TSTP Solution File: SWV243-1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : SWV243-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Wed Jul 20 19:09:11 EDT 2022
% Result : Unknown 171.38s 171.69s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV243-1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n021.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 : Tue Jun 14 23:43:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.62/0.79 % Orienting using strategy Equiv(ClausalAll)
% 0.62/0.79 % Orientation found
% 0.62/0.79 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_5b7b3a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_27e139.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_f9beb2 | grep -v "SZS"
% 0.62/0.81
% 0.62/0.81 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.62/0.81
% 0.62/0.81 %
% 0.62/0.81 % ------ iProver source info
% 0.62/0.81
% 0.62/0.81 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.62/0.81 % git: non_committed_changes: true
% 0.62/0.81 % git: last_make_outside_of_git: true
% 0.62/0.81
% 0.62/0.81 %
% 0.62/0.81 % ------ Input Options
% 0.62/0.81
% 0.62/0.81 % --out_options all
% 0.62/0.81 % --tptp_safe_out true
% 0.62/0.81 % --problem_path ""
% 0.62/0.81 % --include_path ""
% 0.62/0.81 % --clausifier .//eprover
% 0.62/0.81 % --clausifier_options --tstp-format
% 0.62/0.81 % --stdin false
% 0.62/0.81 % --dbg_backtrace false
% 0.62/0.81 % --dbg_dump_prop_clauses false
% 0.62/0.81 % --dbg_dump_prop_clauses_file -
% 0.62/0.81 % --dbg_out_stat false
% 0.62/0.81
% 0.62/0.81 % ------ General Options
% 0.62/0.81
% 0.62/0.81 % --fof false
% 0.62/0.81 % --time_out_real 150.
% 0.62/0.81 % --time_out_prep_mult 0.2
% 0.62/0.81 % --time_out_virtual -1.
% 0.62/0.81 % --schedule none
% 0.62/0.81 % --ground_splitting input
% 0.62/0.81 % --splitting_nvd 16
% 0.62/0.81 % --non_eq_to_eq false
% 0.62/0.81 % --prep_gs_sim true
% 0.62/0.81 % --prep_unflatten false
% 0.62/0.81 % --prep_res_sim true
% 0.62/0.81 % --prep_upred true
% 0.62/0.81 % --res_sim_input true
% 0.62/0.81 % --clause_weak_htbl true
% 0.62/0.81 % --gc_record_bc_elim false
% 0.62/0.81 % --symbol_type_check false
% 0.62/0.81 % --clausify_out false
% 0.62/0.81 % --large_theory_mode false
% 0.62/0.81 % --prep_sem_filter none
% 0.62/0.81 % --prep_sem_filter_out false
% 0.62/0.81 % --preprocessed_out false
% 0.62/0.81 % --sub_typing false
% 0.62/0.81 % --brand_transform false
% 0.62/0.81 % --pure_diseq_elim true
% 0.62/0.81 % --min_unsat_core false
% 0.62/0.81 % --pred_elim true
% 0.62/0.81 % --add_important_lit false
% 0.62/0.81 % --soft_assumptions false
% 0.62/0.81 % --reset_solvers false
% 0.62/0.81 % --bc_imp_inh []
% 0.62/0.81 % --conj_cone_tolerance 1.5
% 0.62/0.81 % --prolific_symb_bound 500
% 0.62/0.81 % --lt_threshold 2000
% 0.62/0.81
% 0.62/0.81 % ------ SAT Options
% 0.62/0.81
% 0.62/0.81 % --sat_mode false
% 0.62/0.81 % --sat_fm_restart_options ""
% 0.62/0.81 % --sat_gr_def false
% 0.62/0.81 % --sat_epr_types true
% 0.62/0.81 % --sat_non_cyclic_types false
% 0.62/0.81 % --sat_finite_models false
% 0.62/0.81 % --sat_fm_lemmas false
% 0.62/0.81 % --sat_fm_prep false
% 0.62/0.81 % --sat_fm_uc_incr true
% 0.62/0.81 % --sat_out_model small
% 0.62/0.81 % --sat_out_clauses false
% 0.62/0.81
% 0.62/0.81 % ------ QBF Options
% 0.62/0.81
% 0.62/0.81 % --qbf_mode false
% 0.62/0.81 % --qbf_elim_univ true
% 0.62/0.81 % --qbf_sk_in true
% 0.62/0.81 % --qbf_pred_elim true
% 0.62/0.81 % --qbf_split 32
% 0.62/0.81
% 0.62/0.81 % ------ BMC1 Options
% 0.62/0.81
% 0.62/0.81 % --bmc1_incremental false
% 0.62/0.81 % --bmc1_axioms reachable_all
% 0.62/0.81 % --bmc1_min_bound 0
% 0.62/0.81 % --bmc1_max_bound -1
% 0.62/0.81 % --bmc1_max_bound_default -1
% 0.62/0.81 % --bmc1_symbol_reachability true
% 0.62/0.81 % --bmc1_property_lemmas false
% 0.62/0.81 % --bmc1_k_induction false
% 0.62/0.81 % --bmc1_non_equiv_states false
% 0.62/0.81 % --bmc1_deadlock false
% 0.62/0.81 % --bmc1_ucm false
% 0.62/0.81 % --bmc1_add_unsat_core none
% 0.62/0.81 % --bmc1_unsat_core_children false
% 0.62/0.81 % --bmc1_unsat_core_extrapolate_axioms false
% 0.62/0.81 % --bmc1_out_stat full
% 0.62/0.81 % --bmc1_ground_init false
% 0.62/0.81 % --bmc1_pre_inst_next_state false
% 0.62/0.81 % --bmc1_pre_inst_state false
% 0.62/0.81 % --bmc1_pre_inst_reach_state false
% 0.62/0.81 % --bmc1_out_unsat_core false
% 0.62/0.81 % --bmc1_aig_witness_out false
% 0.62/0.81 % --bmc1_verbose false
% 0.62/0.81 % --bmc1_dump_clauses_tptp false
% 7.47/7.75 % --bmc1_dump_unsat_core_tptp false
% 7.47/7.75 % --bmc1_dump_file -
% 7.47/7.75 % --bmc1_ucm_expand_uc_limit 128
% 7.47/7.75 % --bmc1_ucm_n_expand_iterations 6
% 7.47/7.75 % --bmc1_ucm_extend_mode 1
% 7.47/7.75 % --bmc1_ucm_init_mode 2
% 7.47/7.75 % --bmc1_ucm_cone_mode none
% 7.47/7.75 % --bmc1_ucm_reduced_relation_type 0
% 7.47/7.75 % --bmc1_ucm_relax_model 4
% 7.47/7.75 % --bmc1_ucm_full_tr_after_sat true
% 7.47/7.75 % --bmc1_ucm_expand_neg_assumptions false
% 7.47/7.75 % --bmc1_ucm_layered_model none
% 7.47/7.75 % --bmc1_ucm_max_lemma_size 10
% 7.47/7.75
% 7.47/7.75 % ------ AIG Options
% 7.47/7.75
% 7.47/7.75 % --aig_mode false
% 7.47/7.75
% 7.47/7.75 % ------ Instantiation Options
% 7.47/7.75
% 7.47/7.75 % --instantiation_flag true
% 7.47/7.75 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 7.47/7.75 % --inst_solver_per_active 750
% 7.47/7.75 % --inst_solver_calls_frac 0.5
% 7.47/7.75 % --inst_passive_queue_type priority_queues
% 7.47/7.75 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 7.47/7.75 % --inst_passive_queues_freq [25;2]
% 7.47/7.75 % --inst_dismatching true
% 7.47/7.75 % --inst_eager_unprocessed_to_passive true
% 7.47/7.75 % --inst_prop_sim_given true
% 7.47/7.75 % --inst_prop_sim_new false
% 7.47/7.75 % --inst_orphan_elimination true
% 7.47/7.75 % --inst_learning_loop_flag true
% 7.47/7.75 % --inst_learning_start 3000
% 7.47/7.75 % --inst_learning_factor 2
% 7.47/7.75 % --inst_start_prop_sim_after_learn 3
% 7.47/7.75 % --inst_sel_renew solver
% 7.47/7.75 % --inst_lit_activity_flag true
% 7.47/7.75 % --inst_out_proof true
% 7.47/7.75
% 7.47/7.75 % ------ Resolution Options
% 7.47/7.75
% 7.47/7.75 % --resolution_flag true
% 7.47/7.75 % --res_lit_sel kbo_max
% 7.47/7.75 % --res_to_prop_solver none
% 7.47/7.75 % --res_prop_simpl_new false
% 7.47/7.75 % --res_prop_simpl_given false
% 7.47/7.75 % --res_passive_queue_type priority_queues
% 7.47/7.75 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 7.47/7.75 % --res_passive_queues_freq [15;5]
% 7.47/7.75 % --res_forward_subs full
% 7.47/7.75 % --res_backward_subs full
% 7.47/7.75 % --res_forward_subs_resolution true
% 7.47/7.75 % --res_backward_subs_resolution true
% 7.47/7.75 % --res_orphan_elimination false
% 7.47/7.75 % --res_time_limit 1000.
% 7.47/7.75 % --res_out_proof true
% 7.47/7.75 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_5b7b3a.s
% 7.47/7.75 % --modulo true
% 7.47/7.75
% 7.47/7.75 % ------ Combination Options
% 7.47/7.75
% 7.47/7.75 % --comb_res_mult 1000
% 7.47/7.75 % --comb_inst_mult 300
% 7.47/7.75 % ------
% 7.47/7.75
% 7.47/7.75 % ------ Parsing...% successful
% 7.47/7.75
% 7.47/7.75 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 7.47/7.75
% 7.47/7.75 % ------ Proving...
% 7.47/7.75 % ------ Problem Properties
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% 7.47/7.75 %
% 7.47/7.75 % EPR false
% 7.47/7.75 % Horn false
% 7.47/7.75 % Has equality true
% 7.47/7.75
% 7.47/7.75 % % ------ Input Options Time Limit: Unbounded
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% 26.06/26.38 % % ------ Current options:
% 26.06/26.38
% 26.06/26.38 % ------ Input Options
% 26.06/26.38
% 26.06/26.38 % --out_options all
% 26.06/26.38 % --tptp_safe_out true
% 26.06/26.38 % --problem_path ""
% 26.06/26.38 % --include_path ""
% 26.06/26.38 % --clausifier .//eprover
% 26.06/26.38 % --clausifier_options --tstp-format
% 26.06/26.38 % --stdin false
% 26.06/26.38 % --dbg_backtrace false
% 26.06/26.38 % --dbg_dump_prop_clauses false
% 26.06/26.38 % --dbg_dump_prop_clauses_file -
% 26.06/26.38 % --dbg_out_stat false
% 26.06/26.38
% 26.06/26.38 % ------ General Options
% 26.06/26.38
% 26.06/26.38 % --fof false
% 26.06/26.38 % --time_out_real 150.
% 26.06/26.38 % --time_out_prep_mult 0.2
% 26.06/26.38 % --time_out_virtual -1.
% 26.06/26.38 % --schedule none
% 26.06/26.38 % --ground_splitting input
% 26.06/26.38 % --splitting_nvd 16
% 26.06/26.38 % --non_eq_to_eq false
% 26.06/26.38 % --prep_gs_sim true
% 26.06/26.38 % --prep_unflatten false
% 26.06/26.38 % --prep_res_sim true
% 26.06/26.38 % --prep_upred true
% 26.06/26.38 % --res_sim_input true
% 26.06/26.38 % --clause_weak_htbl true
% 26.06/26.38 % --gc_record_bc_elim false
% 26.06/26.38 % --symbol_type_check false
% 26.06/26.38 % --clausify_out false
% 26.06/26.38 % --large_theory_mode false
% 26.06/26.38 % --prep_sem_filter none
% 26.06/26.38 % --prep_sem_filter_out false
% 26.06/26.38 % --preprocessed_out false
% 26.06/26.38 % --sub_typing false
% 26.06/26.38 % --brand_transform false
% 26.06/26.38 % --pure_diseq_elim true
% 26.06/26.38 % --min_unsat_core false
% 26.06/26.38 % --pred_elim true
% 26.06/26.38 % --add_important_lit false
% 26.06/26.38 % --soft_assumptions false
% 26.06/26.38 % --reset_solvers false
% 26.06/26.38 % --bc_imp_inh []
% 26.06/26.38 % --conj_cone_tolerance 1.5
% 26.06/26.38 % --prolific_symb_bound 500
% 26.06/26.38 % --lt_threshold 2000
% 26.06/26.38
% 26.06/26.38 % ------ SAT Options
% 26.06/26.38
% 26.06/26.38 % --sat_mode false
% 26.06/26.38 % --sat_fm_restart_options ""
% 26.06/26.38 % --sat_gr_def false
% 26.06/26.38 % --sat_epr_types true
% 26.06/26.38 % --sat_non_cyclic_types false
% 26.06/26.38 % --sat_finite_models false
% 26.06/26.38 % --sat_fm_lemmas false
% 26.06/26.38 % --sat_fm_prep false
% 26.06/26.38 % --sat_fm_uc_incr true
% 26.06/26.38 % --sat_out_model small
% 26.06/26.38 % --sat_out_clauses false
% 26.06/26.38
% 26.06/26.38 % ------ QBF Options
% 26.06/26.38
% 26.06/26.38 % --qbf_mode false
% 26.06/26.38 % --qbf_elim_univ true
% 26.06/26.38 % --qbf_sk_in true
% 26.06/26.38 % --qbf_pred_elim true
% 26.06/26.38 % --qbf_split 32
% 26.06/26.38
% 26.06/26.38 % ------ BMC1 Options
% 26.06/26.38
% 26.06/26.38 % --bmc1_incremental false
% 26.06/26.38 % --bmc1_axioms reachable_all
% 26.06/26.38 % --bmc1_min_bound 0
% 26.06/26.38 % --bmc1_max_bound -1
% 26.06/26.38 % --bmc1_max_bound_default -1
% 26.06/26.38 % --bmc1_symbol_reachability true
% 26.06/26.38 % --bmc1_property_lemmas false
% 26.06/26.38 % --bmc1_k_induction false
% 26.06/26.38 % --bmc1_non_equiv_states false
% 26.06/26.38 % --bmc1_deadlock false
% 26.06/26.38 % --bmc1_ucm false
% 26.06/26.38 % --bmc1_add_unsat_core none
% 150.52/150.81 % --bmc1_unsat_core_children false
% 150.52/150.81 % --bmc1_unsat_core_extrapolate_axioms false
% 150.52/150.81 % --bmc1_out_stat full
% 150.52/150.81 % --bmc1_ground_init false
% 150.52/150.81 % --bmc1_pre_inst_next_state false
% 150.52/150.81 % --bmc1_pre_inst_state false
% 150.52/150.81 % --bmc1_pre_inst_reach_state false
% 150.52/150.81 % --bmc1_out_unsat_core false
% 150.52/150.81 % --bmc1_aig_witness_out false
% 150.52/150.81 % --bmc1_verbose false
% 150.52/150.81 % --bmc1_dump_clauses_tptp false
% 150.52/150.81 % --bmc1_dump_unsat_core_tptp false
% 150.52/150.81 % --bmc1_dump_file -
% 150.52/150.81 % --bmc1_ucm_expand_uc_limit 128
% 150.52/150.81 % --bmc1_ucm_n_expand_iterations 6
% 150.52/150.81 % --bmc1_ucm_extend_mode 1
% 150.52/150.81 % --bmc1_ucm_init_mode 2
% 150.52/150.81 % --bmc1_ucm_cone_mode none
% 150.52/150.81 % --bmc1_ucm_reduced_relation_type 0
% 150.52/150.81 % --bmc1_ucm_relax_model 4
% 150.52/150.81 % --bmc1_ucm_full_tr_after_sat true
% 150.52/150.81 % --bmc1_ucm_expand_neg_assumptions false
% 150.52/150.81 % --bmc1_ucm_layered_model none
% 150.52/150.81 % --bmc1_ucm_max_lemma_size 10
% 150.52/150.81
% 150.52/150.81 % ------ AIG Options
% 150.52/150.81
% 150.52/150.81 % --aig_mode false
% 150.52/150.81
% 150.52/150.81 % ------ Instantiation Options
% 150.52/150.81
% 150.52/150.81 % --instantiation_flag true
% 150.52/150.81 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.52/150.81 % --inst_solver_per_active 750
% 150.52/150.81 % --inst_solver_calls_frac 0.5
% 150.52/150.81 % --inst_passive_queue_type priority_queues
% 150.52/150.81 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.52/150.81 % --inst_passive_queues_freq [25;2]
% 150.52/150.81 % --inst_dismatching true
% 150.52/150.81 % --inst_eager_unprocessed_to_passive true
% 150.52/150.81 % --inst_prop_sim_given true
% 150.52/150.81 % --inst_prop_sim_new false
% 150.52/150.81 % --inst_orphan_elimination true
% 150.52/150.81 % --inst_learning_loop_flag true
% 150.52/150.81 % --inst_learning_start 3000
% 150.52/150.81 % --inst_learning_factor 2
% 150.52/150.81 % --inst_start_prop_sim_after_learn 3
% 150.52/150.81 % --inst_sel_renew solver
% 150.52/150.81 % --inst_lit_activity_flag true
% 150.52/150.81 % --inst_out_proof true
% 150.52/150.81
% 150.52/150.81 % ------ Resolution Options
% 150.52/150.81
% 150.52/150.81 % --resolution_flag true
% 150.52/150.81 % --res_lit_sel kbo_max
% 150.52/150.81 % --res_to_prop_solver none
% 150.52/150.81 % --res_prop_simpl_new false
% 150.52/150.81 % --res_prop_simpl_given false
% 150.52/150.81 % --res_passive_queue_type priority_queues
% 150.52/150.81 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.52/150.81 % --res_passive_queues_freq [15;5]
% 150.52/150.81 % --res_forward_subs full
% 150.52/150.81 % --res_backward_subs full
% 150.52/150.81 % --res_forward_subs_resolution true
% 150.52/150.81 % --res_backward_subs_resolution true
% 150.52/150.81 % --res_orphan_elimination false
% 150.52/150.81 % --res_time_limit 1000.
% 150.52/150.81 % --res_out_proof true
% 150.52/150.81 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_5b7b3a.s
% 150.52/150.81 % --modulo true
% 150.52/150.81
% 150.52/150.81 % ------ Combination Options
% 150.52/150.81
% 150.52/150.81 % --comb_res_mult 1000
% 150.52/150.81 % --comb_inst_mult 300
% 150.52/150.81 % ------
% 150.52/150.81
% 150.52/150.81
% 150.52/150.81
% 150.52/150.81 % ------ Proving...
% 150.52/150.81 %
% 150.52/150.81
% 150.52/150.81
% 150.52/150.81 % Time Out Real
% 150.52/150.81
% 150.52/150.81 % ------ Statistics
% 150.52/150.81
% 150.52/150.81 % ------ General
% 150.52/150.81
% 150.52/150.81 % num_of_input_clauses: 6143
% 150.52/150.81 % num_of_input_neg_conjectures: 1
% 150.52/150.81 % num_of_splits: 0
% 150.52/150.81 % num_of_split_atoms: 0
% 150.52/150.81 % num_of_sem_filtered_clauses: 0
% 150.52/150.81 % num_of_subtypes: 0
% 150.52/150.81 % monotx_restored_types: 0
% 150.52/150.81 % sat_num_of_epr_types: 0
% 150.52/150.81 % sat_num_of_non_cyclic_types: 0
% 150.52/150.81 % sat_guarded_non_collapsed_types: 0
% 150.52/150.81 % is_epr: 0
% 150.52/150.81 % is_horn: 0
% 150.52/150.81 % has_eq: 1
% 150.52/150.81 % num_pure_diseq_elim: 0
% 150.52/150.81 % simp_replaced_by: 0
% 150.52/150.81 % res_preprocessed: 2
% 150.52/150.81 % prep_upred: 0
% 150.52/150.81 % prep_unflattend: 0
% 150.52/150.81 % pred_elim_cands: 0
% 150.52/150.81 % pred_elim: 0
% 150.54/150.84 % pred_elim_cl: 0
% 150.54/150.84 % pred_elim_cycles: 0
% 150.54/150.84 % forced_gc_time: 0
% 150.54/150.84 % gc_basic_clause_elim: 0
% 150.54/150.84 % parsing_time: 0.166
% 150.54/150.84 % sem_filter_time: 0.
% 150.54/150.84 % pred_elim_time: 0.
% 150.54/150.84 % out_proof_time: 0.
% 150.54/150.84 % monotx_time: 0.
% 150.54/150.84 % subtype_inf_time: 0.
% 150.54/150.84 % unif_index_cands_time: 0.137
% 150.54/150.84 % unif_index_add_time: 0.211
% 150.54/150.84 % total_time: 150.011
% 150.54/150.84 % num_of_symbols: 361
% 150.54/150.84 % num_of_terms: 7406691
% 150.54/150.84
% 150.54/150.84 % ------ Propositional Solver
% 150.54/150.84
% 150.54/150.84 % prop_solver_calls: 17
% 150.54/150.84 % prop_fast_solver_calls: 3
% 150.54/150.84 % prop_num_of_clauses: 69162
% 150.54/150.84 % prop_preprocess_simplified: 137975
% 150.54/150.84 % prop_fo_subsumed: 0
% 150.54/150.84 % prop_solver_time: 0.005
% 150.54/150.84 % prop_fast_solver_time: 0.
% 150.54/150.84 % prop_unsat_core_time: 0.
% 150.54/150.84
% 150.54/150.84 % ------ QBF
% 150.54/150.84
% 150.54/150.84 % qbf_q_res: 0
% 150.54/150.84 % qbf_num_tautologies: 0
% 150.54/150.84 % qbf_prep_cycles: 0
% 150.54/150.84
% 150.54/150.84 % ------ BMC1
% 150.54/150.84
% 150.54/150.84 % bmc1_current_bound: -1
% 150.54/150.84 % bmc1_last_solved_bound: -1
% 150.54/150.84 % bmc1_unsat_core_size: -1
% 150.54/150.84 % bmc1_unsat_core_parents_size: -1
% 150.54/150.84 % bmc1_merge_next_fun: 0
% 150.54/150.84 % bmc1_unsat_core_clauses_time: 0.
% 150.54/150.84
% 150.54/150.84 % ------ Instantiation
% 150.54/150.84
% 150.54/150.84 % inst_num_of_clauses: 54843
% 150.54/150.84 % inst_num_in_passive: 45484
% 150.54/150.84 % inst_num_in_active: 5998
% 150.54/150.84 % inst_num_in_unprocessed: 3361
% 150.54/150.84 % inst_num_of_loops: 5999
% 150.54/150.84 % inst_num_of_learning_restarts: 1
% 150.54/150.84 % inst_num_moves_active_passive: 0
% 150.54/150.84 % inst_lit_activity: 47200
% 150.54/150.84 % inst_lit_activity_moves: 0
% 150.54/150.84 % inst_num_tautologies: 0
% 150.54/150.84 % inst_num_prop_implied: 0
% 150.54/150.84 % inst_num_existing_simplified: 0
% 150.54/150.84 % inst_num_eq_res_simplified: 0
% 150.54/150.84 % inst_num_child_elim: 0
% 150.54/150.84 % inst_num_of_dismatching_blockings: 172
% 150.54/150.84 % inst_num_of_non_proper_insts: 13074
% 150.54/150.84 % inst_num_of_duplicates: 57113
% 150.54/150.84 % inst_inst_num_from_inst_to_res: 0
% 150.54/150.84 % inst_dismatching_checking_time: 6.507
% 150.54/150.84
% 150.54/150.84 % ------ Resolution
% 150.54/150.84
% 150.54/150.84 % res_num_of_clauses: 1744088
% 150.54/150.84 % res_num_in_passive: 1710682
% 150.54/150.84 % res_num_in_active: 29416
% 150.54/150.84 % res_num_of_loops: 30531
% 150.54/150.84 % res_forward_subset_subsumed: 6900
% 150.54/150.84 % res_backward_subset_subsumed: 20
% 150.54/150.84 % res_forward_subsumed: 3520
% 150.54/150.84 % res_backward_subsumed: 1
% 150.54/150.84 % res_forward_subsumption_resolution: 12
% 150.54/150.84 % res_backward_subsumption_resolution: 0
% 150.54/150.84 % res_clause_to_clause_subsumption: 68244
% 150.54/150.84 % res_orphan_elimination: 0
% 150.54/150.84 % res_tautology_del: 40
% 150.54/150.84 % res_num_eq_res_simplified: 1
% 150.54/150.84 % res_num_sel_changes: 0
% 150.54/150.84 % res_moves_from_active_to_pass: 0
% 150.54/150.84
% 150.54/150.84 % Status Unknown
% 150.61/151.17 % Orienting using strategy ClausalAll
% 150.61/151.17 % Orientation found
% 150.61/151.17 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_5b7b3a.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_27e139.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_87b134 | grep -v "SZS"
% 150.61/151.19
% 150.61/151.19 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 150.61/151.19
% 150.61/151.19 %
% 150.61/151.19 % ------ iProver source info
% 150.61/151.19
% 150.61/151.19 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 150.61/151.19 % git: non_committed_changes: true
% 150.61/151.19 % git: last_make_outside_of_git: true
% 150.61/151.19
% 150.61/151.19 %
% 150.61/151.19 % ------ Input Options
% 150.61/151.19
% 150.61/151.19 % --out_options all
% 150.61/151.19 % --tptp_safe_out true
% 150.61/151.19 % --problem_path ""
% 150.61/151.19 % --include_path ""
% 150.61/151.19 % --clausifier .//eprover
% 150.61/151.19 % --clausifier_options --tstp-format
% 150.61/151.19 % --stdin false
% 150.61/151.19 % --dbg_backtrace false
% 150.61/151.19 % --dbg_dump_prop_clauses false
% 150.61/151.19 % --dbg_dump_prop_clauses_file -
% 150.61/151.19 % --dbg_out_stat false
% 150.61/151.19
% 150.61/151.19 % ------ General Options
% 150.61/151.19
% 150.61/151.19 % --fof false
% 150.61/151.19 % --time_out_real 150.
% 150.61/151.19 % --time_out_prep_mult 0.2
% 150.61/151.19 % --time_out_virtual -1.
% 150.61/151.19 % --schedule none
% 150.61/151.19 % --ground_splitting input
% 150.61/151.19 % --splitting_nvd 16
% 150.61/151.19 % --non_eq_to_eq false
% 150.61/151.19 % --prep_gs_sim true
% 150.61/151.19 % --prep_unflatten false
% 150.61/151.19 % --prep_res_sim true
% 150.61/151.19 % --prep_upred true
% 150.61/151.19 % --res_sim_input true
% 150.61/151.19 % --clause_weak_htbl true
% 150.61/151.19 % --gc_record_bc_elim false
% 150.61/151.19 % --symbol_type_check false
% 150.61/151.19 % --clausify_out false
% 150.61/151.19 % --large_theory_mode false
% 150.61/151.19 % --prep_sem_filter none
% 150.61/151.19 % --prep_sem_filter_out false
% 150.61/151.19 % --preprocessed_out false
% 150.61/151.19 % --sub_typing false
% 150.61/151.19 % --brand_transform false
% 150.61/151.19 % --pure_diseq_elim true
% 150.61/151.19 % --min_unsat_core false
% 150.61/151.19 % --pred_elim true
% 150.61/151.19 % --add_important_lit false
% 150.61/151.19 % --soft_assumptions false
% 150.61/151.19 % --reset_solvers false
% 150.61/151.19 % --bc_imp_inh []
% 150.61/151.19 % --conj_cone_tolerance 1.5
% 150.61/151.19 % --prolific_symb_bound 500
% 150.61/151.19 % --lt_threshold 2000
% 150.61/151.19
% 150.61/151.19 % ------ SAT Options
% 150.61/151.19
% 150.61/151.19 % --sat_mode false
% 150.61/151.19 % --sat_fm_restart_options ""
% 150.61/151.19 % --sat_gr_def false
% 150.61/151.19 % --sat_epr_types true
% 150.61/151.19 % --sat_non_cyclic_types false
% 150.61/151.19 % --sat_finite_models false
% 150.61/151.19 % --sat_fm_lemmas false
% 150.61/151.19 % --sat_fm_prep false
% 150.61/151.19 % --sat_fm_uc_incr true
% 150.61/151.19 % --sat_out_model small
% 150.61/151.19 % --sat_out_clauses false
% 150.61/151.19
% 150.61/151.19 % ------ QBF Options
% 150.61/151.19
% 150.61/151.19 % --qbf_mode false
% 150.61/151.19 % --qbf_elim_univ true
% 150.61/151.19 % --qbf_sk_in true
% 150.61/151.19 % --qbf_pred_elim true
% 150.61/151.19 % --qbf_split 32
% 150.61/151.19
% 150.61/151.19 % ------ BMC1 Options
% 150.61/151.19
% 150.61/151.19 % --bmc1_incremental false
% 150.61/151.19 % --bmc1_axioms reachable_all
% 150.61/151.19 % --bmc1_min_bound 0
% 150.61/151.19 % --bmc1_max_bound -1
% 150.61/151.19 % --bmc1_max_bound_default -1
% 150.61/151.19 % --bmc1_symbol_reachability true
% 150.61/151.19 % --bmc1_property_lemmas false
% 150.61/151.19 % --bmc1_k_induction false
% 150.61/151.19 % --bmc1_non_equiv_states false
% 150.61/151.19 % --bmc1_deadlock false
% 150.61/151.19 % --bmc1_ucm false
% 150.61/151.19 % --bmc1_add_unsat_core none
% 150.61/151.19 % --bmc1_unsat_core_children false
% 150.61/151.19 % --bmc1_unsat_core_extrapolate_axioms false
% 150.61/151.19 % --bmc1_out_stat full
% 150.61/151.19 % --bmc1_ground_init false
% 150.61/151.19 % --bmc1_pre_inst_next_state false
% 150.61/151.19 % --bmc1_pre_inst_state false
% 150.61/151.19 % --bmc1_pre_inst_reach_state false
% 150.61/151.19 % --bmc1_out_unsat_core false
% 150.61/151.19 % --bmc1_aig_witness_out false
% 150.61/151.19 % --bmc1_verbose false
% 150.61/151.19 % --bmc1_dump_clauses_tptp false
% 161.19/161.51 % --bmc1_dump_unsat_core_tptp false
% 161.19/161.51 % --bmc1_dump_file -
% 161.19/161.51 % --bmc1_ucm_expand_uc_limit 128
% 161.19/161.51 % --bmc1_ucm_n_expand_iterations 6
% 161.19/161.51 % --bmc1_ucm_extend_mode 1
% 161.19/161.51 % --bmc1_ucm_init_mode 2
% 161.19/161.51 % --bmc1_ucm_cone_mode none
% 161.19/161.51 % --bmc1_ucm_reduced_relation_type 0
% 161.19/161.51 % --bmc1_ucm_relax_model 4
% 161.19/161.51 % --bmc1_ucm_full_tr_after_sat true
% 161.19/161.51 % --bmc1_ucm_expand_neg_assumptions false
% 161.19/161.51 % --bmc1_ucm_layered_model none
% 161.19/161.51 % --bmc1_ucm_max_lemma_size 10
% 161.19/161.51
% 161.19/161.51 % ------ AIG Options
% 161.19/161.51
% 161.19/161.51 % --aig_mode false
% 161.19/161.51
% 161.19/161.51 % ------ Instantiation Options
% 161.19/161.51
% 161.19/161.51 % --instantiation_flag true
% 161.19/161.51 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 161.19/161.51 % --inst_solver_per_active 750
% 161.19/161.51 % --inst_solver_calls_frac 0.5
% 161.19/161.51 % --inst_passive_queue_type priority_queues
% 161.19/161.51 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 161.19/161.51 % --inst_passive_queues_freq [25;2]
% 161.19/161.51 % --inst_dismatching true
% 161.19/161.51 % --inst_eager_unprocessed_to_passive true
% 161.19/161.51 % --inst_prop_sim_given true
% 161.19/161.51 % --inst_prop_sim_new false
% 161.19/161.51 % --inst_orphan_elimination true
% 161.19/161.51 % --inst_learning_loop_flag true
% 161.19/161.51 % --inst_learning_start 3000
% 161.19/161.51 % --inst_learning_factor 2
% 161.19/161.51 % --inst_start_prop_sim_after_learn 3
% 161.19/161.51 % --inst_sel_renew solver
% 161.19/161.51 % --inst_lit_activity_flag true
% 161.19/161.51 % --inst_out_proof true
% 161.19/161.51
% 161.19/161.51 % ------ Resolution Options
% 161.19/161.51
% 161.19/161.51 % --resolution_flag true
% 161.19/161.51 % --res_lit_sel kbo_max
% 161.19/161.51 % --res_to_prop_solver none
% 161.19/161.51 % --res_prop_simpl_new false
% 161.19/161.51 % --res_prop_simpl_given false
% 161.19/161.51 % --res_passive_queue_type priority_queues
% 161.19/161.51 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 161.19/161.51 % --res_passive_queues_freq [15;5]
% 161.19/161.51 % --res_forward_subs full
% 161.19/161.51 % --res_backward_subs full
% 161.19/161.51 % --res_forward_subs_resolution true
% 161.19/161.51 % --res_backward_subs_resolution true
% 161.19/161.51 % --res_orphan_elimination false
% 161.19/161.51 % --res_time_limit 1000.
% 161.19/161.51 % --res_out_proof true
% 161.19/161.51 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_5b7b3a.s
% 161.19/161.51 % --modulo true
% 161.19/161.51
% 161.19/161.51 % ------ Combination Options
% 161.19/161.51
% 161.19/161.51 % --comb_res_mult 1000
% 161.19/161.51 % --comb_inst_mult 300
% 161.19/161.51 % ------
% 161.19/161.51
% 161.19/161.51 % ------ Parsing...% successful
% 161.19/161.51
% 161.19/161.51 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 161.19/161.51
% 161.19/161.51 % ------ Proving...
% 161.19/161.51 % ------ Problem Properties
% 161.19/161.51
% 161.19/161.51 %
% 161.19/161.51 % EPR false
% 161.19/161.51 % Horn false
% 161.19/161.51 % Has equality true
% 161.19/161.51
% 161.19/161.51 % % ------ Input Options Time Limit: Unbounded
% 161.19/161.51
% 161.19/161.51
% 161.19/161.51 Compiling...
% 161.19/161.51 Loading plugin: done.
% 161.19/161.51 Compiling...
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% 161.19/161.51 Compiling...
% 171.24/171.53 Loading plugin: done.
% 171.24/171.53 Compiling...
% 171.24/171.53 Loading plugin: done.
% 171.24/171.53 Compiling...
% 171.24/171.53 Loading plugin: done.
% 171.24/171.53 Compiling...
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% 171.24/171.53 Compiling...
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% 171.24/171.53 Compiling...
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% 171.24/171.53 Compiling...
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% 171.24/171.53 Compiling...
% 171.24/171.53 Loading plugin: done.
% 171.24/171.53 % % ------ Current options:
% 171.24/171.53
% 171.24/171.53 % ------ Input Options
% 171.24/171.53
% 171.24/171.53 % --out_options all
% 171.24/171.53 % --tptp_safe_out true
% 171.24/171.53 % --problem_path ""
% 171.24/171.53 % --include_path ""
% 171.24/171.53 % --clausifier .//eprover
% 171.24/171.53 % --clausifier_options --tstp-format
% 171.24/171.53 % --stdin false
% 171.24/171.53 % --dbg_backtrace false
% 171.24/171.53 % --dbg_dump_prop_clauses false
% 171.24/171.53 % --dbg_dump_prop_clauses_file -
% 171.24/171.53 % --dbg_out_stat false
% 171.24/171.53
% 171.24/171.53 % ------ General Options
% 171.24/171.53
% 171.24/171.53 % --fof false
% 171.24/171.53 % --time_out_real 150.
% 171.24/171.53 % --time_out_prep_mult 0.2
% 171.24/171.53 % --time_out_virtual -1.
% 171.24/171.53 % --schedule none
% 171.24/171.53 % --ground_splitting input
% 171.24/171.53 % --splitting_nvd 16
% 171.24/171.53 % --non_eq_to_eq false
% 171.24/171.53 % --prep_gs_sim true
% 171.24/171.53 % --prep_unflatten false
% 171.24/171.53 % --prep_res_sim true
% 171.24/171.53 % --prep_upred true
% 171.24/171.53 % --res_sim_input true
% 171.24/171.53 % --clause_weak_htbl true
% 171.24/171.53 % --gc_record_bc_elim false
% 171.24/171.53 % --symbol_type_check false
% 171.24/171.53 % --clausify_out false
% 171.24/171.53 % --large_theory_mode false
% 171.24/171.53 % --prep_sem_filter none
% 171.24/171.53 % --prep_sem_filter_out false
% 171.24/171.53 % --preprocessed_out false
% 171.24/171.53 % --sub_typing false
% 171.24/171.53 % --brand_transform false
% 171.24/171.53 % --pure_diseq_elim true
% 171.24/171.53 % --min_unsat_core false
% 171.24/171.53 % --pred_elim true
% 171.24/171.53 % --add_important_lit false
% 171.24/171.53 % --soft_assumptions false
% 171.24/171.53 % --reset_solvers false
% 171.24/171.53 % --bc_imp_inh []
% 171.24/171.53 % --conj_cone_tolerance 1.5
% 171.24/171.53 % --prolific_symb_bound 500
% 171.24/171.53 % --lt_threshold 2000
% 171.24/171.53
% 171.24/171.53 % ------ SAT Options
% 171.24/171.53
% 171.24/171.53 % --sat_mode false
% 171.24/171.53 % --sat_fm_restart_options ""
% 171.24/171.53 % --sat_gr_def false
% 171.24/171.53 % --sat_epr_types true
% 171.24/171.53 % --sat_non_cyclic_types false
% 171.24/171.53 % --sat_finite_models false
% 171.24/171.53 % --sat_fm_lemmas false
% 171.24/171.53 % --sat_fm_prep false
% 171.24/171.53 % --sat_fm_uc_incr true
% 171.24/171.53 % --sat_out_model small
% 171.24/171.53 % --sat_out_clauses false
% 171.24/171.53
% 171.24/171.53 % ------ QBF Options
% 171.24/171.53
% 171.24/171.53 % --qbf_mode false
% 171.24/171.53 % --qbf_elim_univ true
% 171.24/171.53 % --qbf_sk_in true
% 171.24/171.53 % --qbf_pred_elim true
% 171.24/171.53 % --qbf_split 32
% 171.24/171.53
% 171.24/171.53 % ------ BMC1 Options
% 171.24/171.53
% 171.24/171.53 % --bmc1_incremental false
% 171.24/171.53 % --bmc1_axioms reachable_all
% 171.24/171.53 % --bmc1_min_bound 0
% 171.24/171.53 % --bmc1_max_bound -1
% 171.24/171.53 % --bmc1_max_bound_default -1
% 171.24/171.53 % --bmc1_symbol_reachability true
% 171.24/171.53 % --bmc1_property_lemmas false
% 171.24/171.53 % --bmc1_k_induction false
% 171.24/171.53 % --bmc1_non_equiv_states false
% 171.24/171.53 % --bmc1_deadlock false
% 171.24/171.53 % --bmc1_ucm false
% 171.24/171.53 % --bmc1_add_unsat_core none
% 171.24/171.53 % --bmc1_unsat_core_children false
% 171.24/171.53 % --bmc1_unsat_core_extrapolate_axioms false
% 171.24/171.53 % --bmc1_out_stat full
% 171.24/171.53 % --bmc1_ground_init false
% 171.24/171.53 % --bmc1_pre_inst_next_state false
% 171.24/171.53 % --bmc1_pre_inst_state false
% 171.24/171.53 % --bmc1_pre_inst_reach_state false
% 171.24/171.53 % --bmc1_out_unsat_core false
% 171.24/171.54 % --bmc1_aig_witness_out false
% 171.24/171.54 % --bmc1_verbose false
% 171.24/171.54 % --bmc1_dump_clauses_tptp false
% 171.24/171.54 % --bmc1_dump_unsat_core_tptp false
% 171.24/171.54 % --bmc1_dump_file -
% 171.24/171.54 % --bmc1_ucm_expand_uc_limit 128
% 171.24/171.54 % --bmc1_ucm_n_expand_iterations 6
% 171.24/171.54 % --bmc1_ucm_extend_mode 1
% 171.24/171.54 % --bmc1_ucm_init_mode 2
% 171.24/171.54 % --bmc1_ucm_cone_mode none
% 171.24/171.54 % --bmc1_ucm_reduced_relation_type 0
% 171.24/171.54 % --bmc1_ucm_relax_model 4
% 171.24/171.54 % --bmc1_ucm_full_tr_after_sat true
% 171.24/171.54 % --bmc1_ucm_expand_neg_assumptions false
% 171.24/171.54 % --bmc1_ucm_layered_model none
% 171.24/171.54 % --bmc1_ucm_max_lemma_size 10
% 171.24/171.54
% 171.24/171.54 % ------ AIG Options
% 171.24/171.54
% 171.24/171.54 % --aig_mode false
% 171.24/171.54
% 171.24/171.54 % ------ Instantiation Options
% 171.24/171.54
% 171.24/171.54 % --instantiation_flag true
% 171.24/171.54 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 171.24/171.54 % --inst_solver_per_active 750
% 171.24/171.54 % --inst_solver_calls_frac 0.5
% 171.24/171.54 % --inst_passive_queue_type priority_queues
% 171.24/171.54 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 171.24/171.54 % --inst_passive_queues_freq [25;2]
% 171.24/171.54 % --inst_dismatching true
% 171.24/171.54 % --inst_eager_unprocessed_to_passive true
% 171.24/171.54 % --inst_prop_sim_given true
% 171.24/171.54 % --inst_prop_sim_new false
% 171.24/171.54 % --inst_orphan_elimination true
% 171.24/171.54 % --inst_learning_loop_flag true
% 171.24/171.54 % --inst_learning_start 3000
% 171.24/171.54 % --inst_learning_factor 2
% 171.24/171.54 % --inst_start_prop_sim_after_learn 3
% 171.24/171.54 % --inst_sel_renew solver
% 171.24/171.54 % --inst_lit_activity_flag true
% 171.24/171.54 % --inst_out_proof true
% 171.24/171.54
% 171.24/171.54 % ------ Resolution Options
% 171.24/171.54
% 171.24/171.54 % --resolution_flag true
% 171.24/171.54 % --res_lit_sel kbo_max
% 171.24/171.54 % --res_to_prop_solver none
% 171.24/171.54 % --res_prop_simpl_new false
% 171.24/171.54 % --res_prop_simpl_given false
% 171.24/171.54 % --res_passive_queue_type priority_queues
% 171.24/171.54 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 171.24/171.54 % --res_passive_queues_freq [15;5]
% 171.24/171.54 % --res_forward_subs full
% 171.24/171.54 % --res_backward_subs full
% 171.24/171.54 % --res_forward_subs_resolution true
% 171.24/171.54 % --res_backward_subs_resolution true
% 171.24/171.54 % --res_orphan_elimination false
% 171.24/171.54 % --res_time_limit 1000.
% 171.24/171.54 % --res_out_proof true
% 171.24/171.54 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_5b7b3a.s
% 171.24/171.54 % --modulo true
% 171.24/171.54
% 171.24/171.54 % ------ Combination Options
% 171.24/171.54
% 171.24/171.54 % --comb_res_mult 1000
% 171.24/171.54 % --comb_inst_mult 300
% 171.24/171.54 % ------
% 171.24/171.54
% 171.24/171.54
% 171.24/171.54
% 171.24/171.54 % ------ Proving...
% 171.24/171.54 % warning: shown sat in sat incomplete mode
% 171.24/171.54 %
% 171.24/171.54
% 171.24/171.54
% 171.24/171.54
% 171.24/171.54
% 171.24/171.54 cnf(c_6142,negated_conjecture,
% 171.24/171.54 ( c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) != c_Message_Oanalz(c_Message_Osynth(v_H)) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_4) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_8574,negated_conjecture,
% 171.24/171.54 ( c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) != c_Message_Oanalz(c_Message_Osynth(v_H)) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6142]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_8578,negated_conjecture,
% 171.24/171.54 ( c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) != c_Message_Oanalz(c_Message_Osynth(v_H)) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_8574]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_8579,negated_conjecture,
% 171.24/171.54 ( c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) != c_Message_Oanalz(c_Message_Osynth(v_H)) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_8578]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_8580,negated_conjecture,
% 171.24/171.54 ( c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) != c_Message_Oanalz(c_Message_Osynth(v_H)) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_8579]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26558,negated_conjecture,
% 171.24/171.54 ( c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg) != c_Message_Oanalz(c_Message_Osynth(v_H)) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_8580]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5595,plain,
% 171.24/171.54 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 171.24/171.54 | X1 = X4 ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11525_1) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_25464,plain,
% 171.24/171.54 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 171.24/171.54 | X1 = X4 ),
% 171.24/171.54 inference(copy,[status(esa)],[c_5595]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26564,plain,
% 171.24/171.54 ( c_List_Onth(c_List_Olist__update(X0,c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),X1,X2),c_Message_Oanalz(c_Message_Osynth(v_H)),X2) = c_List_Onth(X0,c_Message_Oanalz(c_Message_Osynth(v_H)),X2) ),
% 171.24/171.54 inference(resolution,[status(thm)],[c_26558,c_25464]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26565,plain,
% 171.24/171.54 ( c_List_Onth(c_List_Olist__update(X0,c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),X1,X2),c_Message_Oanalz(c_Message_Osynth(v_H)),X2) = c_List_Onth(X0,c_Message_Oanalz(c_Message_Osynth(v_H)),X2) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26564]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_4653,plain,
% 171.24/171.54 ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 171.24/171.54 | X0 = X1 ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11813_1) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_23580,plain,
% 171.24/171.54 ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 171.24/171.54 | X0 = X1 ),
% 171.24/171.54 inference(copy,[status(esa)],[c_4653]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26562,plain,
% 171.24/171.54 ( c_List_Oremove1(c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_List_Olist_OCons(c_Message_Oanalz(c_Message_Osynth(v_H)),X0,X1),X1) = c_List_Olist_OCons(c_Message_Oanalz(c_Message_Osynth(v_H)),c_List_Oremove1(c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),X0,X1),X1) ),
% 171.24/171.54 inference(resolution,[status(thm)],[c_26558,c_23580]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26563,plain,
% 171.24/171.54 ( c_List_Oremove1(c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),c_List_Olist_OCons(c_Message_Oanalz(c_Message_Osynth(v_H)),X0,X1),X1) = c_List_Olist_OCons(c_Message_Oanalz(c_Message_Osynth(v_H)),c_List_Oremove1(c_union(c_Message_Oanalz(v_H),c_Message_Osynth(v_H),tc_Message_Omsg),X0,X1),X1) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26562]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6127,plain,
% 171.24/171.54 ( 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))))
% 171.24/171.54 | 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))))
% 171.24/171.54 | ~ 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)))) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11338_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26528,plain,
% 171.24/171.54 ( 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))))
% 171.24/171.54 | 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))))
% 171.24/171.54 | ~ 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)))) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6127]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26529,plain,
% 171.24/171.54 ( 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))))
% 171.24/171.54 | 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))))
% 171.24/171.54 | ~ 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)))) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26528]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6124,plain,
% 171.24/171.54 ( 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
% 171.24/171.54 | 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))))
% 171.24/171.54 | ~ 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)))) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11339_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26522,plain,
% 171.24/171.54 ( 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
% 171.24/171.54 | 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))))
% 171.24/171.54 | ~ 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)))) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6124]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26523,plain,
% 171.24/171.54 ( 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))))
% 171.24/171.54 | ~ 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))))
% 171.24/171.54 | 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 ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26522]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6121,plain,
% 171.24/171.54 ( 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
% 171.24/171.54 | 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))))
% 171.24/171.54 | ~ 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)))) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11340_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26516,plain,
% 171.24/171.54 ( 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
% 171.24/171.54 | 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))))
% 171.24/171.54 | ~ 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)))) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6121]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26517,plain,
% 171.24/171.54 ( 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))))
% 171.24/171.54 | ~ 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))))
% 171.24/171.54 | 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 ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26516]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6115,plain,
% 171.24/171.54 ( ~ 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))))
% 171.24/171.54 | 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))))
% 171.24/171.54 | ~ 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)))) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11343_1) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26504,plain,
% 171.24/171.54 ( ~ 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))))
% 171.24/171.54 | 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))))
% 171.24/171.54 | ~ 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)))) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6115]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26505,plain,
% 171.24/171.54 ( 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))))
% 171.24/171.54 | ~ 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))))
% 171.24/171.54 | ~ 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)))) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26504]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6097,plain,
% 171.24/171.54 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 171.24/171.54 | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3))
% 171.24/171.54 | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2)) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11351_1) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26468,plain,
% 171.24/171.54 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 171.24/171.54 | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3))
% 171.24/171.54 | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2)) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6097]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26469,plain,
% 171.24/171.54 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 171.24/171.54 | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3))
% 171.24/171.54 | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6)) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26468]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6091,plain,
% 171.24/171.54 ( 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))
% 171.24/171.54 | 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)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11353_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26456,plain,
% 171.24/171.54 ( 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))
% 171.24/171.54 | 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)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6091]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26457,plain,
% 171.24/171.54 ( 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)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | 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)) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26456]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6085,plain,
% 171.24/171.54 ( 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))
% 171.24/171.54 | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11355_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26444,plain,
% 171.24/171.54 ( 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))
% 171.24/171.54 | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6085]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26445,plain,
% 171.24/171.54 ( c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | 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)) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26444]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6078,plain,
% 171.24/171.54 ( 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))
% 171.24/171.54 | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11358_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26430,plain,
% 171.24/171.54 ( 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))
% 171.24/171.54 | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6078]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26431,plain,
% 171.24/171.54 ( c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | 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)) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26430]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6068,plain,
% 171.24/171.54 ( 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)
% 171.24/171.54 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11362_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26410,plain,
% 171.24/171.54 ( 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)
% 171.24/171.54 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6068]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26411,plain,
% 171.24/171.54 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.54 | 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) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26410]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6062,plain,
% 171.24/171.54 ( 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)
% 171.24/171.54 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11364_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26398,plain,
% 171.24/171.54 ( 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)
% 171.24/171.54 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6062]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26399,plain,
% 171.24/171.54 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.54 | 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) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26398]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6030,plain,
% 171.24/171.54 ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11378_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26334,plain,
% 171.24/171.54 ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6030]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26335,plain,
% 171.24/171.54 ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26334]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6027,plain,
% 171.24/171.54 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 171.24/171.54 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11379_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26328,plain,
% 171.24/171.54 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 171.24/171.54 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6027]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26329,plain,
% 171.24/171.54 ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X4,X1,X2,X3),X2,X3) = X1 ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26328]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6024,plain,
% 171.24/171.54 ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,X1,X2,X3),X2,X3) = X1
% 171.24/171.54 | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11380_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26322,plain,
% 171.24/171.54 ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,X1,X2,X3),X2,X3) = X1
% 171.24/171.54 | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6024]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26323,plain,
% 171.24/171.54 ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1 ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26322]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6012,plain,
% 171.24/171.54 ( 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)))
% 171.24/171.54 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2))
% 171.24/171.54 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11385_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26298,plain,
% 171.24/171.54 ( 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)))
% 171.24/171.54 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2))
% 171.24/171.54 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6012]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26299,plain,
% 171.24/171.54 ( 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)))
% 171.24/171.54 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 171.24/171.54 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26298]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6004,plain,
% 171.24/171.54 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 171.24/171.54 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 171.24/171.54 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11388_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26282,plain,
% 171.24/171.54 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 171.24/171.54 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 171.24/171.54 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6004]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26283,plain,
% 171.24/171.54 ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 171.24/171.54 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3))
% 171.24/171.54 | c_Sum__Type_OInr(c_Main_OPlusE__2(X4,X1,X3,X2),X3,X2) = X1 ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26282]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_6001,plain,
% 171.24/171.54 ( c_Sum__Type_OInl(c_Main_OPlusE__1(X0,X1,X2,X3),X2,X3) = X1
% 171.24/171.54 | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 171.24/171.54 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11389_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26276,plain,
% 171.24/171.54 ( c_Sum__Type_OInl(c_Main_OPlusE__1(X0,X1,X2,X3),X2,X3) = X1
% 171.24/171.54 | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 171.24/171.54 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_6001]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26277,plain,
% 171.24/171.54 ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 171.24/171.54 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2))
% 171.24/171.54 | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1 ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26276]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5998,plain,
% 171.24/171.54 ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 171.24/171.54 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 171.24/171.54 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11390_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26270,plain,
% 171.24/171.54 ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 171.24/171.54 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 171.24/171.54 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_5998]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26271,plain,
% 171.24/171.54 ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 171.24/171.54 | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 171.24/171.54 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26270]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5985,plain,
% 171.24/171.54 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 171.24/171.54 | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 171.24/171.54 | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11397_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26244,plain,
% 171.24/171.54 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 171.24/171.54 | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 171.24/171.54 | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_5985]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26245,plain,
% 171.24/171.54 ( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 171.24/171.54 | ~ c_Wellfounded__Recursion_Owf(X3,X2)
% 171.24/171.54 | c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26244]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5968,plain,
% 171.24/171.54 ( 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)
% 171.24/171.54 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 171.24/171.54 | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11404_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26210,plain,
% 171.24/171.54 ( 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)
% 171.24/171.54 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 171.24/171.54 | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_5968]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26211,plain,
% 171.24/171.54 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 171.24/171.54 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 171.24/171.54 | 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) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26210]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5961,plain,
% 171.24/171.54 ( 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))
% 171.24/171.54 | ~ 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)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11409_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26196,plain,
% 171.24/171.54 ( 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))
% 171.24/171.54 | ~ 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)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_5961]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26197,plain,
% 171.24/171.54 ( ~ 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)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | 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)) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26196]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5958,plain,
% 171.24/171.54 ( 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)
% 171.24/171.54 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11410_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26190,plain,
% 171.24/171.54 ( 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)
% 171.24/171.54 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_5958]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26191,plain,
% 171.24/171.54 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | 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) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26190]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5952,plain,
% 171.24/171.54 ( 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)
% 171.24/171.54 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11412_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26178,plain,
% 171.24/171.54 ( 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)
% 171.24/171.54 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_5952]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26179,plain,
% 171.24/171.54 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | 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) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26178]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5944,plain,
% 171.24/171.54 ( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 171.24/171.54 | ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
% 171.24/171.54 | ~ c_in(X5,X2,X3) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11416_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26162,plain,
% 171.24/171.54 ( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 171.24/171.54 | ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
% 171.24/171.54 | ~ c_in(X5,X2,X3) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_5944]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26163,plain,
% 171.24/171.54 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 171.24/171.54 | c_in(X1,c_Relation_OImage(X4,X5,X2,X3),X3)
% 171.24/171.54 | ~ c_in(X0,X5,X2) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26162]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5938,plain,
% 171.24/171.54 ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | 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)))
% 171.24/171.54 | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11420_1) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26150,plain,
% 171.24/171.54 ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | 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)))
% 171.24/171.54 | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_5938]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26151,plain,
% 171.24/171.54 ( 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)))
% 171.24/171.54 | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.54 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26150]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5934,plain,
% 171.24/171.54 ( 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))
% 171.24/171.54 | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11421_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26142,plain,
% 171.24/171.54 ( 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))
% 171.24/171.54 | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_5934]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26143,plain,
% 171.24/171.54 ( ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.54 | 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)) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26142]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5928,plain,
% 171.24/171.54 ( 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))
% 171.24/171.54 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 171.24/171.54 | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11423_2) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26130,plain,
% 171.24/171.54 ( 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))
% 171.24/171.54 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 171.24/171.54 | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_5928]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26131,plain,
% 171.24/171.54 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 171.24/171.54 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 171.24/171.54 | 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)) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26130]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5922,plain,
% 171.24/171.54 ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 171.24/171.54 | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
% 171.24/171.54 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 171.24/171.54 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11429_1) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26118,plain,
% 171.24/171.54 ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 171.24/171.54 | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
% 171.24/171.54 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 171.24/171.54 inference(copy,[status(esa)],[c_5922]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_26119,plain,
% 171.24/171.54 ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 171.24/171.54 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat)
% 171.24/171.54 | ~ c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 171.24/171.54 inference(rewriting,[status(thm)],[c_26118]) ).
% 171.24/171.54
% 171.24/171.54 cnf(c_5903,plain,
% 171.24/171.55 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 171.24/171.55 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11441_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_26080,plain,
% 171.24/171.55 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 171.24/171.55 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5903]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_26081,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.55 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 171.24/171.55 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_26080]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5896,plain,
% 171.24/171.55 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11442_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_26066,plain,
% 171.24/171.55 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5896]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_26067,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.55 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_26066]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5889,plain,
% 171.24/171.55 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11443_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_26052,plain,
% 171.24/171.55 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5889]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_26053,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.55 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 171.24/171.55 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 171.24/171.55 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_26052]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5882,plain,
% 171.24/171.55 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11444_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_26038,plain,
% 171.24/171.55 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5882]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_26039,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.55 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 171.24/171.55 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_26038]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5875,plain,
% 171.24/171.55 ( 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)
% 171.24/171.55 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11450_2) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_26024,plain,
% 171.24/171.55 ( 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)
% 171.24/171.55 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5875]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_26025,plain,
% 171.24/171.55 ( ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.55 | 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) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_26024]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5868,plain,
% 171.24/171.55 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(X0,c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11451_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_26010,plain,
% 171.24/171.55 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(X0,c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5868]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_26011,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.55 | ~ c_less(X1,c_0,X0)
% 171.24/171.55 | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | c_less(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_26010]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5861,plain,
% 171.24/171.55 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_lessequals(X0,c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11452_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25996,plain,
% 171.24/171.55 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_lessequals(X0,c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5861]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25997,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.55 | ~ c_lessequals(X1,c_0,X0)
% 171.24/171.55 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25996]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5854,plain,
% 171.24/171.55 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_0,X3,X2)
% 171.24/171.55 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11453_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25982,plain,
% 171.24/171.55 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_0,X3,X2)
% 171.24/171.55 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5854]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25983,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_less(c_0,X1,X0)
% 171.24/171.55 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.55 | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 171.24/171.55 | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25982]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5847,plain,
% 171.24/171.55 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_lessequals(c_0,X3,X2)
% 171.24/171.55 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11454_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25968,plain,
% 171.24/171.55 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_lessequals(c_0,X3,X2)
% 171.24/171.55 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5847]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25969,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_0,X1,X0)
% 171.24/171.55 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.55 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 171.24/171.55 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25968]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5844,plain,
% 171.24/171.55 ( 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)
% 171.24/171.55 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 171.24/171.55 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11455_2) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25962,plain,
% 171.24/171.55 ( 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)
% 171.24/171.55 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 171.24/171.55 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5844]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25963,plain,
% 171.24/171.55 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.55 | ~ class_Power_Orecpower(X0)
% 171.24/171.55 | 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) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25962]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5829,plain,
% 171.24/171.55 ( c_Map_Omap__of(c_List_Ozip(X0,X1,X2,X3),X4,X2,X3) = c_Datatype_Ooption_ONone
% 171.24/171.55 | c_in(X4,c_List_Oset(X0,X2),X2)
% 171.24/171.55 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11465_2) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25932,plain,
% 171.24/171.55 ( c_Map_Omap__of(c_List_Ozip(X0,X1,X2,X3),X4,X2,X3) = c_Datatype_Ooption_ONone
% 171.24/171.55 | c_in(X4,c_List_Oset(X0,X2),X2)
% 171.24/171.55 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5829]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25933,plain,
% 171.24/171.55 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 171.24/171.55 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 171.24/171.55 | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) = c_Datatype_Ooption_ONone ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25932]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5814,plain,
% 171.24/171.55 ( c_less(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 171.24/171.55 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11476_4) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25902,plain,
% 171.24/171.55 ( c_less(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 171.24/171.55 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5814]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25903,plain,
% 171.24/171.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.55 | ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.55 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | c_less(X3,X2,X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25902]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5809,plain,
% 171.24/171.55 ( c_less(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 171.24/171.55 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11477_4) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25892,plain,
% 171.24/171.55 ( c_less(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 171.24/171.55 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5809]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25893,plain,
% 171.24/171.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.55 | ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.55 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | c_less(X2,X3,X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25892]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5804,plain,
% 171.24/171.55 ( c_less(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 171.24/171.55 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11478_4) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25882,plain,
% 171.24/171.55 ( c_less(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 171.24/171.55 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5804]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25883,plain,
% 171.24/171.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.55 | ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.55 | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.55 | c_less(X3,X2,X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25882]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5799,plain,
% 171.24/171.55 ( c_less(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 171.24/171.55 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11479_4) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25872,plain,
% 171.24/171.55 ( c_less(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 171.24/171.55 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5799]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25873,plain,
% 171.24/171.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.55 | ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.55 | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.55 | c_less(X2,X3,X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25872]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5794,plain,
% 171.24/171.55 ( c_lessequals(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11480_4) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25862,plain,
% 171.24/171.55 ( c_lessequals(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5794]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25863,plain,
% 171.24/171.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.55 | ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | c_lessequals(X3,X1,X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25862]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5789,plain,
% 171.24/171.55 ( c_lessequals(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11481_4) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25852,plain,
% 171.24/171.55 ( c_lessequals(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5789]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25853,plain,
% 171.24/171.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.55 | ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | c_lessequals(X1,X3,X0)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25852]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5784,plain,
% 171.24/171.55 ( c_lessequals(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11482_4) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25842,plain,
% 171.24/171.55 ( c_lessequals(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5784]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25843,plain,
% 171.24/171.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.55 | ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.55 | c_lessequals(X3,X2,X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25842]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5779,plain,
% 171.24/171.55 ( c_lessequals(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11483_4) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25832,plain,
% 171.24/171.55 ( c_lessequals(X0,X1,X2)
% 171.24/171.55 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5779]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25833,plain,
% 171.24/171.55 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.55 | ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.55 | c_lessequals(X2,X3,X0)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25832]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5772,plain,
% 171.24/171.55 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.55 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.55 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.55 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11484_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25818,plain,
% 171.24/171.55 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.55 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.55 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.55 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5772]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25819,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.55 | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25818]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5765,plain,
% 171.24/171.55 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.55 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.55 | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.55 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11485_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25804,plain,
% 171.24/171.55 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.55 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.55 | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.55 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5765]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25805,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.55 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25804]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5758,plain,
% 171.24/171.55 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.55 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11486_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25790,plain,
% 171.24/171.55 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.55 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5758]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25791,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.55 | c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25790]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5751,plain,
% 171.24/171.55 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.55 | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11487_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25776,plain,
% 171.24/171.55 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.55 | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5751]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25777,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.55 | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25776]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5744,plain,
% 171.24/171.55 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11488_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25762,plain,
% 171.24/171.55 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5744]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25763,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.55 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 171.24/171.55 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25762]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5737,plain,
% 171.24/171.55 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11489_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25748,plain,
% 171.24/171.55 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5737]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25749,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.55 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 171.24/171.55 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25748]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5730,plain,
% 171.24/171.55 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11490_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25734,plain,
% 171.24/171.55 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5730]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25735,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.55 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25734]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5723,plain,
% 171.24/171.55 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11491_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25720,plain,
% 171.24/171.55 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5723]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25721,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.55 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 171.24/171.55 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25720]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5710,plain,
% 171.24/171.55 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.55 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 171.24/171.55 | ~ c_less(X2,c_0,X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.55 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11497_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25694,plain,
% 171.24/171.55 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.55 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 171.24/171.55 | ~ c_less(X2,c_0,X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.55 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5710]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25695,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.55 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 171.24/171.55 | ~ c_less(X2,c_0,X0)
% 171.24/171.55 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25694]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5703,plain,
% 171.24/171.55 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.55 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ c_less(X2,c_0,X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.55 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11498_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25680,plain,
% 171.24/171.55 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.55 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.55 | ~ c_less(X2,c_0,X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.55 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5703]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25681,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.55 | ~ c_less(X2,c_0,X0)
% 171.24/171.55 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25680]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5696,plain,
% 171.24/171.55 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 171.24/171.55 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_lessequals(X0,c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11499_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25666,plain,
% 171.24/171.55 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 171.24/171.55 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_lessequals(X0,c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5696]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25667,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.55 | ~ c_lessequals(X1,c_0,X0)
% 171.24/171.55 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25666]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5689,plain,
% 171.24/171.55 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.55 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_lessequals(X0,c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11500_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25652,plain,
% 171.24/171.55 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.55 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_lessequals(X0,c_0,X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5689]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25653,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(X1,c_0,X0)
% 171.24/171.55 | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.55 | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25652]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5682,plain,
% 171.24/171.55 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ c_less(c_0,X3,X2)
% 171.24/171.55 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11501_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25638,plain,
% 171.24/171.55 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ c_less(c_0,X3,X2)
% 171.24/171.55 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5682]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25639,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_less(c_0,X1,X0)
% 171.24/171.55 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 171.24/171.55 | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 171.24/171.55 | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25638]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5675,plain,
% 171.24/171.55 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_0,X3,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11502_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25624,plain,
% 171.24/171.55 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_less(c_0,X3,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5675]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25625,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.55 | ~ c_less(c_0,X2,X0)
% 171.24/171.55 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 171.24/171.55 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25624]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5668,plain,
% 171.24/171.55 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ c_lessequals(c_0,X3,X2)
% 171.24/171.55 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11503_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25610,plain,
% 171.24/171.55 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.55 | ~ c_lessequals(c_0,X3,X2)
% 171.24/171.55 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5668]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25611,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_0,X1,X0)
% 171.24/171.55 | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 171.24/171.55 | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.55 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25610]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5661,plain,
% 171.24/171.55 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_lessequals(c_0,X3,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11504_6) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25596,plain,
% 171.24/171.55 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 171.24/171.55 | ~ c_lessequals(c_0,X3,X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5661]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25597,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_0,X1,X0)
% 171.24/171.55 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.55 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 171.24/171.55 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25596]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5655,plain,
% 171.24/171.55 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11507_5) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25584,plain,
% 171.24/171.55 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5655]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25585,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.55 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 171.24/171.55 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25584]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5649,plain,
% 171.24/171.55 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11508_5) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25572,plain,
% 171.24/171.55 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5649]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25573,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.55 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 171.24/171.55 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25572]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5643,plain,
% 171.24/171.55 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11509_5) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25560,plain,
% 171.24/171.55 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5643]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25561,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.55 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25560]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5637,plain,
% 171.24/171.55 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11510_5) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25548,plain,
% 171.24/171.55 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5637]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25549,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.55 | ~ c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25548]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5631,plain,
% 171.24/171.55 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11511_5) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25536,plain,
% 171.24/171.55 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5631]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25537,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.55 | c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 171.24/171.55 | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25536]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5625,plain,
% 171.24/171.55 ( c_less(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11512_5) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25524,plain,
% 171.24/171.55 ( c_less(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.55 | ~ c_less(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.55 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.55 inference(copy,[status(esa)],[c_5625]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25525,plain,
% 171.24/171.55 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.55 | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 171.24/171.55 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.55 inference(rewriting,[status(thm)],[c_25524]) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_5619,plain,
% 171.24/171.55 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.55 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11513_5) ).
% 171.24/171.55
% 171.24/171.55 cnf(c_25512,plain,
% 171.24/171.55 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.55 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.55 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.55 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.55 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5619]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25513,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.56 | ~ c_lessequals(X1,c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.56 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25512]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5613,plain,
% 171.24/171.56 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.56 | ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.56 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.56 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11514_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25500,plain,
% 171.24/171.56 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.56 | ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 171.24/171.56 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.56 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5613]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25501,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 171.24/171.56 | c_lessequals(X1,c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.56 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25500]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5589,plain,
% 171.24/171.56 ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 171.24/171.56 | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 171.24/171.56 | ~ c_Wellfounded__Recursion_Owf(X2,X3) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11531_1) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25452,plain,
% 171.24/171.56 ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 171.24/171.56 | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 171.24/171.56 | ~ c_Wellfounded__Recursion_Owf(X2,X3) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5589]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25453,plain,
% 171.24/171.56 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 171.24/171.56 | ~ c_Wellfounded__Recursion_Owf(X1,X3)
% 171.24/171.56 | ~ c_Wellfounded__Recursion_Owf(X0,X2) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25452]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5586,plain,
% 171.24/171.56 ( ~ c_Relation_Otrans(X0,X1)
% 171.24/171.56 | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 171.24/171.56 | ~ c_Relation_Otrans(X2,X3) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11532_1) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25446,plain,
% 171.24/171.56 ( ~ c_Relation_Otrans(X0,X1)
% 171.24/171.56 | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 171.24/171.56 | ~ c_Relation_Otrans(X2,X3) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5586]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25447,plain,
% 171.24/171.56 ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 171.24/171.56 | ~ c_Relation_Otrans(X1,X3)
% 171.24/171.56 | ~ c_Relation_Otrans(X0,X2) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25446]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5578,plain,
% 171.24/171.56 ( c_less(X0,X1,tc_nat)
% 171.24/171.56 | ~ c_less(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 171.24/171.56 | ~ c_less(c_1,X2,X3)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 171.24/171.56 | ~ class_Power_Orecpower(X3) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11534_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25430,plain,
% 171.24/171.56 ( c_less(X0,X1,tc_nat)
% 171.24/171.56 | ~ c_less(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 171.24/171.56 | ~ c_less(c_1,X2,X3)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 171.24/171.56 | ~ class_Power_Orecpower(X3) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5578]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25431,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.24/171.56 | ~ class_Power_Orecpower(X0)
% 171.24/171.56 | ~ c_less(c_1,X1,X0)
% 171.24/171.56 | ~ c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 171.24/171.56 | c_less(X2,X3,tc_nat) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25430]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5573,plain,
% 171.24/171.56 ( c_lessequals(X0,X1,tc_nat)
% 171.24/171.56 | ~ c_lessequals(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 171.24/171.56 | ~ c_less(c_1,X2,X3)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 171.24/171.56 | ~ class_Power_Orecpower(X3) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11535_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25420,plain,
% 171.24/171.56 ( c_lessequals(X0,X1,tc_nat)
% 171.24/171.56 | ~ c_lessequals(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 171.24/171.56 | ~ c_less(c_1,X2,X3)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 171.24/171.56 | ~ class_Power_Orecpower(X3) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5573]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25421,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.24/171.56 | ~ class_Power_Orecpower(X0)
% 171.24/171.56 | ~ c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 171.24/171.56 | c_lessequals(X2,X3,tc_nat)
% 171.24/171.56 | ~ c_less(c_1,X1,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25420]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5570,plain,
% 171.24/171.56 ( 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Osemiring(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11536_2) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25414,plain,
% 171.24/171.56 ( 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Osemiring(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5570]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25415,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Osemiring(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | 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) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25414]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5567,plain,
% 171.24/171.56 ( 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Oring(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11537_2) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25408,plain,
% 171.24/171.56 ( 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Oring(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5567]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25409,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oring(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | 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) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25408]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5564,plain,
% 171.24/171.56 ( 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Osemiring(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11538_2) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25402,plain,
% 171.24/171.56 ( 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Osemiring(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5564]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25403,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Osemiring(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | 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) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25402]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5561,plain,
% 171.24/171.56 ( 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Oring(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11539_2) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25396,plain,
% 171.24/171.56 ( 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Oring(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5561]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25397,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oring(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | 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) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25396]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5557,plain,
% 171.24/171.56 ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11541_3) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25388,plain,
% 171.24/171.56 ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5557]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25389,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.56 | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | ~ 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) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25388]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5550,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(X2,c_0,X1)
% 171.24/171.56 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11542_6) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25374,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(X2,c_0,X1)
% 171.24/171.56 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5550]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25375,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | c_less(X2,c_0,X0)
% 171.24/171.56 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25374]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5543,plain,
% 171.24/171.56 ( c_lessequals(X0,c_0,X1)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.56 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11543_6) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25360,plain,
% 171.24/171.56 ( c_lessequals(X0,c_0,X1)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.56 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5543]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25361,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(X1,c_0,X0)
% 171.24/171.56 | ~ c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25360]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5536,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(c_0,X2,X1)
% 171.24/171.56 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11544_6) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25346,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(c_0,X2,X1)
% 171.24/171.56 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5536]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25347,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_less(c_0,X2,X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25346]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5529,plain,
% 171.24/171.56 ( c_lessequals(c_0,X0,X1)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.56 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11545_6) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25332,plain,
% 171.24/171.56 ( c_lessequals(c_0,X0,X1)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.56 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5529]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25333,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_0,X1,X0)
% 171.24/171.56 | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25332]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5524,plain,
% 171.24/171.56 ( 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)
% 171.24/171.56 | ~ c_less(c_0,X0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11546_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25322,plain,
% 171.24/171.56 ( 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)
% 171.24/171.56 | ~ c_less(c_0,X0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5524]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25323,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.56 | 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)
% 171.24/171.56 | ~ c_less(c_0,X1,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25322]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5522,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ c_less(X1,X2,X0)
% 171.24/171.56 | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.56 | ~ c_less(X2,X1,X0) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11547_1) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25318,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ c_less(X1,X2,X0)
% 171.24/171.56 | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.56 | ~ c_less(X2,X1,X0) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5522]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25319,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.56 | ~ c_less(X3,X1,X0)
% 171.24/171.56 | ~ c_less(X1,X3,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25318]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5519,plain,
% 171.24/171.56 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.56 | ~ c_less(X0,X3,X2)
% 171.24/171.56 | ~ c_less(X3,X0,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11547_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25312,plain,
% 171.24/171.56 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.56 | ~ c_less(X0,X3,X2)
% 171.24/171.56 | ~ c_less(X3,X0,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5519]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25313,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.56 | ~ c_less(X1,X3,X0)
% 171.24/171.56 | ~ c_less(X3,X1,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25312]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5517,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ c_less(X1,X2,X0)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 171.24/171.56 | ~ c_less(X2,X1,X0) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11548_1) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25308,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ c_less(X1,X2,X0)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 171.24/171.56 | ~ c_less(X2,X1,X0) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5517]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25309,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.56 | ~ c_less(X3,X2,X0)
% 171.24/171.56 | ~ c_less(X2,X3,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25308]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5514,plain,
% 171.24/171.56 ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | ~ c_less(X2,X3,X1)
% 171.24/171.56 | ~ c_less(X3,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11548_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25302,plain,
% 171.24/171.56 ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | ~ c_less(X2,X3,X1)
% 171.24/171.56 | ~ c_less(X3,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5514]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25303,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.56 | ~ c_less(X2,X3,X0)
% 171.24/171.56 | ~ c_less(X3,X2,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25302]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5512,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.56 | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.56 | ~ c_lessequals(X2,X1,X0) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11549_1) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25298,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.56 | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.56 | ~ c_lessequals(X2,X1,X0) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5512]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25299,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.56 | ~ c_lessequals(X3,X1,X0)
% 171.24/171.56 | ~ c_lessequals(X1,X3,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25298]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5509,plain,
% 171.24/171.56 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.56 | ~ c_lessequals(X0,X3,X2)
% 171.24/171.56 | ~ c_lessequals(X3,X0,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11549_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25292,plain,
% 171.24/171.56 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.56 | ~ c_lessequals(X0,X3,X2)
% 171.24/171.56 | ~ c_lessequals(X3,X0,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5509]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25293,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.56 | ~ c_lessequals(X1,X3,X0)
% 171.24/171.56 | ~ c_lessequals(X3,X1,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25292]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5507,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.56 | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 171.24/171.56 | ~ c_lessequals(X2,X1,X0) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11550_1) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25288,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.56 | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 171.24/171.56 | ~ c_lessequals(X2,X1,X0) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5507]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25289,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.56 | ~ c_lessequals(X3,X2,X0)
% 171.24/171.56 | ~ c_lessequals(X2,X3,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25288]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5504,plain,
% 171.24/171.56 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | ~ c_lessequals(X2,X3,X1)
% 171.24/171.56 | ~ c_lessequals(X3,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11550_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25282,plain,
% 171.24/171.56 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | ~ c_lessequals(X2,X3,X1)
% 171.24/171.56 | ~ c_lessequals(X3,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5504]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25283,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.56 | ~ c_lessequals(X2,X3,X0)
% 171.24/171.56 | ~ c_lessequals(X3,X2,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25282]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5499,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.56 | ~ c_less(X2,X3,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11551_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25272,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.56 | ~ c_less(X2,X3,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5499]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25273,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.56 | ~ c_less(X2,X3,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25272]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5494,plain,
% 171.24/171.56 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.56 | ~ c_less(X3,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11552_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25262,plain,
% 171.24/171.56 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.56 | ~ c_less(X3,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5494]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25263,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.56 | ~ c_less(X3,X2,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25262]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5489,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | ~ c_less(X2,X3,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11553_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25252,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | ~ c_less(X2,X3,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5489]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25253,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.56 | ~ c_less(X2,X3,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25252]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5484,plain,
% 171.24/171.56 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | ~ c_less(X3,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11554_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25242,plain,
% 171.24/171.56 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | ~ c_less(X3,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5484]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25243,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.56 | ~ c_less(X3,X2,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25242]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5479,plain,
% 171.24/171.56 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.56 | ~ c_lessequals(X0,X3,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11555_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25232,plain,
% 171.24/171.56 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.56 | ~ c_lessequals(X0,X3,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5479]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25233,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.56 | ~ c_lessequals(X1,X3,X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25232]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5474,plain,
% 171.24/171.56 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.56 | ~ c_lessequals(X3,X0,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11556_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25222,plain,
% 171.24/171.56 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.56 | ~ c_lessequals(X3,X0,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5474]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25223,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.56 | ~ c_lessequals(X3,X1,X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25222]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5469,plain,
% 171.24/171.56 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | ~ c_lessequals(X2,X3,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11557_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25212,plain,
% 171.24/171.56 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | ~ c_lessequals(X2,X3,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5469]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25213,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.56 | ~ c_lessequals(X2,X3,X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25212]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5464,plain,
% 171.24/171.56 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_lessequals(X3,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11558_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25202,plain,
% 171.24/171.56 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_lessequals(X3,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5464]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25203,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.56 | ~ c_lessequals(X3,X2,X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25202]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5451,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11565_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25176,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5451]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25177,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25176]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5446,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11566_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25166,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5446]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25167,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25166]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5441,plain,
% 171.24/171.56 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11567_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25156,plain,
% 171.24/171.56 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5441]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25157,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25156]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5436,plain,
% 171.24/171.56 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11568_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25146,plain,
% 171.24/171.56 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5436]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25147,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25146]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5433,plain,
% 171.24/171.56 ( c_lessequals(X0,X1,tc_nat)
% 171.24/171.56 | ~ c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat)
% 171.24/171.56 | ~ c_less(c_0,X2,tc_nat) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11569_2) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25140,plain,
% 171.24/171.56 ( c_lessequals(X0,X1,tc_nat)
% 171.24/171.56 | ~ c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat)
% 171.24/171.56 | ~ c_less(c_0,X2,tc_nat) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5433]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25141,plain,
% 171.24/171.56 ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 171.24/171.56 | c_lessequals(X0,X2,tc_nat)
% 171.24/171.56 | ~ c_less(c_0,X1,tc_nat) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25140]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5430,plain,
% 171.24/171.56 ( c_lessequals(X0,X1,tc_nat)
% 171.24/171.56 | ~ c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 171.24/171.56 | ~ c_less(c_0,X2,tc_nat) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11570_2) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25134,plain,
% 171.24/171.56 ( c_lessequals(X0,X1,tc_nat)
% 171.24/171.56 | ~ c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 171.24/171.56 | ~ c_less(c_0,X2,tc_nat) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5430]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25135,plain,
% 171.24/171.56 ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 171.24/171.56 | c_lessequals(X1,X2,tc_nat)
% 171.24/171.56 | ~ c_less(c_0,X0,tc_nat) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25134]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5419,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 171.24/171.56 | ~ 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11576_3) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25112,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 171.24/171.56 | ~ 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5419]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25113,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 171.24/171.56 | ~ 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) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25112]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5413,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11577_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25100,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5413]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25101,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25100]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5407,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11578_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25088,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5407]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25089,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 171.24/171.56 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25088]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5401,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11579_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25076,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5401]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25077,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25076]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5395,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11580_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25064,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5395]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25065,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25064]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5376,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,X2,X1)
% 171.24/171.56 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11592_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25026,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,X2,X1)
% 171.24/171.56 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5376]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25027,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 171.24/171.56 | c_less(c_0,X2,X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25026]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5370,plain,
% 171.24/171.56 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(X2,c_0,X1)
% 171.24/171.56 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11593_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25014,plain,
% 171.24/171.56 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(X2,c_0,X1)
% 171.24/171.56 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5370]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25015,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 171.24/171.56 | c_less(X2,c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25014]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5364,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_lessequals(c_0,X2,X1)
% 171.24/171.56 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11594_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25002,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_lessequals(c_0,X2,X1)
% 171.24/171.56 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5364]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_25003,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 171.24/171.56 | c_lessequals(c_0,X2,X0)
% 171.24/171.56 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_25002]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5358,plain,
% 171.24/171.56 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_lessequals(X2,c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11595_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24990,plain,
% 171.24/171.56 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_lessequals(X2,c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5358]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24991,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 171.24/171.56 | c_lessequals(X2,c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24990]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5352,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(X2,c_0,X1)
% 171.24/171.56 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11596_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24978,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(X2,c_0,X1)
% 171.24/171.56 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5352]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24979,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 171.24/171.56 | c_less(X2,c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24978]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5346,plain,
% 171.24/171.56 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(c_0,X2,X1)
% 171.24/171.56 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11597_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24966,plain,
% 171.24/171.56 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(c_0,X2,X1)
% 171.24/171.56 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5346]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24967,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_less(c_0,X2,X0)
% 171.24/171.56 | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24966]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5340,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_lessequals(X2,c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11598_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24954,plain,
% 171.24/171.56 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_lessequals(X2,c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5340]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24955,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 171.24/171.56 | c_lessequals(X2,c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24954]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5334,plain,
% 171.24/171.56 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_lessequals(c_0,X2,X1)
% 171.24/171.56 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11599_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24942,plain,
% 171.24/171.56 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_lessequals(c_0,X2,X1)
% 171.24/171.56 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5334]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24943,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_lessequals(c_0,X2,X0)
% 171.24/171.56 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24942]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5315,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.56 | ~ c_less(X2,c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11604_6) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24904,plain,
% 171.24/171.56 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.56 | ~ c_less(X2,c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5315]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24905,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | ~ c_less(X2,c_0,X0)
% 171.24/171.56 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24904]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5308,plain,
% 171.24/171.56 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.56 | ~ c_lessequals(X0,c_0,X3)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.56 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11605_6) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24890,plain,
% 171.24/171.56 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 171.24/171.56 | ~ c_lessequals(X0,c_0,X3)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X3)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 171.24/171.56 | ~ class_Numeral_Onumber(X3) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5308]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24891,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_lessequals(X1,c_0,X0)
% 171.24/171.56 | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24890]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5301,plain,
% 171.24/171.56 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.56 | ~ c_less(c_0,X3,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11606_6) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24876,plain,
% 171.24/171.56 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.56 | ~ c_less(c_0,X3,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5301]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24877,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | ~ c_less(c_0,X2,X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24876]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5294,plain,
% 171.24/171.56 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.56 | ~ c_lessequals(c_0,X3,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11607_6) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24862,plain,
% 171.24/171.56 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.56 | ~ c_lessequals(c_0,X3,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.56 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5294]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24863,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_lessequals(c_0,X1,X0)
% 171.24/171.56 | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 171.24/171.56 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 171.24/171.56 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24862]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5292,plain,
% 171.24/171.56 ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.24/171.56 | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.24/171.56 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11614_1) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24858,plain,
% 171.24/171.56 ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.24/171.56 | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.24/171.56 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5292]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24859,plain,
% 171.24/171.56 ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.24/171.56 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.24/171.56 | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24858]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5273,plain,
% 171.24/171.56 ( c_less(c_0,X0,X1)
% 171.24/171.56 | c_less(X0,c_0,X1)
% 171.24/171.56 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11623_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24820,plain,
% 171.24/171.56 ( c_less(c_0,X0,X1)
% 171.24/171.56 | c_less(X0,c_0,X1)
% 171.24/171.56 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5273]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24821,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 171.24/171.56 | c_less(c_0,X2,X0)
% 171.24/171.56 | c_less(X2,c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24820]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5267,plain,
% 171.24/171.56 ( c_lessequals(c_0,X0,X1)
% 171.24/171.56 | c_lessequals(X0,c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11624_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24808,plain,
% 171.24/171.56 ( c_lessequals(c_0,X0,X1)
% 171.24/171.56 | c_lessequals(X0,c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5267]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24809,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 171.24/171.56 | c_lessequals(c_0,X2,X0)
% 171.24/171.56 | c_lessequals(X2,c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24808]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5261,plain,
% 171.24/171.56 ( c_less(c_0,X0,X1)
% 171.24/171.56 | c_less(X0,c_0,X1)
% 171.24/171.56 | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11625_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24796,plain,
% 171.24/171.56 ( c_less(c_0,X0,X1)
% 171.24/171.56 | c_less(X0,c_0,X1)
% 171.24/171.56 | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5261]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24797,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_0,X1,X0)
% 171.24/171.56 | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 171.24/171.56 | c_less(X1,c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24796]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5255,plain,
% 171.24/171.56 ( c_lessequals(c_0,X0,X1)
% 171.24/171.56 | c_lessequals(X0,c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11626_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24784,plain,
% 171.24/171.56 ( c_lessequals(c_0,X0,X1)
% 171.24/171.56 | c_lessequals(X0,c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5255]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24785,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_0,X1,X0)
% 171.24/171.56 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 171.24/171.56 | c_lessequals(X1,c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24784]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5253,plain,
% 171.24/171.56 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.56 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.56 | c_lessequals(c_SetInterval_OatLeastLessThan(X3,X1,X0),c_SetInterval_OatLeastLessThan(X4,X2,X0),tc_set(X0))
% 171.24/171.56 | ~ c_lessequals(X4,X3,X0) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11628_1) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24780,plain,
% 171.24/171.56 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.56 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.56 | c_lessequals(c_SetInterval_OatLeastLessThan(X3,X1,X0),c_SetInterval_OatLeastLessThan(X4,X2,X0),tc_set(X0))
% 171.24/171.56 | ~ c_lessequals(X4,X3,X0) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5253]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24781,plain,
% 171.24/171.56 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.56 | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 171.24/171.56 | ~ c_lessequals(X2,X4,X0)
% 171.24/171.56 | ~ c_lessequals(X3,X1,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24780]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5241,plain,
% 171.24/171.56 ( c_less(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 171.24/171.56 | ~ c_less(c_1,X0,X2)
% 171.24/171.56 | ~ c_less(X1,X3,tc_nat)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 171.24/171.56 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11632_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24756,plain,
% 171.24/171.56 ( c_less(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 171.24/171.56 | ~ c_less(c_1,X0,X2)
% 171.24/171.56 | ~ c_less(X1,X3,tc_nat)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 171.24/171.56 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5241]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24757,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.24/171.56 | ~ class_Power_Orecpower(X0)
% 171.24/171.56 | ~ c_less(c_1,X1,X0)
% 171.24/171.56 | c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 171.24/171.56 | ~ c_less(X2,X3,tc_nat) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24756]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5236,plain,
% 171.24/171.56 ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 171.24/171.56 | ~ c_lessequals(X1,X3,tc_nat)
% 171.24/171.56 | ~ c_less(c_1,X0,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 171.24/171.56 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11633_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24746,plain,
% 171.24/171.56 ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 171.24/171.56 | ~ c_lessequals(X1,X3,tc_nat)
% 171.24/171.56 | ~ c_less(c_1,X0,X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 171.24/171.56 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5236]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24747,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.24/171.56 | ~ class_Power_Orecpower(X0)
% 171.24/171.56 | c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 171.24/171.56 | ~ c_lessequals(X2,X3,tc_nat)
% 171.24/171.56 | ~ c_less(c_1,X1,X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24746]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5230,plain,
% 171.24/171.56 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 171.24/171.56 | ~ 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11635_3) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24734,plain,
% 171.24/171.56 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 171.24/171.56 | ~ 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)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5230]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24735,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.56 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.56 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 171.24/171.56 | ~ 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) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24734]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5222,plain,
% 171.24/171.56 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | ~ c_less(X2,c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11637_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24718,plain,
% 171.24/171.56 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | ~ c_less(X2,c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5222]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24719,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 171.24/171.56 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | ~ c_less(X2,c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24718]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5216,plain,
% 171.24/171.56 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_less(c_0,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11638_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24706,plain,
% 171.24/171.56 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_less(c_0,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5216]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24707,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 171.24/171.56 | ~ c_less(c_0,X2,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24706]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5210,plain,
% 171.24/171.56 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | ~ c_lessequals(X2,c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11639_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24694,plain,
% 171.24/171.56 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | ~ c_lessequals(X2,c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5210]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24695,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 171.24/171.56 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.56 | ~ c_lessequals(X2,c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24694]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5204,plain,
% 171.24/171.56 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_lessequals(c_0,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11640_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24682,plain,
% 171.24/171.56 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 171.24/171.56 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_lessequals(c_0,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5204]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24683,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 171.24/171.56 | ~ c_lessequals(c_0,X2,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24682]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5198,plain,
% 171.24/171.56 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | ~ c_less(c_0,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11641_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24670,plain,
% 171.24/171.56 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | ~ c_less(c_0,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5198]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24671,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_less(c_0,X1,X0)
% 171.24/171.56 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 171.24/171.56 | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24670]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5192,plain,
% 171.24/171.56 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_less(X2,c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11642_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24658,plain,
% 171.24/171.56 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_less(X2,c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5192]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24659,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 171.24/171.56 | ~ c_less(X2,c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24658]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5186,plain,
% 171.24/171.56 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_0,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11643_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24646,plain,
% 171.24/171.56 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_0,X2,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5186]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24647,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_lessequals(c_0,X1,X0)
% 171.24/171.56 | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 171.24/171.56 | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24646]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5180,plain,
% 171.24/171.56 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_lessequals(X2,c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11644_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24634,plain,
% 171.24/171.56 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 171.24/171.56 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.56 | ~ c_lessequals(X2,c_0,X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.56 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5180]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24635,plain,
% 171.24/171.56 ( ~ class_Numeral_Onumber(X0)
% 171.24/171.56 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.56 | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 171.24/171.56 | ~ c_lessequals(X2,c_0,X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24634]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5174,plain,
% 171.24/171.56 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.24/171.56 | c_less(c_0,X1,X2)
% 171.24/171.56 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.56 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.56 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11645_5) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24622,plain,
% 171.24/171.56 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.24/171.56 | c_less(c_0,X1,X2)
% 171.24/171.56 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.56 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),X2)
% 171.24/171.56 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.56 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5174]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24623,plain,
% 171.24/171.56 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.56 | ~ class_Power_Orecpower(X0)
% 171.24/171.56 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.56 | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 171.24/171.56 | c_less(c_0,X2,X0)
% 171.24/171.56 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24622]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5169,plain,
% 171.24/171.56 ( X0 = c_emptyset
% 171.24/171.56 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 171.24/171.56 | ~ c_less(X1,c_Main_OMin__gr__iff__1(X0,X1,X2),X2)
% 171.24/171.56 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.56 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.56 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11646_4) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24612,plain,
% 171.24/171.56 ( X0 = c_emptyset
% 171.24/171.56 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 171.24/171.56 | ~ c_less(X1,c_Main_OMin__gr__iff__1(X0,X1,X2),X2)
% 171.24/171.56 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.56 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.56 inference(copy,[status(esa)],[c_5169]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_24613,plain,
% 171.24/171.56 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.56 | c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 171.24/171.56 | ~ c_less(X1,c_Main_OMin__gr__iff__1(X2,X1,X0),X0)
% 171.24/171.56 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.56 | X2 = c_emptyset ),
% 171.24/171.56 inference(rewriting,[status(thm)],[c_24612]) ).
% 171.24/171.56
% 171.24/171.56 cnf(c_5164,plain,
% 171.24/171.56 ( X0 = c_emptyset
% 171.24/171.56 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 171.24/171.57 | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11647_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24602,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 171.24/171.57 | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5164]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24603,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 171.24/171.57 | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X2,X1,X0),X0)
% 171.24/171.57 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.57 | X2 = c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24602]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5159,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 171.24/171.57 | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11648_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24592,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 171.24/171.57 | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5159]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24593,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 171.24/171.57 | ~ c_less(c_Main_OMax__less__iff__1(X1,X2,X0),X2,X0)
% 171.24/171.57 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.57 | X1 = c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24592]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5154,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 171.24/171.57 | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11649_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24582,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 171.24/171.57 | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5154]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24583,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 171.24/171.57 | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X2,X0),X2,X0)
% 171.24/171.57 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.57 | X1 = c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24582]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5149,plain,
% 171.24/171.57 ( c_lessequals(c_0,X0,X1)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11654_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24572,plain,
% 171.24/171.57 ( c_lessequals(c_0,X0,X1)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5149]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24573,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 171.24/171.57 | c_lessequals(c_0,X2,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24572]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5144,plain,
% 171.24/171.57 ( c_lessequals(X0,c_0,X1)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11655_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24562,plain,
% 171.24/171.57 ( c_lessequals(X0,c_0,X1)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5144]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24563,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 171.24/171.57 | c_lessequals(X2,c_0,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24562]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5141,plain,
% 171.24/171.57 ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X1,tc_nat)
% 171.24/171.57 | ~ c_less(X0,X2,tc_nat) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11656_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24556,plain,
% 171.24/171.57 ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X1,tc_nat)
% 171.24/171.57 | ~ c_less(X0,X2,tc_nat) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5141]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24557,plain,
% 171.24/171.57 ( ~ c_less(c_0,X0,tc_nat)
% 171.24/171.57 | c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(X1,X2,tc_nat) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24556]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5138,plain,
% 171.24/171.57 ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X0,tc_nat)
% 171.24/171.57 | ~ c_less(X1,X2,tc_nat) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11657_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24550,plain,
% 171.24/171.57 ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X0,tc_nat)
% 171.24/171.57 | ~ c_less(X1,X2,tc_nat) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5138]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24551,plain,
% 171.24/171.57 ( ~ c_less(c_0,X0,tc_nat)
% 171.24/171.57 | c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(X1,X2,tc_nat) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24550]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5126,plain,
% 171.24/171.57 ( 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)
% 171.24/171.57 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11668_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24526,plain,
% 171.24/171.57 ( 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)
% 171.24/171.57 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5126]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24527,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.57 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 171.24/171.57 | 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) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24526]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5119,plain,
% 171.24/171.57 ( c_less(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_1,c_divide(X1,X0,X2),X2)
% 171.24/171.57 | ~ c_less(c_0,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11671_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24512,plain,
% 171.24/171.57 ( c_less(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_1,c_divide(X1,X0,X2),X2)
% 171.24/171.57 | ~ c_less(c_0,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5119]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24513,plain,
% 171.24/171.57 ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | c_less(X1,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24512]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5114,plain,
% 171.24/171.57 ( c_less(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11672_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24502,plain,
% 171.24/171.57 ( c_less(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5114]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24503,plain,
% 171.24/171.57 ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | c_less(X0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24502]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5109,plain,
% 171.24/171.57 ( c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_lessequals(c_1,c_divide(X1,X0,X2),X2)
% 171.24/171.57 | ~ c_less(c_0,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11673_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24492,plain,
% 171.24/171.57 ( c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_lessequals(c_1,c_divide(X1,X0,X2),X2)
% 171.24/171.57 | ~ c_less(c_0,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5109]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24493,plain,
% 171.24/171.57 ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | c_lessequals(X1,X0,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24492]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5104,plain,
% 171.24/171.57 ( c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11674_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24482,plain,
% 171.24/171.57 ( c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5104]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24483,plain,
% 171.24/171.57 ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24482]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5099,plain,
% 171.24/171.57 ( c_less(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11675_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24472,plain,
% 171.24/171.57 ( c_less(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5099]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24473,plain,
% 171.24/171.57 ( ~ c_less(c_0,X0,X1)
% 171.24/171.57 | ~ c_less(c_divide(X2,X0,X1),c_1,X1)
% 171.24/171.57 | c_less(X2,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24472]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5094,plain,
% 171.24/171.57 ( c_less(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_divide(X1,X0,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(X0,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11676_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24462,plain,
% 171.24/171.57 ( c_less(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_divide(X1,X0,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(X0,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5094]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24463,plain,
% 171.24/171.57 ( ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | c_less(X1,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24462]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5089,plain,
% 171.24/171.57 ( c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11677_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24452,plain,
% 171.24/171.57 ( c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5089]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24453,plain,
% 171.24/171.57 ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24452]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5084,plain,
% 171.24/171.57 ( c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_lessequals(c_divide(X1,X0,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(X0,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11678_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24442,plain,
% 171.24/171.57 ( c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_lessequals(c_divide(X1,X0,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(X0,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5084]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24443,plain,
% 171.24/171.57 ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | c_lessequals(X1,X0,X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24442]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5075,plain,
% 171.24/171.57 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.24/171.57 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 171.24/171.57 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11681_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24424,plain,
% 171.24/171.57 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.24/171.57 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 171.24/171.57 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5075]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24425,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 171.24/171.57 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24424]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5071,plain,
% 171.24/171.57 ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.57 | ~ 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)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11682_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24416,plain,
% 171.24/171.57 ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.57 | ~ 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)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5071]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24417,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.57 | c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.57 | ~ 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) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24416]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5062,plain,
% 171.24/171.57 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.24/171.57 | c_less(c_0,c_0,X1)
% 171.24/171.57 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11685_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24398,plain,
% 171.24/171.57 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.24/171.57 | c_less(c_0,c_0,X1)
% 171.24/171.57 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5062]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24399,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | c_less(c_0,c_0,X0)
% 171.24/171.57 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 171.24/171.57 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24398]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5059,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(X1,c_0,X0)
% 171.24/171.57 | c_less(X1,X2,X0)
% 171.24/171.57 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_less(X2,c_0,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11686_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24392,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(X1,c_0,X0)
% 171.24/171.57 | c_less(X1,X2,X0)
% 171.24/171.57 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_less(X2,c_0,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5059]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24393,plain,
% 171.24/171.57 ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | ~ c_less(X2,c_0,X1)
% 171.24/171.57 | ~ c_less(X0,c_0,X1)
% 171.24/171.57 | c_less(X2,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24392]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5057,plain,
% 171.24/171.57 ( c_less(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ c_less(X0,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11686_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24388,plain,
% 171.24/171.57 ( c_less(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ c_less(X0,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5057]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24389,plain,
% 171.24/171.57 ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | ~ c_less(X0,c_0,X1)
% 171.24/171.57 | ~ c_less(X2,c_0,X1)
% 171.24/171.57 | c_less(X2,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24388]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5054,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(c_0,X1,X0)
% 171.24/171.57 | c_less(X1,X2,X0)
% 171.24/171.57 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_less(c_0,X2,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11687_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24382,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(c_0,X1,X0)
% 171.24/171.57 | c_less(X1,X2,X0)
% 171.24/171.57 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_less(c_0,X2,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5054]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24383,plain,
% 171.24/171.57 ( ~ c_less(c_0,X0,X1)
% 171.24/171.57 | ~ c_less(c_0,X2,X1)
% 171.24/171.57 | ~ c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.57 | c_less(X0,X2,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24382]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5052,plain,
% 171.24/171.57 ( c_less(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ c_less(c_0,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11687_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24378,plain,
% 171.24/171.57 ( c_less(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ c_less(c_0,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5052]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24379,plain,
% 171.24/171.57 ( ~ c_less(c_0,X0,X1)
% 171.24/171.57 | ~ c_less(c_0,X2,X1)
% 171.24/171.57 | ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | c_less(X2,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24378]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5049,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(X1,c_0,X0)
% 171.24/171.57 | c_lessequals(X1,X2,X0)
% 171.24/171.57 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_less(X2,c_0,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11688_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24372,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(X1,c_0,X0)
% 171.24/171.57 | c_lessequals(X1,X2,X0)
% 171.24/171.57 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_less(X2,c_0,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5049]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24373,plain,
% 171.24/171.57 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | c_lessequals(X2,X0,X1)
% 171.24/171.57 | ~ c_less(X2,c_0,X1)
% 171.24/171.57 | ~ c_less(X0,c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24372]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5047,plain,
% 171.24/171.57 ( c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ c_less(X0,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11688_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24368,plain,
% 171.24/171.57 ( c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ c_less(X0,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5047]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24369,plain,
% 171.24/171.57 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | c_lessequals(X2,X0,X1)
% 171.24/171.57 | ~ c_less(X0,c_0,X1)
% 171.24/171.57 | ~ c_less(X2,c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24368]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5044,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(c_0,X1,X0)
% 171.24/171.57 | c_lessequals(X1,X2,X0)
% 171.24/171.57 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_less(c_0,X2,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11689_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24362,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(c_0,X1,X0)
% 171.24/171.57 | c_lessequals(X1,X2,X0)
% 171.24/171.57 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_less(c_0,X2,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5044]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24363,plain,
% 171.24/171.57 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | c_lessequals(X2,X0,X1)
% 171.24/171.57 | ~ c_less(c_0,X2,X1)
% 171.24/171.57 | ~ c_less(c_0,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24362]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5042,plain,
% 171.24/171.57 ( c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ c_less(c_0,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11689_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24358,plain,
% 171.24/171.57 ( c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ c_less(c_0,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5042]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24359,plain,
% 171.24/171.57 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | c_lessequals(X2,X0,X1)
% 171.24/171.57 | ~ c_less(c_0,X0,X1)
% 171.24/171.57 | ~ c_less(c_0,X2,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24358]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5031,plain,
% 171.24/171.57 ( X0 = c_0
% 171.24/171.57 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 171.24/171.57 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11693_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24336,plain,
% 171.24/171.57 ( X0 = c_0
% 171.24/171.57 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 171.24/171.57 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5031]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24337,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 171.24/171.57 | X2 = c_0 ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24336]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5023,plain,
% 171.24/171.57 ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 171.24/171.57 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11697_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24320,plain,
% 171.24/171.57 ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 171.24/171.57 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5023]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24321,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24320]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5016,plain,
% 171.24/171.57 ( X0 = c_0
% 171.24/171.57 | c_lessequals(X0,c_0,X1)
% 171.24/171.57 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11699_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24306,plain,
% 171.24/171.57 ( X0 = c_0
% 171.24/171.57 | c_lessequals(X0,c_0,X1)
% 171.24/171.57 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5016]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24307,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 171.24/171.57 | c_lessequals(X1,c_0,X0)
% 171.24/171.57 | X1 = c_0 ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24306]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_5010,plain,
% 171.24/171.57 ( c_less(X0,c_0,X1)
% 171.24/171.57 | ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11702_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24294,plain,
% 171.24/171.57 ( c_less(X0,c_0,X1)
% 171.24/171.57 | ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_5010]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24295,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 171.24/171.57 | c_less(X1,c_0,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24294]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4987,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_less(X1,X2,X3)
% 171.24/171.57 | ~ c_less(X1,c_Finite__Set_OMin(X0,X3),X3)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 171.24/171.57 | ~ c_in(X2,X0,X3)
% 171.24/171.57 | ~ class_Orderings_Olinorder(X3) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11711_5) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24248,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_less(X1,X2,X3)
% 171.24/171.57 | ~ c_less(X1,c_Finite__Set_OMin(X0,X3),X3)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 171.24/171.57 | ~ c_in(X2,X0,X3)
% 171.24/171.57 | ~ class_Orderings_Olinorder(X3) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4987]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24249,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 171.24/171.57 | c_less(X1,X3,X0)
% 171.24/171.57 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.57 | ~ c_in(X3,X2,X0)
% 171.24/171.57 | X2 = c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24248]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4981,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_lessequals(X1,X2,X3)
% 171.24/171.57 | ~ c_lessequals(X1,c_Finite__Set_OMin(X0,X3),X3)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 171.24/171.57 | ~ c_in(X2,X0,X3)
% 171.24/171.57 | ~ class_Orderings_Olinorder(X3) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11712_5) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24236,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_lessequals(X1,X2,X3)
% 171.24/171.57 | ~ c_lessequals(X1,c_Finite__Set_OMin(X0,X3),X3)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 171.24/171.57 | ~ c_in(X2,X0,X3)
% 171.24/171.57 | ~ class_Orderings_Olinorder(X3) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4981]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24237,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 171.24/171.57 | c_lessequals(X1,X3,X0)
% 171.24/171.57 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.57 | ~ c_in(X3,X2,X0)
% 171.24/171.57 | X2 = c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24236]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4975,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_less(X1,X2,X3)
% 171.24/171.57 | ~ c_less(c_Finite__Set_OMax(X0,X3),X2,X3)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 171.24/171.57 | ~ c_in(X1,X0,X3)
% 171.24/171.57 | ~ class_Orderings_Olinorder(X3) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11713_5) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24224,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_less(X1,X2,X3)
% 171.24/171.57 | ~ c_less(c_Finite__Set_OMax(X0,X3),X2,X3)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 171.24/171.57 | ~ c_in(X1,X0,X3)
% 171.24/171.57 | ~ class_Orderings_Olinorder(X3) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4975]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24225,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 171.24/171.57 | c_less(X3,X2,X0)
% 171.24/171.57 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.57 | ~ c_in(X3,X1,X0)
% 171.24/171.57 | X1 = c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24224]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4969,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_lessequals(X1,X2,X3)
% 171.24/171.57 | ~ c_lessequals(c_Finite__Set_OMax(X0,X3),X2,X3)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 171.24/171.57 | ~ c_in(X1,X0,X3)
% 171.24/171.57 | ~ class_Orderings_Olinorder(X3) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11714_5) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24212,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_lessequals(X1,X2,X3)
% 171.24/171.57 | ~ c_lessequals(c_Finite__Set_OMax(X0,X3),X2,X3)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 171.24/171.57 | ~ c_in(X1,X0,X3)
% 171.24/171.57 | ~ class_Orderings_Olinorder(X3) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4969]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24213,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 171.24/171.57 | c_lessequals(X3,X2,X0)
% 171.24/171.57 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.57 | ~ c_in(X3,X1,X0)
% 171.24/171.57 | X1 = c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24212]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4966,plain,
% 171.24/171.57 ( 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)
% 171.24/171.57 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11715_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24206,plain,
% 171.24/171.57 ( 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)
% 171.24/171.57 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4966]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24207,plain,
% 171.24/171.57 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | 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) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24206]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4962,plain,
% 171.24/171.57 ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.57 | 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)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11716_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24198,plain,
% 171.24/171.57 ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.57 | 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)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4962]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24199,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.57 | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.57 | 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) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24198]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4957,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(X1,X2,X0)
% 171.24/171.57 | ~ c_less(X1,c_0,X0)
% 171.24/171.57 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_less(X2,c_0,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11718_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24188,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(X1,X2,X0)
% 171.24/171.57 | ~ c_less(X1,c_0,X0)
% 171.24/171.57 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_less(X2,c_0,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4957]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24189,plain,
% 171.24/171.57 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | ~ c_less(X2,c_0,X1)
% 171.24/171.57 | ~ c_less(X0,c_0,X1)
% 171.24/171.57 | ~ c_less(X2,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24188]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4952,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(X1,X2,X0)
% 171.24/171.57 | ~ c_less(c_0,X1,X0)
% 171.24/171.57 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_less(c_0,X2,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11719_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24178,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(X1,X2,X0)
% 171.24/171.57 | ~ c_less(c_0,X1,X0)
% 171.24/171.57 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_less(c_0,X2,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4952]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24179,plain,
% 171.24/171.57 ( ~ c_less(c_0,X0,X1)
% 171.24/171.57 | ~ c_less(c_0,X2,X1)
% 171.24/171.57 | c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.57 | ~ c_less(X0,X2,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24178]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4949,plain,
% 171.24/171.57 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | ~ c_less(c_0,X0,X1)
% 171.24/171.57 | ~ c_less(c_0,X2,X1)
% 171.24/171.57 | ~ c_less(X2,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11719_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24172,plain,
% 171.24/171.57 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | ~ c_less(c_0,X0,X1)
% 171.24/171.57 | ~ c_less(c_0,X2,X1)
% 171.24/171.57 | ~ c_less(X2,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4949]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24173,plain,
% 171.24/171.57 ( ~ c_less(c_0,X0,X1)
% 171.24/171.57 | ~ c_less(c_0,X2,X1)
% 171.24/171.57 | c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | ~ c_less(X2,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24172]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4946,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(X1,c_0,X0)
% 171.24/171.57 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.57 | ~ c_less(X2,c_0,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11720_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24166,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(X1,c_0,X0)
% 171.24/171.57 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.57 | ~ c_less(X2,c_0,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4946]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24167,plain,
% 171.24/171.57 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | ~ c_lessequals(X2,X0,X1)
% 171.24/171.57 | ~ c_less(X2,c_0,X1)
% 171.24/171.57 | ~ c_less(X0,c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24166]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4941,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(c_0,X1,X0)
% 171.24/171.57 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.57 | ~ c_less(c_0,X2,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11721_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24156,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 171.24/171.57 | ~ c_less(c_0,X1,X0)
% 171.24/171.57 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 171.24/171.57 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.57 | ~ c_less(c_0,X2,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4941]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24157,plain,
% 171.24/171.57 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.24/171.57 | ~ c_lessequals(X2,X0,X1)
% 171.24/171.57 | ~ c_less(c_0,X2,X1)
% 171.24/171.57 | ~ c_less(c_0,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24156]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4931,plain,
% 171.24/171.57 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.57 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11724_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24136,plain,
% 171.24/171.57 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.57 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4931]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24137,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.57 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 171.24/171.57 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24136]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4914,plain,
% 171.24/171.57 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 171.24/171.57 | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
% 171.24/171.57 | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11730_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24102,plain,
% 171.24/171.57 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 171.24/171.57 | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
% 171.24/171.57 | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4914]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24103,plain,
% 171.24/171.57 ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 171.24/171.57 | ~ c_lessequals(X1,X3,tc_set(X2))
% 171.24/171.57 | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24102]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4911,plain,
% 171.24/171.57 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 171.24/171.57 | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2))
% 171.24/171.57 | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11731_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24096,plain,
% 171.24/171.57 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 171.24/171.57 | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2))
% 171.24/171.57 | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4911]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24097,plain,
% 171.24/171.57 ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 171.24/171.57 | ~ c_lessequals(X0,X2,tc_set(X3))
% 171.24/171.57 | ~ c_lessequals(X0,X1,tc_set(X3)) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24096]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4902,plain,
% 171.24/171.57 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 171.24/171.57 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11734_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24078,plain,
% 171.24/171.57 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 171.24/171.57 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4902]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24079,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 171.24/171.57 | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24078]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4900,plain,
% 171.24/171.57 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.57 | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.57 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11737_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24074,plain,
% 171.24/171.57 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.57 | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.57 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4900]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24075,plain,
% 171.24/171.57 ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.57 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24074]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4893,plain,
% 171.24/171.57 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.24/171.57 | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11738_5) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24060,plain,
% 171.24/171.57 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.24/171.57 | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4893]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24061,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 171.24/171.57 | ~ c_lessequals(X2,c_0,X0)
% 171.24/171.57 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24060]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4876,plain,
% 171.24/171.57 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ c_less(X1,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11743_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24026,plain,
% 171.24/171.57 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ c_less(X1,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4876]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24027,plain,
% 171.24/171.57 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ c_less(X1,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24026]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4871,plain,
% 171.24/171.57 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ c_less(X0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11744_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24016,plain,
% 171.24/171.57 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ c_less(X0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4871]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24017,plain,
% 171.24/171.57 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ c_less(X0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24016]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4866,plain,
% 171.24/171.57 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_lessequals(X1,X0,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11745_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24006,plain,
% 171.24/171.57 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_lessequals(X1,X0,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4866]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_24007,plain,
% 171.24/171.57 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_lessequals(X1,X0,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_24006]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4861,plain,
% 171.24/171.57 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11746_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23996,plain,
% 171.24/171.57 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4861]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23997,plain,
% 171.24/171.57 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23996]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4856,plain,
% 171.24/171.57 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ c_less(X0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11747_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23986,plain,
% 171.24/171.57 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ c_less(X0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4856]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23987,plain,
% 171.24/171.57 ( ~ c_less(c_0,X0,X1)
% 171.24/171.57 | c_less(c_divide(X2,X0,X1),c_1,X1)
% 171.24/171.57 | ~ c_less(X2,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23986]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4851,plain,
% 171.24/171.57 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ c_less(X1,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11748_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23976,plain,
% 171.24/171.57 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ c_less(X1,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4851]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23977,plain,
% 171.24/171.57 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ c_less(X1,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23976]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4846,plain,
% 171.24/171.57 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11749_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23966,plain,
% 171.24/171.57 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4846]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23967,plain,
% 171.24/171.57 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_lessequals(X0,X1,X2)
% 171.24/171.57 | ~ c_less(c_0,X1,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23966]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4841,plain,
% 171.24/171.57 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_lessequals(X1,X0,X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11750_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23956,plain,
% 171.24/171.57 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_lessequals(X1,X0,X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4841]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23957,plain,
% 171.24/171.57 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 171.24/171.57 | ~ c_lessequals(X1,X0,X2)
% 171.24/171.57 | ~ c_less(X1,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23956]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4828,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 171.24/171.57 | c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11755_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23930,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 171.24/171.57 | c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4828]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23931,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 171.24/171.57 | c_in(c_Main_OMin__gr__iff__1(X2,X1,X0),X2,X0)
% 171.24/171.57 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.57 | X2 = c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23930]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4823,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 171.24/171.57 | c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11756_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23920,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 171.24/171.57 | c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4823]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23921,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 171.24/171.57 | c_in(c_Main_OMin__ge__iff__1(X2,X1,X0),X2,X0)
% 171.24/171.57 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.57 | X2 = c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23920]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4818,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 171.24/171.57 | c_in(c_Main_OMax__less__iff__1(X0,X2,X1),X0,X1)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11757_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23910,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 171.24/171.57 | c_in(c_Main_OMax__less__iff__1(X0,X2,X1),X0,X1)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4818]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23911,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 171.24/171.57 | c_in(c_Main_OMax__less__iff__1(X1,X2,X0),X1,X0)
% 171.24/171.57 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.57 | X1 = c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23910]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4813,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 171.24/171.57 | c_in(c_Main_OMax__le__iff__1(X0,X2,X1),X0,X1)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11758_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23900,plain,
% 171.24/171.57 ( X0 = c_emptyset
% 171.24/171.57 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 171.24/171.57 | c_in(c_Main_OMax__le__iff__1(X0,X2,X1),X0,X1)
% 171.24/171.57 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.57 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4813]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23901,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 171.24/171.57 | c_in(c_Main_OMax__le__iff__1(X1,X2,X0),X1,X0)
% 171.24/171.57 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.57 | X1 = c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23900]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4809,plain,
% 171.24/171.57 ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 171.24/171.57 | ~ c_less(X1,X0,X3)
% 171.24/171.57 | ~ c_less(X0,X2,X3)
% 171.24/171.57 | ~ class_Orderings_Oord(X3) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11759_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23892,plain,
% 171.24/171.57 ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 171.24/171.57 | ~ c_less(X1,X0,X3)
% 171.24/171.57 | ~ c_less(X0,X2,X3)
% 171.24/171.57 | ~ class_Orderings_Oord(X3) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4809]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23893,plain,
% 171.24/171.57 ( ~ class_Orderings_Oord(X0)
% 171.24/171.57 | ~ c_less(X1,X2,X0)
% 171.24/171.57 | ~ c_less(X2,X3,X0)
% 171.24/171.57 | c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X3,X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23892]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4805,plain,
% 171.24/171.57 ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 171.24/171.57 | ~ c_lessequals(X0,X2,X3)
% 171.24/171.57 | ~ c_less(X1,X0,X3)
% 171.24/171.57 | ~ class_Orderings_Oord(X3) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11760_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23884,plain,
% 171.24/171.57 ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 171.24/171.57 | ~ c_lessequals(X0,X2,X3)
% 171.24/171.57 | ~ c_less(X1,X0,X3)
% 171.24/171.57 | ~ class_Orderings_Oord(X3) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4805]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23885,plain,
% 171.24/171.57 ( ~ class_Orderings_Oord(X0)
% 171.24/171.57 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.57 | ~ c_less(X3,X1,X0)
% 171.24/171.57 | c_in(X1,c_SetInterval_OgreaterThanAtMost(X3,X2,X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23884]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4801,plain,
% 171.24/171.57 ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 171.24/171.57 | ~ c_lessequals(X1,X0,X3)
% 171.24/171.57 | ~ c_less(X0,X2,X3)
% 171.24/171.57 | ~ class_Orderings_Oord(X3) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11761_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23876,plain,
% 171.24/171.57 ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 171.24/171.57 | ~ c_lessequals(X1,X0,X3)
% 171.24/171.57 | ~ c_less(X0,X2,X3)
% 171.24/171.57 | ~ class_Orderings_Oord(X3) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4801]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23877,plain,
% 171.24/171.57 ( ~ class_Orderings_Oord(X0)
% 171.24/171.57 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.57 | ~ c_less(X2,X3,X0)
% 171.24/171.57 | c_in(X2,c_SetInterval_OatLeastLessThan(X1,X3,X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23876]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4797,plain,
% 171.24/171.57 ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 171.24/171.57 | ~ c_lessequals(X1,X0,X3)
% 171.24/171.57 | ~ c_lessequals(X0,X2,X3)
% 171.24/171.57 | ~ class_Orderings_Oord(X3) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11762_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23868,plain,
% 171.24/171.57 ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 171.24/171.57 | ~ c_lessequals(X1,X0,X3)
% 171.24/171.57 | ~ c_lessequals(X0,X2,X3)
% 171.24/171.57 | ~ class_Orderings_Oord(X3) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4797]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23869,plain,
% 171.24/171.57 ( ~ class_Orderings_Oord(X0)
% 171.24/171.57 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.57 | ~ c_lessequals(X2,X3,X0)
% 171.24/171.57 | c_in(X2,c_SetInterval_OatLeastAtMost(X1,X3,X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23868]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4795,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.57 | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 171.24/171.57 | ~ c_lessequals(X3,X2,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11763_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23864,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.57 | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 171.24/171.57 | ~ c_lessequals(X3,X2,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4795]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23865,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 171.24/171.57 | ~ c_lessequals(X2,X3,X0)
% 171.24/171.57 | ~ c_lessequals(X1,X3,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23864]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4791,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.57 | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 171.24/171.57 | ~ c_lessequals(X1,X3,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11764_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23856,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ c_lessequals(X1,X2,X0)
% 171.24/171.57 | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 171.24/171.57 | ~ c_lessequals(X1,X3,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4791]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23857,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 171.24/171.57 | ~ c_lessequals(X1,X3,X0)
% 171.24/171.57 | ~ c_lessequals(X1,X2,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23856]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4787,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ c_less(X1,X2,X0)
% 171.24/171.57 | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 171.24/171.57 | ~ c_less(X1,X3,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11765_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23848,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ c_less(X1,X2,X0)
% 171.24/171.57 | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 171.24/171.57 | ~ c_less(X1,X3,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4787]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23849,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 171.24/171.57 | ~ c_less(X1,X3,X0)
% 171.24/171.57 | ~ c_less(X1,X2,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23848]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4783,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ c_less(X1,X2,X0)
% 171.24/171.57 | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 171.24/171.57 | ~ c_less(X3,X2,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11766_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23840,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ c_less(X1,X2,X0)
% 171.24/171.57 | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 171.24/171.57 | ~ c_less(X3,X2,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4783]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23841,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 171.24/171.57 | ~ c_less(X2,X3,X0)
% 171.24/171.57 | ~ c_less(X1,X3,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23840]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4766,plain,
% 171.24/171.57 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11772_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23806,plain,
% 171.24/171.57 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4766]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23807,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 171.24/171.57 | ~ c_less(c_0,X2,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23806]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4761,plain,
% 171.24/171.57 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_0,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11773_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23796,plain,
% 171.24/171.57 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_0,X0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4761]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23797,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 171.24/171.57 | ~ c_lessequals(c_0,X2,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23796]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4756,plain,
% 171.24/171.57 ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(X0,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11774_4) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23786,plain,
% 171.24/171.57 ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(X0,c_0,X2)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.57 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4756]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23787,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.57 | c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 171.24/171.57 | ~ c_less(X2,c_0,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23786]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4752,plain,
% 171.24/171.57 ( X0 = c_0
% 171.24/171.57 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X0,X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11775_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23778,plain,
% 171.24/171.57 ( X0 = c_0
% 171.24/171.57 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X0,X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4752]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23779,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Power_Orecpower(X0)
% 171.24/171.57 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X0),X1,X0),X0)
% 171.24/171.57 | X1 = c_0 ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23778]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4734,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_ONats,X0)
% 171.24/171.57 | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11781_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23742,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_ONats,X0)
% 171.24/171.57 | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4734]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23743,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.24/171.57 | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_ONats,X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_ONats,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23742]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4730,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_ONats,X0)
% 171.24/171.57 | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11782_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23734,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_ONats,X0)
% 171.24/171.57 | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4730]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23735,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.24/171.57 | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_ONats,X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_ONats,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23734]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4726,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_OInts,X0)
% 171.24/171.57 | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11783_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23726,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_OInts,X0)
% 171.24/171.57 | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4726]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23727,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.57 | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_OInts,X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23726]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4722,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_OInts,X0)
% 171.24/171.57 | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11784_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23718,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_OInts,X0)
% 171.24/171.57 | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4722]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23719,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.57 | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_OInts,X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23718]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4718,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_OInts,X0)
% 171.24/171.57 | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11785_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23710,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_OInts,X0)
% 171.24/171.57 | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4718]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23711,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.57 | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 171.24/171.57 | ~ c_in(X2,c_IntDef_OInts,X0)
% 171.24/171.57 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23710]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4712,plain,
% 171.24/171.57 ( 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)
% 171.24/171.57 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11786_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23698,plain,
% 171.24/171.57 ( 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)
% 171.24/171.57 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4712]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23699,plain,
% 171.24/171.57 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.57 | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.57 | 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) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23698]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4705,plain,
% 171.24/171.57 ( ~ c_List_Odistinct(X0,X1)
% 171.24/171.57 | c_List_Odistinct(c_append(X2,X0,X1),X1)
% 171.24/171.57 | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 171.24/171.57 | ~ c_List_Odistinct(X2,X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11789_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23684,plain,
% 171.24/171.57 ( ~ c_List_Odistinct(X0,X1)
% 171.24/171.57 | c_List_Odistinct(c_append(X2,X0,X1),X1)
% 171.24/171.57 | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 171.24/171.57 | ~ c_List_Odistinct(X2,X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4705]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23685,plain,
% 171.24/171.57 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_List_Odistinct(X1,X2)
% 171.24/171.57 | ~ c_List_Odistinct(X0,X2)
% 171.24/171.57 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23684]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4704,plain,
% 171.24/171.57 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 171.24/171.57 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 171.24/171.57 | ~ c_List_Odistinct(X0,X2)
% 171.24/171.57 | ~ c_List_Odistinct(X1,X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11789_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23682,plain,
% 171.24/171.57 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 171.24/171.57 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 171.24/171.57 | ~ c_List_Odistinct(X0,X2)
% 171.24/171.57 | ~ c_List_Odistinct(X1,X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4704]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23683,plain,
% 171.24/171.57 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 171.24/171.57 | ~ c_List_Odistinct(X0,X2)
% 171.24/171.57 | ~ c_List_Odistinct(X1,X2)
% 171.24/171.57 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23682]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4702,plain,
% 171.24/171.57 ( ~ c_in(X0,X1,X2) | c_in(X0,c_inter(X3,X1,X2),X2) | ~ c_in(X0,X3,X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11790_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23678,plain,
% 171.24/171.57 ( ~ c_in(X0,X1,X2) | c_in(X0,c_inter(X3,X1,X2),X2) | ~ c_in(X0,X3,X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4702]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23679,plain,
% 171.24/171.57 ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) | ~ c_in(X0,X1,X3) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23678]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4678,plain,
% 171.24/171.57 ( c_less(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.57 | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11801_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23630,plain,
% 171.24/171.57 ( c_less(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.57 | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4678]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23631,plain,
% 171.24/171.57 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber(X0)
% 171.24/171.57 | ~ c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 171.24/171.57 | c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23630]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4674,plain,
% 171.24/171.57 ( c_lessequals(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.57 | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11802_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23622,plain,
% 171.24/171.57 ( c_lessequals(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.57 | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4674]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23623,plain,
% 171.24/171.57 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber(X0)
% 171.24/171.57 | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 171.24/171.57 | c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23622]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4670,plain,
% 171.24/171.57 ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 171.24/171.57 | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11803_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23614,plain,
% 171.24/171.57 ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 171.24/171.57 | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4670]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23615,plain,
% 171.24/171.57 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber(X0)
% 171.24/171.57 | c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 171.24/171.57 | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23614]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4666,plain,
% 171.24/171.57 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 171.24/171.57 | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11804_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23606,plain,
% 171.24/171.57 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 171.24/171.57 | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4666]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23607,plain,
% 171.24/171.57 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber(X0)
% 171.24/171.57 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 171.24/171.57 | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23606]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4655,plain,
% 171.24/171.57 ( X0 = X1
% 171.24/171.57 | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 171.24/171.57 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 171.24/171.57 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11812_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23584,plain,
% 171.24/171.57 ( X0 = X1
% 171.24/171.57 | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 171.24/171.57 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 171.24/171.57 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4655]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23585,plain,
% 171.24/171.57 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 171.24/171.57 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 171.24/171.57 | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 171.24/171.57 | X0 = X1 ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23584]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4641,plain,
% 171.24/171.57 ( ~ c_lessequals(c_1,X0,tc_nat)
% 171.24/171.57 | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11819_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23556,plain,
% 171.24/171.57 ( ~ c_lessequals(c_1,X0,tc_nat)
% 171.24/171.57 | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4641]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23557,plain,
% 171.24/171.57 ( c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_1,X1,tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23556]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4640,plain,
% 171.24/171.57 ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_1,X0,tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11819_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23554,plain,
% 171.24/171.57 ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_1,X0,tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4640]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23555,plain,
% 171.24/171.57 ( c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_1,X0,tc_nat)
% 171.24/171.57 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23554]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4629,plain,
% 171.24/171.57 ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X1,tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X0,tc_nat) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11829_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23532,plain,
% 171.24/171.57 ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X1,tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X0,tc_nat) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4629]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23533,plain,
% 171.24/171.57 ( ~ c_less(c_0,X0,tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X1,tc_nat)
% 171.24/171.57 | c_less(c_minus(X1,X0,tc_nat),X1,tc_nat) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23532]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4626,plain,
% 171.24/171.57 ( c_less(c_div(X0,X1,tc_nat),X0,tc_nat)
% 171.24/171.57 | ~ c_less(c_1,X1,tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X0,tc_nat) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11830_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23526,plain,
% 171.24/171.57 ( c_less(c_div(X0,X1,tc_nat),X0,tc_nat)
% 171.24/171.57 | ~ c_less(c_1,X1,tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X0,tc_nat) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4626]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23527,plain,
% 171.24/171.57 ( ~ c_less(c_1,X0,tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X1,tc_nat)
% 171.24/171.57 | c_less(c_div(X1,X0,tc_nat),X1,tc_nat) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23526]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4622,plain,
% 171.24/171.57 ( c_less(X0,c_0,X1)
% 171.24/171.57 | ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 171.24/171.57 | ~ class_Orderings_Olinorder(X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11835_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23518,plain,
% 171.24/171.57 ( c_less(X0,c_0,X1)
% 171.24/171.57 | ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 171.24/171.57 | ~ class_Orderings_Olinorder(X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4622]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23519,plain,
% 171.24/171.57 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.24/171.57 | ~ c_less(c_plus(X1,X1,X0),c_0,X0)
% 171.24/171.57 | c_less(X1,c_0,X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23518]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4618,plain,
% 171.24/171.57 ( ~ c_less(c_0,X0,tc_nat)
% 171.24/171.57 | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X1,tc_nat) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11837_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23510,plain,
% 171.24/171.57 ( ~ c_less(c_0,X0,tc_nat)
% 171.24/171.57 | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X1,tc_nat) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4618]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23511,plain,
% 171.24/171.57 ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X1,tc_nat)
% 171.24/171.57 | ~ c_less(c_0,X0,tc_nat) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23510]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4561,plain,
% 171.24/171.57 ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.24/171.57 | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X2)),c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.24/171.57 | ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11856_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23396,plain,
% 171.24/171.57 ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.24/171.57 | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X2)),c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.24/171.57 | ~ c_in(c_Message_Omsg_OCrypt(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4561]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23397,plain,
% 171.24/171.57 ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.24/171.57 | ~ c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.24/171.57 | c_in(X2,c_Message_Oanalz(X1),tc_Message_Omsg) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23396]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4556,plain,
% 171.24/171.57 ( ~ c_in(X0,X1,X2)
% 171.24/171.57 | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
% 171.24/171.57 | c_in(X0,X3,X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11858_1) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23386,plain,
% 171.24/171.57 ( ~ c_in(X0,X1,X2)
% 171.24/171.57 | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
% 171.24/171.57 | c_in(X0,X3,X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4556]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23387,plain,
% 171.24/171.57 ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 171.24/171.57 | ~ c_in(X0,X1,X3)
% 171.24/171.57 | c_in(X0,X2,X3) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23386]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4549,plain,
% 171.24/171.57 ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 171.24/171.57 | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11860_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23372,plain,
% 171.24/171.57 ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 171.24/171.57 | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4549]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23373,plain,
% 171.24/171.57 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber(X0)
% 171.24/171.57 | c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 171.24/171.57 | ~ c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23372]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4545,plain,
% 171.24/171.57 ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 171.24/171.57 | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11861_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23364,plain,
% 171.24/171.57 ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 171.24/171.57 | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.24/171.57 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4545]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23365,plain,
% 171.24/171.57 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber(X0)
% 171.24/171.57 | c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 171.24/171.57 | ~ c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23364]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4541,plain,
% 171.24/171.57 ( c_less(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.57 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 171.24/171.57 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11862_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23356,plain,
% 171.24/171.57 ( c_less(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.57 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 171.24/171.57 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4541]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23357,plain,
% 171.24/171.57 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber(X0)
% 171.24/171.57 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 171.24/171.57 | c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23356]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4537,plain,
% 171.24/171.57 ( c_lessequals(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.57 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 171.24/171.57 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11863_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23348,plain,
% 171.24/171.57 ( c_lessequals(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 171.24/171.57 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 171.24/171.57 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 171.24/171.57 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4537]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23349,plain,
% 171.24/171.57 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.24/171.57 | ~ class_Numeral_Onumber(X0)
% 171.24/171.57 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 171.24/171.57 | c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23348]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4533,plain,
% 171.24/171.57 ( c_less(c_0,X0,X1)
% 171.24/171.57 | ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11864_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23340,plain,
% 171.24/171.57 ( c_less(c_0,X0,X1)
% 171.24/171.57 | ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4533]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23341,plain,
% 171.24/171.57 ( ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 171.24/171.57 | c_less(c_0,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23340]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4529,plain,
% 171.24/171.57 ( c_lessequals(c_0,X0,X1)
% 171.24/171.57 | ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11865_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23332,plain,
% 171.24/171.57 ( c_lessequals(c_0,X0,X1)
% 171.24/171.57 | ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4529]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23333,plain,
% 171.24/171.57 ( ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 171.24/171.57 | c_lessequals(c_0,X0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23332]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4525,plain,
% 171.24/171.57 ( c_less(X0,c_0,X1)
% 171.24/171.57 | ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11866_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23324,plain,
% 171.24/171.57 ( c_less(X0,c_0,X1)
% 171.24/171.57 | ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4525]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23325,plain,
% 171.24/171.57 ( ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 171.24/171.57 | c_less(X0,c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23324]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4521,plain,
% 171.24/171.57 ( c_lessequals(X0,c_0,X1)
% 171.24/171.57 | ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11867_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23316,plain,
% 171.24/171.57 ( c_lessequals(X0,c_0,X1)
% 171.24/171.57 | ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4521]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23317,plain,
% 171.24/171.57 ( ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 171.24/171.57 | c_lessequals(X0,c_0,X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.57 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23316]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4516,plain,
% 171.24/171.57 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11869_2) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23306,plain,
% 171.24/171.57 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4516]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23307,plain,
% 171.24/171.57 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23306]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4515,plain,
% 171.24/171.57 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11869_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23304,plain,
% 171.24/171.57 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.57 inference(copy,[status(esa)],[c_4515]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23305,plain,
% 171.24/171.57 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 171.24/171.57 inference(rewriting,[status(thm)],[c_23304]) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_4511,plain,
% 171.24/171.57 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.57 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.57 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11870_3) ).
% 171.24/171.57
% 171.24/171.57 cnf(c_23296,plain,
% 171.24/171.57 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.57 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.57 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4511]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23297,plain,
% 171.24/171.58 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23296]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4497,plain,
% 171.24/171.58 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11876_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23268,plain,
% 171.24/171.58 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4497]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23269,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23268]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4478,plain,
% 171.24/171.58 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11883_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23230,plain,
% 171.24/171.58 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4478]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23231,plain,
% 171.24/171.58 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23230]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4457,plain,
% 171.24/171.58 ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11894_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23188,plain,
% 171.24/171.58 ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4457]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23189,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23188]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4452,plain,
% 171.24/171.58 ( c_lessequals(c_1,X0,tc_nat)
% 171.24/171.58 | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11896_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23178,plain,
% 171.24/171.58 ( c_lessequals(c_1,X0,tc_nat)
% 171.24/171.58 | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4452]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23179,plain,
% 171.24/171.58 ( ~ c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | c_lessequals(c_1,X1,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23178]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4450,plain,
% 171.24/171.58 ( c_lessequals(c_1,X0,tc_nat)
% 171.24/171.58 | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11897_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23174,plain,
% 171.24/171.58 ( c_lessequals(c_1,X0,tc_nat)
% 171.24/171.58 | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4450]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23175,plain,
% 171.24/171.58 ( ~ c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | c_lessequals(c_1,X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23174]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4438,plain,
% 171.24/171.58 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11900_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23150,plain,
% 171.24/171.58 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4438]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23151,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23150]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4432,plain,
% 171.24/171.58 ( c_inter(c_insert(X0,X1,X2),X3,X2) = c_emptyset
% 171.24/171.58 | c_in(X0,X3,X2)
% 171.24/171.58 | c_inter(X1,X3,X2) != c_emptyset ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11902_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23138,plain,
% 171.24/171.58 ( c_inter(c_insert(X0,X1,X2),X3,X2) = c_emptyset
% 171.24/171.58 | c_in(X0,X3,X2)
% 171.24/171.58 | c_inter(X1,X3,X2) != c_emptyset ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4432]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23139,plain,
% 171.24/171.58 ( c_in(X0,X1,X2)
% 171.24/171.58 | c_inter(c_insert(X0,X3,X2),X1,X2) = c_emptyset
% 171.24/171.58 | c_inter(X3,X1,X2) != c_emptyset ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23138]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4426,plain,
% 171.24/171.58 ( c_inter(X0,c_insert(X1,X2,X3),X3) = c_emptyset
% 171.24/171.58 | c_in(X1,X0,X3)
% 171.24/171.58 | c_inter(X0,X2,X3) != c_emptyset ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11904_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23126,plain,
% 171.24/171.58 ( c_inter(X0,c_insert(X1,X2,X3),X3) = c_emptyset
% 171.24/171.58 | c_in(X1,X0,X3)
% 171.24/171.58 | c_inter(X0,X2,X3) != c_emptyset ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4426]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23127,plain,
% 171.24/171.58 ( c_in(X0,X1,X2)
% 171.24/171.58 | c_inter(X1,c_insert(X0,X3,X2),X2) = c_emptyset
% 171.24/171.58 | c_inter(X1,X3,X2) != c_emptyset ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23126]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4417,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 171.24/171.58 | ~ c_less(c_Numeral_Onumber__of(X0,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11907_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23108,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 171.24/171.58 | ~ c_less(c_Numeral_Onumber__of(X0,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4417]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23109,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23108]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4395,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11917_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23064,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4395]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23065,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23064]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4391,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11918_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23056,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4391]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23057,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23056]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4383,plain,
% 171.24/171.58 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 171.24/171.58 | 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)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11922_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23040,plain,
% 171.24/171.58 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 171.24/171.58 | 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)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4383]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23041,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 171.24/171.58 | 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) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23040]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4374,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.24/171.58 | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 171.24/171.58 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11926_4) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23022,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.24/171.58 | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 171.24/171.58 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4374]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_23023,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_23022]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4354,plain,
% 171.24/171.58 ( X0 = c_0
% 171.24/171.58 | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 171.24/171.58 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11934_4) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22982,plain,
% 171.24/171.58 ( X0 = c_0
% 171.24/171.58 | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 171.24/171.58 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4354]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22983,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 171.24/171.58 | X2 = c_0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22982]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4351,plain,
% 171.24/171.58 ( c_in(X0,X1,X2)
% 171.24/171.58 | ~ c_in(X0,c_Inter(X3,X2),X2)
% 171.24/171.58 | ~ c_in(X1,X3,tc_set(X2)) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11935_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22976,plain,
% 171.24/171.58 ( c_in(X0,X1,X2)
% 171.24/171.58 | ~ c_in(X0,c_Inter(X3,X2),X2)
% 171.24/171.58 | ~ c_in(X1,X3,tc_set(X2)) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4351]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22977,plain,
% 171.24/171.58 ( ~ c_in(X0,c_Inter(X1,X2),X2)
% 171.24/171.58 | ~ c_in(X3,X1,tc_set(X2))
% 171.24/171.58 | c_in(X0,X3,X2) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22976]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4337,plain,
% 171.24/171.58 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 171.24/171.58 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11940_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22948,plain,
% 171.24/171.58 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 171.24/171.58 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4337]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22949,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22948]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4306,plain,
% 171.24/171.58 ( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
% 171.24/171.58 | c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)
% 171.24/171.58 | ~ c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11948_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22886,plain,
% 171.24/171.58 ( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
% 171.24/171.58 | c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)
% 171.24/171.58 | ~ c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4306]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22887,plain,
% 171.24/171.58 ( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
% 171.24/171.58 | ~ c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.24/171.58 | c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22886]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4301,plain,
% 171.24/171.58 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11950_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22876,plain,
% 171.24/171.58 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4301]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22877,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22876]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4299,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11950_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22872,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4299]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22873,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22872]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4297,plain,
% 171.24/171.58 ( ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
% 171.24/171.58 | c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.24/171.58 | ~ c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11951_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22868,plain,
% 171.24/171.58 ( ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
% 171.24/171.58 | c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.24/171.58 | ~ c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4297]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22869,plain,
% 171.24/171.58 ( c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
% 171.24/171.58 | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
% 171.24/171.58 | ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22868]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4293,plain,
% 171.24/171.58 ( c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
% 171.24/171.58 | ~ c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
% 171.24/171.58 | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11952_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22860,plain,
% 171.24/171.58 ( c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
% 171.24/171.58 | ~ c_in(c_Message_Omsg_OKey(X0),X2,tc_Message_Omsg)
% 171.24/171.58 | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4293]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22861,plain,
% 171.24/171.58 ( ~ c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
% 171.24/171.58 | c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.24/171.58 | ~ c_in(X2,c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22860]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4288,plain,
% 171.24/171.58 ( X0 = X1
% 171.24/171.58 | c_Nat_Opower(X2,X0,X3) != c_Nat_Opower(X2,X1,X3)
% 171.24/171.58 | ~ c_less(c_1,X2,X3)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 171.24/171.58 | ~ class_Power_Orecpower(X3) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11953_4) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22850,plain,
% 171.24/171.58 ( X0 = X1
% 171.24/171.58 | c_Nat_Opower(X2,X0,X3) != c_Nat_Opower(X2,X1,X3)
% 171.24/171.58 | ~ c_less(c_1,X2,X3)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 171.24/171.58 | ~ class_Power_Orecpower(X3) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4288]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22851,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | ~ c_less(c_1,X1,X0)
% 171.24/171.58 | c_Nat_Opower(X1,X2,X0) != c_Nat_Opower(X1,X3,X0)
% 171.24/171.58 | X2 = X3 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22850]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4281,plain,
% 171.24/171.58 ( c_Orderings_Omax(X0,c_Finite__Set_OMin(X1,X2),X2) = X0
% 171.24/171.58 | X1 = c_emptyset
% 171.24/171.58 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.58 | ~ c_in(X0,X1,X2)
% 171.24/171.58 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11955_4) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22836,plain,
% 171.24/171.58 ( c_Orderings_Omax(X0,c_Finite__Set_OMin(X1,X2),X2) = X0
% 171.24/171.58 | X1 = c_emptyset
% 171.24/171.58 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.58 | ~ c_in(X0,X1,X2)
% 171.24/171.58 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4281]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22837,plain,
% 171.24/171.58 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.58 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.58 | ~ c_in(X2,X1,X0)
% 171.24/171.58 | c_Orderings_Omax(X2,c_Finite__Set_OMin(X1,X0),X0) = X2
% 171.24/171.58 | X1 = c_emptyset ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22836]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4276,plain,
% 171.24/171.58 ( c_Orderings_Omin(X0,c_Finite__Set_OMax(X1,X2),X2) = X0
% 171.24/171.58 | X1 = c_emptyset
% 171.24/171.58 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.58 | ~ c_in(X0,X1,X2)
% 171.24/171.58 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11956_4) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22826,plain,
% 171.24/171.58 ( c_Orderings_Omin(X0,c_Finite__Set_OMax(X1,X2),X2) = X0
% 171.24/171.58 | X1 = c_emptyset
% 171.24/171.58 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.58 | ~ c_in(X0,X1,X2)
% 171.24/171.58 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4276]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22827,plain,
% 171.24/171.58 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.58 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.58 | ~ c_in(X2,X1,X0)
% 171.24/171.58 | c_Orderings_Omin(X2,c_Finite__Set_OMax(X1,X0),X0) = X2
% 171.24/171.58 | X1 = c_emptyset ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22826]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4268,plain,
% 171.24/171.58 ( X0 = c_emptyset
% 171.24/171.58 | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 171.24/171.58 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.58 | ~ c_in(X2,X0,X1)
% 171.24/171.58 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11958_4) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22810,plain,
% 171.24/171.58 ( X0 = c_emptyset
% 171.24/171.58 | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 171.24/171.58 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.58 | ~ c_in(X2,X0,X1)
% 171.24/171.58 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4268]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22811,plain,
% 171.24/171.58 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.58 | c_lessequals(c_Finite__Set_OMin(X1,X0),X2,X0)
% 171.24/171.58 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.58 | ~ c_in(X2,X1,X0)
% 171.24/171.58 | X1 = c_emptyset ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22810]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4263,plain,
% 171.24/171.58 ( X0 = c_emptyset
% 171.24/171.58 | c_lessequals(X1,c_Finite__Set_OMax(X0,X2),X2)
% 171.24/171.58 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.58 | ~ c_in(X1,X0,X2)
% 171.24/171.58 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11959_4) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22800,plain,
% 171.24/171.58 ( X0 = c_emptyset
% 171.24/171.58 | c_lessequals(X1,c_Finite__Set_OMax(X0,X2),X2)
% 171.24/171.58 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.58 | ~ c_in(X1,X0,X2)
% 171.24/171.58 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4263]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22801,plain,
% 171.24/171.58 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.58 | c_lessequals(X1,c_Finite__Set_OMax(X2,X0),X0)
% 171.24/171.58 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.58 | ~ c_in(X1,X2,X0)
% 171.24/171.58 | X2 = c_emptyset ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22800]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4259,plain,
% 171.24/171.58 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11961_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22792,plain,
% 171.24/171.58 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4259]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22793,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22792]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4257,plain,
% 171.24/171.58 ( 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)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11962_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22788,plain,
% 171.24/171.58 ( 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)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4257]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22789,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | 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) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22788]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4249,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11965_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22772,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4249]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22773,plain,
% 171.24/171.58 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22772]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4237,plain,
% 171.24/171.58 ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_less(X0,c_0,X1)
% 171.24/171.58 | ~ class_Orderings_Olinorder(X1)
% 171.24/171.58 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11970_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22748,plain,
% 171.24/171.58 ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_less(X0,c_0,X1)
% 171.24/171.58 | ~ class_Orderings_Olinorder(X1)
% 171.24/171.58 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4237]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22749,plain,
% 171.24/171.58 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.58 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.24/171.58 | c_less(c_plus(X1,X1,X0),c_0,X0)
% 171.24/171.58 | ~ c_less(X1,c_0,X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22748]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4225,plain,
% 171.24/171.58 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11973_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22724,plain,
% 171.24/171.58 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4225]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22725,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22724]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4219,plain,
% 171.24/171.58 ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 171.24/171.58 | ~ c_less(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11978_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22712,plain,
% 171.24/171.58 ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 171.24/171.58 | ~ c_less(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4219]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22713,plain,
% 171.24/171.58 ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 171.24/171.58 | ~ c_less(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22712]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4215,plain,
% 171.24/171.58 ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 171.24/171.58 | ~ c_lessequals(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11979_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22704,plain,
% 171.24/171.58 ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 171.24/171.58 | ~ c_lessequals(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4215]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22705,plain,
% 171.24/171.58 ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 171.24/171.58 | ~ c_lessequals(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22704]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4211,plain,
% 171.24/171.58 ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_less(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11980_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22696,plain,
% 171.24/171.58 ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_less(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4211]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22697,plain,
% 171.24/171.58 ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_less(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22696]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4207,plain,
% 171.24/171.58 ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_lessequals(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11981_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22688,plain,
% 171.24/171.58 ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_lessequals(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4207]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22689,plain,
% 171.24/171.58 ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_lessequals(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22688]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4187,plain,
% 171.24/171.58 ( 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)
% 171.24/171.58 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11989_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22648,plain,
% 171.24/171.58 ( 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)
% 171.24/171.58 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4187]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22649,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | 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) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22648]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4173,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.24/171.58 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11994_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22620,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.24/171.58 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4173]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22621,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22620]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4155,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 171.24/171.58 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12019_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22584,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 171.24/171.58 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4155]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22585,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22584]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4141,plain,
% 171.24/171.58 ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12025_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22556,plain,
% 171.24/171.58 ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4141]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22557,plain,
% 171.24/171.58 ( c_lessequals(c_1,c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22556]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4135,plain,
% 171.24/171.58 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12027_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22544,plain,
% 171.24/171.58 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4135]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22545,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 171.24/171.58 | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22544]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4099,plain,
% 171.24/171.58 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12045_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22472,plain,
% 171.24/171.58 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4099]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22473,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22472]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4077,plain,
% 171.24/171.58 ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12054_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22428,plain,
% 171.24/171.58 ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4077]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22429,plain,
% 171.24/171.58 ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X3,X0,X2) | c_in(X3,X1,X2) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22428]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4076,plain,
% 171.24/171.58 ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12054_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22426,plain,
% 171.24/171.58 ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4076]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22427,plain,
% 171.24/171.58 ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X3,X1,X2) | ~ c_in(X3,X0,X2) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22426]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4042,plain,
% 171.24/171.58 ( c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 171.24/171.58 | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12073_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22358,plain,
% 171.24/171.58 ( c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 171.24/171.58 | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4042]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22359,plain,
% 171.24/171.58 ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 171.24/171.58 | c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat)
% 171.24/171.58 | ~ c_less(X1,X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22358]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4022,plain,
% 171.24/171.58 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_uminus(c_Nat_Opower(X0,X2,X1),X1)
% 171.24/171.58 | c_Parity_Oeven(X2,tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12080_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22318,plain,
% 171.24/171.58 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_uminus(c_Nat_Opower(X0,X2,X1),X1)
% 171.24/171.58 | c_Parity_Oeven(X2,tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4022]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22319,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_uminus(c_Nat_Opower(X2,X1,X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22318]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4006,plain,
% 171.24/171.58 ( X0 = c_0
% 171.24/171.58 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12088_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22286,plain,
% 171.24/171.58 ( X0 = c_0
% 171.24/171.58 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4006]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22287,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0)
% 171.24/171.58 | X1 = c_0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22286]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_4003,plain,
% 171.24/171.58 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12091_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22280,plain,
% 171.24/171.58 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_4003]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22281,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22280]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3997,plain,
% 171.24/171.58 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 171.24/171.58 | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 171.24/171.58 | ~ c_List_Odistinct(X1,X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12094_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22268,plain,
% 171.24/171.58 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 171.24/171.58 | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 171.24/171.58 | ~ c_List_Odistinct(X1,X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3997]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22269,plain,
% 171.24/171.58 ( c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 171.24/171.58 | ~ c_List_Odistinct(X1,X2)
% 171.24/171.58 | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22268]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3994,plain,
% 171.24/171.58 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12097_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22262,plain,
% 171.24/171.58 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3994]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22263,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),c_0,X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22262]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3993,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12098_0) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22260,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3993]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22261,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22260]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3975,plain,
% 171.24/171.58 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_uminus(c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12108_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22224,plain,
% 171.24/171.58 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_uminus(c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3975]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22225,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.58 | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22224]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3969,plain,
% 171.24/171.58 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_less(c_0,X1,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12110_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22212,plain,
% 171.24/171.58 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_less(c_0,X1,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3969]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22213,plain,
% 171.24/171.58 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_less(c_0,X1,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22212]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3966,plain,
% 171.24/171.58 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_less(c_0,X1,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12111_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22206,plain,
% 171.24/171.58 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_less(c_0,X1,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3966]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22207,plain,
% 171.24/171.58 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | ~ c_less(c_0,X1,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22206]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3942,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12120_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22158,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3942]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22159,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22158]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3941,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12120_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22156,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3941]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22157,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22156]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3939,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12121_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22152,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3939]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22153,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22152]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3938,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12121_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22150,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3938]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22151,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22150]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3936,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12122_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22146,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3936]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22147,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22146]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3935,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12122_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22144,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3935]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22145,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22144]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3933,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12123_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22140,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3933]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22141,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | c_Parity_Oeven(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22140]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3932,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12123_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22138,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3932]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22139,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22138]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3930,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12124_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22134,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3930]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22135,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22134]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3929,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12124_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22132,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3929]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22133,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22132]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3927,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12125_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22128,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3927]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22129,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22128]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3926,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12125_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22126,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3926]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22127,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22126]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3901,plain,
% 171.24/171.58 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.58 | c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2) != c_0
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12143_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22076,plain,
% 171.24/171.58 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.58 | c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2) != c_0
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3901]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22077,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0) != c_0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22076]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3890,plain,
% 171.24/171.58 ( 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)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12155_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22054,plain,
% 171.24/171.58 ( 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)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3890]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22055,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | 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) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22054]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3886,plain,
% 171.24/171.58 ( X0 = c_emptyset
% 171.24/171.58 | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 171.24/171.58 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.58 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12156_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22046,plain,
% 171.24/171.58 ( X0 = c_emptyset
% 171.24/171.58 | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 171.24/171.58 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.58 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3886]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22047,plain,
% 171.24/171.58 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.58 | c_lessequals(c_Finite__Set_OMin(X1,X0),c_Finite__Set_OMax(X1,X0),X0)
% 171.24/171.58 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.58 | X1 = c_emptyset ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22046]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3872,plain,
% 171.24/171.58 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 171.24/171.58 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12162_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22018,plain,
% 171.24/171.58 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 171.24/171.58 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3872]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_22019,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.24/171.58 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_22018]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3840,plain,
% 171.24/171.58 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12175_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21954,plain,
% 171.24/171.58 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3840]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21955,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21954]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3837,plain,
% 171.24/171.58 ( 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)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12176_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21948,plain,
% 171.24/171.58 ( 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)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3837]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21949,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | 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) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21948]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3834,plain,
% 171.24/171.58 ( 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)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12177_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21942,plain,
% 171.24/171.58 ( 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)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3834]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21943,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | 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) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21942]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3812,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X2),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12187_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21898,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X2),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3812]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21899,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21898]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3802,plain,
% 171.24/171.58 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12192_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21878,plain,
% 171.24/171.58 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3802]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21879,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21878]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3786,plain,
% 171.24/171.58 ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 171.24/171.58 | ~ c_in(X2,X0,X1)
% 171.24/171.58 | X2 = X3
% 171.24/171.58 | ~ c_in(X3,X0,X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12198_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21846,plain,
% 171.24/171.58 ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 171.24/171.58 | ~ c_in(X2,X0,X1)
% 171.24/171.58 | X2 = X3
% 171.24/171.58 | ~ c_in(X3,X0,X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3786]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21847,plain,
% 171.24/171.58 ( ~ c_in(X0,X1,X2)
% 171.24/171.58 | ~ c_in(X3,X1,X2)
% 171.24/171.58 | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 171.24/171.58 | X0 = X3 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21846]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3784,plain,
% 171.24/171.58 ( X0 = X1
% 171.24/171.58 | ~ c_in(X1,X2,X3)
% 171.24/171.58 | ~ c_in(X0,X2,X3)
% 171.24/171.58 | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12198_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21842,plain,
% 171.24/171.58 ( X0 = X1
% 171.24/171.58 | ~ c_in(X1,X2,X3)
% 171.24/171.58 | ~ c_in(X0,X2,X3)
% 171.24/171.58 | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3784]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21843,plain,
% 171.24/171.58 ( ~ c_in(X0,X1,X2)
% 171.24/171.58 | ~ c_in(X3,X1,X2)
% 171.24/171.58 | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 171.24/171.58 | X3 = X0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21842]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3780,plain,
% 171.24/171.58 ( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 | ~ c_less(c_0,X0,tc_nat) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12201_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21834,plain,
% 171.24/171.58 ( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 | ~ c_less(c_0,X0,tc_nat) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3780]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21835,plain,
% 171.24/171.58 ( ~ c_less(c_0,X0,tc_nat) | c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21834]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3770,plain,
% 171.24/171.58 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12205_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21814,plain,
% 171.24/171.58 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3770]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21815,plain,
% 171.24/171.58 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21814]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3769,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12205_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21812,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3769]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21813,plain,
% 171.24/171.58 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21812]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3765,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12206_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21804,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3765]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21805,plain,
% 171.24/171.58 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21804]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3762,plain,
% 171.24/171.58 ( X0 = X1
% 171.24/171.58 | ~ c_lessequals(X0,X1,tc_set(X2))
% 171.24/171.58 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12207_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21798,plain,
% 171.24/171.58 ( X0 = X1
% 171.24/171.58 | ~ c_lessequals(X0,X1,tc_set(X2))
% 171.24/171.58 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3762]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21799,plain,
% 171.24/171.58 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 171.24/171.58 | ~ c_lessequals(X1,X0,tc_set(X2))
% 171.24/171.58 | X0 = X1 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21798]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3750,plain,
% 171.24/171.58 ( c_less(c_0,X0,X1)
% 171.24/171.58 | ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12212_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21774,plain,
% 171.24/171.58 ( c_less(c_0,X0,X1)
% 171.24/171.58 | ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3750]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21775,plain,
% 171.24/171.58 ( ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.58 | c_less(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21774]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3746,plain,
% 171.24/171.58 ( c_lessequals(X0,c_0,X1)
% 171.24/171.58 | ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12213_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21766,plain,
% 171.24/171.58 ( c_lessequals(X0,c_0,X1)
% 171.24/171.58 | ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3746]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21767,plain,
% 171.24/171.58 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 171.24/171.58 | c_lessequals(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21766]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3742,plain,
% 171.24/171.58 ( c_lessequals(c_0,X0,X1)
% 171.24/171.58 | ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12214_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21758,plain,
% 171.24/171.58 ( c_lessequals(c_0,X0,X1)
% 171.24/171.58 | ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3742]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21759,plain,
% 171.24/171.58 ( ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.58 | c_lessequals(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21758]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3738,plain,
% 171.24/171.58 ( c_less(X0,c_0,X1)
% 171.24/171.58 | ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12215_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21750,plain,
% 171.24/171.58 ( c_less(X0,c_0,X1)
% 171.24/171.58 | ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3738]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21751,plain,
% 171.24/171.58 ( ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 171.24/171.58 | c_less(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21750]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3730,plain,
% 171.24/171.58 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12219_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21734,plain,
% 171.24/171.58 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3730]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21735,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 171.24/171.58 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21734]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3701,plain,
% 171.24/171.58 ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12227_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21676,plain,
% 171.24/171.58 ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3701]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21677,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21676]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3696,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12229_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21666,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3696]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21667,plain,
% 171.24/171.58 ( ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21666]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3665,plain,
% 171.24/171.58 ( X0 = c_emptyset
% 171.24/171.58 | c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 171.24/171.58 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.58 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12250_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21604,plain,
% 171.24/171.58 ( X0 = c_emptyset
% 171.24/171.58 | c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 171.24/171.58 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.58 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3665]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21605,plain,
% 171.24/171.58 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.58 | c_in(c_Finite__Set_OMin(X1,X0),X1,X0)
% 171.24/171.58 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.58 | X1 = c_emptyset ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21604]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3661,plain,
% 171.24/171.58 ( X0 = c_emptyset
% 171.24/171.58 | c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 171.24/171.58 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.58 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12251_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21596,plain,
% 171.24/171.58 ( X0 = c_emptyset
% 171.24/171.58 | c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 171.24/171.58 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.24/171.58 | ~ class_Orderings_Olinorder(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3661]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21597,plain,
% 171.24/171.58 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.58 | c_in(c_Finite__Set_OMax(X1,X0),X1,X0)
% 171.24/171.58 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.24/171.58 | X1 = c_emptyset ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21596]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3613,plain,
% 171.24/171.58 ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.58 | ~ c_less(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12268_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21500,plain,
% 171.24/171.58 ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.58 | ~ c_less(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3613]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21501,plain,
% 171.24/171.58 ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.58 | ~ c_less(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21500]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3609,plain,
% 171.24/171.58 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_lessequals(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12269_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21492,plain,
% 171.24/171.58 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_lessequals(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3609]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21493,plain,
% 171.24/171.58 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_lessequals(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21492]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3605,plain,
% 171.24/171.58 ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.58 | ~ c_lessequals(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12270_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21484,plain,
% 171.24/171.58 ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.58 | ~ c_lessequals(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3605]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21485,plain,
% 171.24/171.58 ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 171.24/171.58 | ~ c_lessequals(c_0,X0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21484]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3601,plain,
% 171.24/171.58 ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_less(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12271_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21476,plain,
% 171.24/171.58 ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_less(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3601]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21477,plain,
% 171.24/171.58 ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 171.24/171.58 | ~ c_less(X0,c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21476]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3570,plain,
% 171.24/171.58 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12289_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21414,plain,
% 171.24/171.58 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3570]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21415,plain,
% 171.24/171.58 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21414]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3568,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12289_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21410,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3568]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21411,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21410]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3485,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12336_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21244,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3485]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21245,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21244]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3481,plain,
% 171.24/171.58 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_Nat_Opower(X0,X2,X1)
% 171.24/171.58 | ~ c_Parity_Oeven(X2,tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12337_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21236,plain,
% 171.24/171.58 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_Nat_Opower(X0,X2,X1)
% 171.24/171.58 | ~ c_Parity_Oeven(X2,tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3481]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21237,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_Nat_Opower(X2,X1,X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21236]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3449,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12351_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21172,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3449]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21173,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21172]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3445,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12352_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21164,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3445]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21165,plain,
% 171.24/171.58 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21164]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3431,plain,
% 171.24/171.58 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12360_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21136,plain,
% 171.24/171.58 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3431]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21137,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21136]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3400,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12390_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21074,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3400]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21075,plain,
% 171.24/171.58 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21074]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3397,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12391_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21068,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3397]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21069,plain,
% 171.24/171.58 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21068]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3394,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12392_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21062,plain,
% 171.24/171.58 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3394]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_21063,plain,
% 171.24/171.58 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_21062]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3357,plain,
% 171.24/171.58 ( c_less(c_0,X0,tc_nat)
% 171.24/171.58 | c_Nat_Opower(X1,X0,X2) != c_0
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12422_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20988,plain,
% 171.24/171.58 ( c_less(c_0,X0,tc_nat)
% 171.24/171.58 | c_Nat_Opower(X1,X0,X2) != c_0
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3357]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20989,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | c_less(c_0,X1,tc_nat)
% 171.24/171.58 | c_Nat_Opower(X2,X1,X0) != c_0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20988]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3353,plain,
% 171.24/171.58 ( c_less(c_1,X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12426_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20980,plain,
% 171.24/171.58 ( c_less(c_1,X0,tc_IntDef_Oint)
% 171.24/171.58 | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3353]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20981,plain,
% 171.24/171.58 ( ~ c_less(c_1,c_IntDef_Onat(X0),tc_nat)
% 171.24/171.58 | c_less(c_1,X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20980]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3350,plain,
% 171.24/171.58 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB1),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12427_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20974,plain,
% 171.24/171.58 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB1),X1),X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3350]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20975,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X0),X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20974]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3338,plain,
% 171.24/171.58 ( c_Nat_Opower(c_0,X0,X1) = c_0
% 171.24/171.58 | ~ c_less(c_0,X0,tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12432_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20950,plain,
% 171.24/171.58 ( c_Nat_Opower(c_0,X0,X1) = c_0
% 171.24/171.58 | ~ c_less(c_0,X0,tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Power_Orecpower(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3338]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20951,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | ~ c_less(c_0,X1,tc_nat)
% 171.24/171.58 | c_Nat_Opower(c_0,X1,X0) = c_0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20950]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3323,plain,
% 171.24/171.58 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 171.24/171.58 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12438_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20920,plain,
% 171.24/171.58 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 171.24/171.58 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3323]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20921,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 171.24/171.58 | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20920]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3309,plain,
% 171.24/171.58 ( c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 171.24/171.58 | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12448_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20892,plain,
% 171.24/171.58 ( c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 171.24/171.58 | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3309]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20893,plain,
% 171.24/171.58 ( c_less(c_1,c_IntDef_Onat(X0),tc_nat)
% 171.24/171.58 | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20892]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3297,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12455_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20868,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3297]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20869,plain,
% 171.24/171.58 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20868]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3294,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12456_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20862,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_nat)
% 171.24/171.58 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3294]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20863,plain,
% 171.24/171.58 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | c_Parity_Oeven(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20862]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3291,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12457_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20856,plain,
% 171.24/171.58 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3291]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20857,plain,
% 171.24/171.58 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.24/171.58 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20856]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3271,plain,
% 171.24/171.58 ( X0 = c_0
% 171.24/171.58 | c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2) != c_0
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12465_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20816,plain,
% 171.24/171.58 ( X0 = c_0
% 171.24/171.58 | c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2) != c_0
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3271]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20817,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 171.24/171.58 | X1 = c_0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20816]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3267,plain,
% 171.24/171.58 ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12467_1) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20808,plain,
% 171.24/171.58 ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3267]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20809,plain,
% 171.24/171.58 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_1 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20808]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3264,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12468_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20802,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3264]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20803,plain,
% 171.24/171.58 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20802]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3261,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12469_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20796,plain,
% 171.24/171.58 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3261]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20797,plain,
% 171.24/171.58 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20796]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3226,plain,
% 171.24/171.58 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,X1) != c_0
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12492_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20726,plain,
% 171.24/171.58 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 171.24/171.58 | c_Numeral_Onumber__of(X0,X1) != c_0
% 171.24/171.58 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3226]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20727,plain,
% 171.24/171.58 ( ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.58 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0)
% 171.24/171.58 | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20726]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3177,plain,
% 171.24/171.58 ( c_uminus(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 171.24/171.58 | ~ class_OrderedGroup_Oab__group__add(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12523_2) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20628,plain,
% 171.24/171.58 ( c_uminus(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 171.24/171.58 | ~ class_OrderedGroup_Oab__group__add(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3177]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20629,plain,
% 171.24/171.58 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.24/171.58 | ~ class_Numeral_Onumber(X0)
% 171.24/171.58 | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20628]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3147,plain,
% 171.24/171.58 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12540_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20568,plain,
% 171.24/171.58 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3147]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20569,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0) ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20568]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3129,plain,
% 171.24/171.58 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12546_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20532,plain,
% 171.24/171.58 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3129]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20533,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | ~ c_Parity_Oeven(X1,tc_nat)
% 171.24/171.58 | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20532]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3076,plain,
% 171.24/171.58 ( X0 = c_0
% 171.24/171.58 | c_Nat_Opower(X0,X1,X2) != c_0
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12570_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20426,plain,
% 171.24/171.58 ( X0 = c_0
% 171.24/171.58 | c_Nat_Opower(X0,X1,X2) != c_0
% 171.24/171.58 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 171.24/171.58 | ~ class_Power_Orecpower(X2) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3076]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20427,plain,
% 171.24/171.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.58 | ~ class_Power_Orecpower(X0)
% 171.24/171.58 | c_Nat_Opower(X1,X2,X0) != c_0
% 171.24/171.58 | X1 = c_0 ),
% 171.24/171.58 inference(rewriting,[status(thm)],[c_20426]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_3059,plain,
% 171.24/171.58 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = X2
% 171.24/171.58 | c_uminus(X2,X1) != c_Numeral_Onumber__of(X0,X1)
% 171.24/171.58 | ~ class_OrderedGroup_Oab__group__add(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.58 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12577_3) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20392,plain,
% 171.24/171.58 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = X2
% 171.24/171.58 | c_uminus(X2,X1) != c_Numeral_Onumber__of(X0,X1)
% 171.24/171.58 | ~ class_OrderedGroup_Oab__group__add(X1)
% 171.24/171.58 | ~ class_Numeral_Onumber(X1) ),
% 171.24/171.58 inference(copy,[status(esa)],[c_3059]) ).
% 171.24/171.58
% 171.24/171.58 cnf(c_20393,plain,
% 171.24/171.58 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.24/171.59 | ~ class_Numeral_Onumber(X0)
% 171.24/171.59 | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = X2
% 171.24/171.59 | c_uminus(X2,X0) != c_Numeral_Onumber__of(X1,X0) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_20392]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_3055,plain,
% 171.24/171.59 ( X0 = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.59 | c_Numeral_Onumber__of(X1,X2) != c_uminus(X0,X2)
% 171.24/171.59 | ~ class_OrderedGroup_Oab__group__add(X2)
% 171.24/171.59 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12578_3) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_20384,plain,
% 171.24/171.59 ( X0 = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
% 171.24/171.59 | c_Numeral_Onumber__of(X1,X2) != c_uminus(X0,X2)
% 171.24/171.59 | ~ class_OrderedGroup_Oab__group__add(X2)
% 171.24/171.59 | ~ class_Numeral_Onumber(X2) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_3055]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_20385,plain,
% 171.24/171.59 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.24/171.59 | ~ class_Numeral_Onumber(X0)
% 171.24/171.59 | c_Numeral_Onumber__of(X1,X0) != c_uminus(X2,X0)
% 171.24/171.59 | X2 = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_20384]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_2990,plain,
% 171.24/171.59 ( X0 = c_Suc(c_0) | ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12609_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_20254,plain,
% 171.24/171.59 ( X0 = c_Suc(c_0) | ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_2990]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_20255,plain,
% 171.24/171.59 ( ~ c_Divides_Oop_Advd(X0,c_1,tc_nat) | X0 = c_1 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_20254]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_2963,plain,
% 171.24/171.59 ( X0 = c_1 | c_times(X1,X0,tc_nat) != c_Suc(c_0) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12621_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_20200,plain,
% 171.24/171.59 ( X0 = c_1 | c_times(X1,X0,tc_nat) != c_Suc(c_0) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_2963]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_20201,plain,
% 171.24/171.59 ( c_times(X0,X1,tc_nat) != c_1 | X1 = c_1 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_20200]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_2961,plain,
% 171.24/171.59 ( X0 = c_1 | c_times(X0,X1,tc_nat) != c_Suc(c_0) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12622_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_20196,plain,
% 171.24/171.59 ( X0 = c_1 | c_times(X0,X1,tc_nat) != c_Suc(c_0) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_2961]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_20197,plain,
% 171.24/171.59 ( c_times(X0,X1,tc_nat) != c_1 | X0 = c_1 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_20196]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_2868,plain,
% 171.24/171.59 ( X0 = c_0
% 171.24/171.59 | c_lessequals(X0,X1,tc_nat)
% 171.24/171.59 | c_List_Oupt(X1,X0) != c_List_Olist_ONil ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12689_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_20010,plain,
% 171.24/171.59 ( X0 = c_0
% 171.24/171.59 | c_lessequals(X0,X1,tc_nat)
% 171.24/171.59 | c_List_Oupt(X1,X0) != c_List_Olist_ONil ),
% 171.24/171.59 inference(copy,[status(esa)],[c_2868]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_20011,plain,
% 171.24/171.59 ( c_lessequals(X0,X1,tc_nat)
% 171.24/171.59 | c_List_Oupt(X1,X0) != c_List_Olist_ONil
% 171.24/171.59 | X0 = c_0 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_20010]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_2857,plain,
% 171.24/171.59 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 171.24/171.59 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.59 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12697_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_19988,plain,
% 171.24/171.59 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 171.24/171.59 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.59 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_2857]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_19989,plain,
% 171.24/171.59 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.59 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.59 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_19988]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_2697,plain,
% 171.24/171.59 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 171.24/171.59 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.59 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12873_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_19668,plain,
% 171.24/171.59 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 171.24/171.59 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.59 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_2697]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_19669,plain,
% 171.24/171.59 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.59 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.59 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_19668]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_2691,plain,
% 171.24/171.59 ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1
% 171.24/171.59 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.59 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12875_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_19656,plain,
% 171.24/171.59 ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1
% 171.24/171.59 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.59 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_2691]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_19657,plain,
% 171.24/171.59 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.24/171.59 | ~ class_Numeral_Onumber__ring(X0)
% 171.24/171.59 | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_19656]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_2665,plain,
% 171.24/171.59 ( ~ class_Finite__Set_Ofinite(X0)
% 171.24/171.59 | class_Finite__Set_Ofinite(tc_sum(X1,X0))
% 171.24/171.59 | ~ class_Finite__Set_Ofinite(X1) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12896_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_19604,plain,
% 171.24/171.59 ( ~ class_Finite__Set_Ofinite(X0)
% 171.24/171.59 | class_Finite__Set_Ofinite(tc_sum(X1,X0))
% 171.24/171.59 | ~ class_Finite__Set_Ofinite(X1) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_2665]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_19605,plain,
% 171.24/171.59 ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 171.24/171.59 | ~ class_Finite__Set_Ofinite(X1)
% 171.24/171.59 | ~ class_Finite__Set_Ofinite(X0) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_19604]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_2662,plain,
% 171.24/171.59 ( ~ class_Finite__Set_Ofinite(X0)
% 171.24/171.59 | class_Finite__Set_Ofinite(tc_prod(X1,X0))
% 171.24/171.59 | ~ class_Finite__Set_Ofinite(X1) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12897_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_19598,plain,
% 171.24/171.59 ( ~ class_Finite__Set_Ofinite(X0)
% 171.24/171.59 | class_Finite__Set_Ofinite(tc_prod(X1,X0))
% 171.24/171.59 | ~ class_Finite__Set_Ofinite(X1) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_2662]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_19599,plain,
% 171.24/171.59 ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 171.24/171.59 | ~ class_Finite__Set_Ofinite(X1)
% 171.24/171.59 | ~ class_Finite__Set_Ofinite(X0) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_19598]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_2659,plain,
% 171.24/171.59 ( ~ class_Finite__Set_Ofinite(X0)
% 171.24/171.59 | class_Finite__Set_Ofinite(tc_fun(X1,X0))
% 171.24/171.59 | ~ class_Finite__Set_Ofinite(X1) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12898_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_19592,plain,
% 171.24/171.59 ( ~ class_Finite__Set_Ofinite(X0)
% 171.24/171.59 | class_Finite__Set_Ofinite(tc_fun(X1,X0))
% 171.24/171.59 | ~ class_Finite__Set_Ofinite(X1) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_2659]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_19593,plain,
% 171.24/171.59 ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 171.24/171.59 | ~ class_Finite__Set_Ofinite(X1)
% 171.24/171.59 | ~ class_Finite__Set_Ofinite(X0) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_19592]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_672,plain,
% 171.24/171.59 ( ~ c_in(X0,c_Message_Oparts(c_emptyset),tc_Message_Omsg) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12627_0) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_15618,plain,
% 171.24/171.59 ( ~ c_in(X0,c_Message_Oparts(c_emptyset),tc_Message_Omsg) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_672]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_15619,plain,
% 171.24/171.59 ( ~ c_in(X0,c_emptyset,tc_Message_Omsg) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_15618]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_331,plain,
% 171.24/171.59 ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12764_0) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_15204,plain,
% 171.24/171.59 ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_331]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_15205,plain,
% 171.24/171.59 ( c_Divides_Oop_Advd(c_1,c_1,tc_nat) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_15204]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_321,plain,
% 171.24/171.59 ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12781_0) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_15187,plain,
% 171.24/171.59 ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_321]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_15188,plain,
% 171.24/171.59 ( c_Divides_Oop_Advd(c_1,X0,tc_nat) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_15187]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_317,plain,
% 171.24/171.59 ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12788_0) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_15181,plain,
% 171.24/171.59 ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_317]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_15182,plain,
% 171.24/171.59 ( c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_15181]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6140,plain,
% 171.24/171.59 ( 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))
% 171.24/171.59 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11332_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26554,plain,
% 171.24/171.59 ( 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))
% 171.24/171.59 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6140]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6138,plain,
% 171.24/171.59 ( 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))
% 171.24/171.59 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11333_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26550,plain,
% 171.24/171.59 ( 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))
% 171.24/171.59 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6138]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6136,plain,
% 171.24/171.59 ( 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
% 171.24/171.59 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11334_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26546,plain,
% 171.24/171.59 ( 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
% 171.24/171.59 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6136]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26547,plain,
% 171.24/171.59 ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 171.24/171.59 | 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 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26546]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6134,plain,
% 171.24/171.59 ( 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
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11335_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26542,plain,
% 171.24/171.59 ( 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
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6134]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26543,plain,
% 171.24/171.59 ( ~ 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))))
% 171.24/171.59 | 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 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26542]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6132,plain,
% 171.24/171.59 ( 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))))
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11336_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26538,plain,
% 171.24/171.59 ( 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))))
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6132]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6130,plain,
% 171.24/171.59 ( 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))))
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11337_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26534,plain,
% 171.24/171.59 ( 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))))
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6130]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6119,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11341_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26512,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6119]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6117,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11342_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26508,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6117]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26509,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | 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))) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26508]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6114,plain,
% 171.24/171.59 ( 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))))
% 171.24/171.59 | ~ 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))))
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11343_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26502,plain,
% 171.24/171.59 ( 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))))
% 171.24/171.59 | ~ 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))))
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6114]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6112,plain,
% 171.24/171.59 ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11344_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26498,plain,
% 171.24/171.59 ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6112]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6110,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,X2,X0,X3,X4),X4,X4),X1,tc_prod(X4,X4))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11345_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26494,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,X2,X0,X3,X4),X4,X4),X1,tc_prod(X4,X4))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6110]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26495,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),X2,X2),X4,tc_prod(X2,X2)) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26494]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6107,plain,
% 171.24/171.59 ( 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
% 171.24/171.59 | 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
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11346_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26488,plain,
% 171.24/171.59 ( 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
% 171.24/171.59 | 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
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6107]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26489,plain,
% 171.24/171.59 ( ~ 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))))
% 171.24/171.59 | 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
% 171.24/171.59 | 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 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26488]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6105,plain,
% 171.24/171.59 ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 171.24/171.59 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11347_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26484,plain,
% 171.24/171.59 ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 171.24/171.59 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6105]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6103,plain,
% 171.24/171.59 ( 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
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11348_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26480,plain,
% 171.24/171.59 ( 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
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6103]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26481,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | 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 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26480]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6101,plain,
% 171.24/171.59 ( 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
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11349_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26476,plain,
% 171.24/171.59 ( 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
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6101]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26477,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | 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 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26476]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6099,plain,
% 171.24/171.59 ( 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
% 171.24/171.59 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11350_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26472,plain,
% 171.24/171.59 ( 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
% 171.24/171.59 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6099]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26473,plain,
% 171.24/171.59 ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 171.24/171.59 | 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 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26472]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6096,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 171.24/171.59 | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 171.24/171.59 | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11351_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26466,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 171.24/171.59 | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 171.24/171.59 | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6096]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6094,plain,
% 171.24/171.59 ( c_plus(X0,X1,tc_nat) = c_plus(X2,X3,tc_nat)
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11352_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26462,plain,
% 171.24/171.59 ( c_plus(X0,X1,tc_nat) = c_plus(X2,X3,tc_nat)
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6094]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26463,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | c_plus(X0,X3,tc_nat) = c_plus(X2,X1,tc_nat) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26462]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6088,plain,
% 171.24/171.59 ( 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))
% 171.24/171.59 | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11354_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26450,plain,
% 171.24/171.59 ( 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))
% 171.24/171.59 | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6088]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26451,plain,
% 171.24/171.59 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | 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)) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26450]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6083,plain,
% 171.24/171.59 ( 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))))
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11356_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26440,plain,
% 171.24/171.59 ( 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))))
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6083]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6081,plain,
% 171.24/171.59 ( 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))))
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11357_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26436,plain,
% 171.24/171.59 ( 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))))
% 171.24/171.59 | ~ 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)))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6081]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6076,plain,
% 171.24/171.59 ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 171.24/171.59 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11359_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26426,plain,
% 171.24/171.59 ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 171.24/171.59 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6076]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6074,plain,
% 171.24/171.59 ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 171.24/171.59 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11360_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26422,plain,
% 171.24/171.59 ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 171.24/171.59 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6074]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6071,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11361_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26416,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6071]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26417,plain,
% 171.24/171.59 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | 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) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26416]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6065,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11363_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26404,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6065]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26405,plain,
% 171.24/171.59 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | 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) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26404]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6060,plain,
% 171.24/171.59 ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 171.24/171.59 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11365_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26394,plain,
% 171.24/171.59 ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 171.24/171.59 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6060]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6058,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11366_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26390,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6058]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26391,plain,
% 171.24/171.59 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | 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) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26390]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6056,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11367_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26386,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6056]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26387,plain,
% 171.24/171.59 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | 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) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26386]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6053,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11368_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26380,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6053]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26381,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | 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)))
% 171.24/171.59 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26380]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6050,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11369_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26374,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6050]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26375,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | 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)))
% 171.24/171.59 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26374]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6048,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11371_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26370,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6048]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6046,plain,
% 171.24/171.59 ( 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))
% 171.24/171.59 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11372_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26366,plain,
% 171.24/171.59 ( 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))
% 171.24/171.59 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6046]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6044,plain,
% 171.24/171.59 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 171.24/171.59 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11373_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26362,plain,
% 171.24/171.59 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 171.24/171.59 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6044]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26363,plain,
% 171.24/171.59 ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 171.24/171.59 | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26362]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6042,plain,
% 171.24/171.59 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 171.24/171.59 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11374_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26358,plain,
% 171.24/171.59 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 171.24/171.59 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6042]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6039,plain,
% 171.24/171.59 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 171.24/171.59 | 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)))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11375_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26352,plain,
% 171.24/171.59 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 171.24/171.59 | 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)))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6039]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26353,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | 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)))
% 171.24/171.59 | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26352]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6036,plain,
% 171.24/171.59 ( X0 = X1
% 171.24/171.59 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11376_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26346,plain,
% 171.24/171.59 ( X0 = X1
% 171.24/171.59 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6036]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26347,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 171.24/171.59 | X0 = X3 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26346]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6033,plain,
% 171.24/171.59 ( X0 = X1
% 171.24/171.59 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11377_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26340,plain,
% 171.24/171.59 ( X0 = X1
% 171.24/171.59 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6033]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26341,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 171.24/171.59 | X0 = X3 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26340]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6022,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11381_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26318,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6022]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6020,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11382_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26314,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6020]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6018,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | 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)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11383_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26310,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | 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)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6018]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6015,plain,
% 171.24/171.59 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 171.24/171.59 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1
% 171.24/171.59 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11384_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26304,plain,
% 171.24/171.59 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 171.24/171.59 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1
% 171.24/171.59 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6015]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26305,plain,
% 171.24/171.59 ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 171.24/171.59 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0
% 171.24/171.59 | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26304]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6010,plain,
% 171.24/171.59 ( 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))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11386_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26294,plain,
% 171.24/171.59 ( 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))
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6010]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26295,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | 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)) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26294]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_6007,plain,
% 171.24/171.59 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 171.24/171.59 | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1
% 171.24/171.59 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11387_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26288,plain,
% 171.24/171.59 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 171.24/171.59 | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1
% 171.24/171.59 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_6007]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26289,plain,
% 171.24/171.59 ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 171.24/171.59 | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0
% 171.24/171.59 | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26288]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5996,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11392_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26266,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5996]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5994,plain,
% 171.24/171.59 ( c_Wellfounded__Recursion_Owf(X0,X1)
% 171.24/171.59 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11393_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26262,plain,
% 171.24/171.59 ( c_Wellfounded__Recursion_Owf(X0,X1)
% 171.24/171.59 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5994]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26263,plain,
% 171.24/171.59 ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 171.24/171.59 | c_Wellfounded__Recursion_Owf(X3,X2) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26262]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5992,plain,
% 171.24/171.59 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 171.24/171.59 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11394_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26258,plain,
% 171.24/171.59 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 171.24/171.59 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5992]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26259,plain,
% 171.24/171.59 ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 171.24/171.59 | c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26258]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5990,plain,
% 171.24/171.59 ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 171.24/171.59 | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11395_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26254,plain,
% 171.24/171.59 ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 171.24/171.59 | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5990]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5988,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 171.24/171.59 | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11396_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26250,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 171.24/171.59 | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5988]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5982,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 171.24/171.59 | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 171.24/171.59 | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11398_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26238,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 171.24/171.59 | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 171.24/171.59 | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5982]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5980,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 171.24/171.59 | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11399_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26234,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 171.24/171.59 | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5980]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5977,plain,
% 171.24/171.59 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 171.24/171.59 | X3 = X4
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11400_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26228,plain,
% 171.24/171.59 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 171.24/171.59 | X3 = X4
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5977]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26229,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2))
% 171.24/171.59 | X0 = X3 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26228]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5975,plain,
% 171.24/171.59 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 171.24/171.59 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11401_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26224,plain,
% 171.24/171.59 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 171.24/171.59 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5975]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26225,plain,
% 171.24/171.59 ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 171.24/171.59 | c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26224]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5973,plain,
% 171.24/171.59 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 171.24/171.59 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11402_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26220,plain,
% 171.24/171.59 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 171.24/171.59 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5973]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26221,plain,
% 171.24/171.59 ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 171.24/171.59 | c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26220]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5971,plain,
% 171.24/171.59 ( c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 171.24/171.59 | ~ c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11403_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26216,plain,
% 171.24/171.59 ( c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 171.24/171.59 | ~ c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5971]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26217,plain,
% 171.24/171.59 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 171.24/171.59 | c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26216]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5969,plain,
% 171.24/171.59 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 171.24/171.59 | 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)
% 171.24/171.59 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11404_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26212,plain,
% 171.24/171.59 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 171.24/171.59 | 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)
% 171.24/171.59 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5969]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26213,plain,
% 171.24/171.59 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 171.24/171.59 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 171.24/171.59 | 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) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26212]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5966,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 171.24/171.59 | ~ c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11405_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26206,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 171.24/171.59 | ~ c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5966]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26207,plain,
% 171.24/171.59 ( ~ c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 171.24/171.59 | c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26206]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5964,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 171.24/171.59 | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11408_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26202,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 171.24/171.59 | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5964]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5955,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11411_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26184,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5955]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26185,plain,
% 171.24/171.59 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | 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) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26184]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5949,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11413_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26172,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5949]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26173,plain,
% 171.24/171.59 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.24/171.59 | 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) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26172]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5947,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 171.24/171.59 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11415_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26168,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 171.24/171.59 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5947]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5942,plain,
% 171.24/171.59 ( c_Pair(c_Main_OconverseE__2(X0,X1,X2,X3),c_Main_OconverseE__1(X0,X1,X2,X3),X3,X2) = X1
% 171.24/171.59 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11417_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26158,plain,
% 171.24/171.59 ( c_Pair(c_Main_OconverseE__2(X0,X1,X2,X3),c_Main_OconverseE__1(X0,X1,X2,X3),X3,X2) = X1
% 171.24/171.59 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5942]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26159,plain,
% 171.24/171.59 ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 171.24/171.59 | c_Pair(c_Main_OconverseE__2(X1,X0,X2,X3),c_Main_OconverseE__1(X1,X0,X2,X3),X3,X2) = X0 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26158]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5940,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 171.24/171.59 | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11419_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26154,plain,
% 171.24/171.59 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 171.24/171.59 | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5940]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5937,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.59 | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11420_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26148,plain,
% 171.24/171.59 ( 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)))
% 171.24/171.59 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 171.24/171.59 | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5937]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5931,plain,
% 171.24/171.59 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 171.24/171.59 | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) != c_Datatype_Ooption_ONone
% 171.24/171.59 | ~ c_in(X4,c_List_Oset(X0,X1),X1) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11422_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26136,plain,
% 171.24/171.59 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 171.24/171.59 | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) != c_Datatype_Ooption_ONone
% 171.24/171.59 | ~ c_in(X4,c_List_Oset(X0,X1),X1) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5931]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26137,plain,
% 171.24/171.59 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 171.24/171.59 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 171.24/171.59 | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) != c_Datatype_Ooption_ONone ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26136]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5929,plain,
% 171.24/171.59 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 171.24/171.59 | 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))
% 171.24/171.59 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11423_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26132,plain,
% 171.24/171.59 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 171.24/171.59 | 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))
% 171.24/171.59 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5929]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26133,plain,
% 171.24/171.59 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 171.24/171.59 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 171.24/171.59 | 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)) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26132]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5926,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11424_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26126,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5926]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26127,plain,
% 171.24/171.59 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | 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) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26126]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5924,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11425_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26122,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5924]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26123,plain,
% 171.24/171.59 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | 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) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26122]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5921,plain,
% 171.24/171.59 ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 171.24/171.59 | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 171.24/171.59 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11429_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26116,plain,
% 171.24/171.59 ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 171.24/171.59 | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 171.24/171.59 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5921]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5919,plain,
% 171.24/171.59 ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X1,X4,X3) = c_List_Olist__update(X0,X1,X4,X3)
% 171.24/171.59 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11434_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26112,plain,
% 171.24/171.59 ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X1,X4,X3) = c_List_Olist__update(X0,X1,X4,X3)
% 171.24/171.59 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5919]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26113,plain,
% 171.24/171.59 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 171.24/171.59 | c_List_Olist__update(c_List_Olist__update(X1,X0,X3,X2),X0,X4,X2) = c_List_Olist__update(X1,X0,X4,X2) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26112]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5917,plain,
% 171.24/171.59 ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11435_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26108,plain,
% 171.24/171.59 ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5917]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26109,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0 ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26108]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5914,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11436_2) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26102,plain,
% 171.24/171.59 ( 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)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5914]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26103,plain,
% 171.24/171.59 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.59 | 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) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26102]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5912,plain,
% 171.24/171.59 ( c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 171.24/171.59 | ~ c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11437_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26098,plain,
% 171.24/171.59 ( c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 171.24/171.59 | ~ c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5912]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26099,plain,
% 171.24/171.59 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 171.24/171.59 | c_in(X1,c_Relation_ORange(X4,X2,X3),X3) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26098]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5910,plain,
% 171.24/171.59 ( c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 171.24/171.59 | ~ c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11438_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26094,plain,
% 171.24/171.59 ( c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 171.24/171.59 | ~ c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5910]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26095,plain,
% 171.24/171.59 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 171.24/171.59 | c_in(X0,c_Relation_ODomain(X4,X2,X3),X2) ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26094]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5880,plain,
% 171.24/171.59 ( X0 = c_List_Olist_ONil
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11445_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26034,plain,
% 171.24/171.59 ( X0 = c_List_Olist_ONil
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5880]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26035,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | X0 = c_List_Olist_ONil ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26034]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5878,plain,
% 171.24/171.59 ( X0 = c_List_Olist_ONil
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11446_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26030,plain,
% 171.24/171.59 ( X0 = c_List_Olist_ONil
% 171.24/171.59 | ~ 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))) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5878]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_26031,plain,
% 171.24/171.59 ( ~ 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)))
% 171.24/171.59 | X0 = c_List_Olist_ONil ),
% 171.24/171.59 inference(rewriting,[status(thm)],[c_26030]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5842,plain,
% 171.24/171.59 ( c_less(X0,X1,tc_nat)
% 171.24/171.59 | ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 171.24/171.59 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11456_1) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_25958,plain,
% 171.24/171.59 ( c_less(X0,X1,tc_nat)
% 171.24/171.59 | ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 171.24/171.59 inference(copy,[status(esa)],[c_5842]) ).
% 171.24/171.59
% 171.24/171.59 cnf(c_5840,plain,
% 171.24/171.59 ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 171.24/171.60 | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11459_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25954,plain,
% 171.24/171.60 ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 171.24/171.60 | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5840]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25955,plain,
% 171.24/171.60 ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 171.24/171.60 | ~ c_in(c_Pair(X2,X2,X1,X1),X0,tc_prod(X1,X1)) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25954]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5838,plain,
% 171.24/171.60 ( 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
% 171.24/171.60 | ~ 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) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11460_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25950,plain,
% 171.24/171.60 ( 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
% 171.24/171.60 | ~ 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) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5838]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25951,plain,
% 171.24/171.60 ( ~ 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)
% 171.24/171.60 | 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 ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25950]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5836,plain,
% 171.24/171.60 ( X0 = X1 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11461_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25946,plain,
% 171.24/171.60 ( X0 = X1 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5836]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25947,plain,
% 171.24/171.60 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) | X0 = X1 ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25946]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5834,plain,
% 171.24/171.60 ( 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)))
% 171.24/171.60 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11463_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25942,plain,
% 171.24/171.60 ( 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)))
% 171.24/171.60 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5834]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5832,plain,
% 171.24/171.60 ( 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)))
% 171.24/171.60 | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11464_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25938,plain,
% 171.24/171.60 ( 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)))
% 171.24/171.60 | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5832]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5827,plain,
% 171.24/171.60 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.60 | ~ c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11469_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25928,plain,
% 171.24/171.60 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 171.24/171.60 | ~ c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5827]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25929,plain,
% 171.24/171.60 ( ~ c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 171.24/171.60 | c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25928]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5825,plain,
% 171.24/171.60 ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11472_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25924,plain,
% 171.24/171.60 ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5825]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25925,plain,
% 171.24/171.60 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25924]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5823,plain,
% 171.24/171.60 ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11473_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25920,plain,
% 171.24/171.60 ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5823]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25921,plain,
% 171.24/171.60 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25920]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5821,plain,
% 171.24/171.60 ( X0 = X1
% 171.24/171.60 | c_Datatype__Universe_OScons(X2,X0,X3,X4) != c_Datatype__Universe_OScons(X5,X1,X3,X4) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11474_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25916,plain,
% 171.24/171.60 ( X0 = X1
% 171.24/171.60 | c_Datatype__Universe_OScons(X2,X0,X3,X4) != c_Datatype__Universe_OScons(X5,X1,X3,X4) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5821]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25917,plain,
% 171.24/171.60 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 171.24/171.60 | X1 = X5 ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25916]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5819,plain,
% 171.24/171.60 ( X0 = X1
% 171.24/171.60 | c_Datatype__Universe_OScons(X0,X2,X3,X4) != c_Datatype__Universe_OScons(X1,X5,X3,X4) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11475_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25912,plain,
% 171.24/171.60 ( X0 = X1
% 171.24/171.60 | c_Datatype__Universe_OScons(X0,X2,X3,X4) != c_Datatype__Universe_OScons(X1,X5,X3,X4) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5819]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25913,plain,
% 171.24/171.60 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 171.24/171.60 | X0 = X4 ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25912]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5721,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | 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 ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11492_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25716,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | 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 ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5721]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5719,plain,
% 171.24/171.60 ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 171.24/171.60 | ~ c_in(X0,X4,X1) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11494_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25712,plain,
% 171.24/171.60 ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 171.24/171.60 | ~ c_in(X0,X4,X1) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5719]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5717,plain,
% 171.24/171.60 ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 171.24/171.60 | ~ c_in(X0,X3,X1) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11495_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25708,plain,
% 171.24/171.60 ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 171.24/171.60 | ~ c_in(X0,X3,X1) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5717]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5611,plain,
% 171.24/171.60 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 171.24/171.60 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11516_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25496,plain,
% 171.24/171.60 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 171.24/171.60 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5611]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25497,plain,
% 171.24/171.60 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 171.24/171.60 | c_List_Onth(c_List_Olist__update(X1,X0,X3,X2),X0,X2) = X3 ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25496]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5609,plain,
% 171.24/171.60 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 171.24/171.60 | ~ c_in(X0,X2,X1) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11517_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25492,plain,
% 171.24/171.60 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 171.24/171.60 | ~ c_in(X0,X2,X1) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5609]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5607,plain,
% 171.24/171.60 ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 171.24/171.60 | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11518_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25488,plain,
% 171.24/171.60 ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 171.24/171.60 | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5607]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5605,plain,
% 171.24/171.60 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.24/171.60 | 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) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11519_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25484,plain,
% 171.24/171.60 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.24/171.60 | 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) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5605]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5603,plain,
% 171.24/171.60 ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 171.24/171.60 | ~ c_less(X0,X1,tc_nat) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11520_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25480,plain,
% 171.24/171.60 ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 171.24/171.60 | ~ c_less(X0,X1,tc_nat) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5603]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25481,plain,
% 171.24/171.60 ( ~ c_less(X0,X1,tc_nat)
% 171.24/171.60 | c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25480]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5601,plain,
% 171.24/171.60 ( 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
% 171.24/171.60 | 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 ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11521_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25476,plain,
% 171.24/171.60 ( 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
% 171.24/171.60 | 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 ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5601]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5599,plain,
% 171.24/171.60 ( c_Pair(c_Main_OdiagE__1(X0,X1,X2),c_Main_OdiagE__1(X0,X1,X2),X2,X2) = X1
% 171.24/171.60 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11522_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25472,plain,
% 171.24/171.60 ( c_Pair(c_Main_OdiagE__1(X0,X1,X2),c_Main_OdiagE__1(X0,X1,X2),X2,X2) = X1
% 171.24/171.60 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5599]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25473,plain,
% 171.24/171.60 ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 171.24/171.60 | c_Pair(c_Main_OdiagE__1(X1,X0,X2),c_Main_OdiagE__1(X1,X0,X2),X2,X2) = X0 ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25472]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5597,plain,
% 171.24/171.60 ( c_List_Onth(c_List_Odrop(X0,X1,X2),X3,X2) = c_List_Onth(X1,c_plus(X0,X3,tc_nat),X2)
% 171.24/171.60 | ~ c_lessequals(c_plus(X0,X3,tc_nat),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11523_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25468,plain,
% 171.24/171.60 ( c_List_Onth(c_List_Odrop(X0,X1,X2),X3,X2) = c_List_Onth(X1,c_plus(X0,X3,tc_nat),X2)
% 171.24/171.60 | ~ c_lessequals(c_plus(X0,X3,tc_nat),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5597]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25469,plain,
% 171.24/171.60 ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 171.24/171.60 | c_List_Onth(c_List_Odrop(X0,X2,X3),X1,X3) = c_List_Onth(X2,c_plus(X0,X1,tc_nat),X3) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25468]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5593,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | ~ c_less(c_0,X1,tc_nat) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11526_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25460,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | ~ c_less(c_0,X1,tc_nat) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5593]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25461,plain,
% 171.24/171.60 ( ~ c_less(c_0,X0,tc_nat)
% 171.24/171.60 | 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) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25460]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5591,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | ~ c_less(c_0,X2,tc_nat) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11527_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25456,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | ~ c_less(c_0,X2,tc_nat) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5591]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25457,plain,
% 171.24/171.60 ( ~ c_less(c_0,X0,tc_nat)
% 171.24/171.60 | 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) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25456]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5588,plain,
% 171.24/171.60 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 171.24/171.60 | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 171.24/171.60 | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11531_2) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25450,plain,
% 171.24/171.60 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 171.24/171.60 | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 171.24/171.60 | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5588]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5585,plain,
% 171.24/171.60 ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 171.24/171.60 | ~ c_Relation_Otrans(X0,X2)
% 171.24/171.60 | ~ c_Relation_Otrans(X1,X3) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11532_2) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25444,plain,
% 171.24/171.60 ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 171.24/171.60 | ~ c_Relation_Otrans(X0,X2)
% 171.24/171.60 | ~ c_Relation_Otrans(X1,X3) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5585]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5583,plain,
% 171.24/171.60 ( c_insert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))
% 171.24/171.60 | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11533_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25440,plain,
% 171.24/171.60 ( c_insert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(c_insert(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg))
% 171.24/171.60 | ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5583]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25441,plain,
% 171.24/171.60 ( ~ c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.24/171.60 | c_insert(c_Message_Omsg_OCrypt(X0,X2),c_Message_Oanalz(c_insert(X2,X1,tc_Message_Omsg)),tc_Message_Omsg) = c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25440]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5463,plain,
% 171.24/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.60 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 171.24/171.60 | c_lessequals(X2,X4,X0)
% 171.24/171.60 | c_lessequals(X2,X1,X0) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11559_0) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25200,plain,
% 171.24/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.60 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 171.24/171.60 | c_lessequals(X2,X4,X0)
% 171.24/171.60 | c_lessequals(X2,X1,X0) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5463]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5460,plain,
% 171.24/171.60 ( c_lessequals(X0,X1,X2)
% 171.24/171.60 | c_lessequals(X0,X3,X2)
% 171.24/171.60 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X4,X3,X2),tc_set(X2))
% 171.24/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11559_3) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25194,plain,
% 171.24/171.60 ( c_lessequals(X0,X1,X2)
% 171.24/171.60 | c_lessequals(X0,X3,X2)
% 171.24/171.60 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X4,X3,X2),tc_set(X2))
% 171.24/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5460]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25195,plain,
% 171.24/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.60 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 171.24/171.60 | c_lessequals(X2,X1,X0)
% 171.24/171.60 | c_lessequals(X2,X4,X0) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25194]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5459,plain,
% 171.24/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.60 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 171.24/171.60 | c_lessequals(X3,X1,X0)
% 171.24/171.60 | c_lessequals(X2,X1,X0) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11560_0) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25192,plain,
% 171.24/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.60 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 171.24/171.60 | c_lessequals(X3,X1,X0)
% 171.24/171.60 | c_lessequals(X2,X1,X0) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5459]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5456,plain,
% 171.24/171.60 ( c_lessequals(X0,X1,X2)
% 171.24/171.60 | c_lessequals(X3,X1,X2)
% 171.24/171.60 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 171.24/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11560_3) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25186,plain,
% 171.24/171.60 ( c_lessequals(X0,X1,X2)
% 171.24/171.60 | c_lessequals(X3,X1,X2)
% 171.24/171.60 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 171.24/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5456]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25187,plain,
% 171.24/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.24/171.60 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 171.24/171.60 | c_lessequals(X2,X1,X0)
% 171.24/171.60 | c_lessequals(X3,X1,X0) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25186]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5428,plain,
% 171.24/171.60 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 171.24/171.60 | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11571_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25130,plain,
% 171.24/171.60 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 171.24/171.60 | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5428]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25131,plain,
% 171.24/171.60 ( ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X2,X3),X3),X3)
% 171.24/171.60 | c_in(X0,c_List_Oset(X1,X3),X3) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25130]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5426,plain,
% 171.24/171.60 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 171.24/171.60 | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X3,X1,X2),X2),X2) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11572_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25126,plain,
% 171.24/171.60 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 171.24/171.60 | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X3,X1,X2),X2),X2) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5426]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25127,plain,
% 171.24/171.60 ( ~ c_in(X0,c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),X3)
% 171.24/171.60 | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25126]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5425,plain,
% 171.24/171.60 ( ~ c_in(X0,c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
% 171.24/171.60 | c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
% 171.24/171.60 | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11573_0) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25124,plain,
% 171.24/171.60 ( ~ c_in(X0,c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
% 171.24/171.60 | c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
% 171.24/171.60 | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5425]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5423,plain,
% 171.24/171.60 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 171.24/171.60 | c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
% 171.24/171.60 | ~ c_in(X0,c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11573_2) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25120,plain,
% 171.24/171.60 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 171.24/171.60 | c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg)
% 171.24/171.60 | ~ c_in(X0,c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5423]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25121,plain,
% 171.24/171.60 ( ~ c_in(X0,c_Message_Oparts(c_union(X1,X2,tc_Message_Omsg)),tc_Message_Omsg)
% 171.24/171.60 | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 171.24/171.60 | c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25120]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5393,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | ~ c_lessequals(X1,X0,tc_nat) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11581_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25060,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | ~ c_lessequals(X1,X0,tc_nat) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5393]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25061,plain,
% 171.24/171.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 171.24/171.60 | 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) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25060]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5391,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | ~ c_lessequals(X1,X2,tc_nat) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11582_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25056,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | ~ c_lessequals(X1,X2,tc_nat) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5391]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25057,plain,
% 171.24/171.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 171.24/171.60 | 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) ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25056]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5389,plain,
% 171.24/171.60 ( X0 = X1
% 171.24/171.60 | 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) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11583_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25052,plain,
% 171.24/171.60 ( X0 = X1
% 171.24/171.60 | 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) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5389]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25053,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | X1 = X4 ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25052]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5387,plain,
% 171.24/171.60 ( X0 = X1
% 171.24/171.60 | 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) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11584_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25048,plain,
% 171.24/171.60 ( X0 = X1
% 171.24/171.60 | 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) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5387]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25049,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | X0 = X3 ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25048]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5385,plain,
% 171.24/171.60 ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 171.24/171.60 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11585_1) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25044,plain,
% 171.24/171.60 ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 171.24/171.60 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5385]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25045,plain,
% 171.24/171.60 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 171.24/171.60 | c_List_Olist__update(X1,X0,c_List_Onth(X1,X0,X2),X2) = X1 ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25044]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5382,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | X1 = c_Numeral_Obit_OB0
% 171.24/171.60 | c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11588_2) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25038,plain,
% 171.24/171.60 ( 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)
% 171.24/171.60 | X1 = c_Numeral_Obit_OB0
% 171.24/171.60 | c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.24/171.60 inference(copy,[status(esa)],[c_5382]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_25039,plain,
% 171.24/171.60 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.24/171.60 | 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)
% 171.24/171.60 | X2 = c_Numeral_Obit_OB0 ),
% 171.24/171.60 inference(rewriting,[status(thm)],[c_25038]) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_5331,plain,
% 171.24/171.60 ( c_less(X0,X1,X2)
% 171.24/171.60 | ~ c_less(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 171.24/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.24/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11600_2) ).
% 171.24/171.60
% 171.24/171.60 cnf(c_24936,plain,
% 171.24/171.60 ( c_less(X0,X1,X2)
% 171.24/171.60 | ~ c_less(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 171.24/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5331]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24937,plain,
% 171.36/171.60 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.36/171.60 | ~ c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 171.36/171.60 | c_less(X1,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24936]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5328,plain,
% 171.36/171.60 ( c_less(X0,X1,X2)
% 171.36/171.60 | ~ c_less(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11601_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24930,plain,
% 171.36/171.60 ( c_less(X0,X1,X2)
% 171.36/171.60 | ~ c_less(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5328]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24931,plain,
% 171.36/171.60 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.36/171.60 | ~ c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 171.36/171.60 | c_less(X2,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24930]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5325,plain,
% 171.36/171.60 ( c_lessequals(X0,X1,X2)
% 171.36/171.60 | ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11602_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24924,plain,
% 171.36/171.60 ( c_lessequals(X0,X1,X2)
% 171.36/171.60 | ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5325]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24925,plain,
% 171.36/171.60 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.36/171.60 | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 171.36/171.60 | c_lessequals(X1,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24924]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5322,plain,
% 171.36/171.60 ( c_lessequals(X0,X1,X2)
% 171.36/171.60 | ~ c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11603_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24918,plain,
% 171.36/171.60 ( c_lessequals(X0,X1,X2)
% 171.36/171.60 | ~ c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5322]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24919,plain,
% 171.36/171.60 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.36/171.60 | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 171.36/171.60 | c_lessequals(X2,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24918]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5291,plain,
% 171.36/171.60 ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11614_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24856,plain,
% 171.36/171.60 ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5291]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5289,plain,
% 171.36/171.60 ( c_less(X0,X1,tc_nat)
% 171.36/171.60 | ~ c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11615_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24852,plain,
% 171.36/171.60 ( c_less(X0,X1,tc_nat)
% 171.36/171.60 | ~ c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5289]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24853,plain,
% 171.36/171.60 ( ~ c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 171.36/171.60 | c_less(X1,X2,tc_nat) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24852]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5287,plain,
% 171.36/171.60 ( c_lessequals(X0,X1,tc_nat)
% 171.36/171.60 | ~ c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11616_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24848,plain,
% 171.36/171.60 ( c_lessequals(X0,X1,tc_nat)
% 171.36/171.60 | ~ c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5287]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24849,plain,
% 171.36/171.60 ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 171.36/171.60 | c_lessequals(X1,X2,tc_nat) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24848]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5285,plain,
% 171.36/171.60 ( c_less(X0,X1,tc_nat)
% 171.36/171.60 | ~ c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11617_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24844,plain,
% 171.36/171.60 ( c_less(X0,X1,tc_nat)
% 171.36/171.60 | ~ c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5285]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24845,plain,
% 171.36/171.60 ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 171.36/171.60 | c_less(X0,X2,tc_nat) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24844]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5283,plain,
% 171.36/171.60 ( c_less(X0,X1,tc_nat)
% 171.36/171.60 | ~ c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11618_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24840,plain,
% 171.36/171.60 ( c_less(X0,X1,tc_nat)
% 171.36/171.60 | ~ c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5283]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24841,plain,
% 171.36/171.60 ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 171.36/171.60 | c_less(X1,X2,tc_nat) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24840]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5281,plain,
% 171.36/171.60 ( c_less(c_0,X0,tc_nat)
% 171.36/171.60 | ~ c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11621_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24836,plain,
% 171.36/171.60 ( c_less(c_0,X0,tc_nat)
% 171.36/171.60 | ~ c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5281]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5279,plain,
% 171.36/171.60 ( c_less(c_0,X0,tc_nat)
% 171.36/171.60 | ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11622_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24832,plain,
% 171.36/171.60 ( c_less(c_0,X0,tc_nat)
% 171.36/171.60 | ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5279]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5251,plain,
% 171.36/171.60 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 171.36/171.60 | ~ c_lessequals(X3,X0,X2)
% 171.36/171.60 | ~ c_lessequals(X1,X4,X2)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11628_3) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24776,plain,
% 171.36/171.60 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 171.36/171.60 | ~ c_lessequals(X3,X0,X2)
% 171.36/171.60 | ~ c_lessequals(X1,X4,X2)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5251]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24777,plain,
% 171.36/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.60 | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 171.36/171.60 | ~ c_lessequals(X3,X1,X0)
% 171.36/171.60 | ~ c_lessequals(X2,X4,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24776]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5248,plain,
% 171.36/171.60 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 171.36/171.60 | ~ 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)
% 171.36/171.60 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11629_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24770,plain,
% 171.36/171.60 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 171.36/171.60 | ~ 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)
% 171.36/171.60 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5248]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24771,plain,
% 171.36/171.60 ( ~ class_Numeral_Onumber__ring(X0)
% 171.36/171.60 | ~ 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)
% 171.36/171.60 | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24770]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5246,plain,
% 171.36/171.60 ( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 171.36/171.60 | ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11630_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24766,plain,
% 171.36/171.60 ( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 171.36/171.60 | ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5246]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24767,plain,
% 171.36/171.60 ( ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 171.36/171.60 | c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24766]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5234,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ c_in(X0,c_List_Oset(X3,X2),X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11634_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24742,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ c_in(X0,c_List_Oset(X3,X2),X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5234]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24743,plain,
% 171.36/171.60 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 171.36/171.60 | 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) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24742]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5228,plain,
% 171.36/171.60 ( c_List_Otake(X0,c_List_Oupt(X1,X2),tc_nat) = c_List_Oupt(X1,c_plus(X1,X0,tc_nat))
% 171.36/171.60 | ~ c_lessequals(c_plus(X1,X0,tc_nat),X2,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11636_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24730,plain,
% 171.36/171.60 ( c_List_Otake(X0,c_List_Oupt(X1,X2),tc_nat) = c_List_Oupt(X1,c_plus(X1,X0,tc_nat))
% 171.36/171.60 | ~ c_lessequals(c_plus(X1,X0,tc_nat),X2,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5228]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24731,plain,
% 171.36/171.60 ( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 171.36/171.60 | c_List_Otake(X1,c_List_Oupt(X0,X2),tc_nat) = c_List_Oupt(X0,c_plus(X0,X1,tc_nat)) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24730]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5136,plain,
% 171.36/171.60 ( c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0
% 171.36/171.60 | ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1)) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11659_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24546,plain,
% 171.36/171.60 ( c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0
% 171.36/171.60 | ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1)) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5136]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24547,plain,
% 171.36/171.60 ( ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1))
% 171.36/171.60 | c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0 ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24546]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5133,plain,
% 171.36/171.60 ( c_minus(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X0,X3,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X3,X1,X2)
% 171.36/171.60 | ~ c_lessequals(X0,X3,X2)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11660_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24540,plain,
% 171.36/171.60 ( c_minus(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X0,X3,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X3,X1,X2)
% 171.36/171.60 | ~ c_lessequals(X0,X3,X2)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5133]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24541,plain,
% 171.36/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.60 | ~ c_lessequals(X1,X2,X0)
% 171.36/171.60 | c_minus(c_SetInterval_OatLeastLessThan(X1,X3,X0),c_SetInterval_OatLeastLessThan(X1,X2,X0),tc_set(X0)) = c_SetInterval_OatLeastLessThan(X2,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24540]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5130,plain,
% 171.36/171.60 ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(X0,X3,X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11664_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24534,plain,
% 171.36/171.60 ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(X0,X3,X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5130]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5124,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11670_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24522,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5124]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24523,plain,
% 171.36/171.60 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.60 | 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) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24522]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5082,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11679_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24438,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5082]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24439,plain,
% 171.36/171.60 ( ~ class_Numeral_Onumber__ring(X0)
% 171.36/171.60 | 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) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24438]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5080,plain,
% 171.36/171.60 ( 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
% 171.36/171.60 | 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 ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11680_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24434,plain,
% 171.36/171.60 ( 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
% 171.36/171.60 | 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 ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5080]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5069,plain,
% 171.36/171.60 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.36/171.60 | 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) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11683_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24412,plain,
% 171.36/171.60 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.36/171.60 | 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) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5069]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5067,plain,
% 171.36/171.60 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.36/171.60 | 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) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11684_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24408,plain,
% 171.36/171.60 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.36/171.60 | 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) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5067]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5040,plain,
% 171.36/171.60 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_minus(X0,c_minus(X2,X1,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_lessequals(X1,X2,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11690_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24354,plain,
% 171.36/171.60 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_minus(X0,c_minus(X2,X1,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_lessequals(X1,X2,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5040]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24355,plain,
% 171.36/171.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 171.36/171.60 | c_minus(c_plus(X2,X0,tc_nat),X1,tc_nat) = c_minus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24354]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5038,plain,
% 171.36/171.60 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(X0,c_minus(X1,X2,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_lessequals(X2,X1,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11691_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24350,plain,
% 171.36/171.60 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(X0,c_minus(X1,X2,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_lessequals(X2,X1,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5038]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24351,plain,
% 171.36/171.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 171.36/171.60 | c_minus(c_plus(X2,X1,tc_nat),X0,tc_nat) = c_plus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24350]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5036,plain,
% 171.36/171.60 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(c_minus(X0,X2,tc_nat),X1,tc_nat)
% 171.36/171.60 | ~ c_lessequals(X2,X0,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11692_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24346,plain,
% 171.36/171.60 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(c_minus(X0,X2,tc_nat),X1,tc_nat)
% 171.36/171.60 | ~ c_lessequals(X2,X0,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5036]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24347,plain,
% 171.36/171.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 171.36/171.60 | c_minus(c_plus(X1,X2,tc_nat),X0,tc_nat) = c_plus(c_minus(X1,X0,tc_nat),X2,tc_nat) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24346]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5029,plain,
% 171.36/171.60 ( c_div(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat) = c_div(X0,X2,tc_nat)
% 171.36/171.60 | ~ c_less(c_0,X1,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11695_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24332,plain,
% 171.36/171.60 ( c_div(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat) = c_div(X0,X2,tc_nat)
% 171.36/171.60 | ~ c_less(c_0,X1,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5029]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24333,plain,
% 171.36/171.60 ( ~ c_less(c_0,X0,tc_nat)
% 171.36/171.60 | c_div(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24332]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5027,plain,
% 171.36/171.60 ( c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat)
% 171.36/171.60 | ~ c_less(c_0,X0,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11696_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24328,plain,
% 171.36/171.60 ( c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat)
% 171.36/171.60 | ~ c_less(c_0,X0,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5027]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24329,plain,
% 171.36/171.60 ( ~ c_less(c_0,X0,tc_nat)
% 171.36/171.60 | c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24328]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5021,plain,
% 171.36/171.60 ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 171.36/171.60 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11698_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24316,plain,
% 171.36/171.60 ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 171.36/171.60 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5021]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5014,plain,
% 171.36/171.60 ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 171.36/171.60 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11701_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24302,plain,
% 171.36/171.60 ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 171.36/171.60 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5014]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24303,plain,
% 171.36/171.60 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 171.36/171.60 | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24302]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5008,plain,
% 171.36/171.60 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11703_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24290,plain,
% 171.36/171.60 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5008]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24291,plain,
% 171.36/171.60 ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.36/171.60 | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24290]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5006,plain,
% 171.36/171.60 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(c_append(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11704_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24286,plain,
% 171.36/171.60 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(c_append(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5006]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24287,plain,
% 171.36/171.60 ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.36/171.60 | c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24286]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5004,plain,
% 171.36/171.60 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(c_List_Olist_OCons(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11705_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24282,plain,
% 171.36/171.60 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(c_List_Olist_OCons(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5004]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24283,plain,
% 171.36/171.60 ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.36/171.60 | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24282]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_5002,plain,
% 171.36/171.60 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.60 | 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 ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11706_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24278,plain,
% 171.36/171.60 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.60 | 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 ),
% 171.36/171.60 inference(copy,[status(esa)],[c_5002]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4999,plain,
% 171.36/171.60 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.36/171.60 | c_less(c_0,X1,tc_nat)
% 171.36/171.60 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11707_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24272,plain,
% 171.36/171.60 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.36/171.60 | c_less(c_0,X1,tc_nat)
% 171.36/171.60 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4999]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24273,plain,
% 171.36/171.60 ( ~ c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 171.36/171.60 | c_less(c_0,X0,tc_nat)
% 171.36/171.60 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24272]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4997,plain,
% 171.36/171.60 ( c_List_Onth(c_List_Oupt(X0,X1),X2,tc_nat) = c_plus(X0,X2,tc_nat)
% 171.36/171.60 | ~ c_less(c_plus(X0,X2,tc_nat),X1,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11708_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24268,plain,
% 171.36/171.60 ( c_List_Onth(c_List_Oupt(X0,X1),X2,tc_nat) = c_plus(X0,X2,tc_nat)
% 171.36/171.60 | ~ c_less(c_plus(X0,X2,tc_nat),X1,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4997]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24269,plain,
% 171.36/171.60 ( ~ c_less(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 171.36/171.60 | c_List_Onth(c_List_Oupt(X0,X2),X1,tc_nat) = c_plus(X0,X1,tc_nat) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24268]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4995,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11709_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24264,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4995]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24265,plain,
% 171.36/171.60 ( ~ class_Numeral_Onumber__ring(X0)
% 171.36/171.60 | 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) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24264]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4993,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11710_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24260,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4993]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24261,plain,
% 171.36/171.60 ( ~ class_Numeral_Onumber__ring(X0)
% 171.36/171.60 | 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) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24260]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4967,plain,
% 171.36/171.60 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.60 | 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)
% 171.36/171.60 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11715_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24208,plain,
% 171.36/171.60 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.60 | 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)
% 171.36/171.60 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4967]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24209,plain,
% 171.36/171.60 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.60 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.60 | 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) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24208]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4959,plain,
% 171.36/171.60 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 171.36/171.60 | ~ c_lessequals(X1,X0,X2)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11717_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24192,plain,
% 171.36/171.60 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 171.36/171.60 | ~ c_lessequals(X1,X0,X2)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4959]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24193,plain,
% 171.36/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.60 | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 171.36/171.60 | ~ c_lessequals(X2,X1,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24192]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4954,plain,
% 171.36/171.60 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.36/171.60 | ~ c_less(X0,c_0,X1)
% 171.36/171.60 | ~ c_less(X2,c_0,X1)
% 171.36/171.60 | ~ c_less(X2,X0,X1)
% 171.36/171.60 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11718_4) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24182,plain,
% 171.36/171.60 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.36/171.60 | ~ c_less(X0,c_0,X1)
% 171.36/171.60 | ~ c_less(X2,c_0,X1)
% 171.36/171.60 | ~ c_less(X2,X0,X1)
% 171.36/171.60 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4954]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4944,plain,
% 171.36/171.60 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.36/171.60 | ~ c_lessequals(X2,X0,X1)
% 171.36/171.60 | ~ c_less(X0,c_0,X1)
% 171.36/171.60 | ~ c_less(X2,c_0,X1)
% 171.36/171.60 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11720_4) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24162,plain,
% 171.36/171.60 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.36/171.60 | ~ c_lessequals(X2,X0,X1)
% 171.36/171.60 | ~ c_less(X0,c_0,X1)
% 171.36/171.60 | ~ c_less(X2,c_0,X1)
% 171.36/171.60 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4944]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4939,plain,
% 171.36/171.60 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.36/171.60 | ~ c_lessequals(X2,X0,X1)
% 171.36/171.60 | ~ c_less(c_0,X0,X1)
% 171.36/171.60 | ~ c_less(c_0,X2,X1)
% 171.36/171.60 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11721_4) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24152,plain,
% 171.36/171.60 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 171.36/171.60 | ~ c_lessequals(X2,X0,X1)
% 171.36/171.60 | ~ c_less(c_0,X0,X1)
% 171.36/171.60 | ~ c_less(c_0,X2,X1)
% 171.36/171.60 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4939]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4937,plain,
% 171.36/171.60 ( c_insert(X0,X1,X2) = c_insert(X0,c_emptyset,X2)
% 171.36/171.60 | ~ c_lessequals(X1,c_insert(X0,c_emptyset,X2),tc_set(X2)) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11722_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24148,plain,
% 171.36/171.60 ( c_insert(X0,X1,X2) = c_insert(X0,c_emptyset,X2)
% 171.36/171.60 | ~ c_lessequals(X1,c_insert(X0,c_emptyset,X2),tc_set(X2)) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4937]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24149,plain,
% 171.36/171.60 ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 171.36/171.60 | c_insert(X1,X0,X2) = c_insert(X1,c_emptyset,X2) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24148]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4935,plain,
% 171.36/171.60 ( c_insert(X0,c_emptyset,X1) = c_insert(X0,X2,X1)
% 171.36/171.60 | ~ c_lessequals(X2,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11723_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24144,plain,
% 171.36/171.60 ( c_insert(X0,c_emptyset,X1) = c_insert(X0,X2,X1)
% 171.36/171.60 | ~ c_lessequals(X2,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4935]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24145,plain,
% 171.36/171.60 ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 171.36/171.60 | c_insert(X1,c_emptyset,X2) = c_insert(X1,X0,X2) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24144]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4930,plain,
% 171.36/171.60 ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11725_0) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24134,plain,
% 171.36/171.60 ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4930]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4928,plain,
% 171.36/171.60 ( c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_in(X0,c_union(X1,X3,X2),X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11725_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24130,plain,
% 171.36/171.60 ( c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_in(X0,c_union(X1,X3,X2),X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4928]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24131,plain,
% 171.36/171.60 ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X1,X3) | c_in(X0,X2,X3) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24130]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4925,plain,
% 171.36/171.60 ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 171.36/171.60 | ~ c_less(X0,X3,X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11726_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24124,plain,
% 171.36/171.60 ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 171.36/171.60 | ~ c_less(X0,X3,X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4925]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24125,plain,
% 171.36/171.60 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.36/171.60 | c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 171.36/171.60 | ~ c_less(X1,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24124]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4922,plain,
% 171.36/171.60 ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 171.36/171.60 | ~ c_less(X1,X3,X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11727_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24118,plain,
% 171.36/171.60 ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 171.36/171.60 | ~ c_less(X1,X3,X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4922]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24119,plain,
% 171.36/171.60 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.36/171.60 | c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 171.36/171.60 | ~ c_less(X2,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24118]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4919,plain,
% 171.36/171.60 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 171.36/171.60 | ~ c_lessequals(X0,X3,X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11728_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24112,plain,
% 171.36/171.60 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 171.36/171.60 | ~ c_lessequals(X0,X3,X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4919]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24113,plain,
% 171.36/171.60 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.36/171.60 | c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 171.36/171.60 | ~ c_lessequals(X1,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24112]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4916,plain,
% 171.36/171.60 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 171.36/171.60 | ~ c_lessequals(X1,X3,X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11729_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24106,plain,
% 171.36/171.60 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 171.36/171.60 | ~ c_lessequals(X1,X3,X2)
% 171.36/171.60 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4916]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24107,plain,
% 171.36/171.60 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.36/171.60 | c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 171.36/171.60 | ~ c_lessequals(X2,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24106]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4913,plain,
% 171.36/171.60 ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 171.36/171.60 | ~ c_lessequals(X0,X3,tc_set(X2))
% 171.36/171.60 | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11730_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24100,plain,
% 171.36/171.60 ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 171.36/171.60 | ~ c_lessequals(X0,X3,tc_set(X2))
% 171.36/171.60 | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4913]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4910,plain,
% 171.36/171.60 ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 171.36/171.60 | ~ c_lessequals(X0,X1,tc_set(X3))
% 171.36/171.60 | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11731_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24094,plain,
% 171.36/171.60 ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 171.36/171.60 | ~ c_lessequals(X0,X1,tc_set(X3))
% 171.36/171.60 | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4910]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4908,plain,
% 171.36/171.60 ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11732_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24090,plain,
% 171.36/171.60 ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4908]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4906,plain,
% 171.36/171.60 ( c_in(X0,X1,X2)
% 171.36/171.60 | ~ c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11733_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24086,plain,
% 171.36/171.60 ( c_in(X0,X1,X2)
% 171.36/171.60 | ~ c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4906]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24087,plain,
% 171.36/171.60 ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 171.36/171.60 | c_in(X0,X3,X2) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24086]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4899,plain,
% 171.36/171.60 ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 171.36/171.60 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 171.36/171.60 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11737_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24072,plain,
% 171.36/171.60 ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 171.36/171.60 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 171.36/171.60 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4899]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4890,plain,
% 171.36/171.60 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.60 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11739_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24054,plain,
% 171.36/171.60 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.60 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4890]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4887,plain,
% 171.36/171.60 ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 171.36/171.60 | ~ c_lessequals(X1,X3,tc_set(X2))
% 171.36/171.60 | ~ c_in(X0,X3,X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11740_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24048,plain,
% 171.36/171.60 ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 171.36/171.60 | ~ c_lessequals(X1,X3,tc_set(X2))
% 171.36/171.60 | ~ c_in(X0,X3,X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4887]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4884,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ class_Power_Orecpower(X1)
% 171.36/171.60 | ~ class_Numeral_Onumber(X1) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11741_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24042,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ class_Power_Orecpower(X1)
% 171.36/171.60 | ~ class_Numeral_Onumber(X1) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4884]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24043,plain,
% 171.36/171.60 ( ~ class_Numeral_Onumber(X0)
% 171.36/171.60 | ~ class_Power_Orecpower(X0)
% 171.36/171.60 | 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) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24042]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4883,plain,
% 171.36/171.60 ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 171.36/171.60 | c_less(c_0,X1,tc_nat)
% 171.36/171.60 | c_less(c_0,X0,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11742_0) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24040,plain,
% 171.36/171.60 ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 171.36/171.60 | c_less(c_0,X1,tc_nat)
% 171.36/171.60 | c_less(c_0,X0,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4883]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4881,plain,
% 171.36/171.60 ( c_less(c_0,X0,tc_nat)
% 171.36/171.60 | c_less(c_0,X1,tc_nat)
% 171.36/171.60 | ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11742_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24036,plain,
% 171.36/171.60 ( c_less(c_0,X0,tc_nat)
% 171.36/171.60 | c_less(c_0,X1,tc_nat)
% 171.36/171.60 | ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4881]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_24037,plain,
% 171.36/171.60 ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 171.36/171.60 | c_less(c_0,X0,tc_nat)
% 171.36/171.60 | c_less(c_0,X1,tc_nat) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_24036]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4839,plain,
% 171.36/171.60 ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_less(X1,X2,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11751_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23952,plain,
% 171.36/171.60 ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_less(X1,X2,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4839]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4837,plain,
% 171.36/171.60 ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_lessequals(X1,X2,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11752_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23948,plain,
% 171.36/171.60 ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_lessequals(X1,X2,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4837]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4835,plain,
% 171.36/171.60 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_lessequals(X0,X2,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11753_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23944,plain,
% 171.36/171.60 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_lessequals(X0,X2,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4835]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4833,plain,
% 171.36/171.60 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_lessequals(X1,X2,tc_nat) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11754_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23940,plain,
% 171.36/171.60 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 171.36/171.60 | ~ c_lessequals(X1,X2,tc_nat) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4833]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4811,plain,
% 171.36/171.60 ( ~ class_Orderings_Oord(X0)
% 171.36/171.60 | ~ c_less(X1,X2,X0)
% 171.36/171.60 | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0)
% 171.36/171.60 | ~ c_less(X3,X1,X0) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11759_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23896,plain,
% 171.36/171.60 ( ~ class_Orderings_Oord(X0)
% 171.36/171.60 | ~ c_less(X1,X2,X0)
% 171.36/171.60 | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0)
% 171.36/171.60 | ~ c_less(X3,X1,X0) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4811]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23897,plain,
% 171.36/171.60 ( ~ class_Orderings_Oord(X0)
% 171.36/171.60 | ~ c_less(X1,X2,X0)
% 171.36/171.60 | ~ c_less(X3,X1,X0)
% 171.36/171.60 | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23896]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4799,plain,
% 171.36/171.60 ( ~ class_Orderings_Oord(X0)
% 171.36/171.60 | ~ c_lessequals(X1,X2,X0)
% 171.36/171.60 | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0)
% 171.36/171.60 | ~ c_lessequals(X3,X1,X0) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11762_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23872,plain,
% 171.36/171.60 ( ~ class_Orderings_Oord(X0)
% 171.36/171.60 | ~ c_lessequals(X1,X2,X0)
% 171.36/171.60 | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0)
% 171.36/171.60 | ~ c_lessequals(X3,X1,X0) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4799]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23873,plain,
% 171.36/171.60 ( ~ class_Orderings_Oord(X0)
% 171.36/171.60 | ~ c_lessequals(X1,X2,X0)
% 171.36/171.60 | ~ c_lessequals(X3,X1,X0)
% 171.36/171.60 | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23872]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4793,plain,
% 171.36/171.60 ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 171.36/171.60 | ~ c_lessequals(X0,X3,X2)
% 171.36/171.60 | ~ c_lessequals(X1,X3,X2)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11763_3) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23860,plain,
% 171.36/171.60 ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 171.36/171.60 | ~ c_lessequals(X0,X3,X2)
% 171.36/171.60 | ~ c_lessequals(X1,X3,X2)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4793]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23861,plain,
% 171.36/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.60 | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 171.36/171.60 | ~ c_lessequals(X1,X3,X0)
% 171.36/171.60 | ~ c_lessequals(X2,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23860]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4789,plain,
% 171.36/171.60 ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 171.36/171.60 | ~ c_lessequals(X0,X1,X3)
% 171.36/171.60 | ~ c_lessequals(X0,X2,X3)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X3) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11764_3) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23852,plain,
% 171.36/171.60 ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 171.36/171.60 | ~ c_lessequals(X0,X1,X3)
% 171.36/171.60 | ~ c_lessequals(X0,X2,X3)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X3) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4789]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23853,plain,
% 171.36/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.60 | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 171.36/171.60 | ~ c_lessequals(X1,X2,X0)
% 171.36/171.60 | ~ c_lessequals(X1,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23852]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4785,plain,
% 171.36/171.60 ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 171.36/171.60 | ~ c_less(X0,X1,X3)
% 171.36/171.60 | ~ c_less(X0,X2,X3)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X3) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11765_3) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23844,plain,
% 171.36/171.60 ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 171.36/171.60 | ~ c_less(X0,X1,X3)
% 171.36/171.60 | ~ c_less(X0,X2,X3)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X3) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4785]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23845,plain,
% 171.36/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.60 | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 171.36/171.60 | ~ c_less(X1,X2,X0)
% 171.36/171.60 | ~ c_less(X1,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23844]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4781,plain,
% 171.36/171.60 ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 171.36/171.60 | ~ c_less(X0,X3,X2)
% 171.36/171.60 | ~ c_less(X1,X3,X2)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11766_3) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23836,plain,
% 171.36/171.60 ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 171.36/171.60 | ~ c_less(X0,X3,X2)
% 171.36/171.60 | ~ c_less(X1,X3,X2)
% 171.36/171.60 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4781]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23837,plain,
% 171.36/171.60 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.60 | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 171.36/171.60 | ~ c_less(X1,X3,X0)
% 171.36/171.60 | ~ c_less(X2,X3,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23836]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4779,plain,
% 171.36/171.60 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(c_Main_Oin__listsI__1(X1,X0,X2),X1,X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11767_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23832,plain,
% 171.36/171.60 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.36/171.60 | ~ c_in(c_Main_Oin__listsI__1(X1,X0,X2),X1,X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4779]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23833,plain,
% 171.36/171.60 ( ~ c_in(c_Main_Oin__listsI__1(X0,X1,X2),X0,X2)
% 171.36/171.60 | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23832]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4775,plain,
% 171.36/171.60 ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset | ~ c_in(X0,X3,X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11769_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23824,plain,
% 171.36/171.60 ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset | ~ c_in(X0,X3,X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4775]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23825,plain,
% 171.36/171.60 ( ~ c_in(X0,X1,X2) | c_inter(c_insert(X0,X3,X2),X1,X2) != c_emptyset ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23824]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4771,plain,
% 171.36/171.60 ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset | ~ c_in(X1,X0,X3) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11771_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23816,plain,
% 171.36/171.60 ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset | ~ c_in(X1,X0,X3) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4771]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23817,plain,
% 171.36/171.60 ( ~ c_in(X0,X1,X2) | c_inter(X1,c_insert(X0,X3,X2),X2) != c_emptyset ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23816]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4748,plain,
% 171.36/171.60 ( c_divide(c_times(X0,X1,X2),c_times(X3,X1,X2),X2) = c_divide(X0,X3,X2)
% 171.36/171.60 | X1 = c_0
% 171.36/171.60 | ~ class_Ring__and__Field_Ofield(X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11776_3) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23770,plain,
% 171.36/171.60 ( c_divide(c_times(X0,X1,X2),c_times(X3,X1,X2),X2) = c_divide(X0,X3,X2)
% 171.36/171.60 | X1 = c_0
% 171.36/171.60 | ~ class_Ring__and__Field_Ofield(X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4748]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23771,plain,
% 171.36/171.60 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.36/171.60 | ~ class_Ring__and__Field_Ofield(X0)
% 171.36/171.60 | c_divide(c_times(X1,X2,X0),c_times(X3,X2,X0),X0) = c_divide(X1,X3,X0)
% 171.36/171.60 | X2 = c_0 ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23770]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4744,plain,
% 171.36/171.60 ( c_divide(c_times(X0,X1,X2),c_times(X0,X3,X2),X2) = c_divide(X1,X3,X2)
% 171.36/171.60 | X0 = c_0
% 171.36/171.60 | ~ class_Ring__and__Field_Ofield(X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11777_3) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23762,plain,
% 171.36/171.60 ( c_divide(c_times(X0,X1,X2),c_times(X0,X3,X2),X2) = c_divide(X1,X3,X2)
% 171.36/171.60 | X0 = c_0
% 171.36/171.60 | ~ class_Ring__and__Field_Ofield(X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4744]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23763,plain,
% 171.36/171.60 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.36/171.60 | ~ class_Ring__and__Field_Ofield(X0)
% 171.36/171.60 | c_divide(c_times(X1,X2,X0),c_times(X1,X3,X0),X0) = c_divide(X2,X3,X0)
% 171.36/171.60 | X1 = c_0 ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23762]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4742,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11778_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23758,plain,
% 171.36/171.60 ( 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)
% 171.36/171.60 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4742]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23759,plain,
% 171.36/171.60 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.36/171.60 | 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) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23758]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4739,plain,
% 171.36/171.60 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_divide(X0,c_divide(X3,X1,X2),X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ofield(X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11779_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23752,plain,
% 171.36/171.60 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_divide(X0,c_divide(X3,X1,X2),X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ofield(X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4739]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23753,plain,
% 171.36/171.60 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.36/171.60 | ~ class_Ring__and__Field_Ofield(X0)
% 171.36/171.60 | c_divide(c_times(X1,X2,X0),X3,X0) = c_divide(X1,c_divide(X3,X2,X0),X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23752]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4736,plain,
% 171.36/171.60 ( c_divide(c_divide(X0,X1,X2),X3,X2) = c_divide(X0,c_times(X1,X3,X2),X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ofield(X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11780_2) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23746,plain,
% 171.36/171.60 ( c_divide(c_divide(X0,X1,X2),X3,X2) = c_divide(X0,c_times(X1,X3,X2),X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ofield(X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4736]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23747,plain,
% 171.36/171.60 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.36/171.60 | ~ class_Ring__and__Field_Ofield(X0)
% 171.36/171.60 | c_divide(c_divide(X1,X2,X0),X3,X0) = c_divide(X1,c_times(X2,X3,X0),X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23746]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4732,plain,
% 171.36/171.60 ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 171.36/171.60 | ~ c_in(X0,c_IntDef_ONats,X2)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_ONats,X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11781_3) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23738,plain,
% 171.36/171.60 ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 171.36/171.60 | ~ c_in(X0,c_IntDef_ONats,X2)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_ONats,X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4732]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23739,plain,
% 171.36/171.60 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.36/171.60 | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_ONats,X0)
% 171.36/171.60 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23738]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4728,plain,
% 171.36/171.60 ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 171.36/171.60 | ~ c_in(X0,c_IntDef_ONats,X2)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_ONats,X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11782_3) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23730,plain,
% 171.36/171.60 ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 171.36/171.60 | ~ c_in(X0,c_IntDef_ONats,X2)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_ONats,X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4728]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23731,plain,
% 171.36/171.60 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.36/171.60 | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_ONats,X0)
% 171.36/171.60 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23730]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4724,plain,
% 171.36/171.60 ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 171.36/171.60 | ~ c_in(X0,c_IntDef_OInts,X2)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_OInts,X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11783_3) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23722,plain,
% 171.36/171.60 ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 171.36/171.60 | ~ c_in(X0,c_IntDef_OInts,X2)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_OInts,X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4724]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23723,plain,
% 171.36/171.60 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.36/171.60 | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_OInts,X0)
% 171.36/171.60 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23722]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4720,plain,
% 171.36/171.60 ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 171.36/171.60 | ~ c_in(X0,c_IntDef_OInts,X2)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_OInts,X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11784_3) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23714,plain,
% 171.36/171.60 ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 171.36/171.60 | ~ c_in(X0,c_IntDef_OInts,X2)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_OInts,X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4720]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23715,plain,
% 171.36/171.60 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.36/171.60 | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_OInts,X0)
% 171.36/171.60 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23714]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4716,plain,
% 171.36/171.60 ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 171.36/171.60 | ~ c_in(X0,c_IntDef_OInts,X2)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_OInts,X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11785_3) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23706,plain,
% 171.36/171.60 ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 171.36/171.60 | ~ c_in(X0,c_IntDef_OInts,X2)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_OInts,X2)
% 171.36/171.60 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4716]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23707,plain,
% 171.36/171.60 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.36/171.60 | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 171.36/171.60 | ~ c_in(X1,c_IntDef_OInts,X0)
% 171.36/171.60 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 171.36/171.60 inference(rewriting,[status(thm)],[c_23706]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4710,plain,
% 171.36/171.60 ( c_in(X0,c_Inter(X1,X2),X2)
% 171.36/171.60 | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11787_1) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_23694,plain,
% 171.36/171.60 ( c_in(X0,c_Inter(X1,X2),X2)
% 171.36/171.60 | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 171.36/171.60 inference(copy,[status(esa)],[c_4710]) ).
% 171.36/171.60
% 171.36/171.60 cnf(c_4708,plain,
% 171.36/171.60 ( c_in(X0,c_Inter(X1,X2),X2)
% 171.36/171.60 | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 171.36/171.60 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11788_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23690,plain,
% 171.36/171.61 ( c_in(X0,c_Inter(X1,X2),X2)
% 171.36/171.61 | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4708]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4701,plain,
% 171.36/171.61 ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11790_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23676,plain,
% 171.36/171.61 ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4701]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4699,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11791_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23672,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4699]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23673,plain,
% 171.36/171.61 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.61 | 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) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23672]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4697,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11792_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23668,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4697]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23669,plain,
% 171.36/171.61 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.61 | 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) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23668]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4695,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | ~ c_List_Odistinct(X0,X1) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11793_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23664,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | ~ c_List_Odistinct(X0,X1) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4695]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23665,plain,
% 171.36/171.61 ( ~ c_List_Odistinct(X0,X1)
% 171.36/171.61 | 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) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23664]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4693,plain,
% 171.36/171.61 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 171.36/171.61 | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11794_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23660,plain,
% 171.36/171.61 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 171.36/171.61 | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4693]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4691,plain,
% 171.36/171.61 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 171.36/171.61 | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11795_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23656,plain,
% 171.36/171.61 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 171.36/171.61 | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4691]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4688,plain,
% 171.36/171.61 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11796_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23650,plain,
% 171.36/171.61 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4688]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4686,plain,
% 171.36/171.61 ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 171.36/171.61 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11798_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23646,plain,
% 171.36/171.61 ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 171.36/171.61 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4686]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23647,plain,
% 171.36/171.61 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 171.36/171.61 | c_in(c_List_Onth(X1,X0,X2),c_List_Oset(X1,X2),X2) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23646]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4684,plain,
% 171.36/171.61 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(c_divide(X0,X3,X2),X1,X2)
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11799_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23642,plain,
% 171.36/171.61 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(c_divide(X0,X3,X2),X1,X2)
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4684]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23643,plain,
% 171.36/171.61 ( ~ class_Ring__and__Field_Ofield(X0)
% 171.36/171.61 | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(c_divide(X1,X3,X0),X2,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23642]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4682,plain,
% 171.36/171.61 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_divide(X1,X3,X2),X2)
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11800_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23638,plain,
% 171.36/171.61 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_divide(X1,X3,X2),X2)
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4682]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23639,plain,
% 171.36/171.61 ( ~ class_Ring__and__Field_Ofield(X0)
% 171.36/171.61 | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_divide(X2,X3,X0),X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23638]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4663,plain,
% 171.36/171.61 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 171.36/171.61 | ~ 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)
% 171.36/171.61 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11805_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23600,plain,
% 171.36/171.61 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 171.36/171.61 | ~ 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)
% 171.36/171.61 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4663]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23601,plain,
% 171.36/171.61 ( ~ class_Numeral_Onumber__ring(X0)
% 171.36/171.61 | ~ 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)
% 171.36/171.61 | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23600]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4661,plain,
% 171.36/171.61 ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 171.36/171.61 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11808_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23596,plain,
% 171.36/171.61 ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 171.36/171.61 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4661]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4659,plain,
% 171.36/171.61 ( c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11810_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23592,plain,
% 171.36/171.61 ( c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4659]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23593,plain,
% 171.36/171.61 ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | c_in(X0,X1,X3) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23592]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4656,plain,
% 171.36/171.61 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 171.36/171.61 | X1 = X0
% 171.36/171.61 | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 171.36/171.61 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11812_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23586,plain,
% 171.36/171.61 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 171.36/171.61 | X1 = X0
% 171.36/171.61 | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 171.36/171.61 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4656]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23587,plain,
% 171.36/171.61 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 171.36/171.61 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 171.36/171.61 | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 171.36/171.61 | X1 = X0 ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23586]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4651,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11814_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23576,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4651]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23577,plain,
% 171.36/171.61 ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 171.36/171.61 | c_lessequals(X1,X3,tc_set(X2)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23576]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4649,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11815_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23572,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4649]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23573,plain,
% 171.36/171.61 ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 171.36/171.61 | c_lessequals(X1,X3,tc_set(X2)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23572]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4647,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11816_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23568,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4647]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23569,plain,
% 171.36/171.61 ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 171.36/171.61 | c_lessequals(X0,X3,tc_set(X2)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23568]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4645,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11817_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23564,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4645]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23565,plain,
% 171.36/171.61 ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 171.36/171.61 | c_lessequals(X0,X2,tc_set(X3)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23564]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4643,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_lessequals(X0,c_inter(X1,X3,X2),tc_set(X2)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11818_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23560,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_lessequals(X0,c_inter(X1,X3,X2),tc_set(X2)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4643]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23561,plain,
% 171.36/171.61 ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 171.36/171.61 | c_lessequals(X0,X1,tc_set(X3)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23560]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4638,plain,
% 171.36/171.61 ( c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
% 171.36/171.61 | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11820_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23550,plain,
% 171.36/171.61 ( c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
% 171.36/171.61 | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X2),tc_Message_Omsg) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4638]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23551,plain,
% 171.36/171.61 ( c_in(c_Message_Omsg_OKey(c_Message_OinvKey(X0)),c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.36/171.61 | c_Message_Oanalz(c_insert(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OCrypt(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23550]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4636,plain,
% 171.36/171.61 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | ~ c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11826_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23546,plain,
% 171.36/171.61 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | ~ c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4636]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23547,plain,
% 171.36/171.61 ( ~ c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 171.36/171.61 | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23546]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4634,plain,
% 171.36/171.61 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | ~ c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11827_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23542,plain,
% 171.36/171.61 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | ~ c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4634]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23543,plain,
% 171.36/171.61 ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 171.36/171.61 | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23542]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4632,plain,
% 171.36/171.61 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | ~ c_in(c_union(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11828_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23538,plain,
% 171.36/171.61 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | ~ c_in(c_union(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4632]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23539,plain,
% 171.36/171.61 ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 171.36/171.61 | c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23538]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4630,plain,
% 171.36/171.61 ( ~ c_less(c_0,X0,tc_nat)
% 171.36/171.61 | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 171.36/171.61 | ~ c_less(c_0,X1,tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11829_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23534,plain,
% 171.36/171.61 ( ~ c_less(c_0,X0,tc_nat)
% 171.36/171.61 | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 171.36/171.61 | ~ c_less(c_0,X1,tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4630]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23535,plain,
% 171.36/171.61 ( ~ c_less(c_0,X0,tc_nat)
% 171.36/171.61 | ~ c_less(c_0,X1,tc_nat)
% 171.36/171.61 | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23534]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4620,plain,
% 171.36/171.61 ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11836_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23514,plain,
% 171.36/171.61 ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4620]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23515,plain,
% 171.36/171.61 ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23514]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4617,plain,
% 171.36/171.61 ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 171.36/171.61 | ~ c_less(c_0,X0,tc_nat)
% 171.36/171.61 | ~ c_less(c_0,X1,tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11837_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23508,plain,
% 171.36/171.61 ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 171.36/171.61 | ~ c_less(c_0,X0,tc_nat)
% 171.36/171.61 | ~ c_less(c_0,X1,tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4617]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4614,plain,
% 171.36/171.61 ( c_in(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 171.36/171.61 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11838_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23502,plain,
% 171.36/171.61 ( c_in(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 171.36/171.61 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4614]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23503,plain,
% 171.36/171.61 ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 171.36/171.61 | ~ c_in(X3,c_List_Oset(X0,X2),X2)
% 171.36/171.61 | c_in(X3,X1,X2) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23502]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4612,plain,
% 171.36/171.61 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 171.36/171.61 | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11839_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23498,plain,
% 171.36/171.61 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 171.36/171.61 | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4612]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23499,plain,
% 171.36/171.61 ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 171.36/171.61 | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23498]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4609,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X3,X1,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11840_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23492,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X3,X1,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4609]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23493,plain,
% 171.36/171.61 ( ~ class_Orderings_Oord(X0)
% 171.36/171.61 | c_less(X1,X2,X0)
% 171.36/171.61 | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23492]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4606,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X0,X3,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11841_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23486,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X0,X3,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4606]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23487,plain,
% 171.36/171.61 ( ~ class_Orderings_Oord(X0)
% 171.36/171.61 | c_less(X1,X2,X0)
% 171.36/171.61 | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X3,X0),X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23486]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4603,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X3,X1,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11842_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23480,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X3,X1,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4603]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23481,plain,
% 171.36/171.61 ( ~ class_Orderings_Oord(X0)
% 171.36/171.61 | c_lessequals(X1,X2,X0)
% 171.36/171.61 | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X3,X2,X0),X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23480]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4600,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X0,X3,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11843_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23474,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X0,X3,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4600]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23475,plain,
% 171.36/171.61 ( ~ class_Orderings_Oord(X0)
% 171.36/171.61 | c_less(X1,X2,X0)
% 171.36/171.61 | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X3,X0),X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23474]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4597,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X0,c_SetInterval_OatLeastLessThan(X3,X1,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11844_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23468,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X0,c_SetInterval_OatLeastLessThan(X3,X1,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4597]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23469,plain,
% 171.36/171.61 ( ~ class_Orderings_Oord(X0)
% 171.36/171.61 | c_less(X1,X2,X0)
% 171.36/171.61 | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X3,X2,X0),X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23468]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4594,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X0,X3,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11845_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23462,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X0,X3,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4594]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23463,plain,
% 171.36/171.61 ( ~ class_Orderings_Oord(X0)
% 171.36/171.61 | c_lessequals(X1,X2,X0)
% 171.36/171.61 | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X1,X3,X0),X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23462]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4591,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X0,c_SetInterval_OatLeastAtMost(X3,X1,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11846_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23456,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X0,c_SetInterval_OatLeastAtMost(X3,X1,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4591]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23457,plain,
% 171.36/171.61 ( ~ class_Orderings_Oord(X0)
% 171.36/171.61 | c_lessequals(X1,X2,X0)
% 171.36/171.61 | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23456]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4588,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X0,X3,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11847_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23450,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X0,X3,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Oord(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4588]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23451,plain,
% 171.36/171.61 ( ~ class_Orderings_Oord(X0)
% 171.36/171.61 | c_lessequals(X1,X2,X0)
% 171.36/171.61 | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X1,X3,X0),X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23450]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4585,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11848_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23444,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4585]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23445,plain,
% 171.36/171.61 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.61 | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 171.36/171.61 | c_lessequals(X2,X3,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23444]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4582,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_lessequals(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11849_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23438,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_lessequals(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4582]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23439,plain,
% 171.36/171.61 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.61 | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 171.36/171.61 | c_lessequals(X1,X3,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23438]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4579,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_lessequals(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11850_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23432,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_lessequals(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4579]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23433,plain,
% 171.36/171.61 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.61 | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 171.36/171.61 | c_lessequals(X1,X3,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23432]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4576,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_lessequals(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11851_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23426,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_lessequals(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4576]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23427,plain,
% 171.36/171.61 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.61 | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 171.36/171.61 | c_lessequals(X1,X2,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23426]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4573,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_less(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11852_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23420,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_less(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4573]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23421,plain,
% 171.36/171.61 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.61 | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 171.36/171.61 | c_less(X1,X3,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23420]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4570,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_less(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11853_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23414,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_less(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4570]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23415,plain,
% 171.36/171.61 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.61 | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 171.36/171.61 | c_less(X1,X2,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23414]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4567,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_less(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11854_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23408,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_less(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4567]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23409,plain,
% 171.36/171.61 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.61 | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 171.36/171.61 | c_less(X2,X3,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23408]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4564,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_less(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11855_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23402,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_less(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4564]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23403,plain,
% 171.36/171.61 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.61 | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 171.36/171.61 | c_less(X1,X3,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23402]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4558,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | ~ c_lessequals(X2,X0,tc_nat)
% 171.36/171.61 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11857_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23390,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | ~ c_lessequals(X2,X0,tc_nat)
% 171.36/171.61 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4558]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23391,plain,
% 171.36/171.61 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.36/171.61 | ~ c_lessequals(X1,X2,tc_nat)
% 171.36/171.61 | 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) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23390]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4555,plain,
% 171.36/171.61 ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 171.36/171.61 | c_in(X0,X2,X3)
% 171.36/171.61 | ~ c_in(X0,X1,X3) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11858_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23384,plain,
% 171.36/171.61 ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 171.36/171.61 | c_in(X0,X2,X3)
% 171.36/171.61 | ~ c_in(X0,X1,X3) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4555]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4553,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11859_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23380,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4553]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4519,plain,
% 171.36/171.61 ( c_minus(c_insert(X0,X1,X2),X3,tc_set(X2)) = c_minus(X1,X3,tc_set(X2))
% 171.36/171.61 | ~ c_in(X0,X3,X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11868_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23312,plain,
% 171.36/171.61 ( c_minus(c_insert(X0,X1,X2),X3,tc_set(X2)) = c_minus(X1,X3,tc_set(X2))
% 171.36/171.61 | ~ c_in(X0,X3,X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4519]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23313,plain,
% 171.36/171.61 ( ~ c_in(X0,X1,X2)
% 171.36/171.61 | c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23312]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4508,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 171.36/171.61 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11871_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23290,plain,
% 171.36/171.61 ( c_less(X0,X1,X2)
% 171.36/171.61 | ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 171.36/171.61 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4508]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23291,plain,
% 171.36/171.61 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.36/171.61 | ~ c_less(c_minus(X1,X2,X0),c_0,X0)
% 171.36/171.61 | c_less(X1,X2,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23290]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4505,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 171.36/171.61 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11872_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23284,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,X2)
% 171.36/171.61 | ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 171.36/171.61 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4505]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23285,plain,
% 171.36/171.61 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.36/171.61 | ~ c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 171.36/171.61 | c_lessequals(X1,X2,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23284]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4503,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | X1 = c_0 ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11874_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23280,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | X1 = c_0 ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4503]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4501,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | X0 = c_0 ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11875_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23276,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | X0 = c_0 ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4501]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4495,plain,
% 171.36/171.61 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 171.36/171.61 | c_less(c_0,X1,tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11877_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23264,plain,
% 171.36/171.61 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 171.36/171.61 | c_less(c_0,X1,tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4495]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4493,plain,
% 171.36/171.61 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 171.36/171.61 | c_less(c_0,X0,tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11878_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23260,plain,
% 171.36/171.61 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 171.36/171.61 | c_less(c_0,X0,tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4493]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4490,plain,
% 171.36/171.61 ( c_lessequals(c_0,X0,X1)
% 171.36/171.61 | ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 171.36/171.61 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11879_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23254,plain,
% 171.36/171.61 ( c_lessequals(c_0,X0,X1)
% 171.36/171.61 | ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 171.36/171.61 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4490]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23255,plain,
% 171.36/171.61 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.36/171.61 | ~ c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 171.36/171.61 | c_lessequals(c_0,X1,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23254]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4487,plain,
% 171.36/171.61 ( c_lessequals(X0,c_0,X1)
% 171.36/171.61 | ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 171.36/171.61 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11880_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23248,plain,
% 171.36/171.61 ( c_lessequals(X0,c_0,X1)
% 171.36/171.61 | ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 171.36/171.61 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4487]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23249,plain,
% 171.36/171.61 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.36/171.61 | ~ c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 171.36/171.61 | c_lessequals(X1,c_0,X0) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23248]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4484,plain,
% 171.36/171.61 ( X0 = X1 | c_in(X0,X2,X3) | ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11881_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23242,plain,
% 171.36/171.61 ( X0 = X1 | c_in(X0,X2,X3) | ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4484]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23243,plain,
% 171.36/171.61 ( ~ c_in(X0,c_insert(X1,X2,X3),X3) | c_in(X0,X2,X3) | X0 = X1 ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23242]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4481,plain,
% 171.36/171.61 ( X0 = X1
% 171.36/171.61 | c_List_Oop_Amem(X1,X2,X3)
% 171.36/171.61 | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X0,X2,X3),X3) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11882_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23236,plain,
% 171.36/171.61 ( X0 = X1
% 171.36/171.61 | c_List_Oop_Amem(X1,X2,X3)
% 171.36/171.61 | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X0,X2,X3),X3) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4481]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23237,plain,
% 171.36/171.61 ( ~ c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 171.36/171.61 | c_List_Oop_Amem(X0,X2,X3)
% 171.36/171.61 | X1 = X0 ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23236]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4474,plain,
% 171.36/171.61 ( c_inter(X0,X1,X2) = c_emptyset
% 171.36/171.61 | c_inter(c_insert(X3,X0,X2),X1,X2) != c_emptyset ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11885_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23222,plain,
% 171.36/171.61 ( c_inter(X0,X1,X2) = c_emptyset
% 171.36/171.61 | c_inter(c_insert(X3,X0,X2),X1,X2) != c_emptyset ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4474]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23223,plain,
% 171.36/171.61 ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset
% 171.36/171.61 | c_inter(X1,X3,X2) = c_emptyset ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23222]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4470,plain,
% 171.36/171.61 ( c_inter(X0,X1,X2) = c_emptyset
% 171.36/171.61 | c_inter(X0,c_insert(X3,X1,X2),X2) != c_emptyset ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11887_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23214,plain,
% 171.36/171.61 ( c_inter(X0,X1,X2) = c_emptyset
% 171.36/171.61 | c_inter(X0,c_insert(X3,X1,X2),X2) != c_emptyset ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4470]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23215,plain,
% 171.36/171.61 ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset
% 171.36/171.61 | c_inter(X0,X2,X3) = c_emptyset ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23214]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4468,plain,
% 171.36/171.61 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X3,X1,X2),X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11888_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23210,plain,
% 171.36/171.61 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X3,X1,X2),X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4468]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23211,plain,
% 171.36/171.61 ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X2,X3) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23210]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4466,plain,
% 171.36/171.61 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X1,X3,X2),X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11889_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23206,plain,
% 171.36/171.61 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X1,X3,X2),X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4466]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23207,plain,
% 171.36/171.61 ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X1,X3) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23206]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4464,plain,
% 171.36/171.61 ( X0 = c_0
% 171.36/171.61 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11890_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23202,plain,
% 171.36/171.61 ( X0 = c_0
% 171.36/171.61 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4464]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23203,plain,
% 171.36/171.61 ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.61 | X0 = c_0 ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23202]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4461,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | c_Numeral_Onumber__of(X0,X1) != c_1
% 171.36/171.61 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11892_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23196,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | c_Numeral_Onumber__of(X0,X1) != c_1
% 171.36/171.61 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4461]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23197,plain,
% 171.36/171.61 ( ~ class_Numeral_Onumber__ring(X0)
% 171.36/171.61 | 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)
% 171.36/171.61 | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23196]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4454,plain,
% 171.36/171.61 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.61 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.61 | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11895_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23182,plain,
% 171.36/171.61 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.61 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.61 | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4454]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23183,plain,
% 171.36/171.61 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.36/171.61 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.61 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23182]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4446,plain,
% 171.36/171.61 ( c_Orderings_Omin(X0,c_Finite__Set_OMin(X1,X2),X2) = c_Finite__Set_OMin(c_insert(X0,X1,X2),X2)
% 171.36/171.61 | X1 = c_emptyset
% 171.36/171.61 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11898_3) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23166,plain,
% 171.36/171.61 ( c_Orderings_Omin(X0,c_Finite__Set_OMin(X1,X2),X2) = c_Finite__Set_OMin(c_insert(X0,X1,X2),X2)
% 171.36/171.61 | X1 = c_emptyset
% 171.36/171.61 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4446]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23167,plain,
% 171.36/171.61 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.61 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.36/171.61 | c_Orderings_Omin(X2,c_Finite__Set_OMin(X1,X0),X0) = c_Finite__Set_OMin(c_insert(X2,X1,X0),X0)
% 171.36/171.61 | X1 = c_emptyset ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23166]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4442,plain,
% 171.36/171.61 ( c_Orderings_Omax(X0,c_Finite__Set_OMax(X1,X2),X2) = c_Finite__Set_OMax(c_insert(X0,X1,X2),X2)
% 171.36/171.61 | X1 = c_emptyset
% 171.36/171.61 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11899_3) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23158,plain,
% 171.36/171.61 ( c_Orderings_Omax(X0,c_Finite__Set_OMax(X1,X2),X2) = c_Finite__Set_OMax(c_insert(X0,X1,X2),X2)
% 171.36/171.61 | X1 = c_emptyset
% 171.36/171.61 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 171.36/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4442]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23159,plain,
% 171.36/171.61 ( ~ class_Orderings_Olinorder(X0)
% 171.36/171.61 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 171.36/171.61 | c_Orderings_Omax(X2,c_Finite__Set_OMax(X1,X0),X0) = c_Finite__Set_OMax(c_insert(X2,X1,X0),X0)
% 171.36/171.61 | X1 = c_emptyset ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23158]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4424,plain,
% 171.36/171.61 ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 171.36/171.61 | ~ c_less(X3,X0,tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11905_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23122,plain,
% 171.36/171.61 ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 171.36/171.61 | ~ c_less(X3,X0,tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4424]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23123,plain,
% 171.36/171.61 ( ~ c_less(X0,X1,tc_nat)
% 171.36/171.61 | c_List_Onth(c_List_Otake(X1,X2,X3),X0,X3) = c_List_Onth(X2,X0,X3) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23122]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4421,plain,
% 171.36/171.61 ( c_Finite__Set_Ocard(c_insert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
% 171.36/171.61 | c_in(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11906_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23116,plain,
% 171.36/171.61 ( c_Finite__Set_Ocard(c_insert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
% 171.36/171.61 | c_in(X0,X1,X2)
% 171.36/171.61 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4421]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23117,plain,
% 171.36/171.61 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | c_in(X2,X0,X1)
% 171.36/171.61 | c_Finite__Set_Ocard(c_insert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23116]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4415,plain,
% 171.36/171.61 ( c_less(X0,X1,tc_nat) | ~ c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11908_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23104,plain,
% 171.36/171.61 ( c_less(X0,X1,tc_nat) | ~ c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4415]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23105,plain,
% 171.36/171.61 ( ~ c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | c_less(X1,X0,tc_nat) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23104]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4413,plain,
% 171.36/171.61 ( c_inter(c_List_Oset(X0,X1),c_List_Oset(X2,X1),X1) = c_emptyset
% 171.36/171.61 | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11909_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23100,plain,
% 171.36/171.61 ( c_inter(c_List_Oset(X0,X1),c_List_Oset(X2,X1),X1) = c_emptyset
% 171.36/171.61 | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4413]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23101,plain,
% 171.36/171.61 ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2)
% 171.36/171.61 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) = c_emptyset ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23100]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4411,plain,
% 171.36/171.61 ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist__inter(X1,X3,X2)
% 171.36/171.61 | c_in(X0,c_List_Oset(X3,X2),X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11910_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23096,plain,
% 171.36/171.61 ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist__inter(X1,X3,X2)
% 171.36/171.61 | c_in(X0,c_List_Oset(X3,X2),X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4411]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23097,plain,
% 171.36/171.61 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 171.36/171.61 | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist__inter(X3,X1,X2) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23096]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4409,plain,
% 171.36/171.61 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11911_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23092,plain,
% 171.36/171.61 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4409]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23093,plain,
% 171.36/171.61 ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X1,tc_nat) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23092]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4407,plain,
% 171.36/171.61 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11912_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23088,plain,
% 171.36/171.61 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4407]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23089,plain,
% 171.36/171.61 ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X0,tc_nat) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23088]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4405,plain,
% 171.36/171.61 ( c_less(X0,X1,tc_IntDef_Oint)
% 171.36/171.61 | ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11913_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23084,plain,
% 171.36/171.61 ( c_less(X0,X1,tc_IntDef_Oint)
% 171.36/171.61 | ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4405]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23085,plain,
% 171.36/171.61 ( ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.61 | c_less(X0,X1,tc_IntDef_Oint) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23084]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4403,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 171.36/171.61 | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11914_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23080,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 171.36/171.61 | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4403]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4401,plain,
% 171.36/171.61 ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 171.36/171.61 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11915_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23076,plain,
% 171.36/171.61 ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 171.36/171.61 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4401]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4399,plain,
% 171.36/171.61 ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 171.36/171.61 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11916_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23072,plain,
% 171.36/171.61 ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 171.36/171.61 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4399]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4389,plain,
% 171.36/171.61 ( X0 = c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
% 171.36/171.61 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11919_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23052,plain,
% 171.36/171.61 ( X0 = c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
% 171.36/171.61 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4389]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23053,plain,
% 171.36/171.61 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 171.36/171.61 | X0 = c_append(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23052]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4387,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | ~ c_in(c_0,X2,tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11920_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23048,plain,
% 171.36/171.61 ( 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)
% 171.36/171.61 | ~ c_in(c_0,X2,tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4387]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23049,plain,
% 171.36/171.61 ( ~ c_in(c_0,X0,tc_nat)
% 171.36/171.61 | 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) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23048]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4381,plain,
% 171.36/171.61 ( c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2)
% 171.36/171.61 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11924_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23036,plain,
% 171.36/171.61 ( c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2)
% 171.36/171.61 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4381]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23037,plain,
% 171.36/171.61 ( ~ c_in(X0,c_Union(X1,X2),X2)
% 171.36/171.61 | c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23036]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4379,plain,
% 171.36/171.61 ( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
% 171.36/171.61 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11925_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23032,plain,
% 171.36/171.61 ( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
% 171.36/171.61 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4379]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23033,plain,
% 171.36/171.61 ( ~ c_in(X0,c_Union(X1,X2),X2)
% 171.36/171.61 | c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23032]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4371,plain,
% 171.36/171.61 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 171.36/171.61 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11927_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23016,plain,
% 171.36/171.61 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 171.36/171.61 | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 171.36/171.61 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4371]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4369,plain,
% 171.36/171.61 ( 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))
% 171.36/171.61 | ~ c_lessequals(X0,X1,tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11928_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23012,plain,
% 171.36/171.61 ( 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))
% 171.36/171.61 | ~ c_lessequals(X0,X1,tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4369]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23013,plain,
% 171.36/171.61 ( ~ c_lessequals(X0,X1,tc_nat)
% 171.36/171.61 | 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)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23012]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4367,plain,
% 171.36/171.61 ( c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)) = c_minus(X0,X2,tc_set(X3))
% 171.36/171.61 | c_in(X1,X0,X3) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11929_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23008,plain,
% 171.36/171.61 ( c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)) = c_minus(X0,X2,tc_set(X3))
% 171.36/171.61 | c_in(X1,X0,X3) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4367]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23009,plain,
% 171.36/171.61 ( c_in(X0,X1,X2)
% 171.36/171.61 | c_minus(X1,c_insert(X0,X3,X2),tc_set(X2)) = c_minus(X1,X3,tc_set(X2)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23008]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4365,plain,
% 171.36/171.61 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 171.36/171.61 | ~ c_less(c_0,X0,tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11930_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23004,plain,
% 171.36/171.61 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 171.36/171.61 | ~ c_less(c_0,X0,tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4365]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4363,plain,
% 171.36/171.61 ( c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2)
% 171.36/171.61 | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11931_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23000,plain,
% 171.36/171.61 ( c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2)
% 171.36/171.61 | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4363]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_23001,plain,
% 171.36/171.61 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 171.36/171.61 | c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_23000]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4361,plain,
% 171.36/171.61 ( 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
% 171.36/171.61 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11932_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22996,plain,
% 171.36/171.61 ( 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
% 171.36/171.61 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4361]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22997,plain,
% 171.36/171.61 ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.36/171.61 | 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 ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_22996]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4359,plain,
% 171.36/171.61 ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 171.36/171.61 | ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11933_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22992,plain,
% 171.36/171.61 ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 171.36/171.61 | ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4359]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22993,plain,
% 171.36/171.61 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 171.36/171.61 | c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_22992]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4349,plain,
% 171.36/171.61 ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 171.36/171.61 | X0 = c_0 ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11936_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22972,plain,
% 171.36/171.61 ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 171.36/171.61 | X0 = c_0 ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4349]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4347,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11937_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22968,plain,
% 171.36/171.61 ( c_lessequals(X0,X1,tc_set(X2))
% 171.36/171.61 | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4347]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22969,plain,
% 171.36/171.61 ( ~ c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 171.36/171.61 | c_lessequals(X2,X0,tc_set(X1)) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_22968]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4344,plain,
% 171.36/171.61 ( c_divide(c_times(X0,c_0,X1),c_times(X2,c_0,X1),X1) = c_0
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X1)
% 171.36/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11938_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22962,plain,
% 171.36/171.61 ( c_divide(c_times(X0,c_0,X1),c_times(X2,c_0,X1),X1) = c_0
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X1)
% 171.36/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4344]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22963,plain,
% 171.36/171.61 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X0)
% 171.36/171.61 | c_divide(c_times(X1,c_0,X0),c_times(X2,c_0,X0),X0) = c_0 ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_22962]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4341,plain,
% 171.36/171.61 ( c_divide(c_times(c_0,X0,X1),c_times(c_0,X2,X1),X1) = c_0
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X1)
% 171.36/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11939_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22956,plain,
% 171.36/171.61 ( c_divide(c_times(c_0,X0,X1),c_times(c_0,X2,X1),X1) = c_0
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X1)
% 171.36/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4341]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22957,plain,
% 171.36/171.61 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X0)
% 171.36/171.61 | c_divide(c_times(c_0,X1,X0),c_times(c_0,X2,X0),X0) = c_0 ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_22956]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4322,plain,
% 171.36/171.61 ( c_divide(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X0
% 171.36/171.61 | c_Numeral_Onumber__of(X1,X2) = c_0
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X2)
% 171.36/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.36/171.61 | ~ class_Numeral_Onumber(X2) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11943_4) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22918,plain,
% 171.36/171.61 ( c_divide(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X0
% 171.36/171.61 | c_Numeral_Onumber__of(X1,X2) = c_0
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X2)
% 171.36/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.36/171.61 | ~ class_Numeral_Onumber(X2) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4322]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22919,plain,
% 171.36/171.61 ( ~ class_Numeral_Onumber(X0)
% 171.36/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X0)
% 171.36/171.61 | c_Numeral_Onumber__of(X1,X0) = c_0
% 171.36/171.61 | c_divide(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_22918]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4317,plain,
% 171.36/171.61 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 171.36/171.61 | c_times(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = X2
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X1)
% 171.36/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.36/171.61 | ~ class_Numeral_Onumber(X1) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11944_4) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22908,plain,
% 171.36/171.61 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 171.36/171.61 | c_times(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = X2
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X1)
% 171.36/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.36/171.61 | ~ class_Numeral_Onumber(X1) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4317]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22909,plain,
% 171.36/171.61 ( ~ class_Numeral_Onumber(X0)
% 171.36/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.36/171.61 | ~ class_Ring__and__Field_Ofield(X0)
% 171.36/171.61 | c_Numeral_Onumber__of(X1,X0) = c_0
% 171.36/171.61 | c_times(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_22908]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4315,plain,
% 171.36/171.61 ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 171.36/171.61 | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11945_1) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22904,plain,
% 171.36/171.61 ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 171.36/171.61 | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4315]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4312,plain,
% 171.36/171.61 ( c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
% 171.36/171.61 | c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
% 171.36/171.61 | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11946_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22898,plain,
% 171.36/171.61 ( c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
% 171.36/171.61 | c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
% 171.36/171.61 | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4312]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22899,plain,
% 171.36/171.61 ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
% 171.36/171.61 | c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
% 171.36/171.61 | c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_22898]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4309,plain,
% 171.36/171.61 ( c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
% 171.36/171.61 | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
% 171.36/171.61 | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11947_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22892,plain,
% 171.36/171.61 ( c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
% 171.36/171.61 | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
% 171.36/171.61 | ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4309]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22893,plain,
% 171.36/171.61 ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
% 171.36/171.61 | c_in(c_Message_Omsg_OMPair(X0,X1),X2,tc_Message_Omsg)
% 171.36/171.61 | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_22892]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4303,plain,
% 171.36/171.61 ( c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
% 171.36/171.61 | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
% 171.36/171.61 | ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.36/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11949_2) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22880,plain,
% 171.36/171.61 ( c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
% 171.36/171.61 | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg)
% 171.36/171.61 | ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.36/171.61 inference(copy,[status(esa)],[c_4303]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_22881,plain,
% 171.36/171.61 ( ~ c_in(c_Message_Omsg_OCrypt(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
% 171.36/171.61 | c_in(c_Message_Omsg_OCrypt(X0,X1),X2,tc_Message_Omsg)
% 171.36/171.61 | c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.36/171.61 inference(rewriting,[status(thm)],[c_22880]) ).
% 171.36/171.61
% 171.36/171.61 cnf(c_4296,plain,
% 171.36/171.61 ( c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
% 171.36/171.61 | ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
% 171.36/171.61 | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11951_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22866,plain,
% 171.38/171.61 ( c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Osynth(X2),tc_Message_Omsg)
% 171.38/171.61 | ~ c_in(X0,c_Message_Osynth(X2),tc_Message_Omsg)
% 171.38/171.61 | ~ c_in(X1,c_Message_Osynth(X2),tc_Message_Omsg) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4296]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4286,plain,
% 171.38/171.61 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 171.38/171.61 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11954_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22846,plain,
% 171.38/171.61 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 171.38/171.61 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4286]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4273,plain,
% 171.38/171.61 ( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
% 171.38/171.61 | c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.61 | ~ c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11957_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22820,plain,
% 171.38/171.61 ( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
% 171.38/171.61 | c_in(c_Message_Omsg_OCrypt(X0,X2),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.61 | ~ c_in(c_Message_Omsg_OCrypt(X0,X2),X1,tc_Message_Omsg) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4273]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4254,plain,
% 171.38/171.61 ( c_in(X0,c_Union(X1,X2),X2)
% 171.38/171.61 | ~ c_in(X3,X1,tc_set(X2))
% 171.38/171.61 | ~ c_in(X0,X3,X2) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11963_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22782,plain,
% 171.38/171.61 ( c_in(X0,c_Union(X1,X2),X2)
% 171.38/171.61 | ~ c_in(X3,X1,tc_set(X2))
% 171.38/171.61 | ~ c_in(X0,X3,X2) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4254]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4252,plain,
% 171.38/171.61 ( c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2)
% 171.38/171.61 | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11964_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22778,plain,
% 171.38/171.61 ( c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2)
% 171.38/171.61 | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4252]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22779,plain,
% 171.38/171.61 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 171.38/171.61 | c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22778]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4247,plain,
% 171.38/171.61 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 171.38/171.61 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11966_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22768,plain,
% 171.38/171.61 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 171.38/171.61 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4247]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4245,plain,
% 171.38/171.61 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 171.38/171.61 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11967_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22764,plain,
% 171.38/171.61 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 171.38/171.61 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4245]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4243,plain,
% 171.38/171.61 ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 171.38/171.61 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11968_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22760,plain,
% 171.38/171.61 ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 171.38/171.61 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4243]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4241,plain,
% 171.38/171.61 ( 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)
% 171.38/171.61 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11969_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22756,plain,
% 171.38/171.61 ( 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)
% 171.38/171.61 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4241]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22757,plain,
% 171.38/171.61 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 171.38/171.61 | 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) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22756]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4229,plain,
% 171.38/171.61 ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = c_0
% 171.38/171.61 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.38/171.61 | ~ class_Numeral_Onumber(X1) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11972_3) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22732,plain,
% 171.38/171.61 ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = c_0
% 171.38/171.61 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.38/171.61 | ~ class_Numeral_Onumber(X1) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4229]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22733,plain,
% 171.38/171.61 ( ~ class_Numeral_Onumber(X0)
% 171.38/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.61 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.61 | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22732]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4223,plain,
% 171.38/171.61 ( c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X0),c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.38/171.61 | c_in(X0,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11976_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22720,plain,
% 171.38/171.61 ( c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X0),c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.38/171.61 | c_in(X0,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4223]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22721,plain,
% 171.38/171.61 ( c_in(X0,c_Message_OkeysFor(c_Message_Oanalz(X1)),tc_nat)
% 171.38/171.61 | c_Message_Oanalz(c_insert(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)) = c_insert(c_Message_Omsg_OKey(X0),c_Message_Oanalz(X1),tc_Message_Omsg) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22720]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4205,plain,
% 171.38/171.61 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.38/171.61 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11982_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22684,plain,
% 171.38/171.61 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.38/171.61 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4205]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4203,plain,
% 171.38/171.61 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 171.38/171.61 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11983_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22680,plain,
% 171.38/171.61 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 171.38/171.61 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4203]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22681,plain,
% 171.38/171.61 ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.38/171.61 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_0 ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22680]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4201,plain,
% 171.38/171.61 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.61 | 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 ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11984_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22676,plain,
% 171.38/171.61 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.61 | 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 ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4201]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4199,plain,
% 171.38/171.61 ( 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
% 171.38/171.61 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11985_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22672,plain,
% 171.38/171.61 ( 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
% 171.38/171.61 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4199]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22673,plain,
% 171.38/171.61 ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.61 | 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 ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22672]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4196,plain,
% 171.38/171.61 ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 171.38/171.61 | ~ c_less(X0,X1,X2)
% 171.38/171.61 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11986_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22666,plain,
% 171.38/171.61 ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 171.38/171.61 | ~ c_less(X0,X1,X2)
% 171.38/171.61 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4196]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22667,plain,
% 171.38/171.61 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.61 | c_less(c_minus(X1,X2,X0),c_0,X0)
% 171.38/171.61 | ~ c_less(X1,X2,X0) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22666]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4193,plain,
% 171.38/171.61 ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 171.38/171.61 | ~ c_lessequals(X0,X1,X2)
% 171.38/171.61 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11987_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22660,plain,
% 171.38/171.61 ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 171.38/171.61 | ~ c_lessequals(X0,X1,X2)
% 171.38/171.61 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4193]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22661,plain,
% 171.38/171.61 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.61 | c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 171.38/171.61 | ~ c_lessequals(X1,X2,X0) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22660]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4191,plain,
% 171.38/171.61 ( X0 = X1 | ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11988_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22656,plain,
% 171.38/171.61 ( X0 = X1 | ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4191]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22657,plain,
% 171.38/171.61 ( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) | X0 = X1 ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22656]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4184,plain,
% 171.38/171.61 ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 171.38/171.61 | ~ c_lessequals(c_0,X0,X1)
% 171.38/171.61 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11990_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22642,plain,
% 171.38/171.61 ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 171.38/171.61 | ~ c_lessequals(c_0,X0,X1)
% 171.38/171.61 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4184]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22643,plain,
% 171.38/171.61 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.61 | c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 171.38/171.61 | ~ c_lessequals(c_0,X1,X0) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22642]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4181,plain,
% 171.38/171.61 ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 171.38/171.61 | ~ c_lessequals(X0,c_0,X1)
% 171.38/171.61 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11991_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22636,plain,
% 171.38/171.61 ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 171.38/171.61 | ~ c_lessequals(X0,c_0,X1)
% 171.38/171.61 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4181]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22637,plain,
% 171.38/171.61 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.61 | c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 171.38/171.61 | ~ c_lessequals(X1,c_0,X0) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22636]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4179,plain,
% 171.38/171.61 ( c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 171.38/171.61 | ~ c_less(c_0,X0,tc_nat) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11992_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22632,plain,
% 171.38/171.61 ( c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 171.38/171.61 | ~ c_less(c_0,X0,tc_nat) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4179]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22633,plain,
% 171.38/171.61 ( ~ c_less(c_0,X0,tc_nat)
% 171.38/171.61 | c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22632]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4177,plain,
% 171.38/171.61 ( c_minus(c_insert(X0,c_emptyset,X1),c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_insert(X0,c_emptyset,X1)
% 171.38/171.61 | ~ class_Orderings_Oorder(X1) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11993_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22628,plain,
% 171.38/171.61 ( c_minus(c_insert(X0,c_emptyset,X1),c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_insert(X0,c_emptyset,X1)
% 171.38/171.61 | ~ class_Orderings_Oorder(X1) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4177]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22629,plain,
% 171.38/171.61 ( ~ class_Orderings_Oorder(X0)
% 171.38/171.61 | c_minus(c_insert(X1,c_emptyset,X0),c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_insert(X1,c_emptyset,X0) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22628]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4171,plain,
% 171.38/171.61 ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 171.38/171.61 | c_in(X0,c_Inter(X1,X2),X2) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11995_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22616,plain,
% 171.38/171.61 ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 171.38/171.61 | c_in(X0,c_Inter(X1,X2),X2) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4171]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4169,plain,
% 171.38/171.61 ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 171.38/171.61 | c_in(X0,c_Inter(X1,X2),X2) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11996_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22612,plain,
% 171.38/171.61 ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 171.38/171.61 | c_in(X0,c_Inter(X1,X2),X2) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4169]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4167,plain,
% 171.38/171.61 ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11997_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22608,plain,
% 171.38/171.61 ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4167]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4165,plain,
% 171.38/171.61 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11998_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22604,plain,
% 171.38/171.61 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4165]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4163,plain,
% 171.38/171.61 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11999_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22600,plain,
% 171.38/171.61 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4163]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4161,plain,
% 171.38/171.61 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 171.38/171.61 | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12000_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22596,plain,
% 171.38/171.61 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 171.38/171.61 | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4161]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4159,plain,
% 171.38/171.61 ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 171.38/171.61 | ~ c_less(X3,X0,tc_nat) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12015_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22592,plain,
% 171.38/171.61 ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 171.38/171.61 | ~ c_less(X3,X0,tc_nat) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4159]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22593,plain,
% 171.38/171.61 ( ~ c_less(X0,X1,tc_nat)
% 171.38/171.61 | c_List_Onth(c_List_Oreplicate(X1,X2,X3),X0,X3) = X2 ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22592]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4153,plain,
% 171.38/171.61 ( c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1
% 171.38/171.61 | ~ c_lessequals(X0,X1,tc_nat) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12020_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22580,plain,
% 171.38/171.61 ( c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1
% 171.38/171.61 | ~ c_lessequals(X0,X1,tc_nat) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4153]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22581,plain,
% 171.38/171.61 ( ~ c_lessequals(X0,X1,tc_nat)
% 171.38/171.61 | c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1 ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22580]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4151,plain,
% 171.38/171.61 ( c_plus(c_minus(X0,X1,tc_nat),X1,tc_nat) = X0
% 171.38/171.61 | ~ c_lessequals(X1,X0,tc_nat) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12021_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22576,plain,
% 171.38/171.61 ( c_plus(c_minus(X0,X1,tc_nat),X1,tc_nat) = X0
% 171.38/171.61 | ~ c_lessequals(X1,X0,tc_nat) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4151]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22577,plain,
% 171.38/171.61 ( ~ c_lessequals(X0,X1,tc_nat)
% 171.38/171.61 | c_plus(c_minus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22576]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4149,plain,
% 171.38/171.61 ( c_minus(X0,c_minus(X0,X1,tc_nat),tc_nat) = X1
% 171.38/171.61 | ~ c_lessequals(X1,X0,tc_nat) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12022_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22572,plain,
% 171.38/171.61 ( c_minus(X0,c_minus(X0,X1,tc_nat),tc_nat) = X1
% 171.38/171.61 | ~ c_lessequals(X1,X0,tc_nat) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4149]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22573,plain,
% 171.38/171.61 ( ~ c_lessequals(X0,X1,tc_nat)
% 171.38/171.61 | c_minus(X1,c_minus(X1,X0,tc_nat),tc_nat) = X0 ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22572]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4146,plain,
% 171.38/171.61 ( c_times(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_times(X0,X2,X1),X1)
% 171.38/171.61 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12023_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22566,plain,
% 171.38/171.61 ( c_times(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_times(X0,X2,X1),X1)
% 171.38/171.61 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4146]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22567,plain,
% 171.38/171.61 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.61 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.61 | c_times(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0) = c_HOL_Oinverse(c_times(X1,X2,X0),X0) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22566]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4143,plain,
% 171.38/171.61 ( c_divide(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(c_divide(X0,X2,X1),X1)
% 171.38/171.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.38/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12024_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22560,plain,
% 171.38/171.61 ( c_divide(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(c_divide(X0,X2,X1),X1)
% 171.38/171.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.38/171.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4143]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22561,plain,
% 171.38/171.61 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.61 | ~ class_Ring__and__Field_Oordered__field(X0)
% 171.38/171.61 | c_divide(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_divide(X1,X2,X0),X0) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22560]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4139,plain,
% 171.38/171.61 ( X0 = c_0 | ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12026_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22552,plain,
% 171.38/171.61 ( X0 = c_0 | ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4139]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22553,plain,
% 171.38/171.61 ( ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) | X0 = c_0 ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22552]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4132,plain,
% 171.38/171.61 ( c_lessequals(X0,X1,X2)
% 171.38/171.61 | ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2))
% 171.38/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12030_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22538,plain,
% 171.38/171.61 ( c_lessequals(X0,X1,X2)
% 171.38/171.61 | ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2))
% 171.38/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4132]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22539,plain,
% 171.38/171.61 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.61 | ~ c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 171.38/171.61 | c_lessequals(X1,X2,X0) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22538]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4129,plain,
% 171.38/171.61 ( c_lessequals(X0,X1,X2)
% 171.38/171.61 | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2))
% 171.38/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12031_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22532,plain,
% 171.38/171.61 ( c_lessequals(X0,X1,X2)
% 171.38/171.61 | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2))
% 171.38/171.61 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4129]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22533,plain,
% 171.38/171.61 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.61 | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 171.38/171.61 | c_lessequals(X2,X1,X0) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22532]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4126,plain,
% 171.38/171.61 ( c_lessequals(X0,X1,X2)
% 171.38/171.61 | ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
% 171.38/171.61 | ~ class_Orderings_Oorder(X2) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12032_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22526,plain,
% 171.38/171.61 ( c_lessequals(X0,X1,X2)
% 171.38/171.61 | ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
% 171.38/171.61 | ~ class_Orderings_Oorder(X2) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4126]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22527,plain,
% 171.38/171.61 ( ~ class_Orderings_Oorder(X0)
% 171.38/171.61 | ~ c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 171.38/171.61 | c_lessequals(X1,X2,X0) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22526]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4123,plain,
% 171.38/171.61 ( c_lessequals(X0,X1,X2)
% 171.38/171.61 | ~ c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2))
% 171.38/171.61 | ~ class_Orderings_Oorder(X2) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12033_2) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22520,plain,
% 171.38/171.61 ( c_lessequals(X0,X1,X2)
% 171.38/171.61 | ~ c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2))
% 171.38/171.61 | ~ class_Orderings_Oorder(X2) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4123]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22521,plain,
% 171.38/171.61 ( ~ class_Orderings_Oorder(X0)
% 171.38/171.61 | ~ c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 171.38/171.61 | c_lessequals(X2,X1,X0) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22520]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4121,plain,
% 171.38/171.61 ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12034_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22516,plain,
% 171.38/171.61 ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4121]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4119,plain,
% 171.38/171.61 ( c_div(c_times(X0,X1,tc_nat),X1,tc_nat) = X0 | ~ c_less(c_0,X1,tc_nat) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12036_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22512,plain,
% 171.38/171.61 ( c_div(c_times(X0,X1,tc_nat),X1,tc_nat) = X0 | ~ c_less(c_0,X1,tc_nat) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4119]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22513,plain,
% 171.38/171.61 ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22512]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4117,plain,
% 171.38/171.61 ( c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 | ~ c_less(c_0,X0,tc_nat) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12037_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22508,plain,
% 171.38/171.61 ( c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 | ~ c_less(c_0,X0,tc_nat) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4117]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22509,plain,
% 171.38/171.61 ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22508]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4115,plain,
% 171.38/171.61 ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 171.38/171.61 | X0 = c_List_Olist_ONil ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12038_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22504,plain,
% 171.38/171.61 ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 171.38/171.61 | X0 = c_List_Olist_ONil ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4115]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4113,plain,
% 171.38/171.61 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 171.38/171.61 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 171.38/171.61 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12039_1) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22500,plain,
% 171.38/171.61 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 171.38/171.61 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 171.38/171.61 inference(copy,[status(esa)],[c_4113]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_22501,plain,
% 171.38/171.61 ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 171.38/171.61 | c_less(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) ),
% 171.38/171.61 inference(rewriting,[status(thm)],[c_22500]) ).
% 171.38/171.61
% 171.38/171.61 cnf(c_4111,plain,
% 171.38/171.62 ( c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(X0,c_0,tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12040_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22496,plain,
% 171.38/171.62 ( c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(X0,c_0,tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4111]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22497,plain,
% 171.38/171.62 ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 171.38/171.62 | c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22496]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4109,plain,
% 171.38/171.62 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 171.38/171.62 | ~ c_less(c_0,X1,tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12041_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22492,plain,
% 171.38/171.62 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 171.38/171.62 | ~ c_less(c_0,X1,tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4109]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22493,plain,
% 171.38/171.62 ( ~ c_less(c_0,X0,tc_nat)
% 171.38/171.62 | c_less(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22492]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4107,plain,
% 171.38/171.62 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 171.38/171.62 | ~ c_less(c_0,X1,tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12042_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22488,plain,
% 171.38/171.62 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 171.38/171.62 | ~ c_less(c_0,X1,tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4107]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4105,plain,
% 171.38/171.62 ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12043_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22484,plain,
% 171.38/171.62 ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4105]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4103,plain,
% 171.38/171.62 ( c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | ~ c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12044_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22480,plain,
% 171.38/171.62 ( c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | ~ c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4103]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22481,plain,
% 171.38/171.62 ( ~ c_lessequals(X0,X1,tc_IntDef_Oint)
% 171.38/171.62 | c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22480]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4096,plain,
% 171.38/171.62 ( X0 = X1
% 171.38/171.62 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 171.38/171.62 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12046_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22466,plain,
% 171.38/171.62 ( X0 = X1
% 171.38/171.62 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 171.38/171.62 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4096]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22467,plain,
% 171.38/171.62 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 171.38/171.62 | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 171.38/171.62 | X0 = X2 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22466]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4093,plain,
% 171.38/171.62 ( X0 = X1
% 171.38/171.62 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 171.38/171.62 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12047_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22460,plain,
% 171.38/171.62 ( X0 = X1
% 171.38/171.62 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 171.38/171.62 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4093]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22461,plain,
% 171.38/171.62 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 171.38/171.62 | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 171.38/171.62 | X3 = X4 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22460]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4090,plain,
% 171.38/171.62 ( X0 = X1
% 171.38/171.62 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 171.38/171.62 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12048_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22454,plain,
% 171.38/171.62 ( X0 = X1
% 171.38/171.62 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 171.38/171.62 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4090]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22455,plain,
% 171.38/171.62 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 171.38/171.62 | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 171.38/171.62 | X3 = X4 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22454]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4087,plain,
% 171.38/171.62 ( X0 = X1
% 171.38/171.62 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 171.38/171.62 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12049_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22448,plain,
% 171.38/171.62 ( X0 = X1
% 171.38/171.62 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 171.38/171.62 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4087]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22449,plain,
% 171.38/171.62 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 171.38/171.62 | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 171.38/171.62 | X0 = X2 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22448]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4085,plain,
% 171.38/171.62 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12050_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22444,plain,
% 171.38/171.62 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4085]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4083,plain,
% 171.38/171.62 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12051_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22440,plain,
% 171.38/171.62 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4083]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4081,plain,
% 171.38/171.62 ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12052_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22436,plain,
% 171.38/171.62 ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4081]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4079,plain,
% 171.38/171.62 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12053_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22432,plain,
% 171.38/171.62 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4079]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4074,plain,
% 171.38/171.62 ( c_less(c_0,X0,tc_nat)
% 171.38/171.62 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12055_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22422,plain,
% 171.38/171.62 ( c_less(c_0,X0,tc_nat)
% 171.38/171.62 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4074]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22423,plain,
% 171.38/171.62 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_less(c_0,X1,tc_nat) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22422]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4072,plain,
% 171.38/171.62 ( c_less(c_0,X0,tc_nat)
% 171.38/171.62 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12056_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22418,plain,
% 171.38/171.62 ( c_less(c_0,X0,tc_nat)
% 171.38/171.62 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4072]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22419,plain,
% 171.38/171.62 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 171.38/171.62 | c_less(c_0,X1,tc_nat) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22418]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4070,plain,
% 171.38/171.62 ( c_LOrder_Ojoin(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Omeet(X0,X2,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12057_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22414,plain,
% 171.38/171.62 ( c_LOrder_Ojoin(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Omeet(X0,X2,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4070]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22415,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.62 | c_LOrder_Ojoin(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Omeet(X1,X2,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22414]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4068,plain,
% 171.38/171.62 ( c_LOrder_Omeet(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Ojoin(X0,X2,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12058_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22410,plain,
% 171.38/171.62 ( c_LOrder_Omeet(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Ojoin(X0,X2,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4068]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22411,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.62 | c_LOrder_Omeet(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Ojoin(X1,X2,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22410]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4066,plain,
% 171.38/171.62 ( c_plus(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_plus(X0,X2,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12059_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22406,plain,
% 171.38/171.62 ( c_plus(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_plus(X0,X2,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4066]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22407,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.62 | c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_plus(X1,X2,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22406]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4064,plain,
% 171.38/171.62 ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 171.38/171.62 | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12060_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22402,plain,
% 171.38/171.62 ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 171.38/171.62 | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4064]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4062,plain,
% 171.38/171.62 ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 171.38/171.62 | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12063_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22398,plain,
% 171.38/171.62 ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 171.38/171.62 | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4062]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4060,plain,
% 171.38/171.62 ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12064_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22394,plain,
% 171.38/171.62 ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4060]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4058,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12065_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22390,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4058]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22391,plain,
% 171.38/171.62 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.62 | 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) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22390]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4056,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12067_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22386,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4056]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22387,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.62 | 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) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22386]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4054,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12068_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22382,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4054]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22383,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.62 | 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) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22382]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4052,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12069_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22378,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4052]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22379,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.62 | 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) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22378]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4050,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12070_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22374,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4050]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22375,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.62 | 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) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22374]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4048,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12071_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22370,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4048]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22371,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.62 | 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) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22370]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4045,plain,
% 171.38/171.62 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.38/171.62 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12072_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22364,plain,
% 171.38/171.62 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 171.38/171.62 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4045]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4038,plain,
% 171.38/171.62 ( c_divide(X0,c_times(X1,X0,X2),X2) = c_divide(c_1,X1,X2)
% 171.38/171.62 | X0 = c_0
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12074_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22350,plain,
% 171.38/171.62 ( c_divide(X0,c_times(X1,X0,X2),X2) = c_divide(c_1,X1,X2)
% 171.38/171.62 | X0 = c_0
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4038]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22351,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_divide(X1,c_times(X2,X1,X0),X0) = c_divide(c_1,X2,X0)
% 171.38/171.62 | X1 = c_0 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22350]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4034,plain,
% 171.38/171.62 ( c_divide(X0,c_times(X0,X1,X2),X2) = c_divide(c_1,X1,X2)
% 171.38/171.62 | X0 = c_0
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12075_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22342,plain,
% 171.38/171.62 ( c_divide(X0,c_times(X0,X1,X2),X2) = c_divide(c_1,X1,X2)
% 171.38/171.62 | X0 = c_0
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4034]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22343,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_divide(X1,c_times(X1,X2,X0),X0) = c_divide(c_1,X2,X0)
% 171.38/171.62 | X1 = c_0 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22342]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4031,plain,
% 171.38/171.62 ( c_less(X0,X1,X2)
% 171.38/171.62 | ~ c_less(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12076_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22336,plain,
% 171.38/171.62 ( c_less(X0,X1,X2)
% 171.38/171.62 | ~ c_less(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4031]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22337,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | ~ c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 171.38/171.62 | c_less(X2,X1,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22336]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4028,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,X2)
% 171.38/171.62 | ~ c_lessequals(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12077_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22330,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,X2)
% 171.38/171.62 | ~ c_lessequals(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4028]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22331,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | ~ c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 171.38/171.62 | c_lessequals(X2,X1,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22330]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4026,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12079_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22326,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4026]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22327,plain,
% 171.38/171.62 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | 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) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22326]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4019,plain,
% 171.38/171.62 ( c_less(X0,X1,tc_nat)
% 171.38/171.62 | ~ c_less(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12081_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22312,plain,
% 171.38/171.62 ( c_less(X0,X1,tc_nat)
% 171.38/171.62 | ~ c_less(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4019]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22313,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.62 | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 171.38/171.62 | c_less(X1,X2,tc_nat) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22312]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4016,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,tc_nat)
% 171.38/171.62 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12082_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22306,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,tc_nat)
% 171.38/171.62 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4016]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22307,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.62 | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 171.38/171.62 | c_lessequals(X1,X2,tc_nat) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22306]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4013,plain,
% 171.38/171.62 ( c_less(X0,X1,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12083_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22300,plain,
% 171.38/171.62 ( c_less(X0,X1,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4013]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22301,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.62 | ~ c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 171.38/171.62 | c_less(X1,X2,tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22300]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4010,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_lessequals(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12084_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22294,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_lessequals(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4010]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22295,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.62 | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 171.38/171.62 | c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22294]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_4000,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | c_Numeral_Onumber__of(X0,X1) != c_1
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12092_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22274,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | c_Numeral_Onumber__of(X0,X1) != c_1
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_4000]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22275,plain,
% 171.38/171.62 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.62 | 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)
% 171.38/171.62 | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22274]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3990,plain,
% 171.38/171.62 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12098_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22254,plain,
% 171.38/171.62 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3990]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3988,plain,
% 171.38/171.62 ( c_Orderings_Omax(X0,c_Orderings_Omax(X0,X1,X2),X2) = c_Orderings_Omax(X0,X1,X2)
% 171.38/171.62 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12099_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22250,plain,
% 171.38/171.62 ( c_Orderings_Omax(X0,c_Orderings_Omax(X0,X1,X2),X2) = c_Orderings_Omax(X0,X1,X2)
% 171.38/171.62 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3988]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22251,plain,
% 171.38/171.62 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.62 | c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X0),X0) = c_Orderings_Omax(X1,X2,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22250]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3986,plain,
% 171.38/171.62 ( c_Orderings_Omin(X0,c_Orderings_Omin(X0,X1,X2),X2) = c_Orderings_Omin(X0,X1,X2)
% 171.38/171.62 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12100_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22246,plain,
% 171.38/171.62 ( c_Orderings_Omin(X0,c_Orderings_Omin(X0,X1,X2),X2) = c_Orderings_Omin(X0,X1,X2)
% 171.38/171.62 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3986]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22247,plain,
% 171.38/171.62 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.62 | c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X0),X0) = c_Orderings_Omin(X1,X2,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22246]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3984,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,tc_set(X2))
% 171.38/171.62 | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12101_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22242,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,tc_set(X2))
% 171.38/171.62 | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3984]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3981,plain,
% 171.38/171.62 ( c_in(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg)
% 171.38/171.62 | c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.62 | ~ c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12102_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22236,plain,
% 171.38/171.62 ( c_in(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg)
% 171.38/171.62 | c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.62 | ~ c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3981]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22237,plain,
% 171.38/171.62 ( ~ c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.62 | c_in(c_Message_Omsg_OHash(X0),X1,tc_Message_Omsg)
% 171.38/171.62 | c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22236]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3979,plain,
% 171.38/171.62 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 171.38/171.62 | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12106_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22232,plain,
% 171.38/171.62 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 171.38/171.62 | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3979]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3972,plain,
% 171.38/171.62 ( c_Numeral_Onumber__of(X0,X1) = c_Numeral_Onumber__of(X2,X1)
% 171.38/171.62 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12109_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22218,plain,
% 171.38/171.62 ( c_Numeral_Onumber__of(X0,X1) = c_Numeral_Onumber__of(X2,X1)
% 171.38/171.62 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3972]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22219,plain,
% 171.38/171.62 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.62 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 171.38/171.62 | c_Numeral_Onumber__of(X1,X0) = c_Numeral_Onumber__of(X2,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22218]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3964,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12114_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22202,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3964]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22203,plain,
% 171.38/171.62 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.62 | 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) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22202]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3960,plain,
% 171.38/171.62 ( c_less(c_uminus(c_1,X0),X1,X0)
% 171.38/171.62 | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | ~ class_HOL_Oone(X0) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12115_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22194,plain,
% 171.38/171.62 ( c_less(c_uminus(c_1,X0),X1,X0)
% 171.38/171.62 | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | ~ class_HOL_Oone(X0) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3960]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22195,plain,
% 171.38/171.62 ( ~ class_HOL_Oone(X0)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | c_less(c_uminus(c_1,X0),X1,X0)
% 171.38/171.62 | ~ c_less(c_uminus(X1,X0),c_1,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22194]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3956,plain,
% 171.38/171.62 ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 171.38/171.62 | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | ~ class_HOL_Oone(X0) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12116_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22186,plain,
% 171.38/171.62 ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 171.38/171.62 | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | ~ class_HOL_Oone(X0) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3956]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22187,plain,
% 171.38/171.62 ( ~ class_HOL_Oone(X0)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | c_lessequals(c_uminus(c_1,X0),X1,X0)
% 171.38/171.62 | ~ c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22186]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3952,plain,
% 171.38/171.62 ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12117_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22178,plain,
% 171.38/171.62 ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3952]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22179,plain,
% 171.38/171.62 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22178]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3948,plain,
% 171.38/171.62 ( c_less(X0,c_uminus(c_1,X1),X1)
% 171.38/171.62 | ~ c_less(c_1,c_uminus(X0,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.38/171.62 | ~ class_HOL_Oone(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12118_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22170,plain,
% 171.38/171.62 ( c_less(X0,c_uminus(c_1,X1),X1)
% 171.38/171.62 | ~ c_less(c_1,c_uminus(X0,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.38/171.62 | ~ class_HOL_Oone(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3948]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22171,plain,
% 171.38/171.62 ( ~ class_HOL_Oone(X0)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | ~ c_less(c_1,c_uminus(X1,X0),X0)
% 171.38/171.62 | c_less(X1,c_uminus(c_1,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22170]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3944,plain,
% 171.38/171.62 ( c_lessequals(X0,c_uminus(c_1,X1),X1)
% 171.38/171.62 | ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.38/171.62 | ~ class_HOL_Oone(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12119_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22162,plain,
% 171.38/171.62 ( c_lessequals(X0,c_uminus(c_1,X1),X1)
% 171.38/171.62 | ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.38/171.62 | ~ class_HOL_Oone(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3944]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22163,plain,
% 171.38/171.62 ( ~ class_HOL_Oone(X0)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | ~ c_lessequals(c_1,c_uminus(X1,X0),X0)
% 171.38/171.62 | c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22162]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3922,plain,
% 171.38/171.62 ( c_less(c_uminus(X0,X1),c_1,X1)
% 171.38/171.62 | ~ c_less(c_uminus(c_1,X1),X0,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.38/171.62 | ~ class_HOL_Oone(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12126_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22118,plain,
% 171.38/171.62 ( c_less(c_uminus(X0,X1),c_1,X1)
% 171.38/171.62 | ~ c_less(c_uminus(c_1,X1),X0,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.38/171.62 | ~ class_HOL_Oone(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3922]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22119,plain,
% 171.38/171.62 ( ~ class_HOL_Oone(X0)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | ~ c_less(c_uminus(c_1,X0),X1,X0)
% 171.38/171.62 | c_less(c_uminus(X1,X0),c_1,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22118]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3918,plain,
% 171.38/171.62 ( c_lessequals(c_uminus(X0,X1),c_1,X1)
% 171.38/171.62 | ~ c_lessequals(c_uminus(c_1,X1),X0,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.38/171.62 | ~ class_HOL_Oone(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12127_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22110,plain,
% 171.38/171.62 ( c_lessequals(c_uminus(X0,X1),c_1,X1)
% 171.38/171.62 | ~ c_lessequals(c_uminus(c_1,X1),X0,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.38/171.62 | ~ class_HOL_Oone(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3918]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22111,plain,
% 171.38/171.62 ( ~ class_HOL_Oone(X0)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | ~ c_lessequals(c_uminus(c_1,X0),X1,X0)
% 171.38/171.62 | c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22110]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3914,plain,
% 171.38/171.62 ( c_less(c_1,c_uminus(X0,X1),X1)
% 171.38/171.62 | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.38/171.62 | ~ class_HOL_Oone(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12128_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22102,plain,
% 171.38/171.62 ( c_less(c_1,c_uminus(X0,X1),X1)
% 171.38/171.62 | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.38/171.62 | ~ class_HOL_Oone(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3914]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22103,plain,
% 171.38/171.62 ( ~ class_HOL_Oone(X0)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | c_less(c_1,c_uminus(X1,X0),X0)
% 171.38/171.62 | ~ c_less(X1,c_uminus(c_1,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22102]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3910,plain,
% 171.38/171.62 ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 171.38/171.62 | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.38/171.62 | ~ class_HOL_Oone(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12129_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22094,plain,
% 171.38/171.62 ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 171.38/171.62 | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 171.38/171.62 | ~ class_HOL_Oone(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3910]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22095,plain,
% 171.38/171.62 ( ~ class_HOL_Oone(X0)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | c_lessequals(c_1,c_uminus(X1,X0),X0)
% 171.38/171.62 | ~ c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22094]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3907,plain,
% 171.38/171.62 ( c_divide(X0,c_uminus(X1,X2),X2) = c_uminus(c_divide(X0,X1,X2),X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12136_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22088,plain,
% 171.38/171.62 ( c_divide(X0,c_uminus(X1,X2),X2) = c_uminus(c_divide(X0,X1,X2),X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3907]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22089,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_divide(X1,c_uminus(X2,X0),X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22088]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3905,plain,
% 171.38/171.62 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.38/171.62 | ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12142_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22084,plain,
% 171.38/171.62 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.38/171.62 | ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3905]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22085,plain,
% 171.38/171.62 ( ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 171.38/171.62 | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22084]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3899,plain,
% 171.38/171.62 ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_ONil
% 171.38/171.62 | c_in(c_0,X2,tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12146_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22072,plain,
% 171.38/171.62 ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_ONil
% 171.38/171.62 | c_in(c_0,X2,tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3899]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22073,plain,
% 171.38/171.62 ( c_in(c_0,X0,tc_nat)
% 171.38/171.62 | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_ONil ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22072]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3898,plain,
% 171.38/171.62 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.38/171.62 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12153_0) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22070,plain,
% 171.38/171.62 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.38/171.62 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3898]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3896,plain,
% 171.38/171.62 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.62 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12153_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22066,plain,
% 171.38/171.62 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.62 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3896]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22067,plain,
% 171.38/171.62 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.62 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22066]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3895,plain,
% 171.38/171.62 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 171.38/171.62 | c_Parity_Oeven(X1,tc_nat)
% 171.38/171.62 | c_Parity_Oeven(X0,tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12154_0) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22064,plain,
% 171.38/171.62 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 171.38/171.62 | c_Parity_Oeven(X1,tc_nat)
% 171.38/171.62 | c_Parity_Oeven(X0,tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3895]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3893,plain,
% 171.38/171.62 ( c_Parity_Oeven(X0,tc_nat)
% 171.38/171.62 | c_Parity_Oeven(X1,tc_nat)
% 171.38/171.62 | ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12154_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22060,plain,
% 171.38/171.62 ( c_Parity_Oeven(X0,tc_nat)
% 171.38/171.62 | c_Parity_Oeven(X1,tc_nat)
% 171.38/171.62 | ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3893]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22061,plain,
% 171.38/171.62 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 171.38/171.62 | c_Parity_Oeven(X0,tc_nat)
% 171.38/171.62 | c_Parity_Oeven(X1,tc_nat) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22060]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3891,plain,
% 171.38/171.62 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | 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)
% 171.38/171.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12155_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22056,plain,
% 171.38/171.62 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | 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)
% 171.38/171.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3891]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22057,plain,
% 171.38/171.62 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | 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) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22056]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3884,plain,
% 171.38/171.62 ( c_times(X0,c_uminus(X1,X2),X2) = c_uminus(c_times(X0,X1,X2),X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Oring(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12157_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22042,plain,
% 171.38/171.62 ( c_times(X0,c_uminus(X1,X2),X2) = c_uminus(c_times(X0,X1,X2),X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Oring(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3884]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22043,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oring(X0)
% 171.38/171.62 | c_times(X1,c_uminus(X2,X0),X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22042]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3882,plain,
% 171.38/171.62 ( c_times(c_uminus(X0,X1),X2,X1) = c_uminus(c_times(X0,X2,X1),X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Oring(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12158_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22038,plain,
% 171.38/171.62 ( c_times(c_uminus(X0,X1),X2,X1) = c_uminus(c_times(X0,X2,X1),X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Oring(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3882]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22039,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oring(X0)
% 171.38/171.62 | c_times(c_uminus(X1,X0),X2,X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22038]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3880,plain,
% 171.38/171.62 ( c_divide(c_uminus(X0,X1),X2,X1) = c_uminus(c_divide(X0,X2,X1),X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12159_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22034,plain,
% 171.38/171.62 ( c_divide(c_uminus(X0,X1),X2,X1) = c_uminus(c_divide(X0,X2,X1),X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3880]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22035,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_divide(c_uminus(X1,X0),X2,X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22034]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3878,plain,
% 171.38/171.62 ( 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
% 171.38/171.62 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12160_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22030,plain,
% 171.38/171.62 ( 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
% 171.38/171.62 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3878]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22031,plain,
% 171.38/171.62 ( ~ class_Power_Orecpower(X0)
% 171.38/171.62 | 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 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22030]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3876,plain,
% 171.38/171.62 ( 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
% 171.38/171.62 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12161_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22026,plain,
% 171.38/171.62 ( 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
% 171.38/171.62 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3876]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22027,plain,
% 171.38/171.62 ( ~ class_Power_Orecpower(X0)
% 171.38/171.62 | 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 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22026]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3869,plain,
% 171.38/171.62 ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 171.38/171.62 | ~ c_lessequals(X0,X2,X1)
% 171.38/171.62 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12163_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22012,plain,
% 171.38/171.62 ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 171.38/171.62 | ~ c_lessequals(X0,X2,X1)
% 171.38/171.62 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3869]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22013,plain,
% 171.38/171.62 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.62 | c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 171.38/171.62 | ~ c_lessequals(X1,X2,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22012]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3866,plain,
% 171.38/171.62 ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 171.38/171.62 | ~ c_lessequals(X2,X0,X1)
% 171.38/171.62 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12164_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22006,plain,
% 171.38/171.62 ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 171.38/171.62 | ~ c_lessequals(X2,X0,X1)
% 171.38/171.62 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3866]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22007,plain,
% 171.38/171.62 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.62 | c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 171.38/171.62 | ~ c_lessequals(X2,X1,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22006]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3863,plain,
% 171.38/171.62 ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 171.38/171.62 | ~ c_lessequals(X0,X2,X1)
% 171.38/171.62 | ~ class_Orderings_Oorder(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12165_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22000,plain,
% 171.38/171.62 ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 171.38/171.62 | ~ c_lessequals(X0,X2,X1)
% 171.38/171.62 | ~ class_Orderings_Oorder(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3863]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_22001,plain,
% 171.38/171.62 ( ~ class_Orderings_Oorder(X0)
% 171.38/171.62 | c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 171.38/171.62 | ~ c_lessequals(X1,X2,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_22000]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3860,plain,
% 171.38/171.62 ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 171.38/171.62 | ~ c_lessequals(X2,X0,X1)
% 171.38/171.62 | ~ class_Orderings_Oorder(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12166_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21994,plain,
% 171.38/171.62 ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 171.38/171.62 | ~ c_lessequals(X2,X0,X1)
% 171.38/171.62 | ~ class_Orderings_Oorder(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3860]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21995,plain,
% 171.38/171.62 ( ~ class_Orderings_Oorder(X0)
% 171.38/171.62 | c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 171.38/171.62 | ~ c_lessequals(X2,X1,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21994]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3858,plain,
% 171.38/171.62 ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = X0
% 171.38/171.62 | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12167_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21990,plain,
% 171.38/171.62 ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = X0
% 171.38/171.62 | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3858]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21991,plain,
% 171.38/171.62 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 171.38/171.62 | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = X1 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21990]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3856,plain,
% 171.38/171.62 ( c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1)
% 171.38/171.62 | ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12168_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21986,plain,
% 171.38/171.62 ( c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1)
% 171.38/171.62 | ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3856]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21987,plain,
% 171.38/171.62 ( ~ c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 171.38/171.62 | c_Message_Oparts(c_insert(X0,X1,tc_Message_Omsg)) = c_Message_Oparts(X1) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21986]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3854,plain,
% 171.38/171.62 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 171.38/171.62 | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12169_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21982,plain,
% 171.38/171.62 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 171.38/171.62 | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3854]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21983,plain,
% 171.38/171.62 ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 171.38/171.62 | c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21982]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3852,plain,
% 171.38/171.62 ( c_List_Odistinct(X0,X1)
% 171.38/171.62 | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12170_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21978,plain,
% 171.38/171.62 ( c_List_Odistinct(X0,X1)
% 171.38/171.62 | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3852]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21979,plain,
% 171.38/171.62 ( ~ c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 171.38/171.62 | c_List_Odistinct(X1,X2) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21978]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3850,plain,
% 171.38/171.62 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12171_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21974,plain,
% 171.38/171.62 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3850]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21975,plain,
% 171.38/171.62 ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X1,X2) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21974]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3848,plain,
% 171.38/171.62 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12172_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21970,plain,
% 171.38/171.62 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3848]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21971,plain,
% 171.38/171.62 ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X0,X2) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21970]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3846,plain,
% 171.38/171.62 ( c_List_Odistinct(X0,X1)
% 171.38/171.62 | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12173_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21966,plain,
% 171.38/171.62 ( c_List_Odistinct(X0,X1)
% 171.38/171.62 | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3846]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21967,plain,
% 171.38/171.62 ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 171.38/171.62 | c_List_Odistinct(X1,X2) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21966]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3844,plain,
% 171.38/171.62 ( c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil
% 171.38/171.62 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12174_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21962,plain,
% 171.38/171.62 ( c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil
% 171.38/171.62 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3844]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21963,plain,
% 171.38/171.62 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 171.38/171.62 | c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21962]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3838,plain,
% 171.38/171.62 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | 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)
% 171.38/171.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12176_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21950,plain,
% 171.38/171.62 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | 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)
% 171.38/171.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3838]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21951,plain,
% 171.38/171.62 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | 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) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21950]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3835,plain,
% 171.38/171.62 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | 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)
% 171.38/171.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12177_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21944,plain,
% 171.38/171.62 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | 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)
% 171.38/171.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3835]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21945,plain,
% 171.38/171.62 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | 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) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21944]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3832,plain,
% 171.38/171.62 ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 171.38/171.62 | X0 = c_List_Olist_ONil ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12178_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21938,plain,
% 171.38/171.62 ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 171.38/171.62 | X0 = c_List_Olist_ONil ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3832]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3830,plain,
% 171.38/171.62 ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 171.38/171.62 | X1 = c_List_Olist_ONil ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12179_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21934,plain,
% 171.38/171.62 ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 171.38/171.62 | X1 = c_List_Olist_ONil ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3830]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3828,plain,
% 171.38/171.62 ( X0 = c_0
% 171.38/171.62 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12180_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21930,plain,
% 171.38/171.62 ( X0 = c_0
% 171.38/171.62 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3828]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21931,plain,
% 171.38/171.62 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | X0 = c_0 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21930]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3825,plain,
% 171.38/171.62 ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 171.38/171.62 | ~ c_lessequals(X0,X2,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12183_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21924,plain,
% 171.38/171.62 ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 171.38/171.62 | ~ c_lessequals(X0,X2,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3825]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21925,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.62 | c_lessequals(c_OrderedGroup_Opprt(X1,X0),c_OrderedGroup_Opprt(X2,X0),X0)
% 171.38/171.62 | ~ c_lessequals(X1,X2,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21924]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3822,plain,
% 171.38/171.62 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 171.38/171.62 | ~ c_lessequals(X0,X2,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12184_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21918,plain,
% 171.38/171.62 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 171.38/171.62 | ~ c_lessequals(X0,X2,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3822]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21919,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.62 | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_OrderedGroup_Onprt(X2,X0),X0)
% 171.38/171.62 | ~ c_lessequals(X1,X2,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21918]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3819,plain,
% 171.38/171.62 ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 171.38/171.62 | ~ c_less(X2,X0,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12185_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21912,plain,
% 171.38/171.62 ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 171.38/171.62 | ~ c_less(X2,X0,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3819]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21913,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 171.38/171.62 | ~ c_less(X2,X1,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21912]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3816,plain,
% 171.38/171.62 ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 171.38/171.62 | ~ c_lessequals(X2,X0,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12186_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21906,plain,
% 171.38/171.62 ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 171.38/171.62 | ~ c_lessequals(X2,X0,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3816]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21907,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 171.38/171.62 | ~ c_lessequals(X2,X1,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21906]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3810,plain,
% 171.38/171.62 ( c_List_Otake(X0,X1,X2) = X1
% 171.38/171.62 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12188_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21894,plain,
% 171.38/171.62 ( c_List_Otake(X0,X1,X2) = X1
% 171.38/171.62 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3810]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21895,plain,
% 171.38/171.62 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 171.38/171.62 | c_List_Otake(X2,X0,X1) = X0 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21894]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3808,plain,
% 171.38/171.62 ( c_List_Orotate(X0,X1,X2) = X1
% 171.38/171.62 | c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0 ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12189_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21890,plain,
% 171.38/171.62 ( c_List_Orotate(X0,X1,X2) = X1
% 171.38/171.62 | c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0 ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3808]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21891,plain,
% 171.38/171.62 ( c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0
% 171.38/171.62 | c_List_Orotate(X0,X1,X2) = X1 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21890]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3806,plain,
% 171.38/171.62 ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil
% 171.38/171.62 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12190_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21886,plain,
% 171.38/171.62 ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil
% 171.38/171.62 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3806]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21887,plain,
% 171.38/171.62 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 171.38/171.62 | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21886]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3799,plain,
% 171.38/171.62 ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 171.38/171.62 | ~ c_less(X0,X2,tc_nat)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12193_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21872,plain,
% 171.38/171.62 ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 171.38/171.62 | ~ c_less(X0,X2,tc_nat)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3799]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21873,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.62 | c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 171.38/171.62 | ~ c_less(X1,X2,tc_nat) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21872]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3796,plain,
% 171.38/171.62 ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 171.38/171.62 | ~ c_lessequals(X0,X2,tc_nat)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12194_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21866,plain,
% 171.38/171.62 ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 171.38/171.62 | ~ c_lessequals(X0,X2,tc_nat)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3796]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21867,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.62 | c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 171.38/171.62 | ~ c_lessequals(X1,X2,tc_nat) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21866]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3793,plain,
% 171.38/171.62 ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 171.38/171.62 | ~ c_less(X0,X2,tc_IntDef_Oint)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12195_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21860,plain,
% 171.38/171.62 ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 171.38/171.62 | ~ c_less(X0,X2,tc_IntDef_Oint)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3793]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21861,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.62 | c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 171.38/171.62 | ~ c_less(X1,X2,tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21860]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3790,plain,
% 171.38/171.62 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 171.38/171.62 | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12196_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21854,plain,
% 171.38/171.62 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 171.38/171.62 | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3790]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21855,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.62 | c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 171.38/171.62 | ~ c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21854]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3788,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12197_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21850,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3788]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3782,plain,
% 171.38/171.62 ( c_List_Orotate(X0,X1,X2) = X1
% 171.38/171.62 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12199_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21838,plain,
% 171.38/171.62 ( c_List_Orotate(X0,X1,X2) = X1
% 171.38/171.62 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3782]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21839,plain,
% 171.38/171.62 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 171.38/171.62 | c_List_Orotate(X2,X0,X1) = X0 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21838]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3778,plain,
% 171.38/171.62 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12202_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21830,plain,
% 171.38/171.62 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3778]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21831,plain,
% 171.38/171.62 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21830]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3776,plain,
% 171.38/171.62 ( c_Parity_Oeven(X0,tc_nat)
% 171.38/171.62 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12203_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21826,plain,
% 171.38/171.62 ( c_Parity_Oeven(X0,tc_nat)
% 171.38/171.62 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3776]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21827,plain,
% 171.38/171.62 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 171.38/171.62 | c_Parity_Oeven(X0,tc_nat) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21826]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3773,plain,
% 171.38/171.62 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 171.38/171.62 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12204_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21820,plain,
% 171.38/171.62 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 171.38/171.62 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3773]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21821,plain,
% 171.38/171.62 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.62 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 171.38/171.62 | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21820]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3763,plain,
% 171.38/171.62 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 171.38/171.62 | X1 = X0
% 171.38/171.62 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12207_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21800,plain,
% 171.38/171.62 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 171.38/171.62 | X1 = X0
% 171.38/171.62 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3763]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21801,plain,
% 171.38/171.62 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 171.38/171.62 | ~ c_lessequals(X1,X0,tc_set(X2))
% 171.38/171.62 | X1 = X0 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21800]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3760,plain,
% 171.38/171.62 ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.38/171.62 | ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12208_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21794,plain,
% 171.38/171.62 ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.38/171.62 | ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oanalz(X1),tc_Message_Omsg) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3760]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21795,plain,
% 171.38/171.62 ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
% 171.38/171.62 | c_in(X0,c_Message_Oanalz(X2),tc_Message_Omsg) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21794]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3758,plain,
% 171.38/171.62 ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.38/171.62 | ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12209_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21790,plain,
% 171.38/171.62 ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.38/171.62 | ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oanalz(X1),tc_Message_Omsg) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3758]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21791,plain,
% 171.38/171.62 ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oanalz(X2),tc_Message_Omsg)
% 171.38/171.62 | c_in(X1,c_Message_Oanalz(X2),tc_Message_Omsg) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21790]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3756,plain,
% 171.38/171.62 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 171.38/171.62 | ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oparts(X1),tc_Message_Omsg) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12210_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21786,plain,
% 171.38/171.62 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 171.38/171.62 | ~ c_in(c_Message_Omsg_OMPair(X0,X2),c_Message_Oparts(X1),tc_Message_Omsg) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3756]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21787,plain,
% 171.38/171.62 ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
% 171.38/171.62 | c_in(X0,c_Message_Oparts(X2),tc_Message_Omsg) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21786]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3754,plain,
% 171.38/171.62 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 171.38/171.62 | ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12211_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21782,plain,
% 171.38/171.62 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 171.38/171.62 | ~ c_in(c_Message_Omsg_OMPair(X2,X0),c_Message_Oparts(X1),tc_Message_Omsg) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3754]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21783,plain,
% 171.38/171.62 ( ~ c_in(c_Message_Omsg_OMPair(X0,X1),c_Message_Oparts(X2),tc_Message_Omsg)
% 171.38/171.62 | c_in(X1,c_Message_Oparts(X2),tc_Message_Omsg) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21782]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3736,plain,
% 171.38/171.62 ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12216_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21746,plain,
% 171.38/171.62 ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3736]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3734,plain,
% 171.38/171.62 ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 171.38/171.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12217_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21742,plain,
% 171.38/171.62 ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 171.38/171.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3734]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3727,plain,
% 171.38/171.62 ( c_HOL_Oinverse(c_divide(X0,X1,X2),X2) = c_divide(X1,X0,X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12220_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21728,plain,
% 171.38/171.62 ( c_HOL_Oinverse(c_divide(X0,X1,X2),X2) = c_divide(X1,X0,X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3727]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21729,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_HOL_Oinverse(c_divide(X1,X2,X0),X0) = c_divide(X2,X1,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21728]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3722,plain,
% 171.38/171.62 ( X0 = c_0
% 171.38/171.62 | X1 = X2
% 171.38/171.62 | c_divide(X1,X0,X3) != c_divide(X2,X0,X3)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X3)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12221_4) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21718,plain,
% 171.38/171.62 ( X0 = c_0
% 171.38/171.62 | X1 = X2
% 171.38/171.62 | c_divide(X1,X0,X3) != c_divide(X2,X0,X3)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X3)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3722]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21719,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_divide(X1,X2,X0) != c_divide(X3,X2,X0)
% 171.38/171.62 | X2 = c_0
% 171.38/171.62 | X1 = X3 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21718]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3717,plain,
% 171.38/171.62 ( X0 = c_0
% 171.38/171.62 | X1 = X2
% 171.38/171.62 | c_divide(X0,X1,X3) != c_divide(X0,X2,X3)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X3)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12222_4) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21708,plain,
% 171.38/171.62 ( X0 = c_0
% 171.38/171.62 | X1 = X2
% 171.38/171.62 | c_divide(X0,X1,X3) != c_divide(X0,X2,X3)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X3)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3717]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21709,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_divide(X1,X2,X0) != c_divide(X1,X3,X0)
% 171.38/171.62 | X1 = c_0
% 171.38/171.62 | X2 = X3 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21708]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3714,plain,
% 171.38/171.62 ( c_less(X0,X1,X2)
% 171.38/171.62 | ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12223_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21702,plain,
% 171.38/171.62 ( c_less(X0,X1,X2)
% 171.38/171.62 | ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3714]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21703,plain,
% 171.38/171.62 ( ~ class_Orderings_Oord(X0)
% 171.38/171.62 | c_less(X1,X2,X0)
% 171.38/171.62 | ~ c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21702]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3711,plain,
% 171.38/171.62 ( c_less(X0,X1,X2)
% 171.38/171.62 | ~ c_in(X1,c_SetInterval_OgreaterThan(X0,X2),X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12224_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21696,plain,
% 171.38/171.62 ( c_less(X0,X1,X2)
% 171.38/171.62 | ~ c_in(X1,c_SetInterval_OgreaterThan(X0,X2),X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3711]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21697,plain,
% 171.38/171.62 ( ~ class_Orderings_Oord(X0)
% 171.38/171.62 | c_less(X1,X2,X0)
% 171.38/171.62 | ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21696]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3708,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,X2)
% 171.38/171.62 | ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12225_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21690,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,X2)
% 171.38/171.62 | ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3708]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21691,plain,
% 171.38/171.62 ( ~ class_Orderings_Oord(X0)
% 171.38/171.62 | c_lessequals(X1,X2,X0)
% 171.38/171.62 | ~ c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21690]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3705,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,X2)
% 171.38/171.62 | ~ c_in(X1,c_SetInterval_OatLeast(X0,X2),X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12226_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21684,plain,
% 171.38/171.62 ( c_lessequals(X0,X1,X2)
% 171.38/171.62 | ~ c_in(X1,c_SetInterval_OatLeast(X0,X2),X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3705]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21685,plain,
% 171.38/171.62 ( ~ class_Orderings_Oord(X0)
% 171.38/171.62 | c_lessequals(X1,X2,X0)
% 171.38/171.62 | ~ c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21684]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3699,plain,
% 171.38/171.62 ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12228_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21672,plain,
% 171.38/171.62 ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3699]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21673,plain,
% 171.38/171.62 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.62 | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21672]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3693,plain,
% 171.38/171.62 ( c_less(c_0,X0,X1)
% 171.38/171.62 | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12239_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21660,plain,
% 171.38/171.62 ( c_less(c_0,X0,X1)
% 171.38/171.62 | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3693]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21661,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | c_less(c_0,X1,X0)
% 171.38/171.62 | ~ c_less(c_uminus(X1,X0),c_0,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21660]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3690,plain,
% 171.38/171.62 ( c_lessequals(c_0,X0,X1)
% 171.38/171.62 | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12240_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21654,plain,
% 171.38/171.62 ( c_lessequals(c_0,X0,X1)
% 171.38/171.62 | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3690]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21655,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | c_lessequals(c_0,X1,X0)
% 171.38/171.62 | ~ c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21654]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3687,plain,
% 171.38/171.62 ( c_less(X0,c_0,X1)
% 171.38/171.62 | ~ c_less(c_0,c_uminus(X0,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12241_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21648,plain,
% 171.38/171.62 ( c_less(X0,c_0,X1)
% 171.38/171.62 | ~ c_less(c_0,c_uminus(X0,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3687]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21649,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | ~ c_less(c_0,c_uminus(X1,X0),X0)
% 171.38/171.62 | c_less(X1,c_0,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21648]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3684,plain,
% 171.38/171.62 ( c_lessequals(X0,c_0,X1)
% 171.38/171.62 | ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12242_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21642,plain,
% 171.38/171.62 ( c_lessequals(X0,c_0,X1)
% 171.38/171.62 | ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 171.38/171.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3684]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21643,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.62 | ~ c_lessequals(c_0,c_uminus(X1,X0),X0)
% 171.38/171.62 | c_lessequals(X1,c_0,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21642]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3681,plain,
% 171.38/171.62 ( c_less(c_0,X0,tc_nat)
% 171.38/171.62 | ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12245_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21636,plain,
% 171.38/171.62 ( c_less(c_0,X0,tc_nat)
% 171.38/171.62 | ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3681]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21637,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.62 | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 171.38/171.62 | c_less(c_0,X1,tc_nat) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21636]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3678,plain,
% 171.38/171.62 ( c_less(X0,c_0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12246_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21630,plain,
% 171.38/171.62 ( c_less(X0,c_0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3678]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21631,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.62 | ~ c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 171.38/171.62 | c_less(X1,c_0,tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21630]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3675,plain,
% 171.38/171.62 ( c_lessequals(X0,c_0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12247_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21624,plain,
% 171.38/171.62 ( c_lessequals(X0,c_0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3675]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21625,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.62 | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 171.38/171.62 | c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21624]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3672,plain,
% 171.38/171.62 ( c_less(c_0,X0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12248_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21618,plain,
% 171.38/171.62 ( c_less(c_0,X0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3672]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21619,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.62 | ~ c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 171.38/171.62 | c_less(c_0,X1,tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21618]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3669,plain,
% 171.38/171.62 ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12249_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21612,plain,
% 171.38/171.62 ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 171.38/171.62 | ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3669]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21613,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.62 | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 171.38/171.62 | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21612]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3659,plain,
% 171.38/171.62 ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12252_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21592,plain,
% 171.38/171.62 ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3659]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21593,plain,
% 171.38/171.62 ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21592]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3657,plain,
% 171.38/171.62 ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
% 171.38/171.62 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12253_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21588,plain,
% 171.38/171.62 ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
% 171.38/171.62 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3657]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21589,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.62 | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21588]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3653,plain,
% 171.38/171.62 ( X0 = c_0
% 171.38/171.62 | X1 = X2
% 171.38/171.62 | c_times(X1,X0,X3) != c_times(X2,X0,X3)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X3) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12254_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21580,plain,
% 171.38/171.62 ( X0 = c_0
% 171.38/171.62 | X1 = X2
% 171.38/171.62 | c_times(X1,X0,X3) != c_times(X2,X0,X3)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X3) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3653]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21581,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_times(X1,X2,X0) != c_times(X3,X2,X0)
% 171.38/171.62 | X2 = c_0
% 171.38/171.62 | X1 = X3 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21580]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3649,plain,
% 171.38/171.62 ( X0 = c_0
% 171.38/171.62 | X1 = X2
% 171.38/171.62 | c_times(X0,X1,X3) != c_times(X0,X2,X3)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X3) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12255_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21572,plain,
% 171.38/171.62 ( X0 = c_0
% 171.38/171.62 | X1 = X2
% 171.38/171.62 | c_times(X0,X1,X3) != c_times(X0,X2,X3)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X3) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3649]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21573,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_times(X1,X2,X0) != c_times(X1,X3,X0)
% 171.38/171.62 | X1 = c_0
% 171.38/171.62 | X2 = X3 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21572]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3646,plain,
% 171.38/171.62 ( X0 = X1
% 171.38/171.62 | c_plus(X0,X2,X3) != c_plus(X1,X2,X3)
% 171.38/171.62 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12258_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21566,plain,
% 171.38/171.62 ( X0 = X1
% 171.38/171.62 | c_plus(X0,X2,X3) != c_plus(X1,X2,X3)
% 171.38/171.62 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3646]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21567,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.62 | c_plus(X1,X2,X0) != c_plus(X3,X2,X0)
% 171.38/171.62 | X1 = X3 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21566]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3643,plain,
% 171.38/171.62 ( X0 = X1
% 171.38/171.62 | c_plus(X2,X0,X3) != c_plus(X2,X1,X3)
% 171.38/171.62 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12259_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21560,plain,
% 171.38/171.62 ( X0 = X1
% 171.38/171.62 | c_plus(X2,X0,X3) != c_plus(X2,X1,X3)
% 171.38/171.62 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3643]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21561,plain,
% 171.38/171.62 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.62 | c_plus(X1,X2,X0) != c_plus(X1,X3,X0)
% 171.38/171.62 | X2 = X3 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21560]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3637,plain,
% 171.38/171.62 ( X0 = c_List_Olist_ONil
% 171.38/171.62 | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 171.38/171.62 | ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12261_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21548,plain,
% 171.38/171.62 ( X0 = c_List_Olist_ONil
% 171.38/171.62 | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 171.38/171.62 | ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3637]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21549,plain,
% 171.38/171.62 ( ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
% 171.38/171.62 | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 171.38/171.62 | X0 = c_List_Olist_ONil ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21548]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3633,plain,
% 171.38/171.62 ( c_times(X0,c_divide(X1,X0,X2),X2) = X1
% 171.38/171.62 | X0 = c_0
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12262_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21540,plain,
% 171.38/171.62 ( c_times(X0,c_divide(X1,X0,X2),X2) = X1
% 171.38/171.62 | X0 = c_0
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3633]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21541,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_times(X1,c_divide(X2,X1,X0),X0) = X2
% 171.38/171.62 | X1 = c_0 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21540]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3629,plain,
% 171.38/171.62 ( c_times(c_divide(X0,X1,X2),X1,X2) = X0
% 171.38/171.62 | X1 = c_0
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12263_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21532,plain,
% 171.38/171.62 ( c_times(c_divide(X0,X1,X2),X1,X2) = X0
% 171.38/171.62 | X1 = c_0
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3629]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21533,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_times(c_divide(X1,X2,X0),X2,X0) = X1
% 171.38/171.62 | X2 = c_0 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21532]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3625,plain,
% 171.38/171.62 ( c_divide(c_times(X0,X1,X2),X1,X2) = X0
% 171.38/171.62 | X1 = c_0
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12264_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21524,plain,
% 171.38/171.62 ( c_divide(c_times(X0,X1,X2),X1,X2) = X0
% 171.38/171.62 | X1 = c_0
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3625]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21525,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_divide(c_times(X1,X2,X0),X2,X0) = X1
% 171.38/171.62 | X2 = c_0 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21524]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3621,plain,
% 171.38/171.62 ( c_divide(c_times(X0,X1,X2),X0,X2) = X1
% 171.38/171.62 | X0 = c_0
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12265_3) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21516,plain,
% 171.38/171.62 ( c_divide(c_times(X0,X1,X2),X0,X2) = X1
% 171.38/171.62 | X0 = c_0
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3621]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21517,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_divide(c_times(X1,X2,X0),X1,X0) = X2
% 171.38/171.62 | X1 = c_0 ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21516]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3619,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12266_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21512,plain,
% 171.38/171.62 ( 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)
% 171.38/171.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3619]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21513,plain,
% 171.38/171.62 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.62 | 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) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21512]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3617,plain,
% 171.38/171.62 ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 171.38/171.62 | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12267_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21508,plain,
% 171.38/171.62 ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 171.38/171.62 | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3617]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3599,plain,
% 171.38/171.62 ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 171.38/171.62 | X0 = c_0 ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12274_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21472,plain,
% 171.38/171.62 ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 171.38/171.62 | X0 = c_0 ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3599]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3596,plain,
% 171.38/171.62 ( c_divide(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_divide(X0,X2,X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12276_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21466,plain,
% 171.38/171.62 ( c_divide(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_divide(X0,X2,X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3596]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21467,plain,
% 171.38/171.62 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.62 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.62 | c_divide(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_divide(X1,X2,X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21466]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3594,plain,
% 171.38/171.62 ( c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
% 171.38/171.62 | ~ c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12278_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21462,plain,
% 171.38/171.62 ( c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
% 171.38/171.62 | ~ c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3594]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21463,plain,
% 171.38/171.62 ( ~ c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
% 171.38/171.62 | c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21462]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3592,plain,
% 171.38/171.62 ( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
% 171.38/171.62 | ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12279_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21458,plain,
% 171.38/171.62 ( c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
% 171.38/171.62 | ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3592]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21459,plain,
% 171.38/171.62 ( ~ c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
% 171.38/171.62 | c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21458]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3590,plain,
% 171.38/171.62 ( c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
% 171.38/171.62 | ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12280_1) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21454,plain,
% 171.38/171.62 ( c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
% 171.38/171.62 | ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3590]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21455,plain,
% 171.38/171.62 ( ~ c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
% 171.38/171.62 | c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21454]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3587,plain,
% 171.38/171.62 ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 171.38/171.62 | ~ c_less(X0,X1,X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12281_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21448,plain,
% 171.38/171.62 ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 171.38/171.62 | ~ c_less(X0,X1,X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3587]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21449,plain,
% 171.38/171.62 ( ~ class_Orderings_Oord(X0)
% 171.38/171.62 | ~ c_less(X1,X2,X0)
% 171.38/171.62 | c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21448]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3584,plain,
% 171.38/171.62 ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 171.38/171.62 | ~ c_less(X1,X0,X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12282_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21442,plain,
% 171.38/171.62 ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 171.38/171.62 | ~ c_less(X1,X0,X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3584]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21443,plain,
% 171.38/171.62 ( ~ class_Orderings_Oord(X0)
% 171.38/171.62 | ~ c_less(X1,X2,X0)
% 171.38/171.62 | c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21442]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3581,plain,
% 171.38/171.62 ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 171.38/171.62 | ~ c_lessequals(X0,X1,X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12283_2) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21436,plain,
% 171.38/171.62 ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 171.38/171.62 | ~ c_lessequals(X0,X1,X2)
% 171.38/171.62 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.62 inference(copy,[status(esa)],[c_3581]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_21437,plain,
% 171.38/171.62 ( ~ class_Orderings_Oord(X0)
% 171.38/171.62 | ~ c_lessequals(X1,X2,X0)
% 171.38/171.62 | c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 171.38/171.62 inference(rewriting,[status(thm)],[c_21436]) ).
% 171.38/171.62
% 171.38/171.62 cnf(c_3578,plain,
% 171.38/171.62 ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 171.38/171.63 | ~ c_lessequals(X1,X0,X2)
% 171.38/171.63 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12284_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21430,plain,
% 171.38/171.63 ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 171.38/171.63 | ~ c_lessequals(X1,X0,X2)
% 171.38/171.63 | ~ class_Orderings_Oord(X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3578]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21431,plain,
% 171.38/171.63 ( ~ class_Orderings_Oord(X0)
% 171.38/171.63 | ~ c_lessequals(X1,X2,X0)
% 171.38/171.63 | c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21430]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3576,plain,
% 171.38/171.63 ( c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat)
% 171.38/171.63 | ~ c_less(X0,X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12286_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21426,plain,
% 171.38/171.63 ( c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat)
% 171.38/171.63 | ~ c_less(X0,X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3576]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21427,plain,
% 171.38/171.63 ( ~ c_less(X0,X1,tc_nat)
% 171.38/171.63 | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21426]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3574,plain,
% 171.38/171.63 ( X0 = X1 | c_Sum__Type_OInr(X0,X2,X3) != c_Sum__Type_OInr(X1,X2,X3) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12287_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21422,plain,
% 171.38/171.63 ( X0 = X1 | c_Sum__Type_OInr(X0,X2,X3) != c_Sum__Type_OInr(X1,X2,X3) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3574]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21423,plain,
% 171.38/171.63 ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInr(X3,X1,X2) | X0 = X3 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21422]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3572,plain,
% 171.38/171.63 ( X0 = X1 | c_Sum__Type_OInl(X0,X2,X3) != c_Sum__Type_OInl(X1,X2,X3) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12288_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21418,plain,
% 171.38/171.63 ( X0 = X1 | c_Sum__Type_OInl(X0,X2,X3) != c_Sum__Type_OInl(X1,X2,X3) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3572]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21419,plain,
% 171.38/171.63 ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) | X0 = X3 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21418]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3566,plain,
% 171.38/171.63 ( X0 = X1 | c_append(X2,X0,X3) != c_append(X2,X1,X3) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12290_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21406,plain,
% 171.38/171.63 ( X0 = X1 | c_append(X2,X0,X3) != c_append(X2,X1,X3) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3566]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21407,plain,
% 171.38/171.63 ( c_append(X0,X1,X2) != c_append(X0,X3,X2) | X1 = X3 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21406]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3564,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12291_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21402,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3564]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21403,plain,
% 171.38/171.63 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 171.38/171.63 | X1 = X4 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21402]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3562,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12292_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21398,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3562]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21399,plain,
% 171.38/171.63 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 171.38/171.63 | X0 = X3 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21398]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3560,plain,
% 171.38/171.63 ( X0 = X1 | c_append(X0,X2,X3) != c_append(X1,X2,X3) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12293_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21394,plain,
% 171.38/171.63 ( X0 = X1 | c_append(X0,X2,X3) != c_append(X1,X2,X3) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3560]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21395,plain,
% 171.38/171.63 ( c_append(X0,X1,X2) != c_append(X3,X1,X2) | X0 = X3 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21394]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3558,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_Datatype__Universe_OIn1(X0,X2,X3) != c_Datatype__Universe_OIn1(X1,X2,X3) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12294_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21390,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_Datatype__Universe_OIn1(X0,X2,X3) != c_Datatype__Universe_OIn1(X1,X2,X3) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3558]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21391,plain,
% 171.38/171.63 ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2)
% 171.38/171.63 | X0 = X3 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21390]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3556,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_Datatype__Universe_OIn0(X0,X2,X3) != c_Datatype__Universe_OIn0(X1,X2,X3) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12295_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21386,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_Datatype__Universe_OIn0(X0,X2,X3) != c_Datatype__Universe_OIn0(X1,X2,X3) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3556]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21387,plain,
% 171.38/171.63 ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2)
% 171.38/171.63 | X0 = X3 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21386]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3554,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_Datatype__Universe_OAtom(X0,X2,X3) != c_Datatype__Universe_OAtom(X1,X2,X3) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12296_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21382,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_Datatype__Universe_OAtom(X0,X2,X3) != c_Datatype__Universe_OAtom(X1,X2,X3) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3554]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21383,plain,
% 171.38/171.63 ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OAtom(X3,X1,X2)
% 171.38/171.63 | X0 = X3 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21382]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3552,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_Datatype__Universe_ONumb(X0,X2,X3) != c_Datatype__Universe_ONumb(X1,X2,X3) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12297_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21378,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_Datatype__Universe_ONumb(X0,X2,X3) != c_Datatype__Universe_ONumb(X1,X2,X3) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3552]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21379,plain,
% 171.38/171.63 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2)
% 171.38/171.63 | X0 = X3 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21378]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3550,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_Datatype__Universe_OLeaf(X0,X2,X3) != c_Datatype__Universe_OLeaf(X1,X2,X3) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12298_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21374,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_Datatype__Universe_OLeaf(X0,X2,X3) != c_Datatype__Universe_OLeaf(X1,X2,X3) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3550]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21375,plain,
% 171.38/171.63 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2)
% 171.38/171.63 | X0 = X3 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21374]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3548,plain,
% 171.38/171.63 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12299_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21370,plain,
% 171.38/171.63 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3548]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21371,plain,
% 171.38/171.63 ( ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 171.38/171.63 | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21370]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3546,plain,
% 171.38/171.63 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12300_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21366,plain,
% 171.38/171.63 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3546]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21367,plain,
% 171.38/171.63 ( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21366]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3544,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12305_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21362,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3544]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21363,plain,
% 171.38/171.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | 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) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21362]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3542,plain,
% 171.38/171.63 ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12307_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21358,plain,
% 171.38/171.63 ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3542]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21359,plain,
% 171.38/171.63 ( ~ c_in(X0,c_Message_Osynth(c_Message_Osynth(X1)),tc_Message_Omsg)
% 171.38/171.63 | c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21358]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3540,plain,
% 171.38/171.63 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12308_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21354,plain,
% 171.38/171.63 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3540]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21355,plain,
% 171.38/171.63 ( ~ c_in(X0,c_Message_Oparts(c_Message_Oparts(X1)),tc_Message_Omsg)
% 171.38/171.63 | c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21354]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3538,plain,
% 171.38/171.63 ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12309_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21350,plain,
% 171.38/171.63 ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3538]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21351,plain,
% 171.38/171.63 ( ~ c_in(X0,c_Message_Oanalz(c_Message_Oanalz(X1)),tc_Message_Omsg)
% 171.38/171.63 | c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21350]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3535,plain,
% 171.38/171.63 ( c_times(c_0,c_divide(X0,c_0,X1),X1) = c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12310_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21344,plain,
% 171.38/171.63 ( c_times(c_0,c_divide(X0,c_0,X1),X1) = c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3535]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21345,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_times(c_0,c_divide(X1,c_0,X0),X0) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21344]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3532,plain,
% 171.38/171.63 ( c_times(c_divide(X0,c_0,X1),c_0,X1) = c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12311_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21338,plain,
% 171.38/171.63 ( c_times(c_divide(X0,c_0,X1),c_0,X1) = c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3532]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21339,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_times(c_divide(X1,c_0,X0),c_0,X0) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21338]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3529,plain,
% 171.38/171.63 ( c_divide(c_times(X0,c_0,X1),c_0,X1) = c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12312_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21332,plain,
% 171.38/171.63 ( c_divide(c_times(X0,c_0,X1),c_0,X1) = c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3529]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21333,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_divide(c_times(X1,c_0,X0),c_0,X0) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21332]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3526,plain,
% 171.38/171.63 ( c_divide(c_0,c_times(X0,c_0,X1),X1) = c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12313_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21326,plain,
% 171.38/171.63 ( c_divide(c_0,c_times(X0,c_0,X1),X1) = c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3526]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21327,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_divide(c_0,c_times(X1,c_0,X0),X0) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21326]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3523,plain,
% 171.38/171.63 ( c_divide(c_times(c_0,X0,X1),c_0,X1) = c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12314_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21320,plain,
% 171.38/171.63 ( c_divide(c_times(c_0,X0,X1),c_0,X1) = c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3523]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21321,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_divide(c_times(c_0,X1,X0),c_0,X0) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21320]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3520,plain,
% 171.38/171.63 ( c_divide(c_0,c_times(c_0,X0,X1),X1) = c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12315_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21314,plain,
% 171.38/171.63 ( c_divide(c_0,c_times(c_0,X0,X1),X1) = c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3520]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21315,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_divide(c_0,c_times(c_0,X1,X0),X0) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21314]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3518,plain,
% 171.38/171.63 ( X0 = X1 | c_insert(X0,X2,X3) != c_insert(X1,c_emptyset,X3) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12322_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21310,plain,
% 171.38/171.63 ( X0 = X1 | c_insert(X0,X2,X3) != c_insert(X1,c_emptyset,X3) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3518]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21311,plain,
% 171.38/171.63 ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2) | X0 = X3 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21310]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3516,plain,
% 171.38/171.63 ( X0 = X1 | c_insert(X1,c_emptyset,X2) != c_insert(X0,X3,X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12323_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21306,plain,
% 171.38/171.63 ( X0 = X1 | c_insert(X1,c_emptyset,X2) != c_insert(X0,X3,X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3516]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21307,plain,
% 171.38/171.63 ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1) | X2 = X0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21306]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3514,plain,
% 171.38/171.63 ( c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
% 171.38/171.63 | ~ c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12324_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21302,plain,
% 171.38/171.63 ( c_lessequals(c_Message_Osynth(X0),c_Message_Osynth(X1),tc_set(tc_Message_Omsg))
% 171.38/171.63 | ~ c_lessequals(X0,c_Message_Osynth(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3514]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3512,plain,
% 171.38/171.63 ( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
% 171.38/171.63 | ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12325_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21298,plain,
% 171.38/171.63 ( c_lessequals(c_Message_Oparts(X0),c_Message_Oparts(X1),tc_set(tc_Message_Omsg))
% 171.38/171.63 | ~ c_lessequals(X0,c_Message_Oparts(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3512]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3510,plain,
% 171.38/171.63 ( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
% 171.38/171.63 | ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12326_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21294,plain,
% 171.38/171.63 ( c_lessequals(c_Message_Oanalz(X0),c_Message_Oanalz(X1),tc_set(tc_Message_Omsg))
% 171.38/171.63 | ~ c_lessequals(X0,c_Message_Oanalz(X1),tc_set(tc_Message_Omsg)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3510]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3507,plain,
% 171.38/171.63 ( c_less(c_uminus(X0,X1),c_0,X1)
% 171.38/171.63 | ~ c_less(c_0,X0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12329_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21288,plain,
% 171.38/171.63 ( c_less(c_uminus(X0,X1),c_0,X1)
% 171.38/171.63 | ~ c_less(c_0,X0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3507]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21289,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.63 | ~ c_less(c_0,X1,X0)
% 171.38/171.63 | c_less(c_uminus(X1,X0),c_0,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21288]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3504,plain,
% 171.38/171.63 ( c_lessequals(c_uminus(X0,X1),c_0,X1)
% 171.38/171.63 | ~ c_lessequals(c_0,X0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12330_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21282,plain,
% 171.38/171.63 ( c_lessequals(c_uminus(X0,X1),c_0,X1)
% 171.38/171.63 | ~ c_lessequals(c_0,X0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3504]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21283,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.63 | ~ c_lessequals(c_0,X1,X0)
% 171.38/171.63 | c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21282]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3501,plain,
% 171.38/171.63 ( c_less(c_0,c_uminus(X0,X1),X1)
% 171.38/171.63 | ~ c_less(X0,c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12331_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21276,plain,
% 171.38/171.63 ( c_less(c_0,c_uminus(X0,X1),X1)
% 171.38/171.63 | ~ c_less(X0,c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3501]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21277,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.63 | c_less(c_0,c_uminus(X1,X0),X0)
% 171.38/171.63 | ~ c_less(X1,c_0,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21276]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3498,plain,
% 171.38/171.63 ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 171.38/171.63 | ~ c_lessequals(X0,c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12332_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21270,plain,
% 171.38/171.63 ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 171.38/171.63 | ~ c_lessequals(X0,c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3498]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21271,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.63 | c_lessequals(c_0,c_uminus(X1,X0),X0)
% 171.38/171.63 | ~ c_lessequals(X1,c_0,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21270]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3495,plain,
% 171.38/171.63 ( X0 = c_0 | X1 = X2 | c_times(X1,X0,tc_nat) != c_times(X2,X0,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12333_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21264,plain,
% 171.38/171.63 ( X0 = c_0 | X1 = X2 | c_times(X1,X0,tc_nat) != c_times(X2,X0,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3495]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21265,plain,
% 171.38/171.63 ( c_times(X0,X1,tc_nat) != c_times(X2,X1,tc_nat) | X1 = c_0 | X0 = X2 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21264]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3492,plain,
% 171.38/171.63 ( X0 = c_0 | X1 = X2 | c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12334_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21258,plain,
% 171.38/171.63 ( X0 = c_0 | X1 = X2 | c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3492]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21259,plain,
% 171.38/171.63 ( c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) | X0 = c_0 | X1 = X2 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21258]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3489,plain,
% 171.38/171.63 ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 171.38/171.63 | ~ c_in(X0,c_IntDef_OInts,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12335_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21252,plain,
% 171.38/171.63 ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 171.38/171.63 | ~ c_in(X0,c_IntDef_OInts,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3489]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21253,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.63 | c_in(c_uminus(X1,X0),c_IntDef_OInts,X0)
% 171.38/171.63 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21252]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3479,plain,
% 171.38/171.63 ( X0 = X1 | c_plus(X0,X2,tc_nat) != c_plus(X1,X2,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12340_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21232,plain,
% 171.38/171.63 ( X0 = X1 | c_plus(X0,X2,tc_nat) != c_plus(X1,X2,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3479]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21233,plain,
% 171.38/171.63 ( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) | X0 = X2 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21232]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3477,plain,
% 171.38/171.63 ( X0 = X1 | c_plus(X2,X0,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12341_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21228,plain,
% 171.38/171.63 ( X0 = X1 | c_plus(X2,X0,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3477]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21229,plain,
% 171.38/171.63 ( c_plus(X0,X1,tc_nat) != c_plus(X0,X2,tc_nat) | X1 = X2 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21228]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3475,plain,
% 171.38/171.63 ( X0 = X1 | c_insert(X0,c_emptyset,X2) != c_insert(X1,c_emptyset,X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12342_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21224,plain,
% 171.38/171.63 ( X0 = X1 | c_insert(X0,c_emptyset,X2) != c_insert(X1,c_emptyset,X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3475]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21225,plain,
% 171.38/171.63 ( c_insert(X0,c_emptyset,X1) != c_insert(X2,c_emptyset,X1) | X0 = X2 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21224]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3472,plain,
% 171.38/171.63 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 171.38/171.63 | c_Numeral_Onumber__of(X0,X2) != c_Numeral_Onumber__of(X1,X2)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12343_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21218,plain,
% 171.38/171.63 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 171.38/171.63 | c_Numeral_Onumber__of(X0,X2) != c_Numeral_Onumber__of(X1,X2)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3472]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21219,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.63 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 171.38/171.63 | c_Numeral_Onumber__of(X1,X0) != c_Numeral_Onumber__of(X2,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21218]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3470,plain,
% 171.38/171.63 ( c_times(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_times(X0,X2,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Oring(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12344_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21214,plain,
% 171.38/171.63 ( c_times(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_times(X0,X2,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Oring(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3470]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21215,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Oring(X0)
% 171.38/171.63 | c_times(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_times(X1,X2,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21214]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3467,plain,
% 171.38/171.63 ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 171.38/171.63 | ~ c_less(c_0,X0,tc_nat)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12345_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21208,plain,
% 171.38/171.63 ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 171.38/171.63 | ~ c_less(c_0,X0,tc_nat)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3467]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21209,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.63 | c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 171.38/171.63 | ~ c_less(c_0,X1,tc_nat) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21208]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3464,plain,
% 171.38/171.63 ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 171.38/171.63 | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12346_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21202,plain,
% 171.38/171.63 ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 171.38/171.63 | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3464]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21203,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.63 | c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 171.38/171.63 | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21202]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3461,plain,
% 171.38/171.63 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 171.38/171.63 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12347_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21196,plain,
% 171.38/171.63 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 171.38/171.63 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3461]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21197,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.63 | c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 171.38/171.63 | ~ c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21196]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3458,plain,
% 171.38/171.63 ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 171.38/171.63 | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12348_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21190,plain,
% 171.38/171.63 ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 171.38/171.63 | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3458]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21191,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.63 | c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 171.38/171.63 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21190]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3455,plain,
% 171.38/171.63 ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 171.38/171.63 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12349_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21184,plain,
% 171.38/171.63 ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 171.38/171.63 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3455]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21185,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.63 | c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 171.38/171.63 | ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21184]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3453,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12350_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21180,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3453]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21181,plain,
% 171.38/171.63 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | 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) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21180]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3450,plain,
% 171.38/171.63 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12351_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21174,plain,
% 171.38/171.63 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3450]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3446,plain,
% 171.38/171.63 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12352_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21166,plain,
% 171.38/171.63 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3446]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3443,plain,
% 171.38/171.63 ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0
% 171.38/171.63 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12353_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21160,plain,
% 171.38/171.63 ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0
% 171.38/171.63 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3443]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21161,plain,
% 171.38/171.63 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 171.38/171.63 | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21160]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3441,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12356_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21156,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3441]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21157,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.63 | 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) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21156]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3439,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12357_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21152,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3439]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21153,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.63 | 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) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21152]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3437,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12358_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21148,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3437]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21149,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.63 | 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) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21148]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3435,plain,
% 171.38/171.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12359_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21144,plain,
% 171.38/171.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3435]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21145,plain,
% 171.38/171.63 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.38/171.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21144]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3429,plain,
% 171.38/171.63 ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 171.38/171.63 | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12362_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21132,plain,
% 171.38/171.63 ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 171.38/171.63 | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3429]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21133,plain,
% 171.38/171.63 ( c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint) != c_0
% 171.38/171.63 | c_times(X1,c_Main_Ozmod__eq__0D__dest__1(X1,X0),tc_IntDef_Oint) = X0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21132]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3427,plain,
% 171.38/171.63 ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 171.38/171.63 | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12363_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21128,plain,
% 171.38/171.63 ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 171.38/171.63 | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3427]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21129,plain,
% 171.38/171.63 ( c_Divides_Oop_Amod(X0,X1,tc_nat) != c_0
% 171.38/171.63 | c_times(X1,c_Main_Omod__eq__0D__dest__1(X1,X0),tc_nat) = X0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21128]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3425,plain,
% 171.38/171.63 ( c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12364_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21124,plain,
% 171.38/171.63 ( c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3425]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21125,plain,
% 171.38/171.63 ( ~ c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.63 | c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21124]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3423,plain,
% 171.38/171.63 ( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12365_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21120,plain,
% 171.38/171.63 ( c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3423]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21121,plain,
% 171.38/171.63 ( ~ c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.63 | c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21120]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3421,plain,
% 171.38/171.63 ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12371_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21116,plain,
% 171.38/171.63 ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3421]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3419,plain,
% 171.38/171.63 ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12372_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21112,plain,
% 171.38/171.63 ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3419]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3417,plain,
% 171.38/171.63 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 171.38/171.63 | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X0,X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12381_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21108,plain,
% 171.38/171.63 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 171.38/171.63 | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X0,X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3417]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21109,plain,
% 171.38/171.63 ( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_List_Orev(X2,X1)
% 171.38/171.63 | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21108]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3415,plain,
% 171.38/171.63 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 171.38/171.63 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12382_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21104,plain,
% 171.38/171.63 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 171.38/171.63 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3415]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21105,plain,
% 171.38/171.63 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X1)
% 171.38/171.63 | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X1) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21104]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3413,plain,
% 171.38/171.63 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 171.38/171.63 | X0 = c_0 ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12383_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21100,plain,
% 171.38/171.63 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 171.38/171.63 | X0 = c_0 ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3413]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3411,plain,
% 171.38/171.63 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 171.38/171.63 | X1 = c_0 ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12384_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21096,plain,
% 171.38/171.63 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 171.38/171.63 | X1 = c_0 ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3411]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3408,plain,
% 171.38/171.63 ( X0 = X1 | c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12385_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21090,plain,
% 171.38/171.63 ( X0 = X1 | c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3408]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21091,plain,
% 171.38/171.63 ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_less(X0,X1,tc_set(X2)) | X0 = X1 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21090]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3406,plain,
% 171.38/171.63 ( c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12386_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21086,plain,
% 171.38/171.63 ( c_in(c_Message_Omsg_OHash(X0),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3406]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3404,plain,
% 171.38/171.63 ( c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12387_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21082,plain,
% 171.38/171.63 ( c_in(c_Message_Omsg_ONonce(X0),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(c_Message_Omsg_ONonce(X0),X1,tc_Message_Omsg) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3404]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3402,plain,
% 171.38/171.63 ( c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12388_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21078,plain,
% 171.38/171.63 ( c_in(c_Message_Omsg_OKey(X0),c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(c_Message_Omsg_OKey(X0),X1,tc_Message_Omsg) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3402]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3399,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12390_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21072,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3399]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3396,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 171.38/171.63 | ~ c_Parity_Oeven(X0,tc_nat)
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12391_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21066,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 171.38/171.63 | ~ c_Parity_Oeven(X0,tc_nat)
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3396]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3393,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12392_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21060,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3393]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3391,plain,
% 171.38/171.63 ( X0 = c_0 | c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12393_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21056,plain,
% 171.38/171.63 ( X0 = c_0 | c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3391]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21057,plain,
% 171.38/171.63 ( c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) | X0 = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21056]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3389,plain,
% 171.38/171.63 ( c_minus(X0,X1,tc_set(X2)) = c_emptyset
% 171.38/171.63 | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12406_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21052,plain,
% 171.38/171.63 ( c_minus(X0,X1,tc_set(X2)) = c_emptyset
% 171.38/171.63 | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3389]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21053,plain,
% 171.38/171.63 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 171.38/171.63 | c_minus(X0,X1,tc_set(X2)) = c_emptyset ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21052]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3387,plain,
% 171.38/171.63 ( c_lessequals(X0,X1,tc_set(X2))
% 171.38/171.63 | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12407_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21048,plain,
% 171.38/171.63 ( c_lessequals(X0,X1,tc_set(X2))
% 171.38/171.63 | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3387]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3385,plain,
% 171.38/171.63 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12408_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21044,plain,
% 171.38/171.63 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3385]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3383,plain,
% 171.38/171.63 ( c_List_Orotate1(X0,X1) = X0
% 171.38/171.63 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12409_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21040,plain,
% 171.38/171.63 ( c_List_Orotate1(X0,X1) = X0
% 171.38/171.63 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3383]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21041,plain,
% 171.38/171.63 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 171.38/171.63 | c_List_Orotate1(X0,X1) = X0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21040]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3381,plain,
% 171.38/171.63 ( c_less(X0,X1,tc_nat) | ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12410_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21036,plain,
% 171.38/171.63 ( c_less(X0,X1,tc_nat) | ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3381]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21037,plain,
% 171.38/171.63 ( ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) | c_less(X0,X1,tc_nat) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21036]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3379,plain,
% 171.38/171.63 ( c_lessequals(X0,X1,tc_nat)
% 171.38/171.63 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12411_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21032,plain,
% 171.38/171.63 ( c_lessequals(X0,X1,tc_nat)
% 171.38/171.63 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3379]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21033,plain,
% 171.38/171.63 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 171.38/171.63 | c_lessequals(X0,X1,tc_nat) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21032]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3377,plain,
% 171.38/171.63 ( c_less(X0,X1,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12412_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21028,plain,
% 171.38/171.63 ( c_less(X0,X1,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3377]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21029,plain,
% 171.38/171.63 ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 171.38/171.63 | c_less(X0,X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21028]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3375,plain,
% 171.38/171.63 ( c_less(X0,X1,tc_nat)
% 171.38/171.63 | ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12413_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21024,plain,
% 171.38/171.63 ( c_less(X0,X1,tc_nat)
% 171.38/171.63 | ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3375]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21025,plain,
% 171.38/171.63 ( ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 171.38/171.63 | c_less(X0,X1,tc_nat) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21024]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3373,plain,
% 171.38/171.63 ( c_lessequals(X0,X1,tc_nat)
% 171.38/171.63 | ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12414_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21020,plain,
% 171.38/171.63 ( c_lessequals(X0,X1,tc_nat)
% 171.38/171.63 | ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3373]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21021,plain,
% 171.38/171.63 ( ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 171.38/171.63 | c_lessequals(X0,X1,tc_nat) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21020]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3371,plain,
% 171.38/171.63 ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12415_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21016,plain,
% 171.38/171.63 ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3371]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21017,plain,
% 171.38/171.63 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21016]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3369,plain,
% 171.38/171.63 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12416_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21012,plain,
% 171.38/171.63 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3369]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21013,plain,
% 171.38/171.63 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21012]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3367,plain,
% 171.38/171.63 ( c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12417_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21008,plain,
% 171.38/171.63 ( c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3367]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21009,plain,
% 171.38/171.63 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21008]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3365,plain,
% 171.38/171.63 ( c_less(c_0,X0,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12418_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21004,plain,
% 171.38/171.63 ( c_less(c_0,X0,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3365]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3363,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12419_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21000,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3363]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_21001,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.63 | 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) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_21000]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3361,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12420_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20996,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3361]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20997,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.63 | 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) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20996]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3355,plain,
% 171.38/171.63 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12425_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20984,plain,
% 171.38/171.63 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3355]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3348,plain,
% 171.38/171.63 ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12428_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20970,plain,
% 171.38/171.63 ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3348]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3346,plain,
% 171.38/171.63 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 171.38/171.63 | ~ c_lessequals(X0,X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12429_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20966,plain,
% 171.38/171.63 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 171.38/171.63 | ~ c_lessequals(X0,X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3346]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3344,plain,
% 171.38/171.63 ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_less(X0,X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12430_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20962,plain,
% 171.38/171.63 ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_less(X0,X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3344]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3342,plain,
% 171.38/171.63 ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_lessequals(X0,X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12431_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20958,plain,
% 171.38/171.63 ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_lessequals(X0,X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3342]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3335,plain,
% 171.38/171.63 ( c_SetInterval_OgreaterThanAtMost(X0,X1,X2) = c_emptyset
% 171.38/171.63 | ~ c_lessequals(X1,X0,X2)
% 171.38/171.63 | ~ class_Orderings_Oorder(X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12434_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20944,plain,
% 171.38/171.63 ( c_SetInterval_OgreaterThanAtMost(X0,X1,X2) = c_emptyset
% 171.38/171.63 | ~ c_lessequals(X1,X0,X2)
% 171.38/171.63 | ~ class_Orderings_Oorder(X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3335]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20945,plain,
% 171.38/171.63 ( ~ class_Orderings_Oorder(X0)
% 171.38/171.63 | ~ c_lessequals(X1,X2,X0)
% 171.38/171.63 | c_SetInterval_OgreaterThanAtMost(X2,X1,X0) = c_emptyset ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20944]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3332,plain,
% 171.38/171.63 ( c_SetInterval_OatLeastLessThan(X0,X1,X2) = c_emptyset
% 171.38/171.63 | ~ c_lessequals(X1,X0,X2)
% 171.38/171.63 | ~ class_Orderings_Oorder(X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12435_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20938,plain,
% 171.38/171.63 ( c_SetInterval_OatLeastLessThan(X0,X1,X2) = c_emptyset
% 171.38/171.63 | ~ c_lessequals(X1,X0,X2)
% 171.38/171.63 | ~ class_Orderings_Oorder(X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3332]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20939,plain,
% 171.38/171.63 ( ~ class_Orderings_Oorder(X0)
% 171.38/171.63 | ~ c_lessequals(X1,X2,X0)
% 171.38/171.63 | c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20938]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3329,plain,
% 171.38/171.63 ( c_SetInterval_OatLeastAtMost(X0,X1,X2) = c_emptyset
% 171.38/171.63 | ~ c_less(X1,X0,X2)
% 171.38/171.63 | ~ class_Orderings_Oorder(X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12436_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20932,plain,
% 171.38/171.63 ( c_SetInterval_OatLeastAtMost(X0,X1,X2) = c_emptyset
% 171.38/171.63 | ~ c_less(X1,X0,X2)
% 171.38/171.63 | ~ class_Orderings_Oorder(X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3329]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20933,plain,
% 171.38/171.63 ( ~ class_Orderings_Oorder(X0)
% 171.38/171.63 | ~ c_less(X1,X2,X0)
% 171.38/171.63 | c_SetInterval_OatLeastAtMost(X2,X1,X0) = c_emptyset ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20932]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3327,plain,
% 171.38/171.63 ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12437_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20928,plain,
% 171.38/171.63 ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3327]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3321,plain,
% 171.38/171.63 ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 171.38/171.63 | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12442_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20916,plain,
% 171.38/171.63 ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 171.38/171.63 | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3321]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3319,plain,
% 171.38/171.63 ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 171.38/171.63 | ~ c_List_Odistinct(X1,X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12443_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20912,plain,
% 171.38/171.63 ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 171.38/171.63 | ~ c_List_Odistinct(X1,X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3319]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3317,plain,
% 171.38/171.63 ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 171.38/171.63 | ~ c_List_Odistinct(X0,X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12444_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20908,plain,
% 171.38/171.63 ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 171.38/171.63 | ~ c_List_Odistinct(X0,X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3317]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3315,plain,
% 171.38/171.63 ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 171.38/171.63 | ~ c_List_Odistinct(X1,X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12445_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20904,plain,
% 171.38/171.63 ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 171.38/171.63 | ~ c_List_Odistinct(X1,X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3315]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3313,plain,
% 171.38/171.63 ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 171.38/171.63 | ~ c_List_Odistinct(X1,X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12446_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20900,plain,
% 171.38/171.63 ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 171.38/171.63 | ~ c_List_Odistinct(X1,X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3313]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3311,plain,
% 171.38/171.63 ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 171.38/171.63 | ~ c_List_Odistinct(X1,X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12447_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20896,plain,
% 171.38/171.63 ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 171.38/171.63 | ~ c_List_Odistinct(X1,X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3311]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3307,plain,
% 171.38/171.63 ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,X1,tc_Message_Omsg) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12449_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20888,plain,
% 171.38/171.63 ( c_in(X0,c_Message_Osynth(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,X1,tc_Message_Omsg) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3307]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3305,plain,
% 171.38/171.63 ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,X1,tc_Message_Omsg) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12450_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20884,plain,
% 171.38/171.63 ( c_in(X0,c_Message_Oanalz(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,X1,tc_Message_Omsg) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3305]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3303,plain,
% 171.38/171.63 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,X1,tc_Message_Omsg) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12451_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20880,plain,
% 171.38/171.63 ( c_in(X0,c_Message_Oparts(X1),tc_Message_Omsg)
% 171.38/171.63 | ~ c_in(X0,X1,tc_Message_Omsg) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3303]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3301,plain,
% 171.38/171.63 ( c_less(c_0,X0,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12453_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20876,plain,
% 171.38/171.63 ( c_less(c_0,X0,tc_IntDef_Oint)
% 171.38/171.63 | ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3301]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20877,plain,
% 171.38/171.63 ( ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 171.38/171.63 | c_less(c_0,X0,tc_IntDef_Oint) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20876]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3299,plain,
% 171.38/171.63 ( c_less(c_0,X0,tc_nat)
% 171.38/171.63 | ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12454_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20872,plain,
% 171.38/171.63 ( c_less(c_0,X0,tc_nat)
% 171.38/171.63 | ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3299]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20873,plain,
% 171.38/171.63 ( ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 171.38/171.63 | c_less(c_0,X0,tc_nat) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20872]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3296,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.63 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12455_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20866,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.63 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3296]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3293,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 171.38/171.63 | c_Parity_Oeven(X0,tc_nat)
% 171.38/171.63 | c_Parity_Oeven(X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12456_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20860,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 171.38/171.63 | c_Parity_Oeven(X0,tc_nat)
% 171.38/171.63 | c_Parity_Oeven(X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3293]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3290,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.63 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12457_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20854,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.63 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3290]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3288,plain,
% 171.38/171.63 ( X0 = c_Datatype_Ooption_OSome(X1,X2)
% 171.38/171.63 | ~ c_in(X1,c_Datatype_Oo2s(X0,X2),X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12458_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20850,plain,
% 171.38/171.63 ( X0 = c_Datatype_Ooption_OSome(X1,X2)
% 171.38/171.63 | ~ c_in(X1,c_Datatype_Oo2s(X0,X2),X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3288]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20851,plain,
% 171.38/171.63 ( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
% 171.38/171.63 | X1 = c_Datatype_Ooption_OSome(X0,X2) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20850]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3286,plain,
% 171.38/171.63 ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
% 171.38/171.63 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12459_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20846,plain,
% 171.38/171.63 ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
% 171.38/171.63 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3286]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20847,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.63 | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20846]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3283,plain,
% 171.38/171.63 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.38/171.63 | c_Numeral_Onumber__of(X0,X1) != c_0
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12460_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20840,plain,
% 171.38/171.63 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 171.38/171.63 | c_Numeral_Onumber__of(X0,X1) != c_0
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3283]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20841,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.63 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 171.38/171.63 | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20840]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3281,plain,
% 171.38/171.63 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 171.38/171.63 | c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12461_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20836,plain,
% 171.38/171.63 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 171.38/171.63 | c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3281]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20837,plain,
% 171.38/171.63 ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 171.38/171.63 | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20836]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3279,plain,
% 171.38/171.63 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 171.38/171.63 | c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12462_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20832,plain,
% 171.38/171.63 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 171.38/171.63 | c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3279]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20833,plain,
% 171.38/171.63 ( c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 171.38/171.63 | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20832]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3277,plain,
% 171.38/171.63 ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 171.38/171.63 | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12463_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20828,plain,
% 171.38/171.63 ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 171.38/171.63 | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3277]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3275,plain,
% 171.38/171.63 ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_less(c_0,X0,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12464_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20824,plain,
% 171.38/171.63 ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_less(c_0,X0,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3275]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3269,plain,
% 171.38/171.63 ( c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12466_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20812,plain,
% 171.38/171.63 ( c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3269]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20813,plain,
% 171.38/171.63 ( ~ c_less(X0,X1,tc_nat) | c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20812]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3262,plain,
% 171.38/171.63 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12469_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20798,plain,
% 171.38/171.63 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3262]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20799,plain,
% 171.38/171.63 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20798]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3259,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.38/171.63 | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12470_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20792,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 171.38/171.63 | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3259]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20793,plain,
% 171.38/171.63 ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 171.38/171.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20792]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3257,plain,
% 171.38/171.63 ( c_minus(X0,X1,tc_nat) = c_0 | ~ c_lessequals(X0,X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12471_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20788,plain,
% 171.38/171.63 ( c_minus(X0,X1,tc_nat) = c_0 | ~ c_lessequals(X0,X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3257]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20789,plain,
% 171.38/171.63 ( ~ c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20788]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3255,plain,
% 171.38/171.63 ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12472_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20784,plain,
% 171.38/171.63 ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3255]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3253,plain,
% 171.38/171.63 ( c_div(X0,X1,tc_nat) = c_0 | ~ c_less(X0,X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12473_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20780,plain,
% 171.38/171.63 ( c_div(X0,X1,tc_nat) = c_0 | ~ c_less(X0,X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3253]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20781,plain,
% 171.38/171.63 ( ~ c_less(X0,X1,tc_nat) | c_div(X0,X1,tc_nat) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20780]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3251,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12474_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20776,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3251]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3249,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12475_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20772,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3249]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3247,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12476_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20768,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3247]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3245,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 171.38/171.63 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12477_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20764,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 171.38/171.63 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3245]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3243,plain,
% 171.38/171.63 ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 171.38/171.63 | X1 = c_List_Olist_ONil ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12479_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20760,plain,
% 171.38/171.63 ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 171.38/171.63 | X1 = c_List_Olist_ONil ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3243]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3241,plain,
% 171.38/171.63 ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 171.38/171.63 | X1 = c_List_Olist_ONil ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12480_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20756,plain,
% 171.38/171.63 ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 171.38/171.63 | X1 = c_List_Olist_ONil ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3241]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3239,plain,
% 171.38/171.63 ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 171.38/171.63 | X0 = c_List_Olist_ONil ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12481_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20752,plain,
% 171.38/171.63 ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 171.38/171.63 | X0 = c_List_Olist_ONil ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3239]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3236,plain,
% 171.38/171.63 ( X0 = c_0
% 171.38/171.63 | c_LOrder_Omeet(X0,c_uminus(X0,X1),X1) != c_0
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12482_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20746,plain,
% 171.38/171.63 ( X0 = c_0
% 171.38/171.63 | c_LOrder_Omeet(X0,c_uminus(X0,X1),X1) != c_0
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3236]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20747,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.63 | c_LOrder_Omeet(X1,c_uminus(X1,X0),X0) != c_0
% 171.38/171.63 | X1 = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20746]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3233,plain,
% 171.38/171.63 ( X0 = c_0
% 171.38/171.63 | c_LOrder_Ojoin(X0,c_uminus(X0,X1),X1) != c_0
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12483_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20740,plain,
% 171.38/171.63 ( X0 = c_0
% 171.38/171.63 | c_LOrder_Ojoin(X0,c_uminus(X0,X1),X1) != c_0
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3233]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20741,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.63 | c_LOrder_Ojoin(X1,c_uminus(X1,X0),X0) != c_0
% 171.38/171.63 | X1 = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20740]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3231,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12486_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20736,plain,
% 171.38/171.63 ( 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)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3231]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20737,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.63 | 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) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20736]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3229,plain,
% 171.38/171.63 ( c_div(X0,X0,tc_nat) = c_1 | ~ c_less(c_0,X0,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12491_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20732,plain,
% 171.38/171.63 ( c_div(X0,X0,tc_nat) = c_1 | ~ c_less(c_0,X0,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3229]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20733,plain,
% 171.38/171.63 ( ~ c_less(c_0,X0,tc_nat) | c_div(X0,X0,tc_nat) = c_1 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20732]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3223,plain,
% 171.38/171.63 ( X0 = c_0
% 171.38/171.63 | ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12493_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20720,plain,
% 171.38/171.63 ( X0 = c_0
% 171.38/171.63 | ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3223]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20721,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.63 | ~ c_lessequals(c_HOL_Oabs(X1,X0),c_0,X0)
% 171.38/171.63 | X1 = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20720]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3220,plain,
% 171.38/171.63 ( c_divide(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oinverse(c_Numeral_Onumber__of(X0,X1),X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Numeral_Onumber(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12494_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20714,plain,
% 171.38/171.63 ( c_divide(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oinverse(c_Numeral_Onumber__of(X0,X1),X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Numeral_Onumber(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3220]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20715,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_divide(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X0),X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20714]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3217,plain,
% 171.38/171.63 ( X0 = c_0
% 171.38/171.63 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12495_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20708,plain,
% 171.38/171.63 ( X0 = c_0
% 171.38/171.63 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3217]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20709,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.63 | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_0,X0)
% 171.38/171.63 | X1 = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20708]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3215,plain,
% 171.38/171.63 ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12499_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20704,plain,
% 171.38/171.63 ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3215]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20705,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.63 | ~ c_less(c_HOL_Oabs(X1,X0),c_0,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20704]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3213,plain,
% 171.38/171.63 ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12500_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20700,plain,
% 171.38/171.63 ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3213]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20701,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.63 | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_0,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20700]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3211,plain,
% 171.38/171.63 ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12503_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20696,plain,
% 171.38/171.63 ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3211]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20697,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.63 | ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20696]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3209,plain,
% 171.38/171.63 ( c_Finite__Set_OMin(c_insert(X0,c_emptyset,X1),X1) = X0
% 171.38/171.63 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12504_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20692,plain,
% 171.38/171.63 ( c_Finite__Set_OMin(c_insert(X0,c_emptyset,X1),X1) = X0
% 171.38/171.63 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3209]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20693,plain,
% 171.38/171.63 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.63 | c_Finite__Set_OMin(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20692]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3207,plain,
% 171.38/171.63 ( c_Finite__Set_OMax(c_insert(X0,c_emptyset,X1),X1) = X0
% 171.38/171.63 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12505_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20688,plain,
% 171.38/171.63 ( c_Finite__Set_OMax(c_insert(X0,c_emptyset,X1),X1) = X0
% 171.38/171.63 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3207]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20689,plain,
% 171.38/171.63 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.63 | c_Finite__Set_OMax(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20688]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3197,plain,
% 171.38/171.63 ( c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2) = c_0
% 171.38/171.63 | c_Numeral_Onumber__of(X1,X2) != c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.38/171.63 | ~ class_Numeral_Onumber(X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12508_4) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20668,plain,
% 171.38/171.63 ( c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2) = c_0
% 171.38/171.63 | c_Numeral_Onumber__of(X1,X2) != c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 171.38/171.63 | ~ class_Numeral_Onumber(X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3197]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20669,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_Numeral_Onumber__of(X1,X0) != c_0
% 171.38/171.63 | c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20668]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3195,plain,
% 171.38/171.63 ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12514_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20664,plain,
% 171.38/171.63 ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3195]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3193,plain,
% 171.38/171.63 ( c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12515_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20660,plain,
% 171.38/171.63 ( c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3193]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20661,plain,
% 171.38/171.63 ( ~ c_less(X0,X1,tc_nat) | c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20660]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3191,plain,
% 171.38/171.63 ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12516_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20656,plain,
% 171.38/171.63 ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3191]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3189,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12519_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20652,plain,
% 171.38/171.63 ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 171.38/171.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3189]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3186,plain,
% 171.38/171.63 ( c_divide(X0,c_0,X1) = c_divide(X2,c_0,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12520_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20646,plain,
% 171.38/171.63 ( c_divide(X0,c_0,X1) = c_divide(X2,c_0,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3186]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20647,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_divide(X1,c_0,X0) = c_divide(X2,c_0,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20646]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3183,plain,
% 171.38/171.63 ( c_divide(c_0,X0,X1) = c_divide(c_0,X2,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12521_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20640,plain,
% 171.38/171.63 ( c_divide(c_0,X0,X1) = c_divide(c_0,X2,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3183]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20641,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_divide(c_0,X1,X0) = c_divide(c_0,X2,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20640]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3171,plain,
% 171.38/171.63 ( X0 = c_emptyset
% 171.38/171.63 | c_Union(X1,X2) != c_emptyset
% 171.38/171.63 | ~ c_in(X0,X1,tc_set(X2)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12525_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20616,plain,
% 171.38/171.63 ( X0 = c_emptyset
% 171.38/171.63 | c_Union(X1,X2) != c_emptyset
% 171.38/171.63 | ~ c_in(X0,X1,tc_set(X2)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3171]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20617,plain,
% 171.38/171.63 ( ~ c_in(X0,X1,tc_set(X2))
% 171.38/171.63 | c_Union(X1,X2) != c_emptyset
% 171.38/171.63 | X0 = c_emptyset ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20616]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3165,plain,
% 171.38/171.63 ( X0 = c_UNIV | c_Inter(X1,X2) != c_UNIV | ~ c_in(X0,X1,tc_set(X2)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12527_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20604,plain,
% 171.38/171.63 ( X0 = c_UNIV | c_Inter(X1,X2) != c_UNIV | ~ c_in(X0,X1,tc_set(X2)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3165]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20605,plain,
% 171.38/171.63 ( ~ c_in(X0,X1,tc_set(X2)) | c_Inter(X1,X2) != c_UNIV | X0 = c_UNIV ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20604]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3163,plain,
% 171.38/171.63 ( c_List_Oremdups(X0,X1) = X0
% 171.38/171.63 | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12528_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20600,plain,
% 171.38/171.63 ( c_List_Oremdups(X0,X1) = X0
% 171.38/171.63 | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3163]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20601,plain,
% 171.38/171.63 ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1))
% 171.38/171.63 | c_List_Oremdups(X0,X1) = X0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20600]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3160,plain,
% 171.38/171.63 ( c_HOL_Oabs(X0,X1) = c_uminus(X0,X1)
% 171.38/171.63 | ~ c_lessequals(X0,c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12529_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20594,plain,
% 171.38/171.63 ( c_HOL_Oabs(X0,X1) = c_uminus(X0,X1)
% 171.38/171.63 | ~ c_lessequals(X0,c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3160]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20595,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.63 | ~ c_lessequals(X1,c_0,X0)
% 171.38/171.63 | c_HOL_Oabs(X1,X0) = c_uminus(X1,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20594]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3158,plain,
% 171.38/171.63 ( X0 = c_0 | ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12533_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20590,plain,
% 171.38/171.63 ( X0 = c_0 | ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3158]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20591,plain,
% 171.38/171.63 ( ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | X0 = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20590]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3155,plain,
% 171.38/171.63 ( X0 = c_emptyset
% 171.38/171.63 | c_Finite__Set_Ocard(X0,X1) != c_0
% 171.38/171.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12537_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20584,plain,
% 171.38/171.63 ( X0 = c_emptyset
% 171.38/171.63 | c_Finite__Set_Ocard(X0,X1) != c_0
% 171.38/171.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3155]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20585,plain,
% 171.38/171.63 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.38/171.63 | c_Finite__Set_Ocard(X0,X1) != c_0
% 171.38/171.63 | X0 = c_emptyset ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20584]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3151,plain,
% 171.38/171.63 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 171.38/171.63 | c_Parity_Oeven(X1,tc_nat)
% 171.38/171.63 | ~ class_Power_Orecpower(X0)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12539_3) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20576,plain,
% 171.38/171.63 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 171.38/171.63 | c_Parity_Oeven(X1,tc_nat)
% 171.38/171.63 | ~ class_Power_Orecpower(X0)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3151]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20577,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.63 | ~ class_Power_Orecpower(X0)
% 171.38/171.63 | c_Parity_Oeven(X1,tc_nat)
% 171.38/171.63 | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20576]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3145,plain,
% 171.38/171.63 ( c_SetInterval_OatLeastAtMost(X0,X0,X1) = c_insert(X0,c_emptyset,X1)
% 171.38/171.63 | ~ class_Orderings_Oorder(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12541_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20564,plain,
% 171.38/171.63 ( c_SetInterval_OatLeastAtMost(X0,X0,X1) = c_insert(X0,c_emptyset,X1)
% 171.38/171.63 | ~ class_Orderings_Oorder(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3145]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20565,plain,
% 171.38/171.63 ( ~ class_Orderings_Oorder(X0)
% 171.38/171.63 | c_SetInterval_OatLeastAtMost(X1,X1,X0) = c_insert(X1,c_emptyset,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20564]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3143,plain,
% 171.38/171.63 ( c_times(X0,c_0,X1) = c_times(X2,c_0,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12542_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20560,plain,
% 171.38/171.63 ( c_times(X0,c_0,X1) = c_times(X2,c_0,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3143]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20561,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_times(X1,c_0,X0) = c_times(X2,c_0,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20560]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3141,plain,
% 171.38/171.63 ( c_times(c_0,X0,X1) = c_times(c_0,X2,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12543_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20556,plain,
% 171.38/171.63 ( c_times(c_0,X0,X1) = c_times(c_0,X2,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3141]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20557,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_times(c_0,X1,X0) = c_times(c_0,X2,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20556]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3137,plain,
% 171.38/171.63 ( c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12544_3) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20548,plain,
% 171.38/171.63 ( c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3137]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20549,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20548]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3133,plain,
% 171.38/171.63 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_nat)
% 171.38/171.63 | ~ class_Power_Orecpower(X0)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12545_3) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20540,plain,
% 171.38/171.63 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_nat)
% 171.38/171.63 | ~ class_Power_Orecpower(X0)
% 171.38/171.63 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3133]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20541,plain,
% 171.38/171.63 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.63 | ~ class_Power_Orecpower(X0)
% 171.38/171.63 | ~ c_Parity_Oeven(X1,tc_nat)
% 171.38/171.63 | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20540]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3127,plain,
% 171.38/171.63 ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 171.38/171.63 | X0 = c_List_Olist_ONil ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12551_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20528,plain,
% 171.38/171.63 ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 171.38/171.63 | X0 = c_List_Olist_ONil ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3127]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3125,plain,
% 171.38/171.63 ( X0 = c_List_Olist_ONil
% 171.38/171.63 | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12552_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20524,plain,
% 171.38/171.63 ( X0 = c_List_Olist_ONil
% 171.38/171.63 | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3125]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20525,plain,
% 171.38/171.63 ( c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1)
% 171.38/171.63 | X0 = c_List_Olist_ONil ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20524]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3123,plain,
% 171.38/171.63 ( X0 = c_List_Olist_ONil
% 171.38/171.63 | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12553_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20520,plain,
% 171.38/171.63 ( X0 = c_List_Olist_ONil
% 171.38/171.63 | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3123]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20521,plain,
% 171.38/171.63 ( c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1)
% 171.38/171.63 | X0 = c_List_Olist_ONil ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20520]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3120,plain,
% 171.38/171.63 ( c_OrderedGroup_Opprt(X0,X1) = X0
% 171.38/171.63 | ~ c_lessequals(c_0,X0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12554_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20514,plain,
% 171.38/171.63 ( c_OrderedGroup_Opprt(X0,X1) = X0
% 171.38/171.63 | ~ c_lessequals(c_0,X0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3120]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20515,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.63 | ~ c_lessequals(c_0,X1,X0)
% 171.38/171.63 | c_OrderedGroup_Opprt(X1,X0) = X1 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20514]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3117,plain,
% 171.38/171.63 ( c_OrderedGroup_Onprt(X0,X1) = X0
% 171.38/171.63 | ~ c_lessequals(X0,c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12555_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20508,plain,
% 171.38/171.63 ( c_OrderedGroup_Onprt(X0,X1) = X0
% 171.38/171.63 | ~ c_lessequals(X0,c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3117]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20509,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.63 | ~ c_lessequals(X1,c_0,X0)
% 171.38/171.63 | c_OrderedGroup_Onprt(X1,X0) = X1 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20508]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3114,plain,
% 171.38/171.63 ( c_HOL_Oabs(X0,X1) = X0
% 171.38/171.63 | ~ c_lessequals(c_0,X0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12556_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20502,plain,
% 171.38/171.63 ( c_HOL_Oabs(X0,X1) = X0
% 171.38/171.63 | ~ c_lessequals(c_0,X0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3114]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20503,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.63 | ~ c_lessequals(c_0,X1,X0)
% 171.38/171.63 | c_HOL_Oabs(X1,X0) = X1 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20502]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3112,plain,
% 171.38/171.63 ( c_plus(c_NatArith_Oof__nat(X0,X1),c_1,X1) = c_NatArith_Oof__nat(c_Suc(X0),X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12557_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20498,plain,
% 171.38/171.63 ( c_plus(c_NatArith_Oof__nat(X0,X1),c_1,X1) = c_NatArith_Oof__nat(c_Suc(X0),X1)
% 171.38/171.63 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3112]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20499,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.63 | c_plus(c_NatArith_Oof__nat(X1,X0),c_1,X0) = c_NatArith_Oof__nat(c_Suc(X1),X0) ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20498]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3109,plain,
% 171.38/171.63 ( c_OrderedGroup_Opprt(X0,X1) = c_0
% 171.38/171.63 | ~ c_lessequals(X0,c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12558_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20492,plain,
% 171.38/171.63 ( c_OrderedGroup_Opprt(X0,X1) = c_0
% 171.38/171.63 | ~ c_lessequals(X0,c_0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3109]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20493,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.63 | ~ c_lessequals(X1,c_0,X0)
% 171.38/171.63 | c_OrderedGroup_Opprt(X1,X0) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20492]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3106,plain,
% 171.38/171.63 ( c_OrderedGroup_Onprt(X0,X1) = c_0
% 171.38/171.63 | ~ c_lessequals(c_0,X0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12559_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20486,plain,
% 171.38/171.63 ( c_OrderedGroup_Onprt(X0,X1) = c_0
% 171.38/171.63 | ~ c_lessequals(c_0,X0,X1)
% 171.38/171.63 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3106]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20487,plain,
% 171.38/171.63 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.63 | ~ c_lessequals(c_0,X1,X0)
% 171.38/171.63 | c_OrderedGroup_Onprt(X1,X0) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20486]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3104,plain,
% 171.38/171.63 ( c_Finite__Set_Ocard(c_emptyset,X0) = c_0
% 171.38/171.63 | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12560_1) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20482,plain,
% 171.38/171.63 ( c_Finite__Set_Ocard(c_emptyset,X0) = c_0
% 171.38/171.63 | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3104]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20483,plain,
% 171.38/171.63 ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0))
% 171.38/171.63 | c_Finite__Set_Ocard(c_emptyset,X0) = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20482]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3101,plain,
% 171.38/171.63 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_1
% 171.38/171.63 | c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 171.38/171.63 | ~ class_Power_Orecpower(X1) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12561_2) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20476,plain,
% 171.38/171.63 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_1
% 171.38/171.63 | c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 171.38/171.63 | ~ class_Power_Orecpower(X1) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3101]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20477,plain,
% 171.38/171.63 ( ~ class_Power_Orecpower(X0)
% 171.38/171.63 | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 171.38/171.63 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_1 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20476]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3100,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_divide(X1,X2,X0) != c_0
% 171.38/171.63 | X2 = c_0
% 171.38/171.63 | X1 = c_0 ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12562_0) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20474,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_divide(X1,X2,X0) != c_0
% 171.38/171.63 | X2 = c_0
% 171.38/171.63 | X1 = c_0 ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3100]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3096,plain,
% 171.38/171.63 ( X0 = c_0
% 171.38/171.63 | X1 = c_0
% 171.38/171.63 | c_divide(X0,X1,X2) != c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12562_4) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20466,plain,
% 171.38/171.63 ( X0 = c_0
% 171.38/171.63 | X1 = c_0
% 171.38/171.63 | c_divide(X0,X1,X2) != c_0
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3096]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20467,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_divide(X1,X2,X0) != c_0
% 171.38/171.63 | X1 = c_0
% 171.38/171.63 | X2 = c_0 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20466]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3084,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_divide(X1,X0,X2) != c_1
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12565_3) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20442,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_divide(X1,X0,X2) != c_1
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3084]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20443,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Oordered__field(X0)
% 171.38/171.63 | c_divide(X1,X2,X0) != c_1
% 171.38/171.63 | X2 = X1 ),
% 171.38/171.63 inference(rewriting,[status(thm)],[c_20442]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_3080,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_divide(X0,X1,X2) != c_1
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.63 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12566_3) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20434,plain,
% 171.38/171.63 ( X0 = X1
% 171.38/171.63 | c_divide(X0,X1,X2) != c_1
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.63 inference(copy,[status(esa)],[c_3080]) ).
% 171.38/171.63
% 171.38/171.63 cnf(c_20435,plain,
% 171.38/171.63 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.63 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.63 | c_divide(X1,X2,X0) != c_1
% 171.38/171.64 | X1 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20434]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3074,plain,
% 171.38/171.64 ( c_Union(X0,X1) = c_emptyset
% 171.38/171.64 | c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1)) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12571_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20422,plain,
% 171.38/171.64 ( c_Union(X0,X1) = c_emptyset
% 171.38/171.64 | c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1)) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3074]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20423,plain,
% 171.38/171.64 ( c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1))
% 171.38/171.64 | c_Union(X0,X1) = c_emptyset ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20422]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3072,plain,
% 171.38/171.64 ( c_Union(X0,X1) = c_emptyset
% 171.38/171.64 | c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1)) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12572_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20418,plain,
% 171.38/171.64 ( c_Union(X0,X1) = c_emptyset
% 171.38/171.64 | c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1)) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3072]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20419,plain,
% 171.38/171.64 ( c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1))
% 171.38/171.64 | c_Union(X0,X1) = c_emptyset ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20418]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3070,plain,
% 171.38/171.64 ( c_Inter(X0,X1) = c_UNIV
% 171.38/171.64 | c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1)) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12573_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20414,plain,
% 171.38/171.64 ( c_Inter(X0,X1) = c_UNIV
% 171.38/171.64 | c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1)) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3070]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20415,plain,
% 171.38/171.64 ( c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1))
% 171.38/171.64 | c_Inter(X0,X1) = c_UNIV ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20414]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3068,plain,
% 171.38/171.64 ( c_Inter(X0,X1) = c_UNIV
% 171.38/171.64 | c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1)) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12574_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20410,plain,
% 171.38/171.64 ( c_Inter(X0,X1) = c_UNIV
% 171.38/171.64 | c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1)) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3068]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20411,plain,
% 171.38/171.64 ( c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1))
% 171.38/171.64 | c_Inter(X0,X1) = c_UNIV ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20410]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3066,plain,
% 171.38/171.64 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12575_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20406,plain,
% 171.38/171.64 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3066]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3063,plain,
% 171.38/171.64 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 171.38/171.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12576_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20400,plain,
% 171.38/171.64 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 171.38/171.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3063]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20401,plain,
% 171.38/171.64 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20400]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3047,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_divide(c_1,X0,X1) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12580_3) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20368,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_divide(c_1,X0,X1) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3047]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20369,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X0)
% 171.38/171.64 | c_divide(c_1,X1,X0) != c_0
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20368]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3045,plain,
% 171.38/171.64 ( c_times(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12581_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20364,plain,
% 171.38/171.64 ( c_times(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3045]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20365,plain,
% 171.38/171.64 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.64 | c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20364]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3043,plain,
% 171.38/171.64 ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12582_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20360,plain,
% 171.38/171.64 ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3043]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20361,plain,
% 171.38/171.64 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.64 | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20360]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3041,plain,
% 171.38/171.64 ( c_List_Oupt(X0,X1) = c_List_Olist_ONil | ~ c_lessequals(X1,X0,tc_nat) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12584_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20356,plain,
% 171.38/171.64 ( c_List_Oupt(X0,X1) = c_List_Olist_ONil | ~ c_lessequals(X1,X0,tc_nat) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3041]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20357,plain,
% 171.38/171.64 ( ~ c_lessequals(X0,X1,tc_nat) | c_List_Oupt(X1,X0) = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20356]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3035,plain,
% 171.38/171.64 ( c_divide(X0,c_0,X1) != c_1
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12586_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20344,plain,
% 171.38/171.64 ( c_divide(X0,c_0,X1) != c_1
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3035]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20345,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X0)
% 171.38/171.64 | c_divide(X1,c_0,X0) != c_1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20344]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3027,plain,
% 171.38/171.64 ( X0 = c_1
% 171.38/171.64 | X1 = c_0
% 171.38/171.64 | c_times(X0,X1,X2) != X1
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12588_3) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20328,plain,
% 171.38/171.64 ( X0 = c_1
% 171.38/171.64 | X1 = c_0
% 171.38/171.64 | c_times(X0,X1,X2) != X1
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3027]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20329,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.64 | c_times(X1,X2,X0) != X2
% 171.38/171.64 | X1 = c_1
% 171.38/171.64 | X2 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20328]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3019,plain,
% 171.38/171.64 ( X0 = c_1
% 171.38/171.64 | X1 = c_0
% 171.38/171.64 | c_times(X1,X0,X2) != X1
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12590_3) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20312,plain,
% 171.38/171.64 ( X0 = c_1
% 171.38/171.64 | X1 = c_0
% 171.38/171.64 | c_times(X1,X0,X2) != X1
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3019]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20313,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.64 | c_times(X1,X2,X0) != X1
% 171.38/171.64 | X2 = c_1
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20312]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3018,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.38/171.64 | c_times(X1,X2,X0) != c_0
% 171.38/171.64 | X2 = c_0
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12592_0) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20310,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.38/171.64 | c_times(X1,X2,X0) != c_0
% 171.38/171.64 | X2 = c_0
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3018]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3015,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | X1 = c_0
% 171.38/171.64 | c_times(X0,X1,X2) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12592_3) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20304,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | X1 = c_0
% 171.38/171.64 | c_times(X0,X1,X2) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3015]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20305,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.38/171.64 | c_times(X1,X2,X0) != c_0
% 171.38/171.64 | X1 = c_0
% 171.38/171.64 | X2 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20304]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3012,plain,
% 171.38/171.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.38/171.64 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 171.38/171.64 | ~ class_Power_Orecpower(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12593_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20298,plain,
% 171.38/171.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.38/171.64 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 171.38/171.64 | ~ class_Power_Orecpower(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3012]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20299,plain,
% 171.38/171.64 ( ~ class_Power_Orecpower(X0)
% 171.38/171.64 | c_Numeral_Onumber__of(X1,tc_nat) = c_0
% 171.38/171.64 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20298]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3009,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_minus(X0,X1,X2) != c_0
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12595_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20292,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_minus(X0,X1,X2) != c_0
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3009]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20293,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.64 | c_minus(X1,X2,X0) != c_0
% 171.38/171.64 | X1 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20292]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3007,plain,
% 171.38/171.64 ( X0 = c_emptyset | ~ c_lessequals(X0,c_emptyset,tc_set(X1)) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12596_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20288,plain,
% 171.38/171.64 ( X0 = c_emptyset | ~ c_lessequals(X0,c_emptyset,tc_set(X1)) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3007]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20289,plain,
% 171.38/171.64 ( ~ c_lessequals(X0,c_emptyset,tc_set(X1)) | X0 = c_emptyset ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20288]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3004,plain,
% 171.38/171.64 ( c_HOL_Oinverse(c_uminus(X0,X1),X1) = c_uminus(c_HOL_Oinverse(X0,X1),X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12599_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20282,plain,
% 171.38/171.64 ( c_HOL_Oinverse(c_uminus(X0,X1),X1) = c_uminus(c_HOL_Oinverse(X0,X1),X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3004]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20283,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | c_HOL_Oinverse(c_uminus(X1,X0),X0) = c_uminus(c_HOL_Oinverse(X1,X0),X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20282]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_3001,plain,
% 171.38/171.64 ( c_HOL_Oinverse(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(c_HOL_Oinverse(X0,X1),X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12600_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20276,plain,
% 171.38/171.64 ( c_HOL_Oinverse(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(c_HOL_Oinverse(X0,X1),X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_3001]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20277,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X0)
% 171.38/171.64 | c_HOL_Oinverse(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(c_HOL_Oinverse(X1,X0),X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20276]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2998,plain,
% 171.38/171.64 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1)
% 171.38/171.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12601_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20270,plain,
% 171.38/171.64 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1)
% 171.38/171.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2998]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20271,plain,
% 171.38/171.64 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20270]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2996,plain,
% 171.38/171.64 ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12603_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20266,plain,
% 171.38/171.64 ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2996]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20267,plain,
% 171.38/171.64 ( ~ class_Orderings_Oorder(X0) | ~ c_less(X1,X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20266]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2994,plain,
% 171.38/171.64 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = X0
% 171.38/171.64 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12607_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20262,plain,
% 171.38/171.64 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = X0
% 171.38/171.64 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2994]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20263,plain,
% 171.38/171.64 ( ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 171.38/171.64 | c_IntDef_Oint(c_IntDef_Onat(X0)) = X0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20262]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2992,plain,
% 171.38/171.64 ( X0 = c_0 | ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12608_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20258,plain,
% 171.38/171.64 ( X0 = c_0 | ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2992]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20259,plain,
% 171.38/171.64 ( ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) | X0 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20258]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2984,plain,
% 171.38/171.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12611_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20242,plain,
% 171.38/171.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2984]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2982,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil
% 171.38/171.64 | c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12612_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20238,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil
% 171.38/171.64 | c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2982]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20239,plain,
% 171.38/171.64 ( c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 171.38/171.64 | X0 = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20238]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2980,plain,
% 171.38/171.64 ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 171.38/171.64 | c_List_Oremdups(X0,X1) != X0 ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12614_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20234,plain,
% 171.38/171.64 ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 171.38/171.64 | c_List_Oremdups(X0,X1) != X0 ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2980]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2975,plain,
% 171.38/171.64 ( c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
% 171.38/171.64 | X0 = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12616_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20224,plain,
% 171.38/171.64 ( c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
% 171.38/171.64 | X0 = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2975]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20225,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20224]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2972,plain,
% 171.38/171.64 ( c_times(c_HOL_Oinverse(X0,X1),X0,X1) = c_1
% 171.38/171.64 | X0 = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12617_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20218,plain,
% 171.38/171.64 ( c_times(c_HOL_Oinverse(X0,X1),X0,X1) = c_1
% 171.38/171.64 | X0 = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2972]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20219,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20218]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2969,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil
% 171.38/171.64 | X1 = c_0
% 171.38/171.64 | c_List_Otake(X1,X0,X2) != c_List_Olist_ONil ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12618_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20212,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil
% 171.38/171.64 | X1 = c_0
% 171.38/171.64 | c_List_Otake(X1,X0,X2) != c_List_Olist_ONil ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2969]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20213,plain,
% 171.38/171.64 ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil
% 171.38/171.64 | X0 = c_0
% 171.38/171.64 | X1 = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20212]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2955,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != X1 ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12625_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20184,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != X1 ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2955]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20185,plain,
% 171.38/171.64 ( c_append(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20184]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2953,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != X1 ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12626_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20180,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != X1 ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2953]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20181,plain,
% 171.38/171.64 ( c_append(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20180]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2951,plain,
% 171.38/171.64 ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12628_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20176,plain,
% 171.38/171.64 ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2951]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20177,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0) | ~ c_less(c_1,c_0,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20176]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2949,plain,
% 171.38/171.64 ( ~ c_lessequals(c_1,c_0,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12629_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20172,plain,
% 171.38/171.64 ( ~ c_lessequals(c_1,c_0,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2949]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20173,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.64 | ~ c_lessequals(c_1,c_0,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20172]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2946,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12630_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20166,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2946]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20167,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.64 | c_less(c_0,c_HOL_Oabs(X1,X0),X0)
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20166]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2944,plain,
% 171.38/171.64 ( c_plus(X0,c_uminus(X0,X1),X1) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12631_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20162,plain,
% 171.38/171.64 ( c_plus(X0,c_uminus(X0,X1),X1) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2944]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20163,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.64 | c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20162]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2942,plain,
% 171.38/171.64 ( c_plus(c_uminus(X0,X1),X0,X1) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12632_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20158,plain,
% 171.38/171.64 ( c_plus(c_uminus(X0,X1),X0,X1) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2942]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20159,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.64 | c_plus(c_uminus(X1,X0),X1,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20158]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2940,plain,
% 171.38/171.64 ( X0 = c_emptyset | c_union(X1,X0,X2) != c_emptyset ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12633_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20154,plain,
% 171.38/171.64 ( X0 = c_emptyset | c_union(X1,X0,X2) != c_emptyset ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2940]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20155,plain,
% 171.38/171.64 ( c_union(X0,X1,X2) != c_emptyset | X1 = c_emptyset ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20154]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2938,plain,
% 171.38/171.64 ( X0 = c_emptyset | c_union(X0,X1,X2) != c_emptyset ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12634_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20150,plain,
% 171.38/171.64 ( X0 = c_emptyset | c_union(X0,X1,X2) != c_emptyset ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2938]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20151,plain,
% 171.38/171.64 ( c_union(X0,X1,X2) != c_emptyset | X0 = c_emptyset ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20150]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2936,plain,
% 171.38/171.64 ( X0 = c_UNIV | c_inter(X1,X0,X2) != c_UNIV ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12635_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20146,plain,
% 171.38/171.64 ( X0 = c_UNIV | c_inter(X1,X0,X2) != c_UNIV ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2936]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20147,plain,
% 171.38/171.64 ( c_inter(X0,X1,X2) != c_UNIV | X1 = c_UNIV ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20146]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2934,plain,
% 171.38/171.64 ( X0 = c_UNIV | c_inter(X0,X1,X2) != c_UNIV ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12636_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20142,plain,
% 171.38/171.64 ( X0 = c_UNIV | c_inter(X0,X1,X2) != c_UNIV ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2934]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20143,plain,
% 171.38/171.64 ( c_inter(X0,X1,X2) != c_UNIV | X0 = c_UNIV ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20142]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2932,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil
% 171.38/171.64 | c_List_Orotate(X1,X0,X2) != c_List_Olist_ONil ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12637_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20138,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil
% 171.38/171.64 | c_List_Orotate(X1,X0,X2) != c_List_Olist_ONil ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2932]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20139,plain,
% 171.38/171.64 ( c_List_Orotate(X0,X1,X2) != c_List_Olist_ONil
% 171.38/171.64 | X1 = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20138]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2926,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != c_List_Olist_ONil ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12640_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20126,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != c_List_Olist_ONil ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2926]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20127,plain,
% 171.38/171.64 ( c_append(X0,X1,X2) != c_List_Olist_ONil | X1 = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20126]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2924,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != c_List_Olist_ONil ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12641_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20122,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != c_List_Olist_ONil ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2924]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20123,plain,
% 171.38/171.64 ( c_append(X0,X1,X2) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20122]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2920,plain,
% 171.38/171.64 ( X0 = c_emptyset
% 171.38/171.64 | c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12643_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20114,plain,
% 171.38/171.64 ( X0 = c_emptyset
% 171.38/171.64 | c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2920]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20115,plain,
% 171.38/171.64 ( c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset
% 171.38/171.64 | X0 = c_emptyset ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20114]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2919,plain,
% 171.38/171.64 ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12646_0) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20112,plain,
% 171.38/171.64 ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2919]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2917,plain,
% 171.38/171.64 ( X0 = c_0 | X1 = c_0 | c_times(X0,X1,tc_nat) != c_0 ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12646_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20108,plain,
% 171.38/171.64 ( X0 = c_0 | X1 = c_0 | c_times(X0,X1,tc_nat) != c_0 ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2917]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20109,plain,
% 171.38/171.64 ( c_times(X0,X1,tc_nat) != c_0 | X0 = c_0 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20108]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2915,plain,
% 171.38/171.64 ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12647_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20104,plain,
% 171.38/171.64 ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2915]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20105,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.64 | c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X0),X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20104]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2913,plain,
% 171.38/171.64 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12648_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20100,plain,
% 171.38/171.64 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2913]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20101,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.64 | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_0,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20100]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2911,plain,
% 171.38/171.64 ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12649_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20096,plain,
% 171.38/171.64 ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2911]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20097,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.64 | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20096]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2909,plain,
% 171.38/171.64 ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12650_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20092,plain,
% 171.38/171.64 ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2909]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20093,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.64 | c_lessequals(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20092]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2907,plain,
% 171.38/171.64 ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12651_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20088,plain,
% 171.38/171.64 ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2907]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20089,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.64 | c_in(c_NatArith_Oof__nat(X1,X0),c_IntDef_ONats,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20088]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2905,plain,
% 171.38/171.64 ( c_IntDef_Onat(X0) = c_0 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12657_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20084,plain,
% 171.38/171.64 ( c_IntDef_Onat(X0) = c_0 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2905]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20085,plain,
% 171.38/171.64 ( ~ c_lessequals(X0,c_0,tc_IntDef_Oint) | c_IntDef_Onat(X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20084]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2903,plain,
% 171.38/171.64 ( X0 = c_0 | c_plus(X1,X0,tc_nat) != c_0 ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12658_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20080,plain,
% 171.38/171.64 ( X0 = c_0 | c_plus(X1,X0,tc_nat) != c_0 ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2903]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20081,plain,
% 171.38/171.64 ( c_plus(X0,X1,tc_nat) != c_0 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20080]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2901,plain,
% 171.38/171.64 ( X0 = c_0 | c_plus(X0,X1,tc_nat) != c_0 ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12659_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20076,plain,
% 171.38/171.64 ( X0 = c_0 | c_plus(X0,X1,tc_nat) != c_0 ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2901]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20077,plain,
% 171.38/171.64 ( c_plus(X0,X1,tc_nat) != c_0 | X0 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20076]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2899,plain,
% 171.38/171.64 ( c_IntDef_Oof__int(c_uminus(X0,tc_IntDef_Oint),X1) = c_uminus(c_IntDef_Oof__int(X0,X1),X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12663_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20072,plain,
% 171.38/171.64 ( c_IntDef_Oof__int(c_uminus(X0,tc_IntDef_Oint),X1) = c_uminus(c_IntDef_Oof__int(X0,X1),X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2899]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20073,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.64 | c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X0) = c_uminus(c_IntDef_Oof__int(X1,X0),X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20072]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2897,plain,
% 171.38/171.64 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0
% 171.38/171.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12667_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20068,plain,
% 171.38/171.64 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0
% 171.38/171.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2897]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20069,plain,
% 171.38/171.64 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20068]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2895,plain,
% 171.38/171.64 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1
% 171.38/171.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12668_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20064,plain,
% 171.38/171.64 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1
% 171.38/171.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2895]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20065,plain,
% 171.38/171.64 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20064]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2893,plain,
% 171.38/171.64 ( c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12669_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20060,plain,
% 171.38/171.64 ( c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2893]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20061,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.64 | c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20060]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2891,plain,
% 171.38/171.64 ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12670_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20056,plain,
% 171.38/171.64 ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2891]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20057,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.64 | c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20056]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2889,plain,
% 171.38/171.64 ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12671_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20052,plain,
% 171.38/171.64 ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2889]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20053,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.64 | c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20052]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2887,plain,
% 171.38/171.64 ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12672_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20048,plain,
% 171.38/171.64 ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2887]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20049,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.64 | c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20048]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2885,plain,
% 171.38/171.64 ( X0 = c_0 | ~ c_less(X0,c_1,tc_nat) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12673_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20044,plain,
% 171.38/171.64 ( X0 = c_0 | ~ c_less(X0,c_1,tc_nat) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2885]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20045,plain,
% 171.38/171.64 ( ~ c_less(X0,c_1,tc_nat) | X0 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20044]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2883,plain,
% 171.38/171.64 ( X0 = c_0 | ~ c_lessequals(X0,c_0,tc_nat) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12674_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20040,plain,
% 171.38/171.64 ( X0 = c_0 | ~ c_lessequals(X0,c_0,tc_nat) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2883]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20041,plain,
% 171.38/171.64 ( ~ c_lessequals(X0,c_0,tc_nat) | X0 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20040]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2881,plain,
% 171.38/171.64 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12675_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20036,plain,
% 171.38/171.64 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2881]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20037,plain,
% 171.38/171.64 ( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) | X0 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20036]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2879,plain,
% 171.38/171.64 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12676_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20032,plain,
% 171.38/171.64 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2879]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20033,plain,
% 171.38/171.64 ( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) | X0 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20032]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2877,plain,
% 171.38/171.64 ( X0 = c_emptyset | c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12677_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20028,plain,
% 171.38/171.64 ( X0 = c_emptyset | c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2877]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20029,plain,
% 171.38/171.64 ( c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) | X0 = c_emptyset ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20028]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2875,plain,
% 171.38/171.64 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat)
% 171.38/171.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12680_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20024,plain,
% 171.38/171.64 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat)
% 171.38/171.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2875]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20025,plain,
% 171.38/171.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20024]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2873,plain,
% 171.38/171.64 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12687_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20020,plain,
% 171.38/171.64 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2873]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20021,plain,
% 171.38/171.64 ( ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) | c_List_Odistinct(X0,X1) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20020]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2871,plain,
% 171.38/171.64 ( c_List_Odistinct(X0,X1)
% 171.38/171.64 | ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12688_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20016,plain,
% 171.38/171.64 ( c_List_Odistinct(X0,X1)
% 171.38/171.64 | ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2871]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20017,plain,
% 171.38/171.64 ( ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 171.38/171.64 | c_List_Odistinct(X0,X1) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20016]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2866,plain,
% 171.38/171.64 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 171.38/171.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12692_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20006,plain,
% 171.38/171.64 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 171.38/171.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2866]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20007,plain,
% 171.38/171.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20006]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2864,plain,
% 171.38/171.64 ( c_minus(c_0,X0,X1) = c_uminus(X0,X1)
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12693_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20002,plain,
% 171.38/171.64 ( c_minus(c_0,X0,X1) = c_uminus(X0,X1)
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2864]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_20003,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.64 | c_minus(c_0,X1,X0) = c_uminus(X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_20002]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2862,plain,
% 171.38/171.64 ( c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil
% 171.38/171.64 | c_lessequals(X0,X1,tc_nat) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12694_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19998,plain,
% 171.38/171.64 ( c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil
% 171.38/171.64 | c_lessequals(X0,X1,tc_nat) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2862]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19999,plain,
% 171.38/171.64 ( c_lessequals(X0,X1,tc_nat)
% 171.38/171.64 | c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19998]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2860,plain,
% 171.38/171.64 ( c_Finite__Set_Ocard(X0,X1) = c_0
% 171.38/171.64 | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12695_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19994,plain,
% 171.38/171.64 ( c_Finite__Set_Ocard(X0,X1) = c_0
% 171.38/171.64 | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2860]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19995,plain,
% 171.38/171.64 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 171.38/171.64 | c_Finite__Set_Ocard(X0,X1) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19994]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2849,plain,
% 171.38/171.64 ( c_divide(X0,X0,X1) = c_1
% 171.38/171.64 | X0 = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12701_3) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19972,plain,
% 171.38/171.64 ( c_divide(X0,X0,X1) = c_1
% 171.38/171.64 | X0 = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2849]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19973,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X0)
% 171.38/171.64 | c_divide(X1,X1,X0) = c_1
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19972]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2847,plain,
% 171.38/171.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.64 | ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12704_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19968,plain,
% 171.38/171.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 171.38/171.64 | ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2847]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19969,plain,
% 171.38/171.64 ( ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19968]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2841,plain,
% 171.38/171.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.38/171.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12707_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19956,plain,
% 171.38/171.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.38/171.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2841]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19957,plain,
% 171.38/171.64 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19956]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2839,plain,
% 171.38/171.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.38/171.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12708_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19952,plain,
% 171.38/171.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 171.38/171.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2839]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19953,plain,
% 171.38/171.64 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19952]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2837,plain,
% 171.38/171.64 ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 171.38/171.64 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12709_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19948,plain,
% 171.38/171.64 ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 171.38/171.64 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2837]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2835,plain,
% 171.38/171.64 ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 171.38/171.64 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12710_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19944,plain,
% 171.38/171.64 ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 171.38/171.64 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2835]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2832,plain,
% 171.38/171.64 ( c_divide(X0,c_0,X1) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12712_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19938,plain,
% 171.38/171.64 ( c_divide(X0,c_0,X1) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2832]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19939,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | c_divide(X1,c_0,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19938]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2829,plain,
% 171.38/171.64 ( c_divide(c_0,X0,X1) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12713_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19932,plain,
% 171.38/171.64 ( c_divide(c_0,X0,X1) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2829]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19933,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | c_divide(c_0,X1,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19932]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2827,plain,
% 171.38/171.64 ( c_uminus(c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_SetInterval_OatLeast(X0,X1)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12714_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19928,plain,
% 171.38/171.64 ( c_uminus(c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_SetInterval_OatLeast(X0,X1)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2827]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19929,plain,
% 171.38/171.64 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.64 | c_uminus(c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_SetInterval_OatLeast(X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19928]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2825,plain,
% 171.38/171.64 ( c_uminus(c_SetInterval_OgreaterThan(X0,X1),tc_set(X1)) = c_SetInterval_OatMost(X0,X1)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12715_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19924,plain,
% 171.38/171.64 ( c_uminus(c_SetInterval_OgreaterThan(X0,X1),tc_set(X1)) = c_SetInterval_OatMost(X0,X1)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2825]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19925,plain,
% 171.38/171.64 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.64 | c_uminus(c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) = c_SetInterval_OatMost(X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19924]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2823,plain,
% 171.38/171.64 ( c_uminus(c_SetInterval_OatMost(X0,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X0,X1)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12716_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19920,plain,
% 171.38/171.64 ( c_uminus(c_SetInterval_OatMost(X0,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X0,X1)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2823]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19921,plain,
% 171.38/171.64 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.64 | c_uminus(c_SetInterval_OatMost(X1,X0),tc_set(X0)) = c_SetInterval_OgreaterThan(X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19920]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2821,plain,
% 171.38/171.64 ( c_uminus(c_SetInterval_OatLeast(X0,X1),tc_set(X1)) = c_SetInterval_OlessThan(X0,X1)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12717_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19916,plain,
% 171.38/171.64 ( c_uminus(c_SetInterval_OatLeast(X0,X1),tc_set(X1)) = c_SetInterval_OlessThan(X0,X1)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2821]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19917,plain,
% 171.38/171.64 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.64 | c_uminus(c_SetInterval_OatLeast(X1,X0),tc_set(X0)) = c_SetInterval_OlessThan(X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19916]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2819,plain,
% 171.38/171.64 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12718_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19912,plain,
% 171.38/171.64 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2819]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19913,plain,
% 171.38/171.64 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.64 | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19912]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2817,plain,
% 171.38/171.64 ( c_Nat_Opower(c_0,c_Suc(X0),X1) = c_0 | ~ class_Power_Orecpower(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12719_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19908,plain,
% 171.38/171.64 ( c_Nat_Opower(c_0,c_Suc(X0),X1) = c_0 | ~ class_Power_Orecpower(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2817]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19909,plain,
% 171.38/171.64 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_0,c_Suc(X1),X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19908]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2811,plain,
% 171.38/171.64 ( c_divide(c_1,c_0,X0) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12723_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19896,plain,
% 171.38/171.64 ( c_divide(c_1,c_0,X0) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2811]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19897,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__field(X0)
% 171.38/171.64 | c_divide(c_1,c_0,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19896]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2808,plain,
% 171.38/171.64 ( c_divide(c_0,c_0,X0) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12724_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19890,plain,
% 171.38/171.64 ( c_divide(c_0,c_0,X0) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2808]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19891,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | c_divide(c_0,c_0,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19890]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2806,plain,
% 171.38/171.64 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12725_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19886,plain,
% 171.38/171.64 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2806]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19887,plain,
% 171.38/171.64 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19886]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2804,plain,
% 171.38/171.64 ( X0 = X1 | c_uminus(X0,tc_set(X2)) != c_uminus(X1,tc_set(X2)) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12726_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19882,plain,
% 171.38/171.64 ( X0 = X1 | c_uminus(X0,tc_set(X2)) != c_uminus(X1,tc_set(X2)) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2804]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19883,plain,
% 171.38/171.64 ( c_uminus(X0,tc_set(X1)) != c_uminus(X2,tc_set(X1)) | X0 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19882]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2802,plain,
% 171.38/171.64 ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12729_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19878,plain,
% 171.38/171.64 ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2802]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2800,plain,
% 171.38/171.64 ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 171.38/171.64 | ~ c_List_Odistinct(X0,X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12730_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19874,plain,
% 171.38/171.64 ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 171.38/171.64 | ~ c_List_Odistinct(X0,X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2800]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2798,plain,
% 171.38/171.64 ( c_Orderings_Omax(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12731_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19870,plain,
% 171.38/171.64 ( c_Orderings_Omax(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2798]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19871,plain,
% 171.38/171.64 ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omax(X1,X1,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19870]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2796,plain,
% 171.38/171.64 ( c_Orderings_Omin(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12732_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19866,plain,
% 171.38/171.64 ( c_Orderings_Omin(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2796]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19867,plain,
% 171.38/171.64 ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omin(X1,X1,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19866]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2794,plain,
% 171.38/171.64 ( c_LOrder_Omeet(X0,X0,X1) = X0 | ~ class_LOrder_Omeet__semilorder(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12733_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19862,plain,
% 171.38/171.64 ( c_LOrder_Omeet(X0,X0,X1) = X0 | ~ class_LOrder_Omeet__semilorder(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2794]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19863,plain,
% 171.38/171.64 ( ~ class_LOrder_Omeet__semilorder(X0) | c_LOrder_Omeet(X1,X1,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19862]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2792,plain,
% 171.38/171.64 ( c_LOrder_Ojoin(X0,X0,X1) = X0 | ~ class_LOrder_Ojoin__semilorder(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12734_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19858,plain,
% 171.38/171.64 ( c_LOrder_Ojoin(X0,X0,X1) = X0 | ~ class_LOrder_Ojoin__semilorder(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2792]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19859,plain,
% 171.38/171.64 ( ~ class_LOrder_Ojoin__semilorder(X0) | c_LOrder_Ojoin(X1,X1,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19858]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2790,plain,
% 171.38/171.64 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0
% 171.38/171.64 | c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12735_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19854,plain,
% 171.38/171.64 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0
% 171.38/171.64 | c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2790]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19855,plain,
% 171.38/171.64 ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 171.38/171.64 | c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19854]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2788,plain,
% 171.38/171.64 ( c_minus(X0,X0,X1) = c_0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12736_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19850,plain,
% 171.38/171.64 ( c_minus(X0,X0,X1) = c_0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2788]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19851,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,X1,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19850]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2786,plain,
% 171.38/171.64 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12737_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19846,plain,
% 171.38/171.64 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2786]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19847,plain,
% 171.38/171.64 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19846]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2784,plain,
% 171.38/171.64 ( c_times(c_1,X0,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12738_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19842,plain,
% 171.38/171.64 ( c_times(c_1,X0,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2784]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19843,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(c_1,X1,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19842]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2782,plain,
% 171.38/171.64 ( c_times(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12739_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19838,plain,
% 171.38/171.64 ( c_times(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2782]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19839,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(X1,c_1,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19838]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2780,plain,
% 171.38/171.64 ( c_divide(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Ofield(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12740_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19834,plain,
% 171.38/171.64 ( c_divide(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Ofield(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2780]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19835,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ofield(X0) | c_divide(X1,c_1,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19834]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2778,plain,
% 171.38/171.64 ( c_Nat_Opower(X0,c_1,X1) = X0 | ~ class_Power_Orecpower(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12741_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19830,plain,
% 171.38/171.64 ( c_Nat_Opower(X0,c_1,X1) = X0 | ~ class_Power_Orecpower(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2778]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19831,plain,
% 171.38/171.64 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_1,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19830]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2776,plain,
% 171.38/171.64 ( c_times(X0,c_1,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12742_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19826,plain,
% 171.38/171.64 ( c_times(X0,c_1,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2776]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19827,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(X1,c_1,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19826]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2774,plain,
% 171.38/171.64 ( c_times(c_1,X0,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12743_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19822,plain,
% 171.38/171.64 ( c_times(c_1,X0,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2774]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19823,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(c_1,X1,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19822]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2772,plain,
% 171.38/171.64 ( c_minus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12744_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19818,plain,
% 171.38/171.64 ( c_minus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2772]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19819,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,c_0,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19818]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2770,plain,
% 171.38/171.64 ( c_plus(c_0,X0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12745_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19814,plain,
% 171.38/171.64 ( c_plus(c_0,X0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2770]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19815,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(c_0,X1,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19814]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2768,plain,
% 171.38/171.64 ( c_plus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12746_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19810,plain,
% 171.38/171.64 ( c_plus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2768]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19811,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(X1,c_0,X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19810]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2766,plain,
% 171.38/171.64 ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12747_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19806,plain,
% 171.38/171.64 ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2766]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19807,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.64 | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19806]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2764,plain,
% 171.38/171.64 ( c_HOL_Oabs(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12748_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19802,plain,
% 171.38/171.64 ( c_HOL_Oabs(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2764]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19803,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.64 | c_HOL_Oabs(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19802]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2760,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_HOL_Oinverse(X0,X2) != c_HOL_Oinverse(X1,X2)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12751_3) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19794,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_HOL_Oinverse(X0,X2) != c_HOL_Oinverse(X1,X2)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X2)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2760]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19795,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | c_HOL_Oinverse(X1,X0) != c_HOL_Oinverse(X2,X0)
% 171.38/171.64 | X1 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19794]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2758,plain,
% 171.38/171.64 ( c_times(X0,c_0,X1) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12753_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19790,plain,
% 171.38/171.64 ( c_times(X0,c_0,X1) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2758]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19791,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.64 | c_times(X1,c_0,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19790]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2756,plain,
% 171.38/171.64 ( c_times(c_0,X0,X1) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12754_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19786,plain,
% 171.38/171.64 ( c_times(c_0,X0,X1) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2756]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19787,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.64 | c_times(c_0,X1,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19786]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2754,plain,
% 171.38/171.64 ( c_times(X0,c_0,X1) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12755_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19782,plain,
% 171.38/171.64 ( c_times(X0,c_0,X1) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2754]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19783,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.64 | c_times(X1,c_0,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19782]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2752,plain,
% 171.38/171.64 ( c_times(c_0,X0,X1) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12756_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19778,plain,
% 171.38/171.64 ( c_times(c_0,X0,X1) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2752]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19779,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.64 | c_times(c_0,X1,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19778]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2750,plain,
% 171.38/171.64 ( c_Nat_Opower(X0,c_0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12757_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19774,plain,
% 171.38/171.64 ( c_Nat_Opower(X0,c_0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2750]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19775,plain,
% 171.38/171.64 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_0,X0) = c_1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19774]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2748,plain,
% 171.38/171.64 ( c_Nat_Opower(c_1,X0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12758_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19770,plain,
% 171.38/171.64 ( c_Nat_Opower(c_1,X0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2748]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19771,plain,
% 171.38/171.64 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_1,X1,X0) = c_1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19770]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2746,plain,
% 171.38/171.64 ( c_lessequals(c_0,c_1,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12767_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19766,plain,
% 171.38/171.64 ( c_lessequals(c_0,c_1,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2746]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19767,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.64 | c_lessequals(c_0,c_1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19766]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2744,plain,
% 171.38/171.64 ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12768_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19762,plain,
% 171.38/171.64 ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2744]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19763,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0) | c_less(c_0,c_1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19762]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2742,plain,
% 171.38/171.64 ( c_in(c_1,c_IntDef_ONats,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12769_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19758,plain,
% 171.38/171.64 ( c_in(c_1,c_IntDef_ONats,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2742]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19759,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.64 | c_in(c_1,c_IntDef_ONats,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19758]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2740,plain,
% 171.38/171.64 ( c_in(c_0,c_IntDef_ONats,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12770_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19754,plain,
% 171.38/171.64 ( c_in(c_0,c_IntDef_ONats,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2740]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19755,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.64 | c_in(c_0,c_IntDef_ONats,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19754]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2738,plain,
% 171.38/171.64 ( c_in(c_1,c_IntDef_OInts,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12771_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19750,plain,
% 171.38/171.64 ( c_in(c_1,c_IntDef_OInts,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2738]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19751,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.64 | c_in(c_1,c_IntDef_OInts,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19750]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2736,plain,
% 171.38/171.64 ( c_in(c_0,c_IntDef_OInts,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12772_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19746,plain,
% 171.38/171.64 ( c_in(c_0,c_IntDef_OInts,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2736]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19747,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.64 | c_in(c_0,c_IntDef_OInts,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19746]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2734,plain,
% 171.38/171.64 ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X0,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X0,X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12773_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19742,plain,
% 171.38/171.64 ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X0,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X0,X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2734]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19743,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.64 | c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19742]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2732,plain,
% 171.38/171.64 ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12782_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19738,plain,
% 171.38/171.64 ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 171.38/171.64 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2732]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2729,plain,
% 171.38/171.64 ( c_HOL_Oinverse(c_HOL_Oinverse(X0,X1),X1) = X0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12785_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19732,plain,
% 171.38/171.64 ( c_HOL_Oinverse(c_HOL_Oinverse(X0,X1),X1) = X0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2729]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19733,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | c_HOL_Oinverse(c_HOL_Oinverse(X1,X0),X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19732]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2727,plain,
% 171.38/171.64 ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12787_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19728,plain,
% 171.38/171.64 ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2727]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2725,plain,
% 171.38/171.64 ( X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))
% 171.38/171.64 | c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12789_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19724,plain,
% 171.38/171.64 ( X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))
% 171.38/171.64 | c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2725]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19725,plain,
% 171.38/171.64 ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 171.38/171.64 | X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19724]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2722,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X1,X2)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12806_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19718,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X1,X2)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2722]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19719,plain,
% 171.38/171.64 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.64 | c_SetInterval_OlessThan(X1,X0) != c_SetInterval_OlessThan(X2,X0)
% 171.38/171.64 | X1 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19718]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2719,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X1,X2)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12807_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19712,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X1,X2)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2719]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19713,plain,
% 171.38/171.64 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.64 | c_SetInterval_OgreaterThan(X1,X0) != c_SetInterval_OgreaterThan(X2,X0)
% 171.38/171.64 | X1 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19712]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2716,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X1,X2)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12808_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19706,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X1,X2)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2716]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19707,plain,
% 171.38/171.64 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.64 | c_SetInterval_OatMost(X1,X0) != c_SetInterval_OatMost(X2,X0)
% 171.38/171.64 | X1 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19706]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2713,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X1,X2)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12809_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19700,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X1,X2)
% 171.38/171.64 | ~ class_Orderings_Olinorder(X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2713]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19701,plain,
% 171.38/171.64 ( ~ class_Orderings_Olinorder(X0)
% 171.38/171.64 | c_SetInterval_OatLeast(X1,X0) != c_SetInterval_OatLeast(X2,X0)
% 171.38/171.64 | X1 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19700]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2710,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_uminus(X0,X2) != c_uminus(X1,X2)
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12810_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19694,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_uminus(X0,X2) != c_uminus(X1,X2)
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2710]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19695,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.64 | c_uminus(X1,X0) != c_uminus(X2,X0)
% 171.38/171.64 | X1 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19694]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2707,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_NatArith_Oof__nat(X0,X2) != c_NatArith_Oof__nat(X1,X2)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12811_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19688,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_NatArith_Oof__nat(X0,X2) != c_NatArith_Oof__nat(X1,X2)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2707]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19689,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.64 | c_NatArith_Oof__nat(X1,X0) != c_NatArith_Oof__nat(X2,X0)
% 171.38/171.64 | X1 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19688]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2704,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_IntDef_Oof__int(X0,X2) != c_IntDef_Oof__int(X1,X2)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12812_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19682,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_IntDef_Oof__int(X0,X2) != c_IntDef_Oof__int(X1,X2)
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2704]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19683,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.64 | c_IntDef_Oof__int(X1,X0) != c_IntDef_Oof__int(X2,X0)
% 171.38/171.64 | X1 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19682]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2702,plain,
% 171.38/171.64 ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12813_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19678,plain,
% 171.38/171.64 ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2702]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19679,plain,
% 171.38/171.64 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.64 | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19678]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2700,plain,
% 171.38/171.64 ( X0 = c_0 | c_less(c_0,X0,tc_nat) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12823_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19674,plain,
% 171.38/171.64 ( X0 = c_0 | c_less(c_0,X0,tc_nat) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2700]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19675,plain,
% 171.38/171.64 ( c_less(c_0,X0,tc_nat) | X0 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19674]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2694,plain,
% 171.38/171.64 ( c_uminus(c_uminus(c_1,X0),X0) = c_1
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.64 | ~ class_HOL_Oone(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12874_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19662,plain,
% 171.38/171.64 ( c_uminus(c_uminus(c_1,X0),X0) = c_1
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.64 | ~ class_HOL_Oone(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2694]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19663,plain,
% 171.38/171.64 ( ~ class_HOL_Oone(X0)
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.64 | c_uminus(c_uminus(c_1,X0),X0) = c_1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19662]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2687,plain,
% 171.38/171.64 ( X0 = c_uminus(c_1,X1)
% 171.38/171.64 | c_uminus(X0,X1) != c_1
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1)
% 171.38/171.64 | ~ class_HOL_Oone(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12876_3) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19648,plain,
% 171.38/171.64 ( X0 = c_uminus(c_1,X1)
% 171.38/171.64 | c_uminus(X0,X1) != c_1
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1)
% 171.38/171.64 | ~ class_HOL_Oone(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2687]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19649,plain,
% 171.38/171.64 ( ~ class_HOL_Oone(X0)
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.64 | c_uminus(X1,X0) != c_1
% 171.38/171.64 | X1 = c_uminus(c_1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19648]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2685,plain,
% 171.38/171.64 ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12877_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19644,plain,
% 171.38/171.64 ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2685]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2683,plain,
% 171.38/171.64 ( c_uminus(c_uminus(X0,X1),X1) = X0
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12883_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19640,plain,
% 171.38/171.64 ( c_uminus(c_uminus(X0,X1),X1) = X0
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2683]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19641,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.64 | c_uminus(c_uminus(X1,X0),X0) = X1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19640]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2681,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_Message_Omsg_OCrypt(X2,X0) != c_Message_Omsg_OCrypt(X3,X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12884_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19636,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_Message_Omsg_OCrypt(X2,X0) != c_Message_Omsg_OCrypt(X3,X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2681]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19637,plain,
% 171.38/171.64 ( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3)
% 171.38/171.64 | X1 = X3 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19636]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2679,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_Message_Omsg_OCrypt(X0,X2) != c_Message_Omsg_OCrypt(X1,X3) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12885_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19632,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_Message_Omsg_OCrypt(X0,X2) != c_Message_Omsg_OCrypt(X1,X3) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2679]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19633,plain,
% 171.38/171.64 ( c_Message_Omsg_OCrypt(X0,X1) != c_Message_Omsg_OCrypt(X2,X3)
% 171.38/171.64 | X0 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19632]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2677,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_Message_Omsg_OMPair(X2,X0) != c_Message_Omsg_OMPair(X3,X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12886_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19628,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_Message_Omsg_OMPair(X2,X0) != c_Message_Omsg_OMPair(X3,X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2677]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19629,plain,
% 171.38/171.64 ( c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3)
% 171.38/171.64 | X1 = X3 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19628]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2675,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_Message_Omsg_OMPair(X0,X2) != c_Message_Omsg_OMPair(X1,X3) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12887_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19624,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_Message_Omsg_OMPair(X0,X2) != c_Message_Omsg_OMPair(X1,X3) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2675]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19625,plain,
% 171.38/171.64 ( c_Message_Omsg_OMPair(X0,X1) != c_Message_Omsg_OMPair(X2,X3)
% 171.38/171.64 | X0 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19624]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2673,plain,
% 171.38/171.64 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12888_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19620,plain,
% 171.38/171.64 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2673]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19621,plain,
% 171.38/171.64 ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19620]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2671,plain,
% 171.38/171.64 ( X0 = X1 | c_List_Ochar_OChar(X2,X0) != c_List_Ochar_OChar(X3,X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12889_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19616,plain,
% 171.38/171.64 ( X0 = X1 | c_List_Ochar_OChar(X2,X0) != c_List_Ochar_OChar(X3,X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2671]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19617,plain,
% 171.38/171.64 ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X1 = X3 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19616]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2669,plain,
% 171.38/171.64 ( X0 = X1 | c_List_Ochar_OChar(X0,X2) != c_List_Ochar_OChar(X1,X3) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12890_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19612,plain,
% 171.38/171.64 ( X0 = X1 | c_List_Ochar_OChar(X0,X2) != c_List_Ochar_OChar(X1,X3) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2669]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19613,plain,
% 171.38/171.64 ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X0 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19612]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2667,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_Datatype_Ooption_OSome(X0,X2) != c_Datatype_Ooption_OSome(X1,X2) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12891_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19608,plain,
% 171.38/171.64 ( X0 = X1
% 171.38/171.64 | c_Datatype_Ooption_OSome(X0,X2) != c_Datatype_Ooption_OSome(X1,X2) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2667]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19609,plain,
% 171.38/171.64 ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1)
% 171.38/171.64 | X0 = X2 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19608]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2664,plain,
% 171.38/171.64 ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 171.38/171.64 | ~ class_Finite__Set_Ofinite(X0)
% 171.38/171.64 | ~ class_Finite__Set_Ofinite(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12896_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19602,plain,
% 171.38/171.64 ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 171.38/171.64 | ~ class_Finite__Set_Ofinite(X0)
% 171.38/171.64 | ~ class_Finite__Set_Ofinite(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2664]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2661,plain,
% 171.38/171.64 ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 171.38/171.64 | ~ class_Finite__Set_Ofinite(X0)
% 171.38/171.64 | ~ class_Finite__Set_Ofinite(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12897_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19596,plain,
% 171.38/171.64 ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 171.38/171.64 | ~ class_Finite__Set_Ofinite(X0)
% 171.38/171.64 | ~ class_Finite__Set_Ofinite(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2661]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2658,plain,
% 171.38/171.64 ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 171.38/171.64 | ~ class_Finite__Set_Ofinite(X0)
% 171.38/171.64 | ~ class_Finite__Set_Ofinite(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12898_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19590,plain,
% 171.38/171.64 ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 171.38/171.64 | ~ class_Finite__Set_Ofinite(X0)
% 171.38/171.64 | ~ class_Finite__Set_Ofinite(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2658]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2656,plain,
% 171.38/171.64 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12899_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19586,plain,
% 171.38/171.64 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2656]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19587,plain,
% 171.38/171.64 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19586]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2654,plain,
% 171.38/171.64 ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 171.38/171.64 | X0 = c_Datatype_Ooption_ONone ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12900_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19582,plain,
% 171.38/171.64 ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 171.38/171.64 | X0 = c_Datatype_Ooption_ONone ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2654]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2652,plain,
% 171.38/171.64 ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 171.38/171.64 | X0 = c_Datatype_Ooption_ONone ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12901_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19578,plain,
% 171.38/171.64 ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 171.38/171.64 | X0 = c_Datatype_Ooption_ONone ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2652]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2650,plain,
% 171.38/171.64 ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12902_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19574,plain,
% 171.38/171.64 ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2650]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19575,plain,
% 171.38/171.64 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.64 | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19574]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2648,plain,
% 171.38/171.64 ( c_IntDef_Oof__int(c_IntDef_Oint(X0),X1) = c_NatArith_Oof__nat(X0,X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12903_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19570,plain,
% 171.38/171.64 ( c_IntDef_Oof__int(c_IntDef_Oint(X0),X1) = c_NatArith_Oof__nat(X0,X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2648]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19571,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.64 | c_IntDef_Oof__int(c_IntDef_Oint(X1),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19570]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2644,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_HOL_Oinverse(X0,X1) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12915_3) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19562,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_HOL_Oinverse(X0,X1) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2644]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19563,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | c_HOL_Oinverse(X1,X0) != c_0
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19562]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2640,plain,
% 171.38/171.64 ( X0 = c_1
% 171.38/171.64 | c_HOL_Oinverse(X0,X1) != c_1
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12916_3) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19554,plain,
% 171.38/171.64 ( X0 = c_1
% 171.38/171.64 | c_HOL_Oinverse(X0,X1) != c_1
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X1)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2640]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19555,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | c_HOL_Oinverse(X1,X0) != c_1
% 171.38/171.64 | X1 = c_1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19554]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2638,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12917_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19550,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2638]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19551,plain,
% 171.38/171.64 ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19550]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2636,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12918_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19546,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2636]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19547,plain,
% 171.38/171.64 ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 171.38/171.64 | X0 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19546]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2634,plain,
% 171.38/171.64 ( c_Union(X0,X1) = c_emptyset
% 171.38/171.64 | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12919_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19542,plain,
% 171.38/171.64 ( c_Union(X0,X1) = c_emptyset
% 171.38/171.64 | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2634]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2632,plain,
% 171.38/171.64 ( c_Union(X0,X1) = c_emptyset
% 171.38/171.64 | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12920_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19538,plain,
% 171.38/171.64 ( c_Union(X0,X1) = c_emptyset
% 171.38/171.64 | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2632]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2630,plain,
% 171.38/171.64 ( c_Inter(X0,X1) = c_UNIV
% 171.38/171.64 | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12921_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19534,plain,
% 171.38/171.64 ( c_Inter(X0,X1) = c_UNIV
% 171.38/171.64 | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2630]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2628,plain,
% 171.38/171.64 ( c_Inter(X0,X1) = c_UNIV
% 171.38/171.64 | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12922_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19530,plain,
% 171.38/171.64 ( c_Inter(X0,X1) = c_UNIV
% 171.38/171.64 | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2628]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2626,plain,
% 171.38/171.64 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 171.38/171.64 | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12923_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19526,plain,
% 171.38/171.64 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 171.38/171.64 | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2626]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2624,plain,
% 171.38/171.64 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 171.38/171.64 | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12924_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19522,plain,
% 171.38/171.64 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 171.38/171.64 | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2624]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2622,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12926_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19518,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2622]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19519,plain,
% 171.38/171.64 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 | X0 = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19518]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2620,plain,
% 171.38/171.64 ( c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12928_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19514,plain,
% 171.38/171.64 ( c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0)
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2620]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19515,plain,
% 171.38/171.64 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.64 | c_Numeral_Onumber__of(c_Numeral_OMin,X0) = c_uminus(c_1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19514]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2618,plain,
% 171.38/171.64 ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12929_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19510,plain,
% 171.38/171.64 ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2618]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2615,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_uminus(X0,X1) != c_0
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12930_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19504,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_uminus(X0,X1) != c_0
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2615]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19505,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.64 | c_uminus(X1,X0) != c_0
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19504]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2612,plain,
% 171.38/171.64 ( c_0 = X0
% 171.38/171.64 | c_uminus(X0,X1) != c_0
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12931_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19498,plain,
% 171.38/171.64 ( c_0 = X0
% 171.38/171.64 | c_uminus(X0,X1) != c_0
% 171.38/171.64 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2612]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19499,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.64 | c_0 = X1
% 171.38/171.64 | c_uminus(X1,X0) != c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19498]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2606,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_HOL_Oabs(X0,X1) != c_0
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12933_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19486,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_HOL_Oabs(X0,X1) != c_0
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2606]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19487,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.64 | c_HOL_Oabs(X1,X0) != c_0
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19486]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2603,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_NatArith_Oof__nat(X0,X1) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12934_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19480,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_NatArith_Oof__nat(X0,X1) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2603]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19481,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.64 | c_NatArith_Oof__nat(X1,X0) != c_0
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19480]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2600,plain,
% 171.38/171.64 ( c_0 = X0
% 171.38/171.64 | c_NatArith_Oof__nat(X0,X1) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12935_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19474,plain,
% 171.38/171.64 ( c_0 = X0
% 171.38/171.64 | c_NatArith_Oof__nat(X0,X1) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2600]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19475,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.64 | c_0 = X1
% 171.38/171.64 | c_NatArith_Oof__nat(X1,X0) != c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19474]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2597,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_IntDef_Oof__int(X0,X1) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12936_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19468,plain,
% 171.38/171.64 ( X0 = c_0
% 171.38/171.64 | c_IntDef_Oof__int(X0,X1) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2597]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19469,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.64 | c_IntDef_Oof__int(X1,X0) != c_0
% 171.38/171.64 | X1 = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19468]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2594,plain,
% 171.38/171.64 ( c_0 = X0
% 171.38/171.64 | c_IntDef_Oof__int(X0,X1) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12937_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19462,plain,
% 171.38/171.64 ( c_0 = X0
% 171.38/171.64 | c_IntDef_Oof__int(X0,X1) != c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2594]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19463,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.64 | c_0 = X1
% 171.38/171.64 | c_IntDef_Oof__int(X1,X0) != c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19462]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2592,plain,
% 171.38/171.64 ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12940_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19458,plain,
% 171.38/171.64 ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2592]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19459,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19458]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2590,plain,
% 171.38/171.64 ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12941_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19454,plain,
% 171.38/171.64 ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2590]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19455,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_0,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19454]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2588,plain,
% 171.38/171.64 ( ~ c_IntDef_Oiszero(c_1,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12942_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19450,plain,
% 171.38/171.64 ( ~ c_IntDef_Oiszero(c_1,X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2588]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19451,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.64 | ~ c_IntDef_Oiszero(c_1,X0) ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19450]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2585,plain,
% 171.38/171.64 ( c_HOL_Oinverse(c_0,X0) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12943_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19444,plain,
% 171.38/171.64 ( c_HOL_Oinverse(c_0,X0) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2585]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19445,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | c_HOL_Oinverse(c_0,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19444]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2582,plain,
% 171.38/171.64 ( c_HOL_Oinverse(c_1,X0) = c_1
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12944_2) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19438,plain,
% 171.38/171.64 ( c_HOL_Oinverse(c_1,X0) = c_1
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2582]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19439,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.64 | ~ class_Ring__and__Field_Ofield(X0)
% 171.38/171.64 | c_HOL_Oinverse(c_1,X0) = c_1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19438]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2578,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_List_Oset(X0,X1) != c_emptyset ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12947_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19430,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_List_Oset(X0,X1) != c_emptyset ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2578]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19431,plain,
% 171.38/171.64 ( c_List_Oset(X0,X1) != c_emptyset | X0 = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19430]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2576,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_List_Orotate1(X0,X1) != c_List_Olist_ONil ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12948_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19426,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_List_Orotate1(X0,X1) != c_List_Olist_ONil ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2576]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19427,plain,
% 171.38/171.64 ( c_List_Orotate1(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19426]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2570,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_List_Oremdups(X0,X1) != c_List_Olist_ONil ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12951_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19414,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_List_Oremdups(X0,X1) != c_List_Olist_ONil ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2570]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19415,plain,
% 171.38/171.64 ( c_List_Oremdups(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19414]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2568,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_List_Orev(X0,X1) != c_List_Olist_ONil ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12952_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19410,plain,
% 171.38/171.64 ( X0 = c_List_Olist_ONil | c_List_Orev(X0,X1) != c_List_Olist_ONil ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2568]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19411,plain,
% 171.38/171.64 ( c_List_Orev(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19410]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2566,plain,
% 171.38/171.64 ( X0 = c_Datatype_Ooption_ONone | c_Datatype_Oo2s(X0,X1) != c_emptyset ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12953_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19406,plain,
% 171.38/171.64 ( X0 = c_Datatype_Ooption_ONone | c_Datatype_Oo2s(X0,X1) != c_emptyset ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2566]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19407,plain,
% 171.38/171.64 ( c_Datatype_Oo2s(X0,X1) != c_emptyset | X0 = c_Datatype_Ooption_ONone ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19406]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2564,plain,
% 171.38/171.64 ( c_HOL_Oabs(c_1,X0) = c_1
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12957_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19402,plain,
% 171.38/171.64 ( c_HOL_Oabs(c_1,X0) = c_1
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2564]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19403,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.64 | c_HOL_Oabs(c_1,X0) = c_1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19402]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2562,plain,
% 171.38/171.64 ( c_OrderedGroup_Opprt(c_0,X0) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12958_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19398,plain,
% 171.38/171.64 ( c_OrderedGroup_Opprt(c_0,X0) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2562]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19399,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.64 | c_OrderedGroup_Opprt(c_0,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19398]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2560,plain,
% 171.38/171.64 ( c_OrderedGroup_Onprt(c_0,X0) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12959_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19394,plain,
% 171.38/171.64 ( c_OrderedGroup_Onprt(c_0,X0) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2560]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19395,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.64 | c_OrderedGroup_Onprt(c_0,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19394]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2556,plain,
% 171.38/171.64 ( c_uminus(c_0,X0) = c_0 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12961_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19386,plain,
% 171.38/171.64 ( c_uminus(c_0,X0) = c_0 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2556]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19387,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Oab__group__add(X0) | c_uminus(c_0,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19386]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2552,plain,
% 171.38/171.64 ( c_HOL_Oabs(c_0,X0) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12963_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19378,plain,
% 171.38/171.64 ( c_HOL_Oabs(c_0,X0) = c_0
% 171.38/171.64 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2552]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19379,plain,
% 171.38/171.64 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.64 | c_HOL_Oabs(c_0,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19378]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2550,plain,
% 171.38/171.64 ( c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12964_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19374,plain,
% 171.38/171.64 ( c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0
% 171.38/171.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2550]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19375,plain,
% 171.38/171.64 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.64 | c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19374]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2546,plain,
% 171.38/171.64 ( c_NatArith_Oof__nat(c_1,X0) = c_1
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12966_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19366,plain,
% 171.38/171.64 ( c_NatArith_Oof__nat(c_1,X0) = c_1
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2546]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19367,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.64 | c_NatArith_Oof__nat(c_1,X0) = c_1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19366]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2544,plain,
% 171.38/171.64 ( c_NatArith_Oof__nat(c_0,X0) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12967_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19362,plain,
% 171.38/171.64 ( c_NatArith_Oof__nat(c_0,X0) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2544]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19363,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.64 | c_NatArith_Oof__nat(c_0,X0) = c_0 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19362]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2540,plain,
% 171.38/171.64 ( c_IntDef_Oof__int(c_1,X0) = c_1
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12969_1) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19354,plain,
% 171.38/171.64 ( c_IntDef_Oof__int(c_1,X0) = c_1
% 171.38/171.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.64 inference(copy,[status(esa)],[c_2540]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_19355,plain,
% 171.38/171.64 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.64 | c_IntDef_Oof__int(c_1,X0) = c_1 ),
% 171.38/171.64 inference(rewriting,[status(thm)],[c_19354]) ).
% 171.38/171.64
% 171.38/171.64 cnf(c_2538,plain,
% 171.38/171.64 ( c_IntDef_Oof__int(c_0,X0) = c_0
% 171.38/171.64 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.64 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12970_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19350,plain,
% 171.38/171.65 ( c_IntDef_Oof__int(c_0,X0) = c_0
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2538]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19351,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.65 | c_IntDef_Oof__int(c_0,X0) = c_0 ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19350]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2536,plain,
% 171.38/171.65 ( class_Finite__Set_Ofinite(tc_set(X0))
% 171.38/171.65 | ~ class_Finite__Set_Ofinite(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12984_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19346,plain,
% 171.38/171.65 ( class_Finite__Set_Ofinite(tc_set(X0))
% 171.38/171.65 | ~ class_Finite__Set_Ofinite(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2536]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2534,plain,
% 171.38/171.65 ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 171.38/171.65 | ~ class_Finite__Set_Ofinite(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12985_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19342,plain,
% 171.38/171.65 ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 171.38/171.65 | ~ class_Finite__Set_Ofinite(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2534]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2532,plain,
% 171.38/171.65 ( X0 = X1 | c_Message_Omsg_OHash(X0) != c_Message_Omsg_OHash(X1) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12989_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19338,plain,
% 171.38/171.65 ( X0 = X1 | c_Message_Omsg_OHash(X0) != c_Message_Omsg_OHash(X1) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2532]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19339,plain,
% 171.38/171.65 ( c_Message_Omsg_OHash(X0) != c_Message_Omsg_OHash(X1) | X0 = X1 ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19338]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2530,plain,
% 171.38/171.65 ( X0 = X1 | c_Message_Omsg_OKey(X0) != c_Message_Omsg_OKey(X1) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12990_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19334,plain,
% 171.38/171.65 ( X0 = X1 | c_Message_Omsg_OKey(X0) != c_Message_Omsg_OKey(X1) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2530]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19335,plain,
% 171.38/171.65 ( c_Message_Omsg_OKey(X0) != c_Message_Omsg_OKey(X1) | X0 = X1 ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19334]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2528,plain,
% 171.38/171.65 ( X0 = X1 | c_Message_Omsg_ONonce(X0) != c_Message_Omsg_ONonce(X1) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12991_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19330,plain,
% 171.38/171.65 ( X0 = X1 | c_Message_Omsg_ONonce(X0) != c_Message_Omsg_ONonce(X1) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2528]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19331,plain,
% 171.38/171.65 ( c_Message_Omsg_ONonce(X0) != c_Message_Omsg_ONonce(X1) | X0 = X1 ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19330]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2526,plain,
% 171.38/171.65 ( X0 = X1 | c_Message_Omsg_ONumber(X0) != c_Message_Omsg_ONumber(X1) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12992_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19326,plain,
% 171.38/171.65 ( X0 = X1 | c_Message_Omsg_ONumber(X0) != c_Message_Omsg_ONumber(X1) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2526]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19327,plain,
% 171.38/171.65 ( c_Message_Omsg_ONumber(X0) != c_Message_Omsg_ONumber(X1) | X0 = X1 ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19326]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2524,plain,
% 171.38/171.65 ( X0 = X1 | c_Message_Omsg_OAgent(X0) != c_Message_Omsg_OAgent(X1) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12993_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19322,plain,
% 171.38/171.65 ( X0 = X1 | c_Message_Omsg_OAgent(X0) != c_Message_Omsg_OAgent(X1) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2524]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19323,plain,
% 171.38/171.65 ( c_Message_Omsg_OAgent(X0) != c_Message_Omsg_OAgent(X1) | X0 = X1 ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19322]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2522,plain,
% 171.38/171.65 ( X0 = X1 | c_Message_OinvKey(X0) != c_Message_OinvKey(X1) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12994_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19318,plain,
% 171.38/171.65 ( X0 = X1 | c_Message_OinvKey(X0) != c_Message_OinvKey(X1) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2522]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19319,plain,
% 171.38/171.65 ( c_Message_OinvKey(X0) != c_Message_OinvKey(X1) | X0 = X1 ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19318]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2520,plain,
% 171.38/171.65 ( X0 = X1
% 171.38/171.65 | c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OFriend(X1) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12995_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19314,plain,
% 171.38/171.65 ( X0 = X1
% 171.38/171.65 | c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OFriend(X1) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2520]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19315,plain,
% 171.38/171.65 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OFriend(X1)
% 171.38/171.65 | X0 = X1 ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19314]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2518,plain,
% 171.38/171.65 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12996_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19310,plain,
% 171.38/171.65 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2518]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19311,plain,
% 171.38/171.65 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19310]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2516,plain,
% 171.38/171.65 ( X0 = X1 | c_IntDef_Oint(X0) != c_IntDef_Oint(X1) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12997_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19306,plain,
% 171.38/171.65 ( X0 = X1 | c_IntDef_Oint(X0) != c_IntDef_Oint(X1) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2516]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19307,plain,
% 171.38/171.65 ( c_IntDef_Oint(X0) != c_IntDef_Oint(X1) | X0 = X1 ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19306]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2514,plain,
% 171.38/171.65 ( class_Orderings_Olinorder(X0)
% 171.38/171.65 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13037_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19302,plain,
% 171.38/171.65 ( class_Orderings_Olinorder(X0)
% 171.38/171.65 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2514]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2512,plain,
% 171.38/171.65 ( class_LOrder_Olorder(X0)
% 171.38/171.65 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13038_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19298,plain,
% 171.38/171.65 ( class_LOrder_Olorder(X0)
% 171.38/171.65 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2512]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2510,plain,
% 171.38/171.65 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.65 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13039_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19294,plain,
% 171.38/171.65 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.65 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2510]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2508,plain,
% 171.38/171.65 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.65 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13040_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19290,plain,
% 171.38/171.65 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.65 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2508]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2506,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13041_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19286,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2506]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2504,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13042_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19282,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2504]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2502,plain,
% 171.38/171.65 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13043_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19278,plain,
% 171.38/171.65 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2502]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2500,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13044_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19274,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2500]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2498,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13045_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19270,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2498]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19271,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19270]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2496,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13046_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19266,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2496]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19267,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19266]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2494,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13047_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19262,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2494]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19263,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.65 | class_HOL_Ozero(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19262]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2492,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13048_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19258,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2492]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2490,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13049_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19254,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2490]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2488,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13050_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19250,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2488]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2486,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13051_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19246,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2486]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2484,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13052_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19242,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2484]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2482,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13053_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19238,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2482]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2480,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13054_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19234,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2480]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19235,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.65 | class_HOL_Otimes(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19234]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2478,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13055_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19230,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2478]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19231,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19230]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2476,plain,
% 171.38/171.65 ( class_HOL_Oone(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13056_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19226,plain,
% 171.38/171.65 ( class_HOL_Oone(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2476]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2474,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13057_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19222,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2474]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2472,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13058_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19218,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2472]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2470,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13059_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19214,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2470]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19215,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19214]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2468,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13060_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19210,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2468]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19211,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19210]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2466,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13061_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19206,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2466]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2464,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13062_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19202,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2464]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19203,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Otimes(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19202]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2462,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13063_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19198,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2462]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19199,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19198]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2460,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13064_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19194,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2460]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2458,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13065_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19190,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2458]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2456,plain,
% 171.38/171.65 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13066_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19186,plain,
% 171.38/171.65 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2456]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2454,plain,
% 171.38/171.65 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13067_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19182,plain,
% 171.38/171.65 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2454]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2452,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13068_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19178,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2452]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2450,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13069_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19174,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2450]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19175,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Ozero(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19174]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2448,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13070_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19170,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2448]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2446,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13071_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19166,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2446]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2444,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13072_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19162,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2444]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19163,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | class_HOL_Ozero(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19162]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2442,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13073_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19158,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2442]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19159,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | class_HOL_Oplus(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19158]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2440,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13074_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19154,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2440]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19155,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19154]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2438,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13075_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19150,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2438]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19151,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19150]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2436,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13076_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19146,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2436]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2434,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13077_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19142,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2434]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19143,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | class_HOL_Otimes(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19142]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2432,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13078_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19138,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2432]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19139,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19138]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2430,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13079_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19134,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2430]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2428,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13080_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19130,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2428]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2426,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13081_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19126,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2426]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2424,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13082_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19122,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2424]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19123,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Ozero(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19122]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2422,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13083_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19118,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2422]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2420,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13084_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19114,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2420]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19115,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Otimes(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19114]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2418,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13085_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19110,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2418]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19111,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19110]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2416,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13086_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19106,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2416]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19107,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Oplus(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19106]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2414,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13087_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19102,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2414]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19103,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19102]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2412,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13088_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19098,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2412]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19099,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19098]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2410,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13089_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19094,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2410]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2408,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13090_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19090,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2408]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19091,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Otimes(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19090]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2406,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13091_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19086,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2406]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19087,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19086]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2404,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13092_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19082,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2404]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19083,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Oplus(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19082]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2402,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13093_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19078,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2402]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19079,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19078]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2400,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13094_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19074,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2400]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19075,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19074]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2398,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13095_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19070,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2398]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19071,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Otimes(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19070]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2396,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13096_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19066,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2396]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19067,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oring__1(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19066]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2394,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13097_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19062,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2394]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2392,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13098_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19058,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2392]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2390,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13099_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19054,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2390]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2388,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13100_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19050,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2388]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2386,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13101_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19046,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2386]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2384,plain,
% 171.38/171.65 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13102_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19042,plain,
% 171.38/171.65 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2384]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2382,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13103_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19038,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2382]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2380,plain,
% 171.38/171.65 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13104_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19034,plain,
% 171.38/171.65 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2380]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2378,plain,
% 171.38/171.65 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13105_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19030,plain,
% 171.38/171.65 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2378]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2376,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13106_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19026,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2376]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2374,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13107_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19022,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2374]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2372,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13108_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19018,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2372]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19019,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ozero(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19018]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2370,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13109_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19014,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2370]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2368,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13110_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19010,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2368]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19011,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oring__1(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19010]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2366,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13111_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19006,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2366]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19007,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oring__1(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_19006]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2364,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13112_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_19002,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2364]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2362,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13113_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18998,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2362]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2360,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13114_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18994,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2360]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2358,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13115_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18990,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2358]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18991,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ozero(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18990]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2356,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13116_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18986,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2356]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2354,plain,
% 171.38/171.65 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13117_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18982,plain,
% 171.38/171.65 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2354]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2352,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13118_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18978,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2352]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2350,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13119_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18974,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2350]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18975,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Otimes(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18974]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2348,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13120_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18970,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2348]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18971,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18970]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2346,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13121_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18966,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2346]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18967,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Oplus(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18966]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2344,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13122_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18962,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2344]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18963,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18962]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2342,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13123_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18958,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2342]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2340,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13124_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18954,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2340]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2338,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13125_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18950,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2338]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2336,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13126_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18946,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2336]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2334,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13127_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18942,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2334]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18943,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oring(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18942]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2332,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13128_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18938,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2332]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2330,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13129_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18934,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2330]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2328,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13130_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18930,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2328]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2326,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13131_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18926,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2326]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2324,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13132_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18922,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2324]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18923,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18922]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2322,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13133_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18918,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2322]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18919,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18918]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2320,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13134_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18914,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2320]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2318,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13135_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18910,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2318]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2316,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13136_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18906,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2316]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18907,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18906]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2314,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13137_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18902,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2314]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18903,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | class_Orderings_Oord(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18902]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2312,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13138_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18898,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2312]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2310,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13139_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18894,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2310]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2308,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13140_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18890,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2308]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2306,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13141_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18886,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2306]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2304,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13142_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18882,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2304]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18883,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18882]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2302,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13143_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18878,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2302]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2300,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13144_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18874,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2300]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2298,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13145_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18870,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2298]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2296,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13146_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18866,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2296]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2294,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13147_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18862,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2294]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2292,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13148_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18858,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2292]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2290,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13149_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18854,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2290]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2288,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13150_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18850,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2288]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2286,plain,
% 171.38/171.65 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13151_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18846,plain,
% 171.38/171.65 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2286]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2284,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13152_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18842,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2284]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2282,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13153_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18838,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2282]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18839,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 171.38/171.65 | class_Orderings_Oord(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18838]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2280,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13154_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18834,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2280]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2278,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13155_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18830,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2278]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2276,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13156_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18826,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2276]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2274,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13157_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18822,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2274]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2272,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13158_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18818,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2272]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2270,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13159_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18814,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2270]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18815,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18814]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2268,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13160_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18810,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2268]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18811,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18810]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2266,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13161_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18806,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2266]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2264,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13162_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18802,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2264]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2262,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13163_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18798,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2262]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2260,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13164_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18794,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2260]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18795,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18794]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2258,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13165_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18790,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2258]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18791,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18790]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2256,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13166_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18786,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2256]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2254,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13167_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18782,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2254]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2252,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13168_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18778,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2252]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18779,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18778]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2250,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13169_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18774,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2250]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2248,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13170_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18770,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2248]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2246,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13171_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18766,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2246]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18767,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18766]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2244,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13172_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18762,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2244]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2242,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13173_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18758,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2242]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18759,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.65 | class_Orderings_Oord(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18758]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2240,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13174_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18754,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2240]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2238,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13175_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18750,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2238]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2236,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13176_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18746,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2236]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2234,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13177_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18742,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2234]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2232,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13178_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18738,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2232]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2230,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13179_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18734,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2230]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2228,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13180_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18730,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2228]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2226,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13181_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18726,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2226]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2224,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13182_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18722,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2224]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2222,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13183_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18718,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2222]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2220,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13184_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18714,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2220]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2218,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13185_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18710,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2218]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2216,plain,
% 171.38/171.65 ( class_HOL_Ominus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13186_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18706,plain,
% 171.38/171.65 ( class_HOL_Ominus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2216]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2214,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13187_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18702,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2214]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2212,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13188_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18698,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2212]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2210,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13189_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18694,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2210]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2208,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13190_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18690,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2208]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2206,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13191_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18686,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2206]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2204,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13192_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18682,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2204]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2202,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13193_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18678,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2202]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2200,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13194_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18674,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2200]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2198,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13195_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18670,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2198]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2196,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13196_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18666,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2196]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2194,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13197_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18662,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2194]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2192,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13198_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18658,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2192]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2190,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13199_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18654,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2190]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2188,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13200_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18650,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2188]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2186,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13201_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18646,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2186]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2184,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13202_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18642,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2184]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2182,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13203_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18638,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2182]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2180,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13204_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18634,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2180]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2178,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13205_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18630,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2178]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18631,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18630]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2176,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13206_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18626,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2176]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18627,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18626]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2174,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13207_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18622,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2174]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2172,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13208_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18618,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2172]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2170,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13209_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18614,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2170]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2168,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13210_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18610,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2168]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2166,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13211_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18606,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2166]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18607,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18606]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2164,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13212_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18602,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2164]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2162,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13213_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18598,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2162]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2160,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13214_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18594,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2160]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2158,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13215_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18590,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2158]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2156,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13216_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18586,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2156]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18587,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.65 | class_Orderings_Oord(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18586]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2154,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13217_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18582,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2154]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2152,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13218_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18578,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2152]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2150,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13219_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18574,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2150]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2148,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13220_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18570,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2148]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2146,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13221_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18566,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2146]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2144,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13222_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18562,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2144]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2142,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13223_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18558,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2142]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2140,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13224_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18554,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2140]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18555,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18554]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2138,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13225_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18550,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2138]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2136,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13226_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18546,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2136]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2134,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13227_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18542,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2134]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18543,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18542]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2132,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13228_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18538,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2132]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2130,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13229_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18534,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2130]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2128,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13230_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18530,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2128]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2126,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13231_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18526,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2126]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2124,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13232_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18522,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2124]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2122,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13233_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18518,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2122]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2120,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13234_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18514,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2120]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18515,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.65 | class_Orderings_Oord(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18514]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2118,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13235_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18510,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2118]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2116,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13236_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18506,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2116]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2114,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13237_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18502,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2114]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18503,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18502]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2112,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13238_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18498,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2112]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18499,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18498]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2110,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13239_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18494,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2110]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2108,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13240_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18490,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2108]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2106,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13241_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18486,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2106]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2104,plain,
% 171.38/171.65 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13242_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18482,plain,
% 171.38/171.65 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2104]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2102,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13243_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18478,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2102]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2100,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13244_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18474,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2100]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2098,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13245_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18470,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2098]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18471,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18470]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2096,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13246_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18466,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2096]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18467,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18466]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2094,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13247_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18462,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2094]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2092,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13248_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18458,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2092]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2090,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13249_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18454,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2090]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2088,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13250_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18450,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2088]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2086,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13251_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18446,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2086]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2084,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13252_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18442,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2084]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2082,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13253_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18438,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2082]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18439,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18438]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2080,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13254_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18434,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2080]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2078,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13255_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18430,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2078]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18431,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.65 | class_Orderings_Oord(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18430]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2076,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13256_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18426,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2076]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2074,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13257_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18422,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2074]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2072,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13258_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18418,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2072]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2070,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13259_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18414,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2070]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2068,plain,
% 171.38/171.65 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13260_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18410,plain,
% 171.38/171.65 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2068]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2066,plain,
% 171.38/171.65 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13261_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18406,plain,
% 171.38/171.65 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2066]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2064,plain,
% 171.38/171.65 ( class_LOrder_Olorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13262_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18402,plain,
% 171.38/171.65 ( class_LOrder_Olorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2064]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2062,plain,
% 171.38/171.65 ( class_Orderings_Olinorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13263_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18398,plain,
% 171.38/171.65 ( class_Orderings_Olinorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2062]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2060,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13264_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18394,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2060]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2058,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13265_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18390,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2058]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2056,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13266_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18386,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2056]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2054,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13267_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18382,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2054]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2052,plain,
% 171.38/171.65 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13268_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18378,plain,
% 171.38/171.65 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2052]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2050,plain,
% 171.38/171.65 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13269_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18374,plain,
% 171.38/171.65 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2050]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2048,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13270_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18370,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2048]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2046,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13271_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18366,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2046]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2044,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13272_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18362,plain,
% 171.38/171.65 ( class_Orderings_Oord(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2044]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2042,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13273_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18358,plain,
% 171.38/171.65 ( class_Orderings_Oorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2042]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2040,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13274_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18354,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2040]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2038,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13275_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18350,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2038]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2036,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13276_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18346,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2036]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2034,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13277_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18342,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2034]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2032,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13278_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18338,plain,
% 171.38/171.65 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2032]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2030,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13279_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18334,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2030]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2028,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13280_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18330,plain,
% 171.38/171.65 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2028]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2026,plain,
% 171.38/171.65 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13281_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18326,plain,
% 171.38/171.65 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2026]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2024,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13282_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18322,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2024]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2022,plain,
% 171.38/171.65 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13283_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18318,plain,
% 171.38/171.65 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2022]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2020,plain,
% 171.38/171.65 ( class_LOrder_Olorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13284_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18314,plain,
% 171.38/171.65 ( class_LOrder_Olorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2020]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2018,plain,
% 171.38/171.65 ( class_Orderings_Olinorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13285_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18310,plain,
% 171.38/171.65 ( class_Orderings_Olinorder(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2018]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2016,plain,
% 171.38/171.65 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13286_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18306,plain,
% 171.38/171.65 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2016]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2014,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13287_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18302,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2014]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2012,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13288_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18298,plain,
% 171.38/171.65 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2012]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2010,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13289_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18294,plain,
% 171.38/171.65 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2010]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2008,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13290_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18290,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2008]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18291,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18290]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2006,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13291_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18286,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2006]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2004,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13292_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18282,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2004]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18283,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18282]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2002,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13293_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18278,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2002]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_2000,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13294_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18274,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_2000]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_1998,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13295_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18270,plain,
% 171.38/171.65 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_1998]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_1996,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13296_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18266,plain,
% 171.38/171.65 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_1996]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_1994,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13297_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18262,plain,
% 171.38/171.65 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_1994]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_1992,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13298_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18258,plain,
% 171.38/171.65 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_1992]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18259,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.65 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18258]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_1990,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13299_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18254,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_1990]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_1988,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13300_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18250,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_1988]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_1986,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13301_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18246,plain,
% 171.38/171.65 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_1986]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_1984,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13302_1) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18242,plain,
% 171.38/171.65 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.65 inference(copy,[status(esa)],[c_1984]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_18243,plain,
% 171.38/171.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.65 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.65 inference(rewriting,[status(thm)],[c_18242]) ).
% 171.38/171.65
% 171.38/171.65 cnf(c_1982,plain,
% 171.38/171.65 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13303_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18238,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1982]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1980,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13304_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18234,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1980]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1978,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13305_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18230,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1978]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1976,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13306_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18226,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1976]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1974,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13307_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18222,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1974]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18223,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.38/171.66 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_18222]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1972,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13308_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18218,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1972]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1970,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13309_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18214,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1970]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1968,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13310_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18210,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1968]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1966,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13311_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18206,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1966]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1964,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13312_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18202,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1964]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1962,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13313_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18198,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1962]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1960,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13314_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18194,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1960]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1958,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13315_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18190,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1958]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1956,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13316_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18186,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1956]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1954,plain,
% 171.38/171.66 ( class_Ring__and__Field_Olordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13317_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18182,plain,
% 171.38/171.66 ( class_Ring__and__Field_Olordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1954]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1952,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13318_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18178,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1952]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1950,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13319_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18174,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1950]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1948,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13320_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18170,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1948]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1946,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13321_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18166,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1946]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1944,plain,
% 171.38/171.66 ( class_Orderings_Oord(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13322_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18162,plain,
% 171.38/171.66 ( class_Orderings_Oord(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1944]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1942,plain,
% 171.38/171.66 ( class_Orderings_Oorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13323_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18158,plain,
% 171.38/171.66 ( class_Orderings_Oorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1942]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1940,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13324_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18154,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1940]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1938,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13325_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18150,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1938]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1936,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13326_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18146,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1936]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1934,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13327_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18142,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1934]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1932,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13328_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18138,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1932]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1930,plain,
% 171.38/171.66 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13329_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18134,plain,
% 171.38/171.66 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1930]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1928,plain,
% 171.38/171.66 ( class_HOL_Ominus(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13330_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18130,plain,
% 171.38/171.66 ( class_HOL_Ominus(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1928]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1926,plain,
% 171.38/171.66 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13331_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18126,plain,
% 171.38/171.66 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1926]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1924,plain,
% 171.38/171.66 ( class_LOrder_Olorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13332_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18122,plain,
% 171.38/171.66 ( class_LOrder_Olorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1924]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1922,plain,
% 171.38/171.66 ( class_Orderings_Olinorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13333_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18118,plain,
% 171.38/171.66 ( class_Orderings_Olinorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1922]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1920,plain,
% 171.38/171.66 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13334_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18114,plain,
% 171.38/171.66 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1920]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1918,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13335_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18110,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1918]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1916,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13336_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18106,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1916]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1914,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13337_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18102,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1914]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1912,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13338_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18098,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1912]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18099,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.38/171.66 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_18098]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1910,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13339_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18094,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1910]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18095,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.38/171.66 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_18094]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1908,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13340_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18090,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1908]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1906,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13341_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18086,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1906]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1904,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13342_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18082,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1904]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1902,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13343_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18078,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1902]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1900,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13344_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18074,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1900]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1898,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13345_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18070,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1898]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1896,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13346_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18066,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1896]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1894,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oidom(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13347_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18062,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oidom(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1894]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1892,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13348_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18058,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1892]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1890,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13349_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18054,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1890]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1888,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13350_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18050,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1888]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1886,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13351_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18046,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1886]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1884,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13352_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18042,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1884]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1882,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13353_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18038,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1882]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1880,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13354_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18034,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1880]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1878,plain,
% 171.38/171.66 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13355_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18030,plain,
% 171.38/171.66 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1878]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1876,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13356_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18026,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1876]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1874,plain,
% 171.38/171.66 ( class_Ring__and__Field_Olordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13357_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18022,plain,
% 171.38/171.66 ( class_Ring__and__Field_Olordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1874]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1872,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13358_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18018,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1872]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1870,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13359_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18014,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1870]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1868,plain,
% 171.38/171.66 ( class_Orderings_Oord(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13360_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18010,plain,
% 171.38/171.66 ( class_Orderings_Oord(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1868]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1866,plain,
% 171.38/171.66 ( class_Orderings_Oorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13361_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18006,plain,
% 171.38/171.66 ( class_Orderings_Oorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1866]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1864,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13362_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_18002,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1864]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1862,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13363_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17998,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1862]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1860,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13364_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17994,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1860]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1858,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13365_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17990,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1858]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1856,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13366_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17986,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1856]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1854,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13367_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17982,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1854]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1852,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13368_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17978,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1852]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1850,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13369_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17974,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1850]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1848,plain,
% 171.38/171.66 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13370_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17970,plain,
% 171.38/171.66 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1848]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1846,plain,
% 171.38/171.66 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13371_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17966,plain,
% 171.38/171.66 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1846]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1844,plain,
% 171.38/171.66 ( class_LOrder_Olorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13372_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17962,plain,
% 171.38/171.66 ( class_LOrder_Olorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1844]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1842,plain,
% 171.38/171.66 ( class_Orderings_Olinorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13373_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17958,plain,
% 171.38/171.66 ( class_Orderings_Olinorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1842]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1840,plain,
% 171.38/171.66 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13374_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17954,plain,
% 171.38/171.66 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1840]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1838,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13375_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17950,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1838]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1836,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13376_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17946,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1836]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1834,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13377_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17942,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1834]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1832,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13378_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17938,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1832]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1830,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13379_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17934,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1830]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17935,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.66 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17934]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1828,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13380_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17930,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1828]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1826,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13381_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17926,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1826]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17927,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.66 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17926]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1824,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13382_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17922,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1824]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1822,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13383_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17918,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1822]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1820,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13384_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17914,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1820]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1818,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13385_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17910,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1818]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1816,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13386_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17906,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1816]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17907,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.66 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17906]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1814,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13387_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17902,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1814]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1812,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13388_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17898,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1812]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1810,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13389_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17894,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1810]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1808,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13390_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17890,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1808]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1806,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13391_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17886,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1806]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17887,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.66 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17886]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1804,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13392_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17882,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1804]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1802,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13393_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17878,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1802]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1800,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13394_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17874,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1800]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1798,plain,
% 171.38/171.66 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13395_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17870,plain,
% 171.38/171.66 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1798]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1796,plain,
% 171.38/171.66 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13396_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17866,plain,
% 171.38/171.66 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1796]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1794,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13397_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17862,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1794]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1792,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13398_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17858,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1792]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1790,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13399_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17854,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1790]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1788,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13400_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17850,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1788]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1786,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13401_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17846,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1786]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1784,plain,
% 171.38/171.66 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13402_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17842,plain,
% 171.38/171.66 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1784]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1782,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13403_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17838,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1782]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1780,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13404_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17834,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__semidom(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1780]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1778,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13405_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17830,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1778]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1776,plain,
% 171.38/171.66 ( class_Orderings_Oord(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13406_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17826,plain,
% 171.38/171.66 ( class_Orderings_Oord(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1776]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1774,plain,
% 171.38/171.66 ( class_Orderings_Oorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13407_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17822,plain,
% 171.38/171.66 ( class_Orderings_Oorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1774]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1772,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13408_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17818,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1772]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1770,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13409_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17814,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1770]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1768,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13410_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17810,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1768]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1766,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13411_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17806,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1766]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1764,plain,
% 171.38/171.66 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13412_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17802,plain,
% 171.38/171.66 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1764]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1762,plain,
% 171.38/171.66 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13413_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17798,plain,
% 171.38/171.66 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1762]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1760,plain,
% 171.38/171.66 ( class_LOrder_Olorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13414_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17794,plain,
% 171.38/171.66 ( class_LOrder_Olorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1760]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1758,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13415_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17790,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1758]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1756,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13416_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17786,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1756]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1754,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13417_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17782,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1754]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1752,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13418_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17778,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1752]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1750,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13419_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17774,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1750]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1748,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13420_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17770,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1748]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1746,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13421_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17766,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1746]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1744,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13422_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17762,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1744]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1742,plain,
% 171.38/171.66 ( class_Ring__and__Field_Olordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13423_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17758,plain,
% 171.38/171.66 ( class_Ring__and__Field_Olordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1742]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1740,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13424_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17754,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1740]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1738,plain,
% 171.38/171.66 ( class_Orderings_Olinorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13425_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17750,plain,
% 171.38/171.66 ( class_Orderings_Olinorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1738]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1736,plain,
% 171.38/171.66 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13426_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17746,plain,
% 171.38/171.66 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1736]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1734,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13427_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17742,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1734]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1732,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13428_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17738,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1732]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1730,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13429_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17734,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1730]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1728,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13430_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17730,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1728]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1726,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13431_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17726,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1726]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1724,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13432_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17722,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1724]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1722,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13433_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17718,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__idom(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1722]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1720,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13434_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17714,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1720]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1718,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13435_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17710,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1718]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1716,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13436_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17706,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1716]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1714,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13437_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17702,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1714]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1712,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13438_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17698,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1712]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1710,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13439_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17694,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1710]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1708,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13440_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17690,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1708]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1706,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13441_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17686,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1706]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1704,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13442_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17682,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1704]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1702,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13443_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17678,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1702]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1700,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13444_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17674,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1700]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1698,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13445_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17670,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1698]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1696,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13446_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17666,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1696]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1694,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13447_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17662,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1694]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1692,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13448_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17658,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1692]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1690,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oidom(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13449_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17654,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oidom(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1690]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1688,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13450_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17650,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1688]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1686,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13451_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17646,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1686]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1684,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13452_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17642,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1684]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1682,plain,
% 171.38/171.66 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13453_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17638,plain,
% 171.38/171.66 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1682]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1680,plain,
% 171.38/171.66 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13454_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17634,plain,
% 171.38/171.66 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1680]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1678,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13455_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17630,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1678]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1676,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13456_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17626,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1676]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1674,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13457_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17622,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1674]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1672,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13458_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17618,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1672]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1670,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13459_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17614,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1670]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1668,plain,
% 171.38/171.66 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13460_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17610,plain,
% 171.38/171.66 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1668]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1666,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ofield(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13461_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17606,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ofield(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1666]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1664,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13462_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17602,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1664]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17603,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 171.38/171.66 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17602]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1662,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13463_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17598,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1662]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17599,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 171.38/171.66 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17598]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1660,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13464_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17594,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1660]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1658,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13465_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17590,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1658]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1656,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13466_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17586,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1656]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17587,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 171.38/171.66 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17586]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1654,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13467_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17582,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1654]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1652,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13468_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17578,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1652]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1650,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13469_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17574,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1650]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1648,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13470_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17570,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1648]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1646,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13471_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17566,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1646]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1644,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13472_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17562,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1644]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1642,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13473_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17558,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1642]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1640,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13474_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17554,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1640]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1638,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13475_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17550,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1638]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1636,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13476_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17546,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1636]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1634,plain,
% 171.38/171.66 ( class_Orderings_Oord(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13477_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17542,plain,
% 171.38/171.66 ( class_Orderings_Oord(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1634]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17543,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 171.38/171.66 | class_Orderings_Oord(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17542]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1632,plain,
% 171.38/171.66 ( class_Orderings_Oorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13478_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17538,plain,
% 171.38/171.66 ( class_Orderings_Oorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1632]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1630,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13479_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17534,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1630]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17535,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 171.38/171.66 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17534]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1628,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13480_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17530,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1628]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1626,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13481_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17526,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1626]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1624,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13482_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17522,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1624]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1622,plain,
% 171.38/171.66 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13483_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17518,plain,
% 171.38/171.66 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1622]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1620,plain,
% 171.38/171.66 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13484_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17514,plain,
% 171.38/171.66 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1620]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1618,plain,
% 171.38/171.66 ( class_LOrder_Olorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13485_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17510,plain,
% 171.38/171.66 ( class_LOrder_Olorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1618]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1616,plain,
% 171.38/171.66 ( class_Orderings_Olinorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13486_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17506,plain,
% 171.38/171.66 ( class_Orderings_Olinorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1616]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1614,plain,
% 171.38/171.66 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13487_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17502,plain,
% 171.38/171.66 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1614]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1612,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13488_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17498,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1612]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1610,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13489_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17494,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1610]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1608,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13490_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17490,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1608]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1606,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13491_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17486,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1606]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1604,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13492_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17482,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1604]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1602,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13493_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17478,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1602]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1600,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13494_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17474,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1600]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1598,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13495_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17470,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1598]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1596,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13496_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17466,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1596]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1594,plain,
% 171.38/171.66 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13497_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17462,plain,
% 171.38/171.66 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1594]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1592,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13498_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17458,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1592]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1590,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13499_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17454,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1590]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1588,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13500_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17450,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1588]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1586,plain,
% 171.38/171.66 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13501_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17446,plain,
% 171.38/171.66 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1586]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1584,plain,
% 171.38/171.66 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13502_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17442,plain,
% 171.38/171.66 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1584]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1582,plain,
% 171.38/171.66 ( class_LOrder_Olorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13503_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17438,plain,
% 171.38/171.66 ( class_LOrder_Olorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1582]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1580,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13504_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17434,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1580]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1578,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13505_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17430,plain,
% 171.38/171.66 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1578]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1576,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13506_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17426,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1576]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1574,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13507_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17422,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1574]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17423,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 171.38/171.66 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17422]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1572,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13508_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17418,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1572]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1570,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13509_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17414,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1570]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17415,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 171.38/171.66 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17414]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1568,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13510_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17410,plain,
% 171.38/171.66 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1568]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1566,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13511_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17406,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1566]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1564,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13512_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17402,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1564]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1562,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13513_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17398,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1562]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1560,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13514_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17394,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1560]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1558,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13515_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17390,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1558]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17391,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 171.38/171.66 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17390]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1556,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13516_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17386,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1556]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1554,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13517_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17382,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1554]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1552,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13518_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17378,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1552]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1550,plain,
% 171.38/171.66 ( class_Orderings_Oord(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13519_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17374,plain,
% 171.38/171.66 ( class_Orderings_Oord(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1550]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1548,plain,
% 171.38/171.66 ( class_Orderings_Oorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13520_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17370,plain,
% 171.38/171.66 ( class_Orderings_Oorder(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1548]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1546,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13521_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17366,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1546]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1544,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13522_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17362,plain,
% 171.38/171.66 ( class_Ring__and__Field_Opordered__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1544]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1542,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13523_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17358,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1542]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1540,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13524_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17354,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1540]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1538,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13525_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17350,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1538]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1536,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13526_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17346,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1536]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1534,plain,
% 171.38/171.66 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13527_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17342,plain,
% 171.38/171.66 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1534]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1532,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13528_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17338,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1532]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1530,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13529_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17334,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1530]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1528,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13530_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17330,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1528]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1526,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13531_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17326,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1526]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1524,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13532_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17322,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1524]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17323,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oidom(X0)
% 171.38/171.66 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17322]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1522,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13533_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17318,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1522]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1520,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13534_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17314,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1520]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17315,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oidom(X0)
% 171.38/171.66 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17314]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1518,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13535_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17310,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1518]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1516,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13536_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17306,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1516]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1514,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13537_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17302,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1514]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1512,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13538_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17298,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1512]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1510,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13539_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17294,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1510]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17295,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oidom(X0)
% 171.38/171.66 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17294]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1508,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13540_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17290,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1508]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1506,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13541_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17286,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1506]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1504,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13542_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17282,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1504]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1502,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13543_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17278,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1502]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1500,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13544_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17274,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1500]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17275,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Oidom(X0)
% 171.38/171.66 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17274]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1498,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13545_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17270,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1498]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1496,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13546_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17266,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1496]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1494,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13547_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17262,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1494]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1492,plain,
% 171.38/171.66 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13548_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17258,plain,
% 171.38/171.66 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1492]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1490,plain,
% 171.38/171.66 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13549_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17254,plain,
% 171.38/171.66 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1490]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1488,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13550_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17250,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1488]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1486,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13551_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17246,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1486]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1484,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13552_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17242,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1484]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1482,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13553_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17238,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Oidom(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1482]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1480,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13554_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17234,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1480]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1478,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13555_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17230,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1478]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1476,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13556_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17226,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1476]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1474,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13557_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17222,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1474]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1472,plain,
% 171.38/171.66 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13558_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17218,plain,
% 171.38/171.66 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1472]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1470,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13559_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17214,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1470]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1468,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13560_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17210,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1468]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1466,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oidom(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13561_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17206,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oidom(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1466]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1464,plain,
% 171.38/171.66 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13562_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17202,plain,
% 171.38/171.66 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1464]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1462,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13563_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17198,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1462]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1460,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13564_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17194,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1460]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1458,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13565_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17190,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1458]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1456,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13566_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17186,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1456]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1454,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13567_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17182,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1454]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1452,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13568_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17178,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1452]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1450,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13569_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17174,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1450]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1448,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13570_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17170,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1448]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1446,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13571_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17166,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1446]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1444,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13572_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17162,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1444]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1442,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13573_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17158,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1442]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1440,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13574_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17154,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1440]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1438,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13575_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17150,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1438]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1436,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13576_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17146,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1436]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1434,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13577_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17142,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1434]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1432,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13578_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17138,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1432]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1430,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13579_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17134,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1430]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1428,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13580_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17130,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1428]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1426,plain,
% 171.38/171.66 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13581_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17126,plain,
% 171.38/171.66 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1426]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1424,plain,
% 171.38/171.66 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13582_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17122,plain,
% 171.38/171.66 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1424]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1422,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13583_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17118,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1422]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1420,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13584_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17114,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1420]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1418,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13585_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17110,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1418]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1416,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13586_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17106,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ofield(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1416]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1414,plain,
% 171.38/171.66 ( class_HOL_Oinverse(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13587_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17102,plain,
% 171.38/171.66 ( class_HOL_Oinverse(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1414]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17103,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 171.38/171.66 | class_HOL_Oinverse(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17102]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1412,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13588_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17098,plain,
% 171.38/171.66 ( class_HOL_Ozero(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1412]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1410,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13589_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17094,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1410]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1408,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13590_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17090,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1408]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1406,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13591_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17086,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1406]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1404,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13592_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17082,plain,
% 171.38/171.66 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1404]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1402,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13593_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17078,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1402]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1400,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13594_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17074,plain,
% 171.38/171.66 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1400]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17075,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17074]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1398,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13595_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17070,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1398]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1396,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13596_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17066,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1396]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1394,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13597_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17062,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1394]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1392,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13598_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17058,plain,
% 171.38/171.66 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1392]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1390,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13599_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17054,plain,
% 171.38/171.66 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1390]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1388,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13600_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17050,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1388]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1386,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13601_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17046,plain,
% 171.38/171.66 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1386]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1384,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13602_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17042,plain,
% 171.38/171.66 ( class_HOL_Otimes(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1384]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17043,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | class_HOL_Otimes(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17042]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1382,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13603_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17038,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1382]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17039,plain,
% 171.38/171.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.66 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.66 inference(rewriting,[status(thm)],[c_17038]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1380,plain,
% 171.38/171.66 ( class_HOL_Oone(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13604_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17034,plain,
% 171.38/171.66 ( class_HOL_Oone(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1380]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1378,plain,
% 171.38/171.66 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13605_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17030,plain,
% 171.38/171.66 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1378]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1376,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13606_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17026,plain,
% 171.38/171.66 ( class_HOL_Oplus(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1376]) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_1374,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13607_1) ).
% 171.38/171.66
% 171.38/171.66 cnf(c_17022,plain,
% 171.38/171.66 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.66 inference(copy,[status(esa)],[c_1374]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_17023,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_17022]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1372,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13608_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_17018,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1372]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_17019,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_17018]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1370,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13609_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_17014,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1370]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_17015,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.67 | class_HOL_Ozero(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_17014]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1368,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13610_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_17010,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1368]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1366,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13611_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_17006,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1366]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1364,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13612_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_17002,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1364]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_17003,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.67 | class_HOL_Otimes(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_17002]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1362,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13613_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16998,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1362]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16999,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16998]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1360,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13614_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16994,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1360]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1358,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13615_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16990,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1358]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1356,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13616_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16986,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1356]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16987,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16986]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1354,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13617_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16982,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1354]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1352,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13618_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16978,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1352]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1350,plain,
% 171.38/171.67 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13619_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16974,plain,
% 171.38/171.67 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1350]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1348,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13620_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16970,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1348]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1346,plain,
% 171.38/171.67 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13621_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16966,plain,
% 171.38/171.67 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1346]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1344,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13622_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16962,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1344]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1342,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13623_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16958,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1342]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1340,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13624_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16954,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1340]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16955,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16954]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1338,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13625_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16950,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1338]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16951,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16950]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1336,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13626_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16946,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1336]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1334,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13627_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16942,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1334]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16943,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Ozero(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16942]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1332,plain,
% 171.38/171.67 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13628_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16938,plain,
% 171.38/171.67 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1332]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1330,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13629_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16934,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1330]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16935,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16934]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1328,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13630_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16930,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1328]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16931,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16930]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1326,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13631_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16926,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1326]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1324,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13632_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16922,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1324]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16923,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.67 | class_HOL_Otimes(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16922]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1322,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13633_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16918,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1322]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16919,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16918]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1320,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13634_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16914,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1320]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1318,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13635_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16910,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1318]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1316,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13636_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16906,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1316]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16907,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16906]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1314,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13637_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16902,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1314]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1312,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13638_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16898,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1312]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1310,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13639_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16894,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1310]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1308,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13640_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16890,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1308]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16891,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.67 | class_HOL_Ozero(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16890]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1306,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13641_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16886,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1306]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1304,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13642_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16882,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1304]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1302,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13643_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16878,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1302]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1300,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13644_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16874,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1300]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16875,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Ozero(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16874]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1298,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13645_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16870,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1298]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1296,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13646_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16866,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1296]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16867,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | class_HOL_Otimes(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16866]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1294,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13647_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16862,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1294]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16863,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16862]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1292,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13648_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16858,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1292]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16859,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Oplus(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16858]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1290,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13649_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16854,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1290]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16855,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16854]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1288,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13650_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16850,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1288]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16851,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16850]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1286,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13651_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16846,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1286]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1284,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13652_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16842,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1284]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1282,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13653_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16838,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1282]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16839,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16838]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1280,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13654_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16834,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1280]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1278,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13655_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16830,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1278]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1276,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13656_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16826,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1276]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16827,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Otimes(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16826]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1274,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13657_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16822,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1274]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16823,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16822]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1272,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13658_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16818,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1272]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16819,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16818]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1270,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13659_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16814,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1270]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16815,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Oplus(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16814]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1268,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13660_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16810,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1268]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16811,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16810]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1266,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13661_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16806,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1266]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16807,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16806]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1264,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13662_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16802,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1264]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1262,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13663_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16798,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1262]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1260,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13664_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16794,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1260]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16795,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16794]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1258,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13665_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16790,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1258]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1256,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13666_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16786,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1256]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1254,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13667_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16782,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1254]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1252,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13668_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16778,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1252]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1250,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13669_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16774,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1250]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1248,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13670_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16770,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1248]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1246,plain,
% 171.38/171.67 ( class_Ring__and__Field_Oring__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13671_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16766,plain,
% 171.38/171.67 ( class_Ring__and__Field_Oring__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1246]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1244,plain,
% 171.38/171.67 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13672_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16762,plain,
% 171.38/171.67 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1244]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1242,plain,
% 171.38/171.67 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13673_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16758,plain,
% 171.38/171.67 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1242]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1240,plain,
% 171.38/171.67 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13674_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16754,plain,
% 171.38/171.67 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1240]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1238,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13675_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16750,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1238]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1236,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13676_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16746,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1236]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1234,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13677_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16742,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1234]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1232,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13678_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16738,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1232]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1230,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13679_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16734,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1230]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1228,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13680_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16730,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1228]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16731,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16730]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1226,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13681_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16726,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1226]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1224,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13682_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16722,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1224]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16723,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16722]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1222,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13683_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16718,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1222]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1220,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13684_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16714,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1220]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16715,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ozero(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16714]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1218,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13685_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16710,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1218]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1216,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13686_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16706,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1216]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1214,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13687_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16702,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1214]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16703,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16702]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1212,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13688_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16698,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1212]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1210,plain,
% 171.38/171.67 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13689_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16694,plain,
% 171.38/171.67 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1210]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1208,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13690_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16690,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1208]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1206,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13691_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16686,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1206]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16687,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16686]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1204,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13692_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16682,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1204]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16683,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16682]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1202,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13693_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16678,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1202]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1200,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13694_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16674,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1200]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16675,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Otimes(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16674]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1198,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13695_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16670,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1198]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16671,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16670]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1196,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13696_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16666,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1196]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1194,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13697_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16662,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1194]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1192,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13698_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16658,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1192]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16659,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16658]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1190,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13699_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16654,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1190]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1188,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13700_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16650,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1188]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1186,plain,
% 171.38/171.67 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13701_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16646,plain,
% 171.38/171.67 ( class_Ring__and__Field_Oring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1186]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1184,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13702_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16642,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1184]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1182,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13703_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16638,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1182]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1180,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13704_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16634,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1180]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1178,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13705_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16630,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1178]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1176,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13706_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16626,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1176]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16627,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ozero(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16626]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1174,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13707_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16622,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1174]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1172,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13708_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16618,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1172]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1170,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13709_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16614,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1170]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1168,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13710_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16610,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1168]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1166,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13711_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16606,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1166]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1164,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13712_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16602,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1164]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1162,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13713_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16598,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1162]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16599,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0)
% 171.38/171.67 | class_Orderings_Oord(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16598]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1160,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13714_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16594,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1160]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1158,plain,
% 171.38/171.67 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13715_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16590,plain,
% 171.38/171.67 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1158]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1156,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13716_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16586,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1156]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16587,plain,
% 171.38/171.67 ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.67 | class_HOL_Ozero(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16586]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1154,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13717_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16582,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1154]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16583,plain,
% 171.38/171.67 ( ~ class_Power_Orecpower(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16582]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1152,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13718_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16578,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1152]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16579,plain,
% 171.38/171.67 ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16578]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1150,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13719_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16574,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1150]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1148,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13720_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16570,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1148]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16571,plain,
% 171.38/171.67 ( ~ class_Power_Orecpower(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16570]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1146,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13721_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16566,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1146]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1144,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13722_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16562,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1144]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1142,plain,
% 171.38/171.67 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13723_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16558,plain,
% 171.38/171.67 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1142]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1140,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13724_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16554,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1140]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1138,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13725_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16550,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1138]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1136,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13726_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16546,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1136]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1134,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13727_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16542,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1134]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1132,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13728_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16538,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1132]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1130,plain,
% 171.38/171.67 ( class_HOL_Oone(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13729_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16534,plain,
% 171.38/171.67 ( class_HOL_Oone(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1130]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1128,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13730_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16530,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1128]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1126,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13731_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16526,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1126]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1124,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__1(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13732_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16522,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__1(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1124]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1122,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13733_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16518,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1122]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1120,plain,
% 171.38/171.67 ( class_OrderedGroup_Omonoid__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13734_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16514,plain,
% 171.38/171.67 ( class_OrderedGroup_Omonoid__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1120]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1118,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13735_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16510,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1118]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1116,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13736_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16506,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring__0(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1116]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1114,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13737_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16502,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1114]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1112,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13738_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16498,plain,
% 171.38/171.67 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.67 | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1112]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1110,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13739_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16494,plain,
% 171.38/171.67 ( class_Ring__and__Field_Osemiring(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1110]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1108,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13740_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16490,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1108]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1106,plain,
% 171.38/171.67 ( class_Nat_Opower(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13741_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16486,plain,
% 171.38/171.67 ( class_Nat_Opower(X0) | ~ class_Power_Orecpower(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1106]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1104,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13742_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16482,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1104]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16483,plain,
% 171.38/171.67 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oord(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16482]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1102,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13743_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16478,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1102]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1100,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0) | ~ class_Orderings_Olinorder(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13744_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16474,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0) | ~ class_Orderings_Olinorder(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1100]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16475,plain,
% 171.38/171.67 ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oord(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16474]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1098,plain,
% 171.38/171.67 ( class_LOrder_Omeet__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13745_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16470,plain,
% 171.38/171.67 ( class_LOrder_Omeet__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1098]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1096,plain,
% 171.38/171.67 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13746_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16466,plain,
% 171.38/171.67 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1096]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1094,plain,
% 171.38/171.67 ( class_LOrder_Olorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13747_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16462,plain,
% 171.38/171.67 ( class_LOrder_Olorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1094]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1092,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13748_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16458,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1092]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1090,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13749_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16454,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1090]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1088,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13750_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16450,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1088]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1086,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13751_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16446,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1086]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1084,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13752_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16442,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1084]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1082,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13753_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16438,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1082]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16439,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16438]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1080,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13754_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16434,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1080]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16435,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16434]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1078,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13755_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16430,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1078]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16431,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | class_Orderings_Oord(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16430]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1076,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13756_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16426,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1076]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1074,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13757_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16422,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1074]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1072,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13758_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16418,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1072]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1070,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13759_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16414,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1070]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16415,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16414]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1068,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13760_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16410,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1068]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1066,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13761_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16406,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1066]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16407,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16406]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1064,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13762_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16402,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1064]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1062,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13763_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16398,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1062]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16399,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | class_Orderings_Oord(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16398]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1060,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13764_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16394,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1060]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1058,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13765_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16390,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1058]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1056,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13766_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16386,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1056]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1054,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13767_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16382,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1054]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1052,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13768_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16378,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1052]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16379,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16378]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1050,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13769_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16374,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1050]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16375,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16374]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1048,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13770_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16370,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1048]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16371,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | class_Orderings_Oord(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16370]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1046,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13771_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16366,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1046]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1044,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13772_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16362,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1044]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1042,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13773_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16358,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1042]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1040,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13774_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16354,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1040]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16355,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16354]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1038,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13775_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16350,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1038]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1036,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13776_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16346,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1036]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16347,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16346]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1034,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13777_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16342,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1034]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1032,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13778_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16338,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1032]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1030,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13779_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16334,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1030]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1028,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13780_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16330,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1028]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1026,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13781_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16326,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1026]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1024,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13782_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16322,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1024]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16323,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.67 | class_Orderings_Oord(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16322]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1022,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13783_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16318,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1022]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1020,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13784_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16314,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1020]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1018,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13785_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16310,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1018]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1016,plain,
% 171.38/171.67 ( class_Orderings_Olinorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13786_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16306,plain,
% 171.38/171.67 ( class_Orderings_Olinorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1016]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1014,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13787_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16302,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1014]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1012,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13788_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16298,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1012]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16299,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16298]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1010,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13789_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16294,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1010]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1008,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13790_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16290,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1008]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16291,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16290]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1006,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13791_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16286,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1006]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1004,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13792_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16282,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1004]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16283,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | class_Orderings_Oord(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16282]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1002,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13793_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16278,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1002]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_1000,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13794_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16274,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_1000]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_998,plain,
% 171.38/171.67 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13795_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16270,plain,
% 171.38/171.67 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_998]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_996,plain,
% 171.38/171.67 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13796_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16266,plain,
% 171.38/171.67 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_996]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_994,plain,
% 171.38/171.67 ( class_LOrder_Olorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13797_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16262,plain,
% 171.38/171.67 ( class_LOrder_Olorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_994]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_992,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13798_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16258,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_992]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_990,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13799_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16254,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_990]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_988,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13800_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16250,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_988]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16251,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Otimes(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16250]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_986,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13801_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16246,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_986]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16247,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16246]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_984,plain,
% 171.38/171.67 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13802_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16242,plain,
% 171.38/171.67 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_984]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_982,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13803_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16238,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_982]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_980,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13804_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16234,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_980]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_978,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13805_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16230,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_978]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_976,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13806_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16226,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_976]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_974,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13807_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16222,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_974]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_972,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13808_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16218,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_972]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_970,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13809_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16214,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_970]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_968,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13810_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16210,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_968]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_966,plain,
% 171.38/171.67 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13811_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16206,plain,
% 171.38/171.67 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_966]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_964,plain,
% 171.38/171.67 ( class_LOrder_Olorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13812_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16202,plain,
% 171.38/171.67 ( class_LOrder_Olorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_964]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_962,plain,
% 171.38/171.67 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13813_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16198,plain,
% 171.38/171.67 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_962]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_960,plain,
% 171.38/171.67 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13814_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16194,plain,
% 171.38/171.67 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_960]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_958,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13815_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16190,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_958]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_956,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13816_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16186,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_956]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16187,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16186]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_954,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13817_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16182,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_954]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_952,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13818_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16178,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_952]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16179,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16178]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_950,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13819_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16174,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_950]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_948,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13820_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16170,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_948]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_946,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13821_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16166,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_946]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_944,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13822_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16162,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_944]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_942,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13823_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16158,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_942]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_940,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13824_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16154,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_940]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_938,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13825_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16150,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_938]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_936,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13826_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16146,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_936]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_934,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13827_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16142,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_934]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_932,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13828_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16138,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_932]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_930,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13829_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16134,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_930]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_928,plain,
% 171.38/171.67 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13830_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16130,plain,
% 171.38/171.67 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_928]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_926,plain,
% 171.38/171.67 ( class_LOrder_Olorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13831_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16126,plain,
% 171.38/171.67 ( class_LOrder_Olorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_926]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_924,plain,
% 171.38/171.67 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13832_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16122,plain,
% 171.38/171.67 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_924]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_922,plain,
% 171.38/171.67 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13833_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16118,plain,
% 171.38/171.67 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_922]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_920,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13834_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16114,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_920]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_918,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13835_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16110,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_918]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16111,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16110]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_916,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13836_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16106,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_916]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_914,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13837_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16102,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_914]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16103,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16102]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_912,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13838_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16098,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_912]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_910,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13839_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16094,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_910]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_908,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13840_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16090,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_908]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_906,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13841_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16086,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_906]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_904,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13842_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16082,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_904]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_902,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13843_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16078,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_902]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_900,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13844_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16074,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_900]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_898,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13845_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16070,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_898]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_896,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13846_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16066,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_896]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_894,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13847_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16062,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_894]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_892,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13848_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16058,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_892]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_890,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13849_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16054,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_890]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_888,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13850_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16050,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_888]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_886,plain,
% 171.38/171.67 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13851_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16046,plain,
% 171.38/171.67 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_886]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_884,plain,
% 171.38/171.67 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13852_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16042,plain,
% 171.38/171.67 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_884]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_882,plain,
% 171.38/171.67 ( class_LOrder_Olorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13853_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16038,plain,
% 171.38/171.67 ( class_LOrder_Olorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_882]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_880,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13854_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16034,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_880]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_878,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13855_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16030,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_878]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16031,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16030]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_876,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13856_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16026,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_876]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_874,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13857_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16022,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_874]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16023,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16022]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_872,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13858_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16018,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_872]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_870,plain,
% 171.38/171.67 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13859_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16014,plain,
% 171.38/171.67 ( class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_870]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_868,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13860_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16010,plain,
% 171.38/171.67 ( class_Orderings_Oord(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_868]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16011,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.67 | class_Orderings_Oord(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_16010]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_866,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13861_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16006,plain,
% 171.38/171.67 ( class_Orderings_Oorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_866]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_864,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13862_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_16002,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_864]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_862,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13863_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15998,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_862]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_860,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13864_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15994,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_860]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_858,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13865_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15990,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_858]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_856,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13866_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15986,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_856]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_854,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13867_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15982,plain,
% 171.38/171.67 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_854]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_852,plain,
% 171.38/171.67 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13868_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15978,plain,
% 171.38/171.67 ( class_LOrder_Omeet__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_852]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_850,plain,
% 171.38/171.67 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13869_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15974,plain,
% 171.38/171.67 ( class_LOrder_Ojoin__semilorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_850]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_848,plain,
% 171.38/171.67 ( class_LOrder_Olorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13870_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15970,plain,
% 171.38/171.67 ( class_LOrder_Olorder(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_848]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_846,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13871_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15966,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_846]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_844,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13872_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15962,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_844]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15963,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_15962]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_842,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13873_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15958,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_842]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_840,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13874_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15954,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_840]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15955,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_15954]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_838,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13875_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15950,plain,
% 171.38/171.67 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_838]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_836,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13876_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15946,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_836]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_834,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13877_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15942,plain,
% 171.38/171.67 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_834]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_832,plain,
% 171.38/171.67 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13878_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15938,plain,
% 171.38/171.67 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_832]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_830,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13879_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15934,plain,
% 171.38/171.67 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_830]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15935,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Otimes(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_15934]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_828,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13880_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15930,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_828]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15931,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_15930]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_826,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13881_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15926,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_826]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15927,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_15926]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_824,plain,
% 171.38/171.67 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13882_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15922,plain,
% 171.38/171.67 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_824]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_822,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13883_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15918,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_822]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15919,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Oplus(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_15918]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_820,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13884_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15914,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_820]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15915,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_15914]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_818,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13885_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15910,plain,
% 171.38/171.67 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_818]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15911,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.67 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_15910]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_816,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13886_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15906,plain,
% 171.38/171.67 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_816]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15907,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Ozero(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_15906]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_814,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13887_1) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15902,plain,
% 171.38/171.67 ( class_HOL_Oplus(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 171.38/171.67 inference(copy,[status(esa)],[c_814]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_15903,plain,
% 171.38/171.67 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.67 | class_HOL_Oplus(X0) ),
% 171.38/171.67 inference(rewriting,[status(thm)],[c_15902]) ).
% 171.38/171.67
% 171.38/171.67 cnf(c_812,plain,
% 171.38/171.67 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.67 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 171.38/171.67 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13888_1) ).
% 171.38/171.67
% 171.38/171.68 cnf(c_15898,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_812]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15899,plain,
% 171.38/171.68 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.68 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15898]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_810,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13889_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15894,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_810]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_808,plain,
% 171.38/171.68 ( class_HOL_Oplus(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13890_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15890,plain,
% 171.38/171.68 ( class_HOL_Oplus(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_808]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15891,plain,
% 171.38/171.68 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.68 | class_HOL_Oplus(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15890]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_806,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13891_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15886,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_806]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15887,plain,
% 171.38/171.68 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.68 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15886]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_804,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13892_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15882,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_804]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15883,plain,
% 171.38/171.68 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.68 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15882]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_802,plain,
% 171.38/171.68 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13893_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15878,plain,
% 171.38/171.68 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_802]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_800,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13894_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15874,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_800]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_798,plain,
% 171.38/171.68 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13895_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15870,plain,
% 171.38/171.68 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_798]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_796,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13896_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15866,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_796]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_794,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13897_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15862,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_794]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_792,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13898_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15858,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_792]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_790,plain,
% 171.38/171.68 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13899_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15854,plain,
% 171.38/171.68 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_790]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15855,plain,
% 171.38/171.68 ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Oplus(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15854]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_788,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13900_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15850,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_788]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15851,plain,
% 171.38/171.68 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.68 | class_OrderedGroup_Osemigroup__add(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15850]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_786,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13901_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15846,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_786]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15847,plain,
% 171.38/171.68 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.68 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15846]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_784,plain,
% 171.38/171.68 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13902_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15842,plain,
% 171.38/171.68 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_784]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15843,plain,
% 171.38/171.68 ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ozero(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15842]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_782,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13903_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15838,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.68 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_782]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_780,plain,
% 171.38/171.68 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13904_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15834,plain,
% 171.38/171.68 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_780]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_778,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13905_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15830,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_778]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_776,plain,
% 171.38/171.68 ( class_HOL_Ozero(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13906_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15826,plain,
% 171.38/171.68 ( class_HOL_Ozero(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_776]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_774,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13907_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15822,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_774]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_772,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13908_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15818,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_772]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_770,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13909_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15814,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_770]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15815,plain,
% 171.38/171.68 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.68 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15814]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_768,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13910_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15810,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__mult(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_768]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15811,plain,
% 171.38/171.68 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.68 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15810]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_766,plain,
% 171.38/171.68 ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13911_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15806,plain,
% 171.38/171.68 ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_766]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_764,plain,
% 171.38/171.68 ( class_HOL_Otimes(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13912_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15802,plain,
% 171.38/171.68 ( class_HOL_Otimes(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_764]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_762,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13913_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15798,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_762]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_760,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13914_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15794,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_760]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_758,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oring__1(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13915_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15790,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oring__1(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_758]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_756,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13916_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15786,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_756]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_754,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13917_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15782,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_754]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_752,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13918_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15778,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__1(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_752]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_750,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13919_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15774,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_750]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_748,plain,
% 171.38/171.68 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13920_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15770,plain,
% 171.38/171.68 ( class_OrderedGroup_Omonoid__mult(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_748]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_746,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13921_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15766,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_746]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_744,plain,
% 171.38/171.68 ( class_HOL_Oone(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13922_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15762,plain,
% 171.38/171.68 ( class_HOL_Oone(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_744]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_742,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13923_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15758,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_742]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15759,plain,
% 171.38/171.68 ( ~ class_Numeral_Onumber__ring(X0)
% 171.38/171.68 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15758]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_740,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13924_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15754,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__ring(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_740]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_738,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13925_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15750,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_738]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_736,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13926_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15746,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_736]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_734,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13927_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15742,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_734]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_732,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13928_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15738,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__group__add(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_732]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_730,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13929_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15734,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_730]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_728,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13930_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15730,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_728]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_726,plain,
% 171.38/171.68 ( class_HOL_Ominus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13931_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15726,plain,
% 171.38/171.68 ( class_HOL_Ominus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_726]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_724,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13932_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15722,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_724]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_722,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13933_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15718,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__0(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_722]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_720,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13934_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15714,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(X0)
% 171.38/171.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_720]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_718,plain,
% 171.38/171.68 ( class_HOL_Oplus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13935_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15710,plain,
% 171.38/171.68 ( class_HOL_Oplus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_718]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_716,plain,
% 171.38/171.68 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13936_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15706,plain,
% 171.38/171.68 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_716]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_714,plain,
% 171.38/171.68 ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13937_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15702,plain,
% 171.38/171.68 ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_714]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15703,plain,
% 171.38/171.68 ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oord(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15702]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_712,plain,
% 171.38/171.68 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13938_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15698,plain,
% 171.38/171.68 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_712]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_710,plain,
% 171.38/171.68 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13939_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15694,plain,
% 171.38/171.68 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_710]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_708,plain,
% 171.38/171.68 ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13940_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15690,plain,
% 171.38/171.68 ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_708]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15691,plain,
% 171.38/171.68 ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oord(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15690]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_706,plain,
% 171.38/171.68 ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13941_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15686,plain,
% 171.38/171.68 ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_706]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_704,plain,
% 171.38/171.68 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13942_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15682,plain,
% 171.38/171.68 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_704]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_702,plain,
% 171.38/171.68 ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13943_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15678,plain,
% 171.38/171.68 ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_702]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15679,plain,
% 171.38/171.68 ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oord(X0) ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15678]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_700,plain,
% 171.38/171.68 ( X0 = c_0 | c_IntDef_Oint(X0) != c_0 ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13982_1) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15674,plain,
% 171.38/171.68 ( X0 = c_0 | c_IntDef_Oint(X0) != c_0 ),
% 171.38/171.68 inference(copy,[status(esa)],[c_700]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15675,plain,
% 171.38/171.68 ( c_IntDef_Oint(X0) != c_0 | X0 = c_0 ),
% 171.38/171.68 inference(rewriting,[status(thm)],[c_15674]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_695,plain,
% 171.38/171.68 ( ~ 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))) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11447_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15664,plain,
% 171.38/171.68 ( ~ 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))) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_695]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_694,plain,
% 171.38/171.68 ( ~ 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))) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11448_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15662,plain,
% 171.38/171.68 ( ~ 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))) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_694]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_693,plain,
% 171.38/171.68 ( ~ 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))) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11449_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15660,plain,
% 171.38/171.68 ( ~ 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))) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_693]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_692,plain,
% 171.38/171.68 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11608_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15658,plain,
% 171.38/171.68 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_692]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_691,plain,
% 171.38/171.68 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11609_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15656,plain,
% 171.38/171.68 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_691]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_690,plain,
% 171.38/171.68 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11610_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15654,plain,
% 171.38/171.68 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_690]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_689,plain,
% 171.38/171.68 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11611_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15652,plain,
% 171.38/171.68 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_689]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_688,plain,
% 171.38/171.68 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11612_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15650,plain,
% 171.38/171.68 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_688]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_687,plain,
% 171.38/171.68 ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11613_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15648,plain,
% 171.38/171.68 ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_687]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_686,plain,
% 171.38/171.68 ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12010_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15646,plain,
% 171.38/171.68 ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_686]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_685,plain,
% 171.38/171.68 ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12011_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15644,plain,
% 171.38/171.68 ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_685]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_684,plain,
% 171.38/171.68 ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12218_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15642,plain,
% 171.38/171.68 ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_684]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_683,plain,
% 171.38/171.68 ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12277_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15640,plain,
% 171.38/171.68 ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_683]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_682,plain,
% 171.38/171.68 ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12316_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15638,plain,
% 171.38/171.68 ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_682]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_681,plain,
% 171.38/171.68 ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12317_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15636,plain,
% 171.38/171.68 ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_681]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_680,plain,
% 171.38/171.68 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12318_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15634,plain,
% 171.38/171.68 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_680]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_679,plain,
% 171.38/171.68 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12319_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15632,plain,
% 171.38/171.68 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_679]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_678,plain,
% 171.38/171.68 ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12320_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15630,plain,
% 171.38/171.68 ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_678]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_677,plain,
% 171.38/171.68 ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12321_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15628,plain,
% 171.38/171.68 ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_677]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_676,plain,
% 171.38/171.68 ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12433_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15626,plain,
% 171.38/171.68 ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_676]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_675,plain,
% 171.38/171.68 ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12478_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15624,plain,
% 171.38/171.68 ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_675]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_674,plain,
% 171.38/171.68 ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12602_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15622,plain,
% 171.38/171.68 ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_674]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_673,plain,
% 171.38/171.68 ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12613_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15620,plain,
% 171.38/171.68 ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_673]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_670,plain,
% 171.38/171.68 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12645_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15614,plain,
% 171.38/171.68 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 171.38/171.68 inference(copy,[status(esa)],[c_670]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_668,plain,
% 171.38/171.68 ( c_insert(X0,X1,X2) != c_emptyset ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12653_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15610,plain,
% 171.38/171.68 ( c_insert(X0,X1,X2) != c_emptyset ),
% 171.38/171.68 inference(copy,[status(esa)],[c_668]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_666,plain,
% 171.38/171.68 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12655_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15606,plain,
% 171.38/171.68 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 171.38/171.68 inference(copy,[status(esa)],[c_666]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_665,plain,
% 171.38/171.68 ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12656_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15604,plain,
% 171.38/171.68 ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_665]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_664,plain,
% 171.38/171.68 ( ~ c_in(X0,c_emptyset,X1) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12664_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15602,plain,
% 171.38/171.68 ( ~ c_in(X0,c_emptyset,X1) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_664]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_663,plain,
% 171.38/171.68 ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12665_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15600,plain,
% 171.38/171.68 ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_663]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_662,plain,
% 171.38/171.68 ( ~ c_less(X0,X0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12666_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15598,plain,
% 171.38/171.68 ( ~ c_less(X0,X0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_662]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_661,plain,
% 171.38/171.68 ( ~ c_less(X0,c_0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12681_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15596,plain,
% 171.38/171.68 ( ~ c_less(X0,c_0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_661]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_660,plain,
% 171.38/171.68 ( ~ c_less(c_0,c_0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12686_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15594,plain,
% 171.38/171.68 ( ~ c_less(c_0,c_0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_660]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_659,plain,
% 171.38/171.68 ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12939_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15592,plain,
% 171.38/171.68 ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_659]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_657,plain,
% 171.38/171.68 ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12956_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15588,plain,
% 171.38/171.68 ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 171.38/171.68 inference(copy,[status(esa)],[c_657]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_656,plain,
% 171.38/171.68 ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12983_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15586,plain,
% 171.38/171.68 ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_656]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_654,plain,
% 171.38/171.68 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OSpy ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13986_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15582,plain,
% 171.38/171.68 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OSpy ),
% 171.38/171.68 inference(copy,[status(esa)],[c_654]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_652,plain,
% 171.38/171.68 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OServer ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13988_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15578,plain,
% 171.38/171.68 ( c_Message_Oagent_OFriend(X0) != c_Message_Oagent_OServer ),
% 171.38/171.68 inference(copy,[status(esa)],[c_652]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_650,plain,
% 171.38/171.68 ( c_Suc(X0) != c_0 ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13990_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15574,plain,
% 171.38/171.68 ( c_Suc(X0) != c_0 ),
% 171.38/171.68 inference(copy,[status(esa)],[c_650]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_648,plain,
% 171.38/171.68 ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14118_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15570,plain,
% 171.38/171.68 ( c_Message_Oagent_OSpy != c_Message_Oagent_OServer ),
% 171.38/171.68 inference(copy,[status(esa)],[c_648]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_647,plain,
% 171.38/171.68 ( c_UNIV != c_emptyset ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14119_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15568,plain,
% 171.38/171.68 ( c_UNIV != c_emptyset ),
% 171.38/171.68 inference(copy,[status(esa)],[c_647]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_645,plain,
% 171.38/171.68 ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14121_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15564,plain,
% 171.38/171.68 ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 171.38/171.68 inference(copy,[status(esa)],[c_645]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_644,plain,
% 171.38/171.68 ( c_1 != c_0 ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14122_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15562,plain,( c_1 != c_0 ),inference(copy,[status(esa)],[c_644]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_642,plain,
% 171.38/171.68 ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14124_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15558,plain,
% 171.38/171.68 ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 171.38/171.68 inference(copy,[status(esa)],[c_642]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_609,plain,
% 171.38/171.68 ( 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))) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11370_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15524,plain,
% 171.38/171.68 ( 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))) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_609]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_596,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11439_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15510,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_596]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_595,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11440_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15508,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_595]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_589,plain,
% 171.38/171.68 ( 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))) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11468_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15501,plain,
% 171.38/171.68 ( 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))) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_589]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_580,plain,
% 171.38/171.68 ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11528_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15491,plain,
% 171.38/171.68 ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_580]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_577,plain,
% 171.38/171.68 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_11540_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15487,plain,
% 171.38/171.68 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_577]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_466,plain,
% 171.38/171.68 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12182_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15375,plain,
% 171.38/171.68 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_466]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_465,plain,
% 171.38/171.68 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12191_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15373,plain,
% 171.38/171.68 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_465]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_451,plain,
% 171.38/171.68 ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12257_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15358,plain,
% 171.38/171.68 ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_451]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_432,plain,
% 171.38/171.68 ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12368_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15338,plain,
% 171.38/171.68 ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_432]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_431,plain,
% 171.38/171.68 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12369_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15336,plain,
% 171.38/171.68 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_431]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_429,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12373_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15333,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_429]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_428,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12374_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15331,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_428]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_427,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12375_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15329,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_427]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_426,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12376_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15327,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_426]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_425,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12377_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15325,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_425]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_424,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12378_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15323,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_424]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_423,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12379_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15321,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_423]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_422,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12380_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15319,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_422]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_421,plain,
% 171.38/171.68 ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12389_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15317,plain,
% 171.38/171.68 ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_421]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_420,plain,
% 171.38/171.68 ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12394_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15315,plain,
% 171.38/171.68 ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_420]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_413,plain,
% 171.38/171.68 ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12401_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15307,plain,
% 171.38/171.68 ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_413]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_412,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12402_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15305,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_412]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_411,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12403_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15303,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_411]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_410,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12404_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15301,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_410]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_409,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12405_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15299,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_409]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_407,plain,
% 171.38/171.68 ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12423_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15296,plain,
% 171.38/171.68 ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_407]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_395,plain,
% 171.38/171.68 ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12496_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15283,plain,
% 171.38/171.68 ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_395]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_379,plain,
% 171.38/171.68 ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12534_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15266,plain,
% 171.38/171.68 ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_379]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_370,plain,
% 171.38/171.68 ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12568_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15256,plain,
% 171.38/171.68 ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_370]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_369,plain,
% 171.38/171.68 ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12569_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15254,plain,
% 171.38/171.68 ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_369]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_364,plain,
% 171.38/171.68 ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12598_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15248,plain,
% 171.38/171.68 ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_364]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_359,plain,
% 171.38/171.68 ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12661_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15242,plain,
% 171.38/171.68 ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_359]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_358,plain,
% 171.38/171.68 ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12662_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15240,plain,
% 171.38/171.68 ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_358]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_353,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12684_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15234,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_353]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_352,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12685_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15232,plain,
% 171.38/171.68 ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_352]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_348,plain,
% 171.38/171.68 ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12698_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15227,plain,
% 171.38/171.68 ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_348]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_347,plain,
% 171.38/171.68 ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12699_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15225,plain,
% 171.38/171.68 ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_347]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_341,plain,
% 171.38/171.68 ( c_in(c_Message_Omsg_ONumber(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12727_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15218,plain,
% 171.38/171.68 ( c_in(c_Message_Omsg_ONumber(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_341]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_340,plain,
% 171.38/171.68 ( c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12728_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15216,plain,
% 171.38/171.68 ( c_in(c_Message_Omsg_OAgent(X0),c_Message_Osynth(X1),tc_Message_Omsg) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_340]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_337,plain,
% 171.38/171.68 ( c_lessequals(X0,X0,tc_set(X1)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12752_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15212,plain,
% 171.38/171.68 ( c_lessequals(X0,X0,tc_set(X1)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_337]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_335,plain,
% 171.38/171.68 ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12760_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15209,plain,
% 171.38/171.68 ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_335]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_330,plain,
% 171.38/171.68 ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12765_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15202,plain,
% 171.38/171.68 ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_330]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_329,plain,
% 171.38/171.68 ( c_less(X0,c_Suc(X0),tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12766_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15200,plain,
% 171.38/171.68 ( c_less(X0,c_Suc(X0),tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_329]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_328,plain,
% 171.38/171.68 ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12774_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15198,plain,
% 171.38/171.68 ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_328]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_326,plain,
% 171.38/171.68 ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12776_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15195,plain,
% 171.38/171.68 ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_326]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_325,plain,
% 171.38/171.68 ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12777_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15193,plain,
% 171.38/171.68 ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_325]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_324,plain,
% 171.38/171.68 ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12778_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15191,plain,
% 171.38/171.68 ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_324]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_279,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12836_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15142,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_279]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_275,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12840_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15137,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_275]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_274,plain,
% 171.38/171.68 ( c_in(X0,c_UNIV,X1) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12841_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15135,plain,
% 171.38/171.68 ( c_in(X0,c_UNIV,X1) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_274]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_246,plain,
% 171.38/171.68 ( c_lessequals(c_0,X0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12869_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15106,plain,
% 171.38/171.68 ( c_lessequals(c_0,X0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_246]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_245,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12870_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15104,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_245]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_244,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12871_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15102,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_244]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_243,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12872_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15100,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_243]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_242,plain,
% 171.38/171.68 ( c_less(c_0,c_1,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12878_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15098,plain,
% 171.38/171.68 ( c_less(c_0,c_1,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_242]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_241,plain,
% 171.38/171.68 ( c_lessequals(c_0,c_0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12879_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15096,plain,
% 171.38/171.68 ( c_lessequals(c_0,c_0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_241]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_239,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12881_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15093,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_239]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_238,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12882_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15091,plain,
% 171.38/171.68 ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_238]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_230,plain,
% 171.38/171.68 ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12907_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15082,plain,
% 171.38/171.68 ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_230]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_224,plain,
% 171.38/171.68 ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12913_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15075,plain,
% 171.38/171.68 ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_224]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_220,plain,
% 171.38/171.68 ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_12938_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15070,plain,
% 171.38/171.68 ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_220]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_173,plain,
% 171.38/171.68 ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13027_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15022,plain,
% 171.38/171.68 ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_173]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_171,plain,
% 171.38/171.68 ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13029_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15019,plain,
% 171.38/171.68 ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_171]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_164,plain,
% 171.38/171.68 ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13036_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15011,plain,
% 171.38/171.68 ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_164]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_158,plain,
% 171.38/171.68 ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13949_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15004,plain,
% 171.38/171.68 ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_158]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_157,plain,
% 171.38/171.68 ( c_Parity_Oeven(c_0,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13950_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15002,plain,
% 171.38/171.68 ( c_Parity_Oeven(c_0,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_157]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_131,plain,
% 171.38/171.68 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13976_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14975,plain,
% 171.38/171.68 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_131]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_130,plain,
% 171.38/171.68 ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13977_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14973,plain,
% 171.38/171.68 ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_130]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_129,plain,
% 171.38/171.68 ( class_Nat_Opower(tc_set(X0)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13978_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14971,plain,
% 171.38/171.68 ( class_Nat_Opower(tc_set(X0)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_129]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_128,plain,
% 171.38/171.68 ( class_Orderings_Oorder(tc_set(X0)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13979_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14969,plain,
% 171.38/171.68 ( class_Orderings_Oorder(tc_set(X0)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_128]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_127,plain,
% 171.38/171.68 ( class_Orderings_Oord(tc_set(X0)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13980_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14967,plain,
% 171.38/171.68 ( class_Orderings_Oord(tc_set(X0)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_127]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_126,plain,
% 171.38/171.68 ( class_HOL_Ominus(tc_set(X0)) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_13981_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14965,plain,
% 171.38/171.68 ( class_HOL_Ominus(tc_set(X0)) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_126]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_114,plain,
% 171.38/171.68 ( class_HOL_Ominus(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14002_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14952,plain,
% 171.38/171.68 ( class_HOL_Ominus(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_114]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_113,plain,
% 171.38/171.68 ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14003_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14950,plain,
% 171.38/171.68 ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_113]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_112,plain,
% 171.38/171.68 ( class_Orderings_Olinorder(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14004_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14948,plain,
% 171.38/171.68 ( class_Orderings_Olinorder(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_112]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_111,plain,
% 171.38/171.68 ( class_LOrder_Olorder(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14005_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14946,plain,
% 171.38/171.68 ( class_LOrder_Olorder(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_111]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_110,plain,
% 171.38/171.68 ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14006_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14944,plain,
% 171.38/171.68 ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_110]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_109,plain,
% 171.38/171.68 ( class_Parity_Oeven__odd(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14007_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14942,plain,
% 171.38/171.68 ( class_Parity_Oeven__odd(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_109]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_108,plain,
% 171.38/171.68 ( class_Numeral_Onumber(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14008_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14940,plain,
% 171.38/171.68 ( class_Numeral_Onumber(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_108]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_107,plain,
% 171.38/171.68 ( class_Power_Orecpower(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14009_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14938,plain,
% 171.38/171.68 ( class_Power_Orecpower(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_107]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_106,plain,
% 171.38/171.68 ( class_Divides_Odiv(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14010_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14936,plain,
% 171.38/171.68 ( class_Divides_Odiv(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_106]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_105,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14011_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14934,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_105]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_104,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14012_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14932,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_104]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_103,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14013_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14930,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_103]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_102,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14014_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14928,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_102]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_101,plain,
% 171.38/171.68 ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14015_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14926,plain,
% 171.38/171.68 ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_101]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_100,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14016_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14924,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_100]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_99,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14017_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14922,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_99]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_98,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14018_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14920,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_98]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_97,plain,
% 171.38/171.68 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14019_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14918,plain,
% 171.38/171.68 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_97]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_96,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14020_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14916,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_96]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_95,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14021_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14914,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_95]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_94,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14022_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14912,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_94]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_93,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14023_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14910,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_93]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_92,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14024_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14908,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_92]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_91,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14025_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14906,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_91]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_90,plain,
% 171.38/171.68 ( class_Orderings_Oorder(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14026_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14904,plain,
% 171.38/171.68 ( class_Orderings_Oorder(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_90]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_89,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14027_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14902,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_89]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_88,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14028_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14900,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_88]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_87,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14029_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14898,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_87]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_86,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14030_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14896,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_86]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_85,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14031_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14894,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_85]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_84,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14032_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14892,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_84]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_83,plain,
% 171.38/171.68 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14033_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14890,plain,
% 171.38/171.68 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_83]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_82,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14034_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14888,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_82]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_81,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14035_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14886,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_81]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_80,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14036_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14884,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_80]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_79,plain,
% 171.38/171.68 ( class_Orderings_Oord(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14037_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14882,plain,
% 171.38/171.68 ( class_Orderings_Oord(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_79]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_78,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14038_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14880,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_78]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_77,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14039_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14878,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_77]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_76,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14040_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14876,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_76]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_75,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14041_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14874,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_75]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_74,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14042_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14872,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_74]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_73,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14043_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14870,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_73]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_72,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14044_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14868,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_72]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_71,plain,
% 171.38/171.68 ( class_Nat_Opower(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14045_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14866,plain,
% 171.38/171.68 ( class_Nat_Opower(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_71]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_70,plain,
% 171.38/171.68 ( class_HOL_Otimes(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14046_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14864,plain,
% 171.38/171.68 ( class_HOL_Otimes(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_70]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_69,plain,
% 171.38/171.68 ( class_HOL_Oplus(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14047_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14862,plain,
% 171.38/171.68 ( class_HOL_Oplus(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_69]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_68,plain,
% 171.38/171.68 ( class_HOL_Ozero(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14048_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14860,plain,
% 171.38/171.68 ( class_HOL_Ozero(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_68]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_67,plain,
% 171.38/171.68 ( class_HOL_Oone(tc_nat) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14049_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14858,plain,
% 171.38/171.68 ( class_HOL_Oone(tc_nat) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_67]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_66,plain,
% 171.38/171.68 ( class_Finite__Set_Ofinite(tc_bool) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14050_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14856,plain,
% 171.38/171.68 ( class_Finite__Set_Ofinite(tc_bool) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_66]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_65,plain,
% 171.38/171.68 ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14051_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14854,plain,
% 171.38/171.68 ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_65]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_64,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14052_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14852,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_64]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_63,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14053_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14850,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_63]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_62,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14054_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14848,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_62]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_61,plain,
% 171.38/171.68 ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14055_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14846,plain,
% 171.38/171.68 ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_61]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_60,plain,
% 171.38/171.68 ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14056_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14844,plain,
% 171.38/171.68 ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_60]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_59,plain,
% 171.38/171.68 ( class_Nat_Opower(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14057_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14842,plain,
% 171.38/171.68 ( class_Nat_Opower(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_59]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_58,plain,
% 171.38/171.68 ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14058_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14840,plain,
% 171.38/171.68 ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_58]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_57,plain,
% 171.38/171.68 ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14059_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14838,plain,
% 171.38/171.68 ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_57]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_56,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14060_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14836,plain,
% 171.38/171.68 ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_56]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_55,plain,
% 171.38/171.68 ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14061_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14834,plain,
% 171.38/171.68 ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_55]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_54,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14062_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14832,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_54]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_53,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14063_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14830,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_53]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_52,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14064_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14828,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_52]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_51,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14065_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14826,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_51]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_50,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14066_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14824,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_50]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_49,plain,
% 171.38/171.68 ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14067_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14822,plain,
% 171.38/171.68 ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_49]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_48,plain,
% 171.38/171.68 ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14068_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14820,plain,
% 171.38/171.68 ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_48]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_47,plain,
% 171.38/171.68 ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14069_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14818,plain,
% 171.38/171.68 ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_47]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_46,plain,
% 171.38/171.68 ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14070_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14816,plain,
% 171.38/171.68 ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_46]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_45,plain,
% 171.38/171.68 ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14071_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14814,plain,
% 171.38/171.68 ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_45]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_44,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14072_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14812,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_44]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_43,plain,
% 171.38/171.68 ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14073_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14810,plain,
% 171.38/171.68 ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_43]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_42,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14074_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14808,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_42]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_41,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14075_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14806,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_41]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_40,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14076_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14804,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_40]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_39,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14077_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14802,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_39]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_38,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14078_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14800,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_38]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_37,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14079_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14798,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_37]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_36,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14080_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14796,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_36]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_35,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14081_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14794,plain,
% 171.38/171.68 ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_35]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_34,plain,
% 171.38/171.68 ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14082_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14792,plain,
% 171.38/171.68 ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_34]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_33,plain,
% 171.38/171.68 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14083_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14790,plain,
% 171.38/171.68 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_33]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_32,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14084_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14788,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_32]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_31,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14085_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14786,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_31]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_30,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14086_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14784,plain,
% 171.38/171.68 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_30]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_29,plain,
% 171.38/171.68 ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14087_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14782,plain,
% 171.38/171.68 ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_29]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_28,plain,
% 171.38/171.68 ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14088_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14780,plain,
% 171.38/171.68 ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_28]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_27,plain,
% 171.38/171.68 ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14089_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14778,plain,
% 171.38/171.68 ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_27]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_26,plain,
% 171.38/171.68 ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14090_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14776,plain,
% 171.38/171.68 ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_26]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_25,plain,
% 171.38/171.68 ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14091_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14774,plain,
% 171.38/171.68 ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_25]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_24,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14092_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14772,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_24]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_23,plain,
% 171.38/171.68 ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14093_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14770,plain,
% 171.38/171.68 ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_23]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_22,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14094_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14768,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_22]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_21,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14095_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14766,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_21]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_20,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14096_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14764,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_20]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_19,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14097_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14762,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_19]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_18,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14098_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14760,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_18]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_17,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14099_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14758,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_17]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_16,plain,
% 171.38/171.68 ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14100_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14756,plain,
% 171.38/171.68 ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_16]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_15,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14101_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14754,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_15]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14102_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14752,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_14]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_13,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14103_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14750,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_13]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_12,plain,
% 171.38/171.68 ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14104_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14748,plain,
% 171.38/171.68 ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_12]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_11,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14105_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14746,plain,
% 171.38/171.68 ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_11]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_10,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14106_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14744,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_10]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_9,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14107_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14742,plain,
% 171.38/171.68 ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_9]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_8,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14108_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14740,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_8]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_7,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14109_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14738,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_7]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_6,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14110_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14736,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_6]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_5,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14111_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14734,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_5]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_4,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14112_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14732,plain,
% 171.38/171.68 ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_4]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_3,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14113_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14730,plain,
% 171.38/171.68 ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_3]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_2,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14114_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14728,plain,
% 171.38/171.68 ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_2]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_1,plain,
% 171.38/171.68 ( class_HOL_Oone(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14115_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14726,plain,
% 171.38/171.68 ( class_HOL_Oone(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_1]) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_0,plain,
% 171.38/171.68 ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 171.38/171.68 file('/export/starexec/sandbox/tmp/iprover_modulo_27e139.p', c_0_14116_0) ).
% 171.38/171.68
% 171.38/171.68 cnf(c_14724,plain,
% 171.38/171.68 ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 171.38/171.68 inference(copy,[status(esa)],[c_0]) ).
% 171.38/171.68
% 171.38/171.68
% 171.38/171.68
% 171.38/171.68 % ------ Statistics
% 171.38/171.68
% 171.38/171.68 % ------ General
% 171.38/171.68
% 171.38/171.68 % num_of_input_clauses: 6143
% 171.38/171.68 % num_of_input_neg_conjectures: 1
% 171.38/171.68 % num_of_splits: 0
% 171.38/171.68 % num_of_split_atoms: 0
% 171.38/171.68 % num_of_sem_filtered_clauses: 0
% 171.38/171.68 % num_of_subtypes: 0
% 171.38/171.68 % monotx_restored_types: 0
% 171.38/171.68 % sat_num_of_epr_types: 0
% 171.38/171.68 % sat_num_of_non_cyclic_types: 0
% 171.38/171.68 % sat_guarded_non_collapsed_types: 0
% 171.38/171.68 % is_epr: 0
% 171.38/171.68 % is_horn: 0
% 171.38/171.68 % has_eq: 1
% 171.38/171.68 % num_pure_diseq_elim: 0
% 171.38/171.68 % simp_replaced_by: 0
% 171.38/171.68 % res_preprocessed: 2
% 171.38/171.68 % prep_upred: 0
% 171.38/171.68 % prep_unflattend: 0
% 171.38/171.68 % pred_elim_cands: 0
% 171.38/171.68 % pred_elim: 0
% 171.38/171.68 % pred_elim_cl: 0
% 171.38/171.68 % pred_elim_cycles: 0
% 171.38/171.68 % forced_gc_time: 0
% 171.38/171.68 % gc_basic_clause_elim: 0
% 171.38/171.68 % parsing_time: 0.122
% 171.38/171.68 % sem_filter_time: 0.
% 171.38/171.68 % pred_elim_time: 0.
% 171.38/171.68 % out_proof_time: 0.
% 171.38/171.68 % monotx_time: 0.
% 171.38/171.68 % subtype_inf_time: 0.
% 171.38/171.68 % unif_index_cands_time: 0.
% 171.38/171.68 % unif_index_add_time: 0.004
% 171.38/171.68 % total_time: 20.496
% 171.38/171.68 % num_of_symbols: 361
% 171.38/171.68 % num_of_terms: 10248
% 171.38/171.68
% 171.38/171.68 % ------ Propositional Solver
% 171.38/171.68
% 171.38/171.68 % prop_solver_calls: 1
% 171.38/171.68 % prop_fast_solver_calls: 3
% 171.38/171.68 % prop_num_of_clauses: 6243
% 171.38/171.68 % prop_preprocess_simplified: 17963
% 171.38/171.68 % prop_fo_subsumed: 0
% 171.38/171.68 % prop_solver_time: 0.
% 171.38/171.68 % prop_fast_solver_time: 0.
% 171.38/171.68 % prop_unsat_core_time: 0.
% 171.38/171.68
% 171.38/171.68 % ------ QBF
% 171.38/171.68
% 171.38/171.68 % qbf_q_res: 0
% 171.38/171.68 % qbf_num_tautologies: 0
% 171.38/171.68 % qbf_prep_cycles: 0
% 171.38/171.68
% 171.38/171.68 % ------ BMC1
% 171.38/171.68
% 171.38/171.68 % bmc1_current_bound: -1
% 171.38/171.68 % bmc1_last_solved_bound: -1
% 171.38/171.68 % bmc1_unsat_core_size: -1
% 171.38/171.68 % bmc1_unsat_core_parents_size: -1
% 171.38/171.68 % bmc1_merge_next_fun: 0
% 171.38/171.68 % bmc1_unsat_core_clauses_time: 0.
% 171.38/171.68
% 171.38/171.68 % ------ Instantiation
% 171.38/171.68
% 171.38/171.68 % inst_num_of_clauses: 6014
% 171.38/171.68 % inst_num_in_passive: 0
% 171.38/171.68 % inst_num_in_active: 0
% 171.38/171.68 % inst_num_in_unprocessed: 6143
% 171.38/171.68 % inst_num_of_loops: 0
% 171.38/171.68 % inst_num_of_learning_restarts: 0
% 171.38/171.68 % inst_num_moves_active_passive: 0
% 171.38/171.68 % inst_lit_activity: 0
% 171.38/171.68 % inst_lit_activity_moves: 0
% 171.38/171.68 % inst_num_tautologies: 0
% 171.38/171.68 % inst_num_prop_implied: 0
% 171.38/171.68 % inst_num_existing_simplified: 0
% 171.38/171.68 % inst_num_eq_res_simplified: 0
% 171.38/171.68 % inst_num_child_elim: 0
% 171.38/171.68 % inst_num_of_dismatching_blockings: 0
% 171.38/171.68 % inst_num_of_non_proper_insts: 0
% 171.38/171.68 % inst_num_of_duplicates: 0
% 171.38/171.68 % inst_inst_num_from_inst_to_res: 0
% 171.38/171.68 % inst_dismatching_checking_time: 0.
% 171.38/171.68
% 171.38/171.68 % ------ Resolution
% 171.38/171.68
% 171.38/171.68 % res_num_of_clauses: 6401
% 171.38/171.68 % res_num_in_passive: 0
% 171.38/171.68 % res_num_in_active: 2408
% 171.38/171.68 % res_num_of_loops: 4
% 171.38/171.68 % res_forward_subset_subsumed: 3287
% 171.38/171.68 % res_backward_subset_subsumed: 0
% 171.38/171.68 % res_forward_subsumed: 0
% 171.38/171.68 % res_backward_subsumed: 0
% 171.38/171.68 % res_forward_subsumption_resolution: 0
% 171.38/171.68 % res_backward_subsumption_resolution: 0
% 171.38/171.68 % res_clause_to_clause_subsumption: 1
% 171.38/171.68 % res_orphan_elimination: 0
% 171.38/171.68 % res_tautology_del: 0
% 171.38/171.68 % res_num_eq_res_simplified: 0
% 171.38/171.68 % res_num_sel_changes: 0
% 171.38/171.68 % res_moves_from_active_to_pass: 0
% 171.38/171.68
% 171.38/171.68 % Status Unknown
% 171.38/171.69 % Last status :
% 171.38/171.69 % SZS status Unknown
%------------------------------------------------------------------------------