 ( class_Ring__and__Field_Oidom(X0)
% 169.48/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13307_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16952,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oidom(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1446]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1444,plain,
% 169.54/170.77 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13308_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16948,plain,
% 169.54/170.77 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1444]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1442,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13309_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16944,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1442]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1440,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13310_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16940,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1440]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1438,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13311_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16936,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1438]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1436,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13312_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16932,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1436]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1434,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13313_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16928,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1434]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1432,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13314_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16924,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1432]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1430,plain,
% 169.54/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13315_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16920,plain,
% 169.54/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1430]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1428,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13316_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16916,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1428]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1426,plain,
% 169.54/170.77 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13317_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16912,plain,
% 169.54/170.77 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1426]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1424,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13318_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16908,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1424]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1422,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13319_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16904,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1422]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1420,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13320_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16900,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1420]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1418,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13321_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16896,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1418]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1416,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13322_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16892,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1416]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1414,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13323_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16888,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1414]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1412,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13324_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16884,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1412]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1410,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13325_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16880,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1410]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1408,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13326_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16876,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1408]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1406,plain,
% 169.54/170.77 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13327_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16872,plain,
% 169.54/170.77 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1406]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1404,plain,
% 169.54/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13328_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16868,plain,
% 169.54/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1404]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1402,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13329_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16864,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1402]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1400,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13330_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16860,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1400]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1398,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13331_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16856,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1398]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1396,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13332_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16852,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ofield(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1396]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1394,plain,
% 169.54/170.77 ( class_HOL_Oinverse(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13333_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16848,plain,
% 169.54/170.77 ( class_HOL_Oinverse(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1394]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16849,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 169.54/170.77 | class_HOL_Oinverse(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16848]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1392,plain,
% 169.54/170.77 ( class_HOL_Ozero(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13334_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16844,plain,
% 169.54/170.77 ( class_HOL_Ozero(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1392]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1390,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13335_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16840,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1390]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1388,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13336_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16836,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1388]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1386,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13337_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16832,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1386]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1384,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13338_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16828,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1384]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1382,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13339_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16824,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1382]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1380,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13340_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16820,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1380]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16821,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.54/170.77 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16820]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1378,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13341_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16816,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1378]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1376,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13342_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16812,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1376]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1374,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13343_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16808,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1374]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1372,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13344_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16804,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1372]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1370,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13345_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16800,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1370]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1368,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13346_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16796,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1368]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1366,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13347_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16792,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1366]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1364,plain,
% 169.54/170.77 ( class_HOL_Otimes(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13348_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16788,plain,
% 169.54/170.77 ( class_HOL_Otimes(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1364]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16789,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.54/170.77 | class_HOL_Otimes(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16788]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1362,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13349_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16784,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1362]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16785,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.54/170.77 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16784]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1360,plain,
% 169.54/170.77 ( class_HOL_Oone(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13350_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16780,plain,
% 169.54/170.77 ( class_HOL_Oone(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1360]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1358,plain,
% 169.54/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13351_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16776,plain,
% 169.54/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1358]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1356,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13352_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16772,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1356]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1354,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13353_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16768,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1354]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16769,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.54/170.77 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16768]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1352,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13354_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16764,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1352]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16765,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.54/170.77 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16764]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1350,plain,
% 169.54/170.77 ( class_HOL_Ozero(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13355_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16760,plain,
% 169.54/170.77 ( class_HOL_Ozero(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1350]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16761,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.54/170.77 | class_HOL_Ozero(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16760]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1348,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13356_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16756,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1348]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1346,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13357_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16752,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1346]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1344,plain,
% 169.54/170.77 ( class_HOL_Otimes(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13358_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16748,plain,
% 169.54/170.77 ( class_HOL_Otimes(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1344]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16749,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.77 | class_HOL_Otimes(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16748]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1342,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13359_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16744,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1342]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16745,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.77 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16744]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1340,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13360_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16740,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1340]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1338,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13361_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16736,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1338]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1336,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13362_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16732,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1336]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16733,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.77 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16732]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1334,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13363_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16728,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1334]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1332,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13364_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16724,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1332]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1330,plain,
% 169.54/170.77 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13365_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16720,plain,
% 169.54/170.77 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1330]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1328,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13366_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16716,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1328]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1326,plain,
% 169.54/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13367_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16712,plain,
% 169.54/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1326]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1324,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13368_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16708,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1324]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1322,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13369_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16704,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1322]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1320,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13370_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16700,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1320]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16701,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.77 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16700]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1318,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13371_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16696,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1318]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16697,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.77 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16696]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1316,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13372_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16692,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1316]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1314,plain,
% 169.54/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13373_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16688,plain,
% 169.54/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1314]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16689,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Ozero(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16688]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1312,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13374_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16684,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1312]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1310,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13375_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16680,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1310]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16681,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.77 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16680]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1308,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13376_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16676,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1308]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16677,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.77 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16676]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1306,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13377_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16672,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1306]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1304,plain,
% 169.54/170.77 ( class_HOL_Otimes(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13378_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16668,plain,
% 169.54/170.77 ( class_HOL_Otimes(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1304]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16669,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.77 | class_HOL_Otimes(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16668]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1302,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13379_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16664,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1302]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16665,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.77 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16664]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1300,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13380_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16660,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1300]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1298,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13381_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16656,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1298]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1296,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13382_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16652,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1296]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16653,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.77 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16652]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1294,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13383_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16648,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1294]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1292,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13384_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16644,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1292]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1290,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13385_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16640,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1290]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1288,plain,
% 169.54/170.77 ( class_HOL_Ozero(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13386_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16636,plain,
% 169.54/170.77 ( class_HOL_Ozero(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1288]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16637,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.77 | class_HOL_Ozero(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16636]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1286,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13387_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16632,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1286]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1284,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13388_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16628,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1284]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1282,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13389_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16624,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1282]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1280,plain,
% 169.54/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13390_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16620,plain,
% 169.54/170.77 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1280]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16621,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Ozero(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16620]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1278,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13391_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16616,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1278]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1276,plain,
% 169.54/170.77 ( class_HOL_Otimes(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13392_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16612,plain,
% 169.54/170.77 ( class_HOL_Otimes(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1276]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16613,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | class_HOL_Otimes(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16612]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1274,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13393_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16608,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1274]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16609,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16608]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1272,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13394_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16604,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1272]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16605,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Oplus(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16604]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1270,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13395_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16600,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1270]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16601,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16600]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1268,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13396_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16596,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1268]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16597,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16596]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1266,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13397_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16592,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1266]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1264,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13398_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16588,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1264]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1262,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13399_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16584,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1262]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16585,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16584]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1260,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13400_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16580,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1260]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1258,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13401_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16576,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1258]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1256,plain,
% 169.54/170.77 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13402_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16572,plain,
% 169.54/170.77 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1256]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16573,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Otimes(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16572]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1254,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13403_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16568,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1254]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16569,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16568]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1252,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13404_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16564,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1252]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16565,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16564]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1250,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13405_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16560,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1250]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16561,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Oplus(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16560]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1248,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13406_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16556,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1248]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16557,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16556]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1246,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13407_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16552,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1246]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16553,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16552]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1244,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13408_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16548,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1244]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1242,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13409_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16544,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1242]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1240,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13410_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16540,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1240]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16541,plain,
% 169.54/170.77 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.54/170.77 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.77 inference(rewriting,[status(thm)],[c_16540]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1238,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13411_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16536,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1238]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1236,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13412_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16532,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1236]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1234,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13413_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16528,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1234]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1232,plain,
% 169.54/170.77 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13414_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16524,plain,
% 169.54/170.77 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1232]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1230,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13415_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16520,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1230]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1228,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13416_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16516,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1228]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1226,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13417_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16512,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1226]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1224,plain,
% 169.54/170.77 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13418_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16508,plain,
% 169.54/170.77 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1224]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1222,plain,
% 169.54/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13419_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16504,plain,
% 169.54/170.77 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1222]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1220,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13420_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16500,plain,
% 169.54/170.77 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1220]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1218,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13421_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16496,plain,
% 169.54/170.77 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1218]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1216,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13422_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16492,plain,
% 169.54/170.77 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1216]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1214,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13423_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16488,plain,
% 169.54/170.77 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1214]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1212,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13424_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16484,plain,
% 169.54/170.77 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.77 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1212]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1210,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13425_1) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_16480,plain,
% 169.54/170.77 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.77 inference(copy,[status(esa)],[c_1210]) ).
% 169.54/170.77
% 169.54/170.77 cnf(c_1208,plain,
% 169.54/170.77 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13426_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16476,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1208]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16477,plain,
% 169.54/170.78 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16476]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1206,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13427_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16472,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1206]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1204,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13428_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16468,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1204]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16469,plain,
% 169.54/170.78 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16468]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1202,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13429_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16464,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1202]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1200,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13430_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16460,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1200]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16461,plain,
% 169.54/170.78 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ozero(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16460]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1198,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13431_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16456,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1198]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1196,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13432_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16452,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1196]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1194,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13433_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16448,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1194]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16449,plain,
% 169.54/170.78 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16448]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1192,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13434_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16444,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1192]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1190,plain,
% 169.54/170.78 ( class_Ring__and__Field_Oring(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13435_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16440,plain,
% 169.54/170.78 ( class_Ring__and__Field_Oring(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1190]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1188,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13436_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16436,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1188]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1186,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13437_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16432,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1186]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16433,plain,
% 169.54/170.78 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16432]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1184,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13438_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16428,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1184]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16429,plain,
% 169.54/170.78 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16428]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1182,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13439_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16424,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1182]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1180,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13440_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16420,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1180]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16421,plain,
% 169.54/170.78 ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Otimes(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16420]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1178,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13441_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16416,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1178]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16417,plain,
% 169.54/170.78 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16416]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1176,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13442_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16412,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1176]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1174,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13443_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16408,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1174]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1172,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13444_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16404,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1172]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16405,plain,
% 169.54/170.78 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16404]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1170,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13445_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16400,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1170]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1168,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13446_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16396,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1168]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1166,plain,
% 169.54/170.78 ( class_Ring__and__Field_Oring(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13447_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16392,plain,
% 169.54/170.78 ( class_Ring__and__Field_Oring(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1166]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1164,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13448_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16388,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1164]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1162,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13449_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16384,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1162]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1160,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13450_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16380,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1160]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1158,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13451_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16376,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1158]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1156,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13452_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16372,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1156]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16373,plain,
% 169.54/170.78 ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ozero(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16372]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1154,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13453_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16368,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1154]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1152,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13454_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16364,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1152]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1150,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13455_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16360,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1150]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1148,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13456_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16356,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1148]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1146,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13457_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16352,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1146]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1144,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13458_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16348,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1144]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1142,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13459_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16344,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1142]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16345,plain,
% 169.54/170.78 ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0)
% 169.54/170.78 | class_Orderings_Oord(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16344]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1140,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13460_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16340,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1140]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1138,plain,
% 169.54/170.78 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13461_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16336,plain,
% 169.54/170.78 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1138]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1136,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13462_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16332,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0)
% 169.54/170.78 | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1136]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16333,plain,
% 169.54/170.78 ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.78 | class_HOL_Ozero(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16332]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1134,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13463_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16328,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1134]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16329,plain,
% 169.54/170.78 ( ~ class_Power_Orecpower(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16328]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1132,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13464_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16324,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1132]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16325,plain,
% 169.54/170.78 ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16324]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1130,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13465_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16320,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1130]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1128,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13466_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16316,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1128]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16317,plain,
% 169.54/170.78 ( ~ class_Power_Orecpower(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16316]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1126,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13467_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16312,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1126]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1124,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13468_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16308,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1124]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1122,plain,
% 169.54/170.78 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13469_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16304,plain,
% 169.54/170.78 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1122]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1120,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13470_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16300,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1120]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1118,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13471_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16296,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1118]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1116,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13472_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16292,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1116]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1114,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13473_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16288,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1114]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1112,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13474_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16284,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1112]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1110,plain,
% 169.54/170.78 ( class_HOL_Oone(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13475_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16280,plain,
% 169.54/170.78 ( class_HOL_Oone(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1110]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1108,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13476_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16276,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1108]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1106,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13477_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16272,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1106]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1104,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__1(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13478_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16268,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__1(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1104]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1102,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13479_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16264,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1102]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1100,plain,
% 169.54/170.78 ( class_OrderedGroup_Omonoid__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13480_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16260,plain,
% 169.54/170.78 ( class_OrderedGroup_Omonoid__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1100]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1098,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13481_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16256,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1098]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1096,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__0(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13482_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16252,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__0(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1096]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1094,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13483_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16248,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1094]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1092,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13484_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16244,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.78 | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1092]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1090,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13485_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16240,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1090]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1088,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13486_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16236,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1088]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1086,plain,
% 169.54/170.78 ( class_Nat_Opower(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13487_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16232,plain,
% 169.54/170.78 ( class_Nat_Opower(X0) | ~ class_Power_Orecpower(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1086]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1084,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13488_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16228,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1084]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16229,plain,
% 169.54/170.78 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oord(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16228]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1082,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13489_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16224,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1082]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1080,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13490_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16220,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1080]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16221,plain,
% 169.54/170.78 ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oord(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16220]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1078,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13491_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16216,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1078]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1076,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13492_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16212,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1076]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1074,plain,
% 169.54/170.78 ( class_LOrder_Olorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13493_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16208,plain,
% 169.54/170.78 ( class_LOrder_Olorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1074]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1072,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13494_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16204,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1072]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1070,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13495_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16200,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1070]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1068,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13496_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16196,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1068]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1066,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13497_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16192,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1066]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1064,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13498_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16188,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1064]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1062,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13499_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16184,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1062]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16185,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16184]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1060,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13500_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16180,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1060]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16181,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16180]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1058,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13501_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16176,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1058]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16177,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | class_Orderings_Oord(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16176]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1056,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13502_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16172,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1056]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1054,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13503_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16168,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1054]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1052,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13504_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16164,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1052]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1050,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13505_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16160,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1050]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16161,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16160]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1048,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13506_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16156,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1048]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1046,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13507_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16152,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1046]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16153,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16152]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1044,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13508_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16148,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1044]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1042,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13509_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16144,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1042]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16145,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | class_Orderings_Oord(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16144]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1040,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13510_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16140,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1040]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1038,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13511_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16136,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1038]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1036,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13512_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16132,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1036]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1034,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13513_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16128,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1034]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1032,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13514_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16124,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1032]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16125,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16124]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1030,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13515_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16120,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1030]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16121,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16120]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1028,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13516_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16116,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1028]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16117,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | class_Orderings_Oord(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16116]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1026,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13517_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16112,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1026]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1024,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13518_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16108,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1024]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1022,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13519_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16104,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1022]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1020,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13520_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16100,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1020]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16101,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16100]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1018,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13521_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16096,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1018]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1016,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13522_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16092,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1016]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16093,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16092]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1014,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13523_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16088,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1014]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1012,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13524_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16084,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1012]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1010,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13525_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16080,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1010]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1008,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13526_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16076,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1008]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1006,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13527_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16072,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1006]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1004,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13528_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16068,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1004]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16069,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.54/170.78 | class_Orderings_Oord(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16068]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1002,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13529_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16064,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1002]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_1000,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13530_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16060,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_1000]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_998,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13531_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16056,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_998]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_996,plain,
% 169.54/170.78 ( class_Orderings_Olinorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13532_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16052,plain,
% 169.54/170.78 ( class_Orderings_Olinorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_996]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_994,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13533_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16048,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_994]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_992,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13534_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16044,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_992]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16045,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16044]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_990,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13535_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16040,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_990]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_988,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13536_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16036,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_988]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16037,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16036]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_986,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13537_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16032,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_986]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_984,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13538_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16028,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_984]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16029,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | class_Orderings_Oord(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_16028]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_982,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13539_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16024,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_982]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_980,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13540_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16020,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_980]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_978,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13541_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16016,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_978]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_976,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13542_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16012,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_976]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_974,plain,
% 169.54/170.78 ( class_LOrder_Olorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13543_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16008,plain,
% 169.54/170.78 ( class_LOrder_Olorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_974]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_972,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13544_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16004,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_972]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_970,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13545_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_16000,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_970]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_968,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13546_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15996,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_968]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15997,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Otimes(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15996]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_966,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13547_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15992,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_966]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15993,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15992]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_964,plain,
% 169.54/170.78 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13548_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15988,plain,
% 169.54/170.78 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_964]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_962,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13549_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15984,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_962]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_960,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13550_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15980,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_960]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_958,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13551_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15976,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_958]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_956,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13552_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15972,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_956]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_954,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13553_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15968,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_954]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_952,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13554_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15964,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_952]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_950,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13555_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15960,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_950]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_948,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13556_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15956,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_948]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_946,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13557_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15952,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_946]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_944,plain,
% 169.54/170.78 ( class_LOrder_Olorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13558_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15948,plain,
% 169.54/170.78 ( class_LOrder_Olorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_944]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_942,plain,
% 169.54/170.78 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13559_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15944,plain,
% 169.54/170.78 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_942]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_940,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13560_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15940,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_940]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_938,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13561_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15936,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_938]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_936,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13562_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15932,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_936]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15933,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15932]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_934,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13563_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15928,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_934]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_932,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13564_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15924,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_932]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15925,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15924]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_930,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13565_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15920,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_930]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_928,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13566_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15916,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_928]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_926,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13567_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15912,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_926]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_924,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13568_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15908,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_924]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_922,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13569_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15904,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_922]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_920,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13570_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15900,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_920]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_918,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13571_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15896,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_918]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_916,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13572_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15892,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_916]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_914,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13573_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15888,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_914]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_912,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13574_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15884,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_912]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_910,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13575_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15880,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_910]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_908,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13576_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15876,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_908]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_906,plain,
% 169.54/170.78 ( class_LOrder_Olorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13577_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15872,plain,
% 169.54/170.78 ( class_LOrder_Olorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_906]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_904,plain,
% 169.54/170.78 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13578_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15868,plain,
% 169.54/170.78 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_904]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_902,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13579_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15864,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_902]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_900,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13580_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15860,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_900]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_898,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13581_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15856,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_898]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15857,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15856]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_896,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13582_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15852,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_896]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_894,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13583_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15848,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_894]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15849,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15848]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_892,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13584_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15844,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_892]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_890,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13585_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15840,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_890]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_888,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13586_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15836,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_888]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_886,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13587_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15832,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_886]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_884,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13588_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15828,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_884]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_882,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13589_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15824,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_882]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_880,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13590_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15820,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_880]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_878,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13591_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15816,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_878]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_876,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13592_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15812,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_876]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_874,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13593_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15808,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_874]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_872,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13594_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15804,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_872]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_870,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13595_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15800,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_870]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_868,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13596_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15796,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_868]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_866,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13597_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15792,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_866]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_864,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13598_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15788,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_864]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_862,plain,
% 169.54/170.78 ( class_LOrder_Olorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13599_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15784,plain,
% 169.54/170.78 ( class_LOrder_Olorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_862]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_860,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13600_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15780,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_860]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_858,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13601_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15776,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_858]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15777,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15776]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_856,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13602_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15772,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_856]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_854,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13603_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15768,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_854]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15769,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15768]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_852,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13604_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15764,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_852]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_850,plain,
% 169.54/170.78 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13605_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15760,plain,
% 169.54/170.78 ( class_OrderedGroup_Olordered__ab__group(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_850]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_848,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13606_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15756,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_848]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15757,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.54/170.78 | class_Orderings_Oord(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15756]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_846,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13607_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15752,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_846]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_844,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13608_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15748,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_844]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_842,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13609_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15744,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_842]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_840,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13610_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15740,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_840]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_838,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13611_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15736,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_838]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_836,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13612_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15732,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_836]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_834,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13613_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15728,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_834]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_832,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13614_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15724,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_832]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_830,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13615_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15720,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_830]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_828,plain,
% 169.54/170.78 ( class_LOrder_Olorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13616_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15716,plain,
% 169.54/170.78 ( class_LOrder_Olorder(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_828]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_826,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13617_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15712,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_826]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_824,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13618_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15708,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_824]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15709,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15708]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_822,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13619_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15704,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_822]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_820,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13620_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15700,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_820]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15701,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15700]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_818,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13621_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15696,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_818]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_816,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13622_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15692,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_816]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_814,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13623_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15688,plain,
% 169.54/170.78 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_814]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_812,plain,
% 169.54/170.78 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13624_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15684,plain,
% 169.54/170.78 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_812]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_810,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13625_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15680,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_810]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15681,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Otimes(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15680]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_808,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13626_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15676,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_808]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15677,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15676]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_806,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13627_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15672,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_806]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15673,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15672]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_804,plain,
% 169.54/170.78 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13628_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15668,plain,
% 169.54/170.78 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_804]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_802,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13629_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15664,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_802]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15665,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Oplus(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15664]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_800,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13630_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15660,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_800]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15661,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15660]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_798,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13631_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15656,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_798]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15657,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15656]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_796,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13632_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15652,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_796]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15653,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Ozero(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15652]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_794,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13633_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15648,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_794]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15649,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | class_HOL_Oplus(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15648]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_792,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13634_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15644,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_792]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15645,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15644]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_790,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13635_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15640,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_790]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_788,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13636_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15636,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_788]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15637,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | class_HOL_Oplus(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15636]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_786,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13637_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15632,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_786]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15633,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15632]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_784,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13638_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15628,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_784]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15629,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15628]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_782,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13639_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15624,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_782]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_780,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13640_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15620,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_780]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_778,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13641_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15616,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_778]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_776,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13642_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15612,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_776]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_774,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13643_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15608,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_774]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_772,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13644_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15604,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_772]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_770,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13645_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15600,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_770]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15601,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Oplus(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15600]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_768,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13646_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15596,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_768]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15597,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15596]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_766,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13647_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15592,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_766]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15593,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15592]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_764,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13648_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15588,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_764]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15589,plain,
% 169.54/170.78 ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ozero(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15588]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_762,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13649_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15584,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_762]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_760,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13650_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15580,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_760]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_758,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13651_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15576,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_758]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_756,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13652_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15572,plain,
% 169.54/170.78 ( class_HOL_Ozero(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_756]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_754,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13653_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15568,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_754]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_752,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13654_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15564,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_752]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_750,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13655_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15560,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_750]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15561,plain,
% 169.54/170.78 ( ~ class_Numeral_Onumber__ring(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15560]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_748,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13656_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15556,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__mult(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_748]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15557,plain,
% 169.54/170.78 ( ~ class_Numeral_Onumber__ring(X0)
% 169.54/170.78 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15556]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_746,plain,
% 169.54/170.78 ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13657_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15552,plain,
% 169.54/170.78 ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_746]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_744,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13658_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15548,plain,
% 169.54/170.78 ( class_HOL_Otimes(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_744]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_742,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13659_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15544,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_742]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_740,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13660_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15540,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_740]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_738,plain,
% 169.54/170.78 ( class_Ring__and__Field_Oring__1(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13661_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15536,plain,
% 169.54/170.78 ( class_Ring__and__Field_Oring__1(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_738]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_736,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13662_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15532,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_736]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_734,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13663_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15528,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_734]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_732,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13664_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15524,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__1(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_732]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_730,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13665_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15520,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_730]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_728,plain,
% 169.54/170.78 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13666_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15516,plain,
% 169.54/170.78 ( class_OrderedGroup_Omonoid__mult(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_728]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_726,plain,
% 169.54/170.78 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13667_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15512,plain,
% 169.54/170.78 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_726]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_724,plain,
% 169.54/170.78 ( class_HOL_Oone(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13668_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15508,plain,
% 169.54/170.78 ( class_HOL_Oone(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_724]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_722,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13669_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15504,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_722]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15505,plain,
% 169.54/170.78 ( ~ class_Numeral_Onumber__ring(X0)
% 169.54/170.78 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15504]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_720,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13670_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15500,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__ring(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_720]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_718,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13671_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15496,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_718]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_716,plain,
% 169.54/170.78 ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13672_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15492,plain,
% 169.54/170.78 ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_716]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_714,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13673_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15488,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_714]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_712,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13674_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15484,plain,
% 169.54/170.78 ( class_OrderedGroup_Oab__group__add(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_712]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_710,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13675_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15480,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_710]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_708,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13676_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15476,plain,
% 169.54/170.78 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_708]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_706,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13677_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15472,plain,
% 169.54/170.78 ( class_HOL_Ominus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_706]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_704,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13678_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15468,plain,
% 169.54/170.78 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_704]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_702,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13679_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15464,plain,
% 169.54/170.78 ( class_Ring__and__Field_Osemiring__0(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_702]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_700,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13680_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15460,plain,
% 169.54/170.78 ( class_OrderedGroup_Osemigroup__add(X0)
% 169.54/170.78 | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_700]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_698,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13681_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15456,plain,
% 169.54/170.78 ( class_HOL_Oplus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_698]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_696,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13682_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15452,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_696]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_694,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13683_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15448,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_694]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15449,plain,
% 169.54/170.78 ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oord(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15448]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_692,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13684_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15444,plain,
% 169.54/170.78 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_692]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_690,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13685_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15440,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_690]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_688,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13686_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15436,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_688]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15437,plain,
% 169.54/170.78 ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oord(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15436]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_686,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13687_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15432,plain,
% 169.54/170.78 ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_686]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_684,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13688_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15428,plain,
% 169.54/170.78 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_684]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_682,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13689_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15424,plain,
% 169.54/170.78 ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_682]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15425,plain,
% 169.54/170.78 ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oord(X0) ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15424]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_680,plain,
% 169.54/170.78 ( X0 = c_0 | c_IntDef_Oint(X0) != c_0 ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13728_1) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15420,plain,
% 169.54/170.78 ( X0 = c_0 | c_IntDef_Oint(X0) != c_0 ),
% 169.54/170.78 inference(copy,[status(esa)],[c_680]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15421,plain,
% 169.54/170.78 ( c_IntDef_Oint(X0) != c_0 | X0 = c_0 ),
% 169.54/170.78 inference(rewriting,[status(thm)],[c_15420]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_675,plain,
% 169.54/170.78 ( ~ 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))) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11243_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15410,plain,
% 169.54/170.78 ( ~ 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))) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_675]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_674,plain,
% 169.54/170.78 ( ~ 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))) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11244_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15408,plain,
% 169.54/170.78 ( ~ 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))) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_674]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_673,plain,
% 169.54/170.78 ( ~ 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))) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11245_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15406,plain,
% 169.54/170.78 ( ~ 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))) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_673]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_672,plain,
% 169.54/170.78 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11400_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15404,plain,
% 169.54/170.78 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_672]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_671,plain,
% 169.54/170.78 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11401_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15402,plain,
% 169.54/170.78 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_671]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_670,plain,
% 169.54/170.78 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11402_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15400,plain,
% 169.54/170.78 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_670]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_669,plain,
% 169.54/170.78 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11403_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15398,plain,
% 169.54/170.78 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_669]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_668,plain,
% 169.54/170.78 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11404_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15396,plain,
% 169.54/170.78 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_668]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_667,plain,
% 169.54/170.78 ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11405_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15394,plain,
% 169.54/170.78 ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_667]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_666,plain,
% 169.54/170.78 ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11792_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15392,plain,
% 169.54/170.78 ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_666]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_665,plain,
% 169.54/170.78 ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11793_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15390,plain,
% 169.54/170.78 ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_665]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_664,plain,
% 169.54/170.78 ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11996_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15388,plain,
% 169.54/170.78 ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_664]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_663,plain,
% 169.54/170.78 ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12046_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15386,plain,
% 169.54/170.78 ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_663]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_662,plain,
% 169.54/170.78 ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12079_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15384,plain,
% 169.54/170.78 ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_662]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_661,plain,
% 169.54/170.78 ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12080_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15382,plain,
% 169.54/170.78 ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_661]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_660,plain,
% 169.54/170.78 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12081_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15380,plain,
% 169.54/170.78 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_660]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_659,plain,
% 169.54/170.78 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12082_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15378,plain,
% 169.54/170.78 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_659]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_658,plain,
% 169.54/170.78 ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12083_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15376,plain,
% 169.54/170.78 ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_658]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_657,plain,
% 169.54/170.78 ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12084_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15374,plain,
% 169.54/170.78 ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_657]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_656,plain,
% 169.54/170.78 ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12188_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15372,plain,
% 169.54/170.78 ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_656]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_655,plain,
% 169.54/170.78 ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12231_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15370,plain,
% 169.54/170.78 ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_655]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_654,plain,
% 169.54/170.78 ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12355_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15368,plain,
% 169.54/170.78 ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_654]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_653,plain,
% 169.54/170.78 ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12366_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15366,plain,
% 169.54/170.78 ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_653]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_650,plain,
% 169.54/170.78 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12398_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15360,plain,
% 169.54/170.78 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 169.54/170.78 inference(copy,[status(esa)],[c_650]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_648,plain,
% 169.54/170.78 ( c_insert(X0,X1,X2) != c_emptyset ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12406_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15356,plain,
% 169.54/170.78 ( c_insert(X0,X1,X2) != c_emptyset ),
% 169.54/170.78 inference(copy,[status(esa)],[c_648]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_646,plain,
% 169.54/170.78 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12408_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15352,plain,
% 169.54/170.78 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 169.54/170.78 inference(copy,[status(esa)],[c_646]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_645,plain,
% 169.54/170.78 ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12409_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15350,plain,
% 169.54/170.78 ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_645]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_644,plain,
% 169.54/170.78 ( ~ c_in(X0,c_emptyset,X1) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12417_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15348,plain,
% 169.54/170.78 ( ~ c_in(X0,c_emptyset,X1) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_644]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_643,plain,
% 169.54/170.78 ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12418_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15346,plain,
% 169.54/170.78 ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_643]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_642,plain,
% 169.54/170.78 ( ~ c_less(X0,X0,tc_nat) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12419_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15344,plain,
% 169.54/170.78 ( ~ c_less(X0,X0,tc_nat) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_642]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_641,plain,
% 169.54/170.78 ( ~ c_less(X0,c_0,tc_nat) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12434_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15342,plain,
% 169.54/170.78 ( ~ c_less(X0,c_0,tc_nat) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_641]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_640,plain,
% 169.54/170.78 ( ~ c_less(c_0,c_0,tc_nat) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12439_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15340,plain,
% 169.54/170.78 ( ~ c_less(c_0,c_0,tc_nat) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_640]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_639,plain,
% 169.54/170.78 ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12689_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15338,plain,
% 169.54/170.78 ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_639]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_637,plain,
% 169.54/170.78 ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12706_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15334,plain,
% 169.54/170.78 ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 169.54/170.78 inference(copy,[status(esa)],[c_637]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_636,plain,
% 169.54/170.78 ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12733_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15332,plain,
% 169.54/170.78 ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_636]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_634,plain,
% 169.54/170.78 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OSpy ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13732_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15328,plain,
% 169.54/170.78 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OSpy ),
% 169.54/170.78 inference(copy,[status(esa)],[c_634]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_632,plain,
% 169.54/170.78 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OServer ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13734_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15324,plain,
% 169.54/170.78 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OServer ),
% 169.54/170.78 inference(copy,[status(esa)],[c_632]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_630,plain,
% 169.54/170.78 ( c_Suc(X0) != c_0 ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13736_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15320,plain,
% 169.54/170.78 ( c_Suc(X0) != c_0 ),
% 169.54/170.78 inference(copy,[status(esa)],[c_630]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_628,plain,
% 169.54/170.78 ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13863_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15316,plain,
% 169.54/170.78 ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer ),
% 169.54/170.78 inference(copy,[status(esa)],[c_628]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_627,plain,
% 169.54/170.78 ( c_UNIV != c_emptyset ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13864_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15314,plain,
% 169.54/170.78 ( c_UNIV != c_emptyset ),
% 169.54/170.78 inference(copy,[status(esa)],[c_627]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_625,plain,
% 169.54/170.78 ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13866_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15310,plain,
% 169.54/170.78 ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 169.54/170.78 inference(copy,[status(esa)],[c_625]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_624,plain,
% 169.54/170.78 ( c_1 != c_0 ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13867_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15308,plain,( c_1 != c_0 ),inference(copy,[status(esa)],[c_624]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_622,plain,
% 169.54/170.78 ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13869_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15304,plain,
% 169.54/170.78 ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 169.54/170.78 inference(copy,[status(esa)],[c_622]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_589,plain,
% 169.54/170.78 ( 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))) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11166_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15270,plain,
% 169.54/170.78 ( 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))) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_589]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_576,plain,
% 169.54/170.78 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11235_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15256,plain,
% 169.54/170.78 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_576]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_575,plain,
% 169.54/170.78 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11236_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15254,plain,
% 169.54/170.78 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_575]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_571,plain,
% 169.54/170.78 ( 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))) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11262_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15249,plain,
% 169.54/170.78 ( 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))) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_571]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_562,plain,
% 169.54/170.78 ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11322_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15239,plain,
% 169.54/170.78 ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_562]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_559,plain,
% 169.54/170.78 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11333_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15235,plain,
% 169.54/170.78 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_559]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_449,plain,
% 169.54/170.78 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11961_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15124,plain,
% 169.54/170.78 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_449]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_448,plain,
% 169.54/170.78 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_11970_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15122,plain,
% 169.54/170.78 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_448]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_443,plain,
% 169.54/170.78 ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12026_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15116,plain,
% 169.54/170.78 ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_443]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_424,plain,
% 169.54/170.78 ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12126_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15096,plain,
% 169.54/170.78 ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_424]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_423,plain,
% 169.54/170.78 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12127_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15094,plain,
% 169.54/170.78 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_423]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_421,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12131_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15091,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_421]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_420,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12132_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15089,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_420]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_419,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12133_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15087,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_419]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_418,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12134_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15085,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_418]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_417,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12135_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15083,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_417]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_416,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12136_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15081,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_416]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_415,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12137_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15079,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_415]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_414,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12138_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15077,plain,
% 169.54/170.78 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.78 inference(copy,[status(esa)],[c_414]) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_413,plain,
% 169.54/170.78 ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 169.54/170.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12144_0) ).
% 169.54/170.78
% 169.54/170.78 cnf(c_15075,plain,
% 169.54/170.78 ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_413]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_412,plain,
% 169.54/170.79 ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12149_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15073,plain,
% 169.54/170.79 ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_412]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_405,plain,
% 169.54/170.79 ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12156_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15065,plain,
% 169.54/170.79 ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_405]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_404,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12157_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15063,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_404]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_403,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12158_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15061,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_403]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_402,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12159_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15059,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_402]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_401,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12160_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15057,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_401]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_399,plain,
% 169.54/170.79 ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12178_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15054,plain,
% 169.54/170.79 ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_399]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_387,plain,
% 169.54/170.79 ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12249_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15041,plain,
% 169.54/170.79 ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_387]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_371,plain,
% 169.54/170.79 ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12287_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15024,plain,
% 169.54/170.79 ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_371]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_362,plain,
% 169.54/170.79 ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12321_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15014,plain,
% 169.54/170.79 ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_362]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_361,plain,
% 169.54/170.79 ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12322_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15012,plain,
% 169.54/170.79 ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_361]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_356,plain,
% 169.54/170.79 ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12351_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15006,plain,
% 169.54/170.79 ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_356]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_351,plain,
% 169.54/170.79 ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12414_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15000,plain,
% 169.54/170.79 ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_351]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_350,plain,
% 169.54/170.79 ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12415_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14998,plain,
% 169.54/170.79 ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_350]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_345,plain,
% 169.54/170.79 ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12437_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14992,plain,
% 169.54/170.79 ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_345]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_344,plain,
% 169.54/170.79 ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12438_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14990,plain,
% 169.54/170.79 ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_344]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_341,plain,
% 169.54/170.79 ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12450_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14986,plain,
% 169.54/170.79 ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_341]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_340,plain,
% 169.54/170.79 ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12451_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14984,plain,
% 169.54/170.79 ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_340]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_332,plain,
% 169.54/170.79 ( c_lessequals(X0,X0,tc_set(X1)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12502_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14975,plain,
% 169.54/170.79 ( c_lessequals(X0,X0,tc_set(X1)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_332]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_330,plain,
% 169.54/170.79 ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12510_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14972,plain,
% 169.54/170.79 ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_330]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_325,plain,
% 169.54/170.79 ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12515_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14965,plain,
% 169.54/170.79 ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_325]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_324,plain,
% 169.54/170.79 ( c_less(X0,c_Suc(X0),tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12516_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14963,plain,
% 169.54/170.79 ( c_less(X0,c_Suc(X0),tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_324]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_323,plain,
% 169.54/170.79 ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12524_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14961,plain,
% 169.54/170.79 ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_323]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_321,plain,
% 169.54/170.79 ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12526_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14958,plain,
% 169.54/170.79 ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_321]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_320,plain,
% 169.54/170.79 ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12527_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14956,plain,
% 169.54/170.79 ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_320]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_319,plain,
% 169.54/170.79 ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12528_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14954,plain,
% 169.54/170.79 ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_319]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_274,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12586_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14905,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_274]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_270,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12590_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14900,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_270]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_269,plain,
% 169.54/170.79 ( c_in(X0,c_UNIV,X1) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12591_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14898,plain,
% 169.54/170.79 ( c_in(X0,c_UNIV,X1) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_269]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_241,plain,
% 169.54/170.79 ( c_lessequals(c_0,X0,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12619_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14869,plain,
% 169.54/170.79 ( c_lessequals(c_0,X0,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_241]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_240,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12620_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14867,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_240]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_239,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12621_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14865,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_239]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_238,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12622_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14863,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_238]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_237,plain,
% 169.54/170.79 ( c_less(c_0,c_1,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12628_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14861,plain,
% 169.54/170.79 ( c_less(c_0,c_1,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_237]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_236,plain,
% 169.54/170.79 ( c_lessequals(c_0,c_0,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12629_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14859,plain,
% 169.54/170.79 ( c_lessequals(c_0,c_0,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_236]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_234,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12631_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14856,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_234]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_233,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12632_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14854,plain,
% 169.54/170.79 ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_233]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_225,plain,
% 169.54/170.79 ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12657_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14845,plain,
% 169.54/170.79 ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_225]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_219,plain,
% 169.54/170.79 ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12663_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14838,plain,
% 169.54/170.79 ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_219]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_215,plain,
% 169.54/170.79 ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12688_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14833,plain,
% 169.54/170.79 ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_215]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_172,plain,
% 169.54/170.79 ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12773_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14789,plain,
% 169.54/170.79 ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_172]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_170,plain,
% 169.54/170.79 ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12775_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14786,plain,
% 169.54/170.79 ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_170]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_163,plain,
% 169.54/170.79 ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_12782_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14778,plain,
% 169.54/170.79 ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_163]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_157,plain,
% 169.54/170.79 ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13695_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14771,plain,
% 169.54/170.79 ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_157]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_156,plain,
% 169.54/170.79 ( c_Parity_Oeven(c_0,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13696_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14769,plain,
% 169.54/170.79 ( c_Parity_Oeven(c_0,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_156]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_130,plain,
% 169.54/170.79 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13722_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14742,plain,
% 169.54/170.79 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_130]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_129,plain,
% 169.54/170.79 ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13723_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14740,plain,
% 169.54/170.79 ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_129]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_128,plain,
% 169.54/170.79 ( class_Nat_Opower(tc_set(X0)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13724_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14738,plain,
% 169.54/170.79 ( class_Nat_Opower(tc_set(X0)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_128]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_127,plain,
% 169.54/170.79 ( class_Orderings_Oorder(tc_set(X0)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13725_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14736,plain,
% 169.54/170.79 ( class_Orderings_Oorder(tc_set(X0)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_127]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_126,plain,
% 169.54/170.79 ( class_Orderings_Oord(tc_set(X0)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13726_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14734,plain,
% 169.54/170.79 ( class_Orderings_Oord(tc_set(X0)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_126]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_125,plain,
% 169.54/170.79 ( class_HOL_Ominus(tc_set(X0)) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13727_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14732,plain,
% 169.54/170.79 ( class_HOL_Ominus(tc_set(X0)) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_125]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_114,plain,
% 169.54/170.79 ( class_HOL_Ominus(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13747_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14720,plain,
% 169.54/170.79 ( class_HOL_Ominus(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_114]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_113,plain,
% 169.54/170.79 ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13748_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14718,plain,
% 169.54/170.79 ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_113]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_112,plain,
% 169.54/170.79 ( class_Orderings_Olinorder(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13749_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14716,plain,
% 169.54/170.79 ( class_Orderings_Olinorder(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_112]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_111,plain,
% 169.54/170.79 ( class_LOrder_Olorder(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13750_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14714,plain,
% 169.54/170.79 ( class_LOrder_Olorder(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_111]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_110,plain,
% 169.54/170.79 ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13751_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14712,plain,
% 169.54/170.79 ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_110]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_109,plain,
% 169.54/170.79 ( class_Parity_Oeven__odd(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13752_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14710,plain,
% 169.54/170.79 ( class_Parity_Oeven__odd(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_109]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_108,plain,
% 169.54/170.79 ( class_Numeral_Onumber(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13753_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14708,plain,
% 169.54/170.79 ( class_Numeral_Onumber(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_108]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_107,plain,
% 169.54/170.79 ( class_Power_Orecpower(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13754_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14706,plain,
% 169.54/170.79 ( class_Power_Orecpower(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_107]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_106,plain,
% 169.54/170.79 ( class_Divides_Odiv(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13755_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14704,plain,
% 169.54/170.79 ( class_Divides_Odiv(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_106]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_105,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13756_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14702,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_105]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_104,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13757_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14700,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_104]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_103,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13758_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14698,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_103]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_102,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13759_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14696,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_102]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_101,plain,
% 169.54/170.79 ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13760_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14694,plain,
% 169.54/170.79 ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_101]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_100,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13761_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14692,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_100]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_99,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13762_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14690,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_99]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_98,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13763_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14688,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_98]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_97,plain,
% 169.54/170.79 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13764_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14686,plain,
% 169.54/170.79 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_97]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_96,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13765_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14684,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_96]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_95,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13766_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14682,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_95]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_94,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13767_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14680,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_94]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_93,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13768_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14678,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_93]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_92,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13769_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14676,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_92]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_91,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13770_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14674,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_91]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_90,plain,
% 169.54/170.79 ( class_Orderings_Oorder(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13771_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14672,plain,
% 169.54/170.79 ( class_Orderings_Oorder(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_90]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_89,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13772_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14670,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_89]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_88,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13773_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14668,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_88]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_87,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13774_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14666,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_87]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_86,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13775_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14664,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_86]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_85,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13776_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14662,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_85]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_84,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13777_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14660,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_84]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_83,plain,
% 169.54/170.79 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13778_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14658,plain,
% 169.54/170.79 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_83]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_82,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13779_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14656,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_82]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_81,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13780_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14654,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_81]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_80,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13781_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14652,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_80]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_79,plain,
% 169.54/170.79 ( class_Orderings_Oord(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13782_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14650,plain,
% 169.54/170.79 ( class_Orderings_Oord(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_79]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_78,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13783_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14648,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_78]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_77,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13784_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14646,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_77]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_76,plain,
% 169.54/170.79 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13785_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14644,plain,
% 169.54/170.79 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_76]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_75,plain,
% 169.54/170.79 ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13786_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14642,plain,
% 169.54/170.79 ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_75]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_74,plain,
% 169.54/170.79 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13787_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14640,plain,
% 169.54/170.79 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_74]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_73,plain,
% 169.54/170.79 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13788_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14638,plain,
% 169.54/170.79 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_73]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_72,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13789_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14636,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_72]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_71,plain,
% 169.54/170.79 ( class_Nat_Opower(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13790_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14634,plain,
% 169.54/170.79 ( class_Nat_Opower(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_71]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_70,plain,
% 169.54/170.79 ( class_HOL_Otimes(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13791_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14632,plain,
% 169.54/170.79 ( class_HOL_Otimes(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_70]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_69,plain,
% 169.54/170.79 ( class_HOL_Oplus(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13792_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14630,plain,
% 169.54/170.79 ( class_HOL_Oplus(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_69]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_68,plain,
% 169.54/170.79 ( class_HOL_Ozero(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13793_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14628,plain,
% 169.54/170.79 ( class_HOL_Ozero(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_68]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_67,plain,
% 169.54/170.79 ( class_HOL_Oone(tc_nat) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13794_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14626,plain,
% 169.54/170.79 ( class_HOL_Oone(tc_nat) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_67]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_66,plain,
% 169.54/170.79 ( class_Finite__Set_Ofinite(tc_bool) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13795_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14624,plain,
% 169.54/170.79 ( class_Finite__Set_Ofinite(tc_bool) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_66]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_65,plain,
% 169.54/170.79 ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13796_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14622,plain,
% 169.54/170.79 ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_65]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_64,plain,
% 169.54/170.79 ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13797_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14620,plain,
% 169.54/170.79 ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_64]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_63,plain,
% 169.54/170.79 ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13798_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14618,plain,
% 169.54/170.79 ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_63]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_62,plain,
% 169.54/170.79 ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13799_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14616,plain,
% 169.54/170.79 ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_62]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_61,plain,
% 169.54/170.79 ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13800_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14614,plain,
% 169.54/170.79 ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_61]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_60,plain,
% 169.54/170.79 ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13801_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14612,plain,
% 169.54/170.79 ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_60]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_59,plain,
% 169.54/170.79 ( class_Nat_Opower(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13802_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14610,plain,
% 169.54/170.79 ( class_Nat_Opower(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_59]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_58,plain,
% 169.54/170.79 ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13803_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14608,plain,
% 169.54/170.79 ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_58]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_57,plain,
% 169.54/170.79 ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13804_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14606,plain,
% 169.54/170.79 ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_57]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_56,plain,
% 169.54/170.79 ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13805_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14604,plain,
% 169.54/170.79 ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_56]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_55,plain,
% 169.54/170.79 ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13806_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14602,plain,
% 169.54/170.79 ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_55]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_54,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13807_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14600,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_54]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_53,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13808_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14598,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_53]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_52,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13809_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14596,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_52]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_51,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13810_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14594,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_51]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_50,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13811_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14592,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_50]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_49,plain,
% 169.54/170.79 ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13812_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14590,plain,
% 169.54/170.79 ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_49]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_48,plain,
% 169.54/170.79 ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13813_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14588,plain,
% 169.54/170.79 ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_48]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_47,plain,
% 169.54/170.79 ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13814_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14586,plain,
% 169.54/170.79 ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_47]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_46,plain,
% 169.54/170.79 ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13815_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14584,plain,
% 169.54/170.79 ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_46]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_45,plain,
% 169.54/170.79 ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13816_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14582,plain,
% 169.54/170.79 ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_45]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_44,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13817_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14580,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_44]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_43,plain,
% 169.54/170.79 ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13818_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14578,plain,
% 169.54/170.79 ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_43]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_42,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13819_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14576,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_42]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_41,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13820_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14574,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_41]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_40,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13821_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14572,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_40]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_39,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13822_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14570,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_39]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_38,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13823_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14568,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_38]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_37,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13824_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14566,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_37]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_36,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13825_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14564,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_36]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_35,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13826_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14562,plain,
% 169.54/170.79 ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_35]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_34,plain,
% 169.54/170.79 ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13827_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14560,plain,
% 169.54/170.79 ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_34]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_33,plain,
% 169.54/170.79 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13828_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14558,plain,
% 169.54/170.79 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_33]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_32,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13829_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14556,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_32]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_31,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13830_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14554,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_31]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_30,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13831_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14552,plain,
% 169.54/170.79 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_30]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_29,plain,
% 169.54/170.79 ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13832_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14550,plain,
% 169.54/170.79 ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_29]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_28,plain,
% 169.54/170.79 ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13833_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14548,plain,
% 169.54/170.79 ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_28]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_27,plain,
% 169.54/170.79 ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13834_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14546,plain,
% 169.54/170.79 ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_27]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_26,plain,
% 169.54/170.79 ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13835_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14544,plain,
% 169.54/170.79 ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_26]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_25,plain,
% 169.54/170.79 ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13836_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14542,plain,
% 169.54/170.79 ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_25]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_24,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13837_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14540,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_24]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_23,plain,
% 169.54/170.79 ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13838_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14538,plain,
% 169.54/170.79 ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_23]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_22,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13839_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14536,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_22]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_21,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13840_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14534,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_21]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_20,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13841_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14532,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_20]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_19,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13842_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14530,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_19]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_18,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13843_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14528,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_18]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_17,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13844_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14526,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_17]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_16,plain,
% 169.54/170.79 ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13845_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14524,plain,
% 169.54/170.79 ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_16]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_15,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13846_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14522,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_15]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13847_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14520,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_14]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_13,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13848_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14518,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_13]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_12,plain,
% 169.54/170.79 ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13849_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14516,plain,
% 169.54/170.79 ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_12]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_11,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13850_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14514,plain,
% 169.54/170.79 ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_11]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_10,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13851_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14512,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_10]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_9,plain,
% 169.54/170.79 ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13852_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14510,plain,
% 169.54/170.79 ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_9]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_8,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13853_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14508,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_8]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_7,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13854_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14506,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_7]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_6,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13855_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14504,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_6]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_5,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13856_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14502,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_5]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_4,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13857_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14500,plain,
% 169.54/170.79 ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_4]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_3,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13858_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14498,plain,
% 169.54/170.79 ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_3]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_2,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13859_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14496,plain,
% 169.54/170.79 ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_2]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_1,plain,
% 169.54/170.79 ( class_HOL_Oone(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13860_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14494,plain,
% 169.54/170.79 ( class_HOL_Oone(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_1]) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_0,plain,
% 169.54/170.79 ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 169.54/170.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_408963.p', c_0_13861_0) ).
% 169.54/170.79
% 169.54/170.79 cnf(c_14492,plain,
% 169.54/170.79 ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 169.54/170.79 inference(copy,[status(esa)],[c_0]) ).
% 169.54/170.79
% 169.54/170.79
% 169.54/170.79
% 169.54/170.79 % ------ Statistics
% 169.54/170.79
% 169.54/170.79 % ------ General
% 169.54/170.79
% 169.54/170.79 % num_of_input_clauses: 6051
% 169.54/170.79 % num_of_input_neg_conjectures: 1
% 169.54/170.79 % num_of_splits: 0
% 169.54/170.79 % num_of_split_atoms: 0
% 169.54/170.79 % num_of_sem_filtered_clauses: 0
% 169.54/170.79 % num_of_subtypes: 0
% 169.54/170.79 % monotx_restored_types: 0
% 169.54/170.79 % sat_num_of_epr_types: 0
% 169.54/170.79 % sat_num_of_non_cyclic_types: 0
% 169.54/170.79 % sat_guarded_non_collapsed_types: 0
% 169.54/170.79 % is_epr: 0
% 169.54/170.79 % is_horn: 0
% 169.54/170.79 % has_eq: 1
% 169.54/170.79 % num_pure_diseq_elim: 0
% 169.54/170.79 % simp_replaced_by: 0
% 169.54/170.79 % res_preprocessed: 2
% 169.54/170.79 % prep_upred: 0
% 169.54/170.79 % prep_unflattend: 0
% 169.54/170.79 % pred_elim_cands: 0
% 169.54/170.79 % pred_elim: 0
% 169.54/170.79 % pred_elim_cl: 0
% 169.54/170.79 % pred_elim_cycles: 0
% 169.54/170.79 % forced_gc_time: 0
% 169.54/170.79 % gc_basic_clause_elim: 0
% 169.54/170.79 % parsing_time: 0.179
% 169.54/170.79 % sem_filter_time: 0.
% 169.54/170.79 % pred_elim_time: 0.
% 169.54/170.79 % out_proof_time: 0.
% 169.54/170.79 % monotx_time: 0.
% 169.54/170.79 % subtype_inf_time: 0.
% 169.54/170.79 % unif_index_cands_time: 0.
% 169.54/170.79 % unif_index_add_time: 0.007
% 169.54/170.79 % total_time: 19.498
% 169.54/170.79 % num_of_symbols: 361
% 169.54/170.79 % num_of_terms: 9972
% 169.54/170.79
% 169.54/170.79 % ------ Propositional Solver
% 169.54/170.79
% 169.54/170.79 % prop_solver_calls: 1
% 169.54/170.79 % prop_fast_solver_calls: 3
% 169.54/170.79 % prop_num_of_clauses: 6136
% 169.54/170.79 % prop_preprocess_simplified: 17704
% 169.54/170.79 % prop_fo_subsumed: 0
% 169.54/170.79 % prop_solver_time: 0.
% 169.54/170.79 % prop_fast_solver_time: 0.
% 169.54/170.79 % prop_unsat_core_time: 0.
% 169.54/170.79
% 169.54/170.79 % ------ QBF
% 169.54/170.79
% 169.54/170.79 % qbf_q_res: 0
% 169.54/170.79 % qbf_num_tautologies: 0
% 169.54/170.79 % qbf_prep_cycles: 0
% 169.54/170.79
% 169.54/170.79 % ------ BMC1
% 169.54/170.79
% 169.54/170.79 % bmc1_current_bound: -1
% 169.54/170.79 % bmc1_last_solved_bound: -1
% 169.54/170.79 % bmc1_unsat_core_size: -1
% 169.54/170.79 % bmc1_unsat_core_parents_size: -1
% 169.54/170.79 % bmc1_merge_next_fun: 0
% 169.54/170.79 % bmc1_unsat_core_clauses_time: 0.
% 169.54/170.79
% 169.54/170.79 % ------ Instantiation
% 169.54/170.79
% 169.54/170.79 % inst_num_of_clauses: 5922
% 169.54/170.79 % inst_num_in_passive: 0
% 169.54/170.79 % inst_num_in_active: 0
% 169.54/170.79 % inst_num_in_unprocessed: 6051
% 169.54/170.79 % inst_num_of_loops: 0
% 169.54/170.79 % inst_num_of_learning_restarts: 0
% 169.54/170.79 % inst_num_moves_active_passive: 0
% 169.54/170.79 % inst_lit_activity: 0
% 169.54/170.79 % inst_lit_activity_moves: 0
% 169.54/170.79 % inst_num_tautologies: 0
% 169.54/170.79 % inst_num_prop_implied: 0
% 169.54/170.79 % inst_num_existing_simplified: 0
% 169.54/170.79 % inst_num_eq_res_simplified: 0
% 169.54/170.79 % inst_num_child_elim: 0
% 169.54/170.79 % inst_num_of_dismatching_blockings: 0
% 169.54/170.79 % inst_num_of_non_proper_insts: 0
% 169.54/170.79 % inst_num_of_duplicates: 0
% 169.54/170.79 % inst_inst_num_from_inst_to_res: 0
% 169.54/170.79 % inst_dismatching_checking_time: 0.
% 169.54/170.79
% 169.54/170.79 % ------ Resolution
% 169.54/170.79
% 169.54/170.79 % res_num_of_clauses: 6305
% 169.54/170.79 % res_num_in_passive: 0
% 169.54/170.79 % res_num_in_active: 2373
% 169.54/170.79 % res_num_of_loops: 4
% 169.54/170.79 % res_forward_subset_subsumed: 3248
% 169.54/170.79 % res_backward_subset_subsumed: 0
% 169.54/170.79 % res_forward_subsumed: 0
% 169.54/170.79 % res_backward_subsumed: 0
% 169.54/170.79 % res_forward_subsumption_resolution: 0
% 169.54/170.79 % res_backward_subsumption_resolution: 0
% 169.54/170.79 % res_clause_to_clause_subsumption: 1
% 169.54/170.79 % res_orphan_elimination: 0
% 169.54/170.79 % res_tautology_del: 0
% 169.54/170.79 % res_num_eq_res_simplified: 0
% 169.54/170.79 % res_num_sel_changes: 0
% 169.54/170.79 % res_moves_from_active_to_pass: 0
% 169.54/170.79
% 169.54/170.79 % Status Unknown
% 169.54/170.79 % Last status :
% 169.54/170.79 % SZS status Unknown
%------------------------------------------------------------------------------