TSTP Solution File: COM010-1 by iProverMo---2.5-0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : COM010-1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n013.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 : Fri Jul 15 01:22:45 EDT 2022
% Result : Unknown 170.39s 170.75s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : COM010-1 : TPTP v8.1.0. Released v3.2.0.
% 0.12/0.13 % Command : iprover_modulo %s %d
% 0.13/0.34 % Computer : n013.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 : Thu Jun 16 18:50:59 EDT 2022
% 0.19/0.34 % CPUTime :
% 0.19/0.35 % Running in mono-core mode
% 0.59/0.83 % Orienting using strategy Equiv(ClausalAll)
% 0.59/0.83 % Orientation found
% 0.59/0.83 % 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_f060cd.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_9a03ba | grep -v "SZS"
% 0.59/0.84
% 0.59/0.84 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.59/0.84
% 0.59/0.84 %
% 0.59/0.84 % ------ iProver source info
% 0.59/0.84
% 0.59/0.84 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.59/0.84 % git: non_committed_changes: true
% 0.59/0.84 % git: last_make_outside_of_git: true
% 0.59/0.84
% 0.59/0.84 %
% 0.59/0.84 % ------ Input Options
% 0.59/0.84
% 0.59/0.84 % --out_options all
% 0.59/0.84 % --tptp_safe_out true
% 0.59/0.84 % --problem_path ""
% 0.59/0.84 % --include_path ""
% 0.59/0.84 % --clausifier .//eprover
% 0.59/0.84 % --clausifier_options --tstp-format
% 0.59/0.84 % --stdin false
% 0.59/0.84 % --dbg_backtrace false
% 0.59/0.84 % --dbg_dump_prop_clauses false
% 0.59/0.84 % --dbg_dump_prop_clauses_file -
% 0.59/0.84 % --dbg_out_stat false
% 0.59/0.84
% 0.59/0.84 % ------ General Options
% 0.59/0.84
% 0.59/0.84 % --fof false
% 0.59/0.84 % --time_out_real 150.
% 0.59/0.84 % --time_out_prep_mult 0.2
% 0.59/0.84 % --time_out_virtual -1.
% 0.59/0.84 % --schedule none
% 0.59/0.84 % --ground_splitting input
% 0.59/0.84 % --splitting_nvd 16
% 0.59/0.84 % --non_eq_to_eq false
% 0.59/0.84 % --prep_gs_sim true
% 0.59/0.84 % --prep_unflatten false
% 0.59/0.84 % --prep_res_sim true
% 0.59/0.84 % --prep_upred true
% 0.59/0.84 % --res_sim_input true
% 0.59/0.84 % --clause_weak_htbl true
% 0.59/0.84 % --gc_record_bc_elim false
% 0.59/0.84 % --symbol_type_check false
% 0.59/0.84 % --clausify_out false
% 0.59/0.84 % --large_theory_mode false
% 0.59/0.84 % --prep_sem_filter none
% 0.59/0.84 % --prep_sem_filter_out false
% 0.59/0.84 % --preprocessed_out false
% 0.59/0.84 % --sub_typing false
% 0.59/0.84 % --brand_transform false
% 0.59/0.84 % --pure_diseq_elim true
% 0.59/0.84 % --min_unsat_core false
% 0.59/0.84 % --pred_elim true
% 0.59/0.84 % --add_important_lit false
% 0.59/0.84 % --soft_assumptions false
% 0.59/0.84 % --reset_solvers false
% 0.59/0.84 % --bc_imp_inh []
% 0.59/0.84 % --conj_cone_tolerance 1.5
% 0.59/0.84 % --prolific_symb_bound 500
% 0.59/0.84 % --lt_threshold 2000
% 0.59/0.84
% 0.59/0.84 % ------ SAT Options
% 0.59/0.84
% 0.59/0.84 % --sat_mode false
% 0.59/0.84 % --sat_fm_restart_options ""
% 0.59/0.84 % --sat_gr_def false
% 0.59/0.84 % --sat_epr_types true
% 0.59/0.84 % --sat_non_cyclic_types false
% 0.59/0.84 % --sat_finite_models false
% 0.59/0.84 % --sat_fm_lemmas false
% 0.59/0.84 % --sat_fm_prep false
% 0.59/0.84 % --sat_fm_uc_incr true
% 0.59/0.84 % --sat_out_model small
% 0.59/0.84 % --sat_out_clauses false
% 0.59/0.84
% 0.59/0.84 % ------ QBF Options
% 0.59/0.84
% 0.59/0.84 % --qbf_mode false
% 0.59/0.84 % --qbf_elim_univ true
% 0.59/0.84 % --qbf_sk_in true
% 0.59/0.84 % --qbf_pred_elim true
% 0.59/0.84 % --qbf_split 32
% 0.59/0.84
% 0.59/0.84 % ------ BMC1 Options
% 0.59/0.85
% 0.59/0.85 % --bmc1_incremental false
% 0.59/0.85 % --bmc1_axioms reachable_all
% 0.59/0.85 % --bmc1_min_bound 0
% 0.59/0.85 % --bmc1_max_bound -1
% 0.59/0.85 % --bmc1_max_bound_default -1
% 0.59/0.85 % --bmc1_symbol_reachability true
% 0.59/0.85 % --bmc1_property_lemmas false
% 0.59/0.85 % --bmc1_k_induction false
% 0.59/0.85 % --bmc1_non_equiv_states false
% 0.59/0.85 % --bmc1_deadlock false
% 0.59/0.85 % --bmc1_ucm false
% 0.59/0.85 % --bmc1_add_unsat_core none
% 0.59/0.85 % --bmc1_unsat_core_children false
% 0.59/0.85 % --bmc1_unsat_core_extrapolate_axioms false
% 0.59/0.85 % --bmc1_out_stat full
% 0.59/0.85 % --bmc1_ground_init false
% 0.59/0.85 % --bmc1_pre_inst_next_state false
% 0.59/0.85 % --bmc1_pre_inst_state false
% 0.59/0.85 % --bmc1_pre_inst_reach_state false
% 0.59/0.85 % --bmc1_out_unsat_core false
% 0.59/0.85 % --bmc1_aig_witness_out false
% 0.59/0.85 % --bmc1_verbose false
% 0.59/0.85 % --bmc1_dump_clauses_tptp false
% 8.94/9.28 % --bmc1_dump_unsat_core_tptp false
% 8.94/9.28 % --bmc1_dump_file -
% 8.94/9.28 % --bmc1_ucm_expand_uc_limit 128
% 8.94/9.28 % --bmc1_ucm_n_expand_iterations 6
% 8.94/9.28 % --bmc1_ucm_extend_mode 1
% 8.94/9.28 % --bmc1_ucm_init_mode 2
% 8.94/9.28 % --bmc1_ucm_cone_mode none
% 8.94/9.28 % --bmc1_ucm_reduced_relation_type 0
% 8.94/9.28 % --bmc1_ucm_relax_model 4
% 8.94/9.28 % --bmc1_ucm_full_tr_after_sat true
% 8.94/9.28 % --bmc1_ucm_expand_neg_assumptions false
% 8.94/9.28 % --bmc1_ucm_layered_model none
% 8.94/9.28 % --bmc1_ucm_max_lemma_size 10
% 8.94/9.28
% 8.94/9.28 % ------ AIG Options
% 8.94/9.28
% 8.94/9.28 % --aig_mode false
% 8.94/9.28
% 8.94/9.28 % ------ Instantiation Options
% 8.94/9.28
% 8.94/9.28 % --instantiation_flag true
% 8.94/9.28 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 8.94/9.28 % --inst_solver_per_active 750
% 8.94/9.28 % --inst_solver_calls_frac 0.5
% 8.94/9.28 % --inst_passive_queue_type priority_queues
% 8.94/9.28 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 8.94/9.29 % --inst_passive_queues_freq [25;2]
% 8.94/9.29 % --inst_dismatching true
% 8.94/9.29 % --inst_eager_unprocessed_to_passive true
% 8.94/9.29 % --inst_prop_sim_given true
% 8.94/9.29 % --inst_prop_sim_new false
% 8.94/9.29 % --inst_orphan_elimination true
% 8.94/9.29 % --inst_learning_loop_flag true
% 8.94/9.29 % --inst_learning_start 3000
% 8.94/9.29 % --inst_learning_factor 2
% 8.94/9.29 % --inst_start_prop_sim_after_learn 3
% 8.94/9.29 % --inst_sel_renew solver
% 8.94/9.29 % --inst_lit_activity_flag true
% 8.94/9.29 % --inst_out_proof true
% 8.94/9.29
% 8.94/9.29 % ------ Resolution Options
% 8.94/9.29
% 8.94/9.29 % --resolution_flag true
% 8.94/9.29 % --res_lit_sel kbo_max
% 8.94/9.29 % --res_to_prop_solver none
% 8.94/9.29 % --res_prop_simpl_new false
% 8.94/9.29 % --res_prop_simpl_given false
% 8.94/9.29 % --res_passive_queue_type priority_queues
% 8.94/9.29 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 8.94/9.29 % --res_passive_queues_freq [15;5]
% 8.94/9.29 % --res_forward_subs full
% 8.94/9.29 % --res_backward_subs full
% 8.94/9.29 % --res_forward_subs_resolution true
% 8.94/9.29 % --res_backward_subs_resolution true
% 8.94/9.29 % --res_orphan_elimination false
% 8.94/9.29 % --res_time_limit 1000.
% 8.94/9.29 % --res_out_proof true
% 8.94/9.29 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f060cd.s
% 8.94/9.29 % --modulo true
% 8.94/9.29
% 8.94/9.29 % ------ Combination Options
% 8.94/9.29
% 8.94/9.29 % --comb_res_mult 1000
% 8.94/9.29 % --comb_inst_mult 300
% 8.94/9.29 % ------
% 8.94/9.29
% 8.94/9.29 % ------ Parsing...% successful
% 8.94/9.29
% 8.94/9.29 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 8.94/9.29
% 8.94/9.29 % ------ Proving...
% 8.94/9.29 % ------ Problem Properties
% 8.94/9.29
% 8.94/9.29 %
% 8.94/9.29 % EPR false
% 8.94/9.29 % Horn false
% 8.94/9.29 % Has equality true
% 8.94/9.29
% 8.94/9.29 % % ------ Input Options Time Limit: Unbounded
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% 27.15/27.50 % % ------ Current options:
% 27.15/27.50
% 27.15/27.50 % ------ Input Options
% 27.15/27.50
% 27.15/27.50 % --out_options all
% 27.15/27.50 % --tptp_safe_out true
% 27.15/27.50 % --problem_path ""
% 27.15/27.50 % --include_path ""
% 27.15/27.50 % --clausifier .//eprover
% 27.15/27.50 % --clausifier_options --tstp-format
% 27.15/27.50 % --stdin false
% 27.15/27.50 % --dbg_backtrace false
% 27.15/27.50 % --dbg_dump_prop_clauses false
% 27.15/27.50 % --dbg_dump_prop_clauses_file -
% 27.15/27.50 % --dbg_out_stat false
% 27.15/27.50
% 27.15/27.50 % ------ General Options
% 27.15/27.50
% 27.15/27.50 % --fof false
% 27.15/27.50 % --time_out_real 150.
% 27.15/27.50 % --time_out_prep_mult 0.2
% 27.15/27.50 % --time_out_virtual -1.
% 27.15/27.50 % --schedule none
% 27.15/27.50 % --ground_splitting input
% 27.15/27.50 % --splitting_nvd 16
% 27.15/27.50 % --non_eq_to_eq false
% 27.15/27.50 % --prep_gs_sim true
% 27.15/27.50 % --prep_unflatten false
% 27.15/27.50 % --prep_res_sim true
% 27.15/27.50 % --prep_upred true
% 27.15/27.50 % --res_sim_input true
% 27.15/27.50 % --clause_weak_htbl true
% 27.15/27.50 % --gc_record_bc_elim false
% 27.15/27.50 % --symbol_type_check false
% 27.15/27.50 % --clausify_out false
% 27.15/27.50 % --large_theory_mode false
% 27.15/27.50 % --prep_sem_filter none
% 27.15/27.50 % --prep_sem_filter_out false
% 27.15/27.50 % --preprocessed_out false
% 27.15/27.50 % --sub_typing false
% 27.15/27.50 % --brand_transform false
% 27.15/27.50 % --pure_diseq_elim true
% 27.15/27.50 % --min_unsat_core false
% 27.15/27.50 % --pred_elim true
% 27.15/27.50 % --add_important_lit false
% 27.15/27.50 % --soft_assumptions false
% 27.15/27.50 % --reset_solvers false
% 27.15/27.50 % --bc_imp_inh []
% 27.15/27.50 % --conj_cone_tolerance 1.5
% 27.15/27.50 % --prolific_symb_bound 500
% 27.15/27.50 % --lt_threshold 2000
% 27.15/27.50
% 27.15/27.50 % ------ SAT Options
% 27.15/27.50
% 27.15/27.50 % --sat_mode false
% 27.15/27.50 % --sat_fm_restart_options ""
% 27.15/27.50 % --sat_gr_def false
% 27.15/27.50 % --sat_epr_types true
% 27.15/27.50 % --sat_non_cyclic_types false
% 27.15/27.50 % --sat_finite_models false
% 27.15/27.50 % --sat_fm_lemmas false
% 27.15/27.50 % --sat_fm_prep false
% 27.15/27.50 % --sat_fm_uc_incr true
% 27.15/27.50 % --sat_out_model small
% 27.15/27.50 % --sat_out_clauses false
% 27.15/27.50
% 27.15/27.50 % ------ QBF Options
% 27.15/27.50
% 27.15/27.50 % --qbf_mode false
% 27.15/27.50 % --qbf_elim_univ true
% 27.15/27.50 % --qbf_sk_in true
% 27.15/27.50 % --qbf_pred_elim true
% 27.15/27.50 % --qbf_split 32
% 27.15/27.50
% 27.15/27.50 % ------ BMC1 Options
% 27.15/27.50
% 27.15/27.50 % --bmc1_incremental false
% 27.15/27.50 % --bmc1_axioms reachable_all
% 27.15/27.50 % --bmc1_min_bound 0
% 27.15/27.50 % --bmc1_max_bound -1
% 27.15/27.50 % --bmc1_max_bound_default -1
% 27.15/27.50 % --bmc1_symbol_reachability true
% 27.15/27.50 % --bmc1_property_lemmas false
% 27.15/27.50 % --bmc1_k_induction false
% 27.15/27.50 % --bmc1_non_equiv_states false
% 27.15/27.50 % --bmc1_deadlock false
% 27.15/27.50 % --bmc1_ucm false
% 27.15/27.50 % --bmc1_add_unsat_core none
% 27.15/27.50 % --bmc1_unsat_core_children false
% 27.15/27.50 % --bmc1_unsat_core_extrapolate_axioms false
% 150.45/150.85 % --bmc1_out_stat full
% 150.45/150.85 % --bmc1_ground_init false
% 150.45/150.85 % --bmc1_pre_inst_next_state false
% 150.45/150.85 % --bmc1_pre_inst_state false
% 150.45/150.85 % --bmc1_pre_inst_reach_state false
% 150.45/150.85 % --bmc1_out_unsat_core false
% 150.45/150.85 % --bmc1_aig_witness_out false
% 150.45/150.85 % --bmc1_verbose false
% 150.45/150.85 % --bmc1_dump_clauses_tptp false
% 150.45/150.85 % --bmc1_dump_unsat_core_tptp false
% 150.45/150.85 % --bmc1_dump_file -
% 150.45/150.85 % --bmc1_ucm_expand_uc_limit 128
% 150.45/150.85 % --bmc1_ucm_n_expand_iterations 6
% 150.45/150.85 % --bmc1_ucm_extend_mode 1
% 150.45/150.85 % --bmc1_ucm_init_mode 2
% 150.45/150.85 % --bmc1_ucm_cone_mode none
% 150.45/150.85 % --bmc1_ucm_reduced_relation_type 0
% 150.45/150.85 % --bmc1_ucm_relax_model 4
% 150.45/150.85 % --bmc1_ucm_full_tr_after_sat true
% 150.45/150.85 % --bmc1_ucm_expand_neg_assumptions false
% 150.45/150.85 % --bmc1_ucm_layered_model none
% 150.45/150.85 % --bmc1_ucm_max_lemma_size 10
% 150.45/150.85
% 150.45/150.85 % ------ AIG Options
% 150.45/150.85
% 150.45/150.85 % --aig_mode false
% 150.45/150.85
% 150.45/150.85 % ------ Instantiation Options
% 150.45/150.85
% 150.45/150.85 % --instantiation_flag true
% 150.45/150.85 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 150.45/150.85 % --inst_solver_per_active 750
% 150.45/150.85 % --inst_solver_calls_frac 0.5
% 150.45/150.85 % --inst_passive_queue_type priority_queues
% 150.45/150.85 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 150.45/150.85 % --inst_passive_queues_freq [25;2]
% 150.45/150.85 % --inst_dismatching true
% 150.45/150.85 % --inst_eager_unprocessed_to_passive true
% 150.45/150.85 % --inst_prop_sim_given true
% 150.45/150.85 % --inst_prop_sim_new false
% 150.45/150.85 % --inst_orphan_elimination true
% 150.45/150.85 % --inst_learning_loop_flag true
% 150.45/150.85 % --inst_learning_start 3000
% 150.45/150.85 % --inst_learning_factor 2
% 150.45/150.85 % --inst_start_prop_sim_after_learn 3
% 150.45/150.85 % --inst_sel_renew solver
% 150.45/150.85 % --inst_lit_activity_flag true
% 150.45/150.85 % --inst_out_proof true
% 150.45/150.85
% 150.45/150.85 % ------ Resolution Options
% 150.45/150.85
% 150.45/150.85 % --resolution_flag true
% 150.45/150.85 % --res_lit_sel kbo_max
% 150.45/150.85 % --res_to_prop_solver none
% 150.45/150.85 % --res_prop_simpl_new false
% 150.45/150.85 % --res_prop_simpl_given false
% 150.45/150.85 % --res_passive_queue_type priority_queues
% 150.45/150.85 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 150.45/150.85 % --res_passive_queues_freq [15;5]
% 150.45/150.85 % --res_forward_subs full
% 150.45/150.85 % --res_backward_subs full
% 150.45/150.85 % --res_forward_subs_resolution true
% 150.45/150.85 % --res_backward_subs_resolution true
% 150.45/150.85 % --res_orphan_elimination false
% 150.45/150.85 % --res_time_limit 1000.
% 150.45/150.85 % --res_out_proof true
% 150.45/150.85 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f060cd.s
% 150.45/150.85 % --modulo true
% 150.45/150.85
% 150.45/150.85 % ------ Combination Options
% 150.45/150.85
% 150.45/150.85 % --comb_res_mult 1000
% 150.45/150.85 % --comb_inst_mult 300
% 150.45/150.85 % ------
% 150.45/150.85
% 150.45/150.85
% 150.45/150.85
% 150.45/150.85 % ------ Proving...
% 150.45/150.85 %
% 150.45/150.85
% 150.45/150.85
% 150.45/150.85 % Time Out Real
% 150.45/150.85
% 150.45/150.85 % ------ Statistics
% 150.45/150.85
% 150.45/150.85 % ------ General
% 150.45/150.85
% 150.45/150.85 % num_of_input_clauses: 6001
% 150.45/150.85 % num_of_input_neg_conjectures: 4
% 150.45/150.85 % num_of_splits: 0
% 150.45/150.85 % num_of_split_atoms: 0
% 150.45/150.85 % num_of_sem_filtered_clauses: 0
% 150.45/150.85 % num_of_subtypes: 0
% 150.45/150.85 % monotx_restored_types: 0
% 150.45/150.85 % sat_num_of_epr_types: 0
% 150.45/150.85 % sat_num_of_non_cyclic_types: 0
% 150.45/150.85 % sat_guarded_non_collapsed_types: 0
% 150.45/150.85 % is_epr: 0
% 150.45/150.85 % is_horn: 0
% 150.45/150.85 % has_eq: 1
% 150.45/150.85 % num_pure_diseq_elim: 0
% 150.45/150.85 % simp_replaced_by: 0
% 150.45/150.85 % res_preprocessed: 8
% 150.45/150.85 % prep_upred: 0
% 150.45/150.85 % prep_unflattend: 0
% 150.45/150.85 % pred_elim_cands: 0
% 150.45/150.85 % pred_elim: 0
% 150.45/150.85 % pred_elim_cl: 0
% 150.45/150.85 % pred_elim_cycles: 0
% 150.45/150.87 % forced_gc_time: 0
% 150.45/150.87 % gc_basic_clause_elim: 0
% 150.45/150.87 % parsing_time: 0.172
% 150.45/150.87 % sem_filter_time: 0.
% 150.45/150.87 % pred_elim_time: 0.
% 150.45/150.87 % out_proof_time: 0.
% 150.45/150.87 % monotx_time: 0.
% 150.45/150.87 % subtype_inf_time: 0.
% 150.45/150.87 % unif_index_cands_time: 0.211
% 150.45/150.87 % unif_index_add_time: 0.21
% 150.45/150.87 % total_time: 150.01
% 150.45/150.87 % num_of_symbols: 350
% 150.45/150.87 % num_of_terms: 6987941
% 150.45/150.87
% 150.45/150.87 % ------ Propositional Solver
% 150.45/150.87
% 150.45/150.87 % prop_solver_calls: 20
% 150.45/150.87 % prop_fast_solver_calls: 12
% 150.45/150.87 % prop_num_of_clauses: 144123
% 150.45/150.87 % prop_preprocess_simplified: 227240
% 150.45/150.87 % prop_fo_subsumed: 0
% 150.45/150.87 % prop_solver_time: 0.022
% 150.45/150.87 % prop_fast_solver_time: 0.
% 150.45/150.87 % prop_unsat_core_time: 0.
% 150.45/150.87
% 150.45/150.87 % ------ QBF
% 150.45/150.87
% 150.45/150.87 % qbf_q_res: 0
% 150.45/150.87 % qbf_num_tautologies: 0
% 150.45/150.87 % qbf_prep_cycles: 0
% 150.45/150.87
% 150.45/150.87 % ------ BMC1
% 150.45/150.87
% 150.45/150.87 % bmc1_current_bound: -1
% 150.45/150.87 % bmc1_last_solved_bound: -1
% 150.45/150.87 % bmc1_unsat_core_size: -1
% 150.45/150.87 % bmc1_unsat_core_parents_size: -1
% 150.45/150.87 % bmc1_merge_next_fun: 0
% 150.45/150.87 % bmc1_unsat_core_clauses_time: 0.
% 150.45/150.87
% 150.45/150.87 % ------ Instantiation
% 150.45/150.87
% 150.45/150.87 % inst_num_of_clauses: 5922
% 150.45/150.87 % inst_num_in_passive: 5587
% 150.45/150.87 % inst_num_in_active: 297
% 150.45/150.87 % inst_num_in_unprocessed: 38
% 150.45/150.87 % inst_num_of_loops: 298
% 150.45/150.87 % inst_num_of_learning_restarts: 2
% 150.45/150.87 % inst_num_moves_active_passive: 0
% 150.45/150.87 % inst_lit_activity: 35
% 150.45/150.87 % inst_lit_activity_moves: 0
% 150.45/150.87 % inst_num_tautologies: 0
% 150.45/150.87 % inst_num_prop_implied: 0
% 150.45/150.87 % inst_num_existing_simplified: 0
% 150.45/150.87 % inst_num_eq_res_simplified: 0
% 150.45/150.87 % inst_num_child_elim: 0
% 150.45/150.87 % inst_num_of_dismatching_blockings: 0
% 150.45/150.87 % inst_num_of_non_proper_insts: 29
% 150.45/150.87 % inst_num_of_duplicates: 62
% 150.45/150.87 % inst_inst_num_from_inst_to_res: 0
% 150.45/150.87 % inst_dismatching_checking_time: 10.31
% 150.45/150.87
% 150.45/150.87 % ------ Resolution
% 150.45/150.87
% 150.45/150.87 % res_num_of_clauses: 1576825
% 150.45/150.87 % res_num_in_passive: 1541255
% 150.45/150.87 % res_num_in_active: 31685
% 150.45/150.87 % res_num_of_loops: 31665
% 150.45/150.87 % res_forward_subset_subsumed: 8807
% 150.45/150.87 % res_backward_subset_subsumed: 32
% 150.45/150.87 % res_forward_subsumed: 2330
% 150.45/150.87 % res_backward_subsumed: 2
% 150.45/150.87 % res_forward_subsumption_resolution: 11
% 150.45/150.87 % res_backward_subsumption_resolution: 0
% 150.45/150.87 % res_clause_to_clause_subsumption: 88239
% 150.45/150.87 % res_orphan_elimination: 0
% 150.45/150.87 % res_tautology_del: 100
% 150.45/150.87 % res_num_eq_res_simplified: 1
% 150.45/150.87 % res_num_sel_changes: 0
% 150.45/150.87 % res_moves_from_active_to_pass: 0
% 150.45/150.87
% 150.45/150.87 % Status Unknown
% 150.95/151.30 % Orienting using strategy ClausalAll
% 150.95/151.30 % Orientation found
% 150.95/151.30 % 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_f060cd.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_ab2787 | grep -v "SZS"
% 151.00/151.32
% 151.00/151.32 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 151.00/151.32
% 151.00/151.32 %
% 151.00/151.32 % ------ iProver source info
% 151.00/151.32
% 151.00/151.32 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 151.00/151.32 % git: non_committed_changes: true
% 151.00/151.32 % git: last_make_outside_of_git: true
% 151.00/151.32
% 151.00/151.32 %
% 151.00/151.32 % ------ Input Options
% 151.00/151.32
% 151.00/151.32 % --out_options all
% 151.00/151.32 % --tptp_safe_out true
% 151.00/151.32 % --problem_path ""
% 151.00/151.32 % --include_path ""
% 151.00/151.32 % --clausifier .//eprover
% 151.00/151.32 % --clausifier_options --tstp-format
% 151.00/151.32 % --stdin false
% 151.00/151.32 % --dbg_backtrace false
% 151.00/151.32 % --dbg_dump_prop_clauses false
% 151.00/151.32 % --dbg_dump_prop_clauses_file -
% 151.00/151.32 % --dbg_out_stat false
% 151.00/151.32
% 151.00/151.32 % ------ General Options
% 151.00/151.32
% 151.00/151.32 % --fof false
% 151.00/151.32 % --time_out_real 150.
% 151.00/151.32 % --time_out_prep_mult 0.2
% 151.00/151.32 % --time_out_virtual -1.
% 151.00/151.32 % --schedule none
% 151.00/151.32 % --ground_splitting input
% 151.00/151.32 % --splitting_nvd 16
% 151.00/151.32 % --non_eq_to_eq false
% 151.00/151.32 % --prep_gs_sim true
% 151.00/151.32 % --prep_unflatten false
% 151.00/151.32 % --prep_res_sim true
% 151.00/151.32 % --prep_upred true
% 151.00/151.32 % --res_sim_input true
% 151.00/151.32 % --clause_weak_htbl true
% 151.00/151.32 % --gc_record_bc_elim false
% 151.00/151.32 % --symbol_type_check false
% 151.00/151.32 % --clausify_out false
% 151.00/151.32 % --large_theory_mode false
% 151.00/151.32 % --prep_sem_filter none
% 151.00/151.32 % --prep_sem_filter_out false
% 151.00/151.32 % --preprocessed_out false
% 151.00/151.32 % --sub_typing false
% 151.00/151.32 % --brand_transform false
% 151.00/151.32 % --pure_diseq_elim true
% 151.00/151.32 % --min_unsat_core false
% 151.00/151.32 % --pred_elim true
% 151.00/151.32 % --add_important_lit false
% 151.00/151.32 % --soft_assumptions false
% 151.00/151.32 % --reset_solvers false
% 151.00/151.32 % --bc_imp_inh []
% 151.00/151.32 % --conj_cone_tolerance 1.5
% 151.00/151.32 % --prolific_symb_bound 500
% 151.00/151.32 % --lt_threshold 2000
% 151.00/151.32
% 151.00/151.32 % ------ SAT Options
% 151.00/151.32
% 151.00/151.32 % --sat_mode false
% 151.00/151.32 % --sat_fm_restart_options ""
% 151.00/151.32 % --sat_gr_def false
% 151.00/151.32 % --sat_epr_types true
% 151.00/151.32 % --sat_non_cyclic_types false
% 151.00/151.32 % --sat_finite_models false
% 151.00/151.32 % --sat_fm_lemmas false
% 151.00/151.32 % --sat_fm_prep false
% 151.00/151.32 % --sat_fm_uc_incr true
% 151.00/151.32 % --sat_out_model small
% 151.00/151.32 % --sat_out_clauses false
% 151.00/151.32
% 151.00/151.32 % ------ QBF Options
% 151.00/151.32
% 151.00/151.32 % --qbf_mode false
% 151.00/151.32 % --qbf_elim_univ true
% 151.00/151.32 % --qbf_sk_in true
% 151.00/151.32 % --qbf_pred_elim true
% 151.00/151.32 % --qbf_split 32
% 151.00/151.32
% 151.00/151.32 % ------ BMC1 Options
% 151.00/151.32
% 151.00/151.32 % --bmc1_incremental false
% 151.00/151.32 % --bmc1_axioms reachable_all
% 151.00/151.32 % --bmc1_min_bound 0
% 151.00/151.32 % --bmc1_max_bound -1
% 151.00/151.32 % --bmc1_max_bound_default -1
% 151.00/151.32 % --bmc1_symbol_reachability true
% 151.00/151.32 % --bmc1_property_lemmas false
% 151.00/151.32 % --bmc1_k_induction false
% 151.00/151.32 % --bmc1_non_equiv_states false
% 151.00/151.32 % --bmc1_deadlock false
% 151.00/151.32 % --bmc1_ucm false
% 151.00/151.32 % --bmc1_add_unsat_core none
% 151.00/151.32 % --bmc1_unsat_core_children false
% 151.00/151.32 % --bmc1_unsat_core_extrapolate_axioms false
% 151.00/151.32 % --bmc1_out_stat full
% 151.00/151.32 % --bmc1_ground_init false
% 151.00/151.32 % --bmc1_pre_inst_next_state false
% 151.00/151.32 % --bmc1_pre_inst_state false
% 151.00/151.32 % --bmc1_pre_inst_reach_state false
% 151.00/151.32 % --bmc1_out_unsat_core false
% 151.00/151.32 % --bmc1_aig_witness_out false
% 151.00/151.32 % --bmc1_verbose false
% 151.00/151.32 % --bmc1_dump_clauses_tptp false
% 158.92/159.36 % --bmc1_dump_unsat_core_tptp false
% 158.92/159.36 % --bmc1_dump_file -
% 158.92/159.36 % --bmc1_ucm_expand_uc_limit 128
% 158.92/159.36 % --bmc1_ucm_n_expand_iterations 6
% 158.92/159.36 % --bmc1_ucm_extend_mode 1
% 158.92/159.36 % --bmc1_ucm_init_mode 2
% 158.92/159.36 % --bmc1_ucm_cone_mode none
% 158.92/159.36 % --bmc1_ucm_reduced_relation_type 0
% 158.92/159.36 % --bmc1_ucm_relax_model 4
% 158.92/159.36 % --bmc1_ucm_full_tr_after_sat true
% 158.92/159.36 % --bmc1_ucm_expand_neg_assumptions false
% 158.92/159.36 % --bmc1_ucm_layered_model none
% 158.92/159.36 % --bmc1_ucm_max_lemma_size 10
% 158.92/159.36
% 158.92/159.36 % ------ AIG Options
% 158.92/159.36
% 158.92/159.36 % --aig_mode false
% 158.92/159.36
% 158.92/159.36 % ------ Instantiation Options
% 158.92/159.36
% 158.92/159.36 % --instantiation_flag true
% 158.92/159.36 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 158.92/159.36 % --inst_solver_per_active 750
% 158.92/159.36 % --inst_solver_calls_frac 0.5
% 158.92/159.36 % --inst_passive_queue_type priority_queues
% 158.92/159.36 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 158.92/159.36 % --inst_passive_queues_freq [25;2]
% 158.92/159.36 % --inst_dismatching true
% 158.92/159.36 % --inst_eager_unprocessed_to_passive true
% 158.92/159.36 % --inst_prop_sim_given true
% 158.92/159.36 % --inst_prop_sim_new false
% 158.92/159.36 % --inst_orphan_elimination true
% 158.92/159.36 % --inst_learning_loop_flag true
% 158.92/159.36 % --inst_learning_start 3000
% 158.92/159.36 % --inst_learning_factor 2
% 158.92/159.36 % --inst_start_prop_sim_after_learn 3
% 158.92/159.36 % --inst_sel_renew solver
% 158.92/159.36 % --inst_lit_activity_flag true
% 158.92/159.36 % --inst_out_proof true
% 158.92/159.36
% 158.92/159.36 % ------ Resolution Options
% 158.92/159.36
% 158.92/159.36 % --resolution_flag true
% 158.92/159.36 % --res_lit_sel kbo_max
% 158.92/159.36 % --res_to_prop_solver none
% 158.92/159.36 % --res_prop_simpl_new false
% 158.92/159.36 % --res_prop_simpl_given false
% 158.92/159.36 % --res_passive_queue_type priority_queues
% 158.92/159.36 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 158.92/159.36 % --res_passive_queues_freq [15;5]
% 158.92/159.36 % --res_forward_subs full
% 158.92/159.36 % --res_backward_subs full
% 158.92/159.36 % --res_forward_subs_resolution true
% 158.92/159.36 % --res_backward_subs_resolution true
% 158.92/159.36 % --res_orphan_elimination false
% 158.92/159.36 % --res_time_limit 1000.
% 158.92/159.36 % --res_out_proof true
% 158.92/159.36 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f060cd.s
% 158.92/159.36 % --modulo true
% 158.92/159.36
% 158.92/159.36 % ------ Combination Options
% 158.92/159.36
% 158.92/159.36 % --comb_res_mult 1000
% 158.92/159.36 % --comb_inst_mult 300
% 158.92/159.36 % ------
% 158.92/159.36
% 158.92/159.36 % ------ Parsing...% successful
% 158.92/159.36
% 158.92/159.36 % ------ 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 %
% 158.92/159.36
% 158.92/159.36 % ------ Proving...
% 158.92/159.36 % ------ Problem Properties
% 158.92/159.36
% 158.92/159.36 %
% 158.92/159.36 % EPR false
% 158.92/159.36 % Horn false
% 158.92/159.36 % Has equality true
% 158.92/159.36
% 158.92/159.36 % % ------ Input Options Time Limit: Unbounded
% 158.92/159.36
% 158.92/159.36
% 158.92/159.36 Compiling...
% 158.92/159.36 Loading plugin: done.
% 158.92/159.36 Compiling...
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% 158.92/159.36 Compiling...
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% 170.18/170.59 Compiling...
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% 170.18/170.59 Compiling...
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% 170.18/170.59 Compiling...
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% 170.18/170.59 Compiling...
% 170.18/170.59 Loading plugin: done.
% 170.18/170.59 % % ------ Current options:
% 170.18/170.59
% 170.18/170.59 % ------ Input Options
% 170.18/170.59
% 170.18/170.59 % --out_options all
% 170.18/170.59 % --tptp_safe_out true
% 170.18/170.59 % --problem_path ""
% 170.18/170.59 % --include_path ""
% 170.18/170.59 % --clausifier .//eprover
% 170.18/170.59 % --clausifier_options --tstp-format
% 170.18/170.59 % --stdin false
% 170.18/170.59 % --dbg_backtrace false
% 170.18/170.59 % --dbg_dump_prop_clauses false
% 170.18/170.59 % --dbg_dump_prop_clauses_file -
% 170.18/170.59 % --dbg_out_stat false
% 170.18/170.59
% 170.18/170.59 % ------ General Options
% 170.18/170.59
% 170.18/170.59 % --fof false
% 170.18/170.59 % --time_out_real 150.
% 170.18/170.59 % --time_out_prep_mult 0.2
% 170.18/170.59 % --time_out_virtual -1.
% 170.18/170.59 % --schedule none
% 170.18/170.59 % --ground_splitting input
% 170.18/170.59 % --splitting_nvd 16
% 170.18/170.59 % --non_eq_to_eq false
% 170.18/170.59 % --prep_gs_sim true
% 170.18/170.59 % --prep_unflatten false
% 170.18/170.59 % --prep_res_sim true
% 170.18/170.59 % --prep_upred true
% 170.18/170.59 % --res_sim_input true
% 170.18/170.59 % --clause_weak_htbl true
% 170.18/170.59 % --gc_record_bc_elim false
% 170.18/170.59 % --symbol_type_check false
% 170.18/170.59 % --clausify_out false
% 170.18/170.59 % --large_theory_mode false
% 170.18/170.59 % --prep_sem_filter none
% 170.18/170.59 % --prep_sem_filter_out false
% 170.18/170.59 % --preprocessed_out false
% 170.18/170.59 % --sub_typing false
% 170.18/170.59 % --brand_transform false
% 170.18/170.59 % --pure_diseq_elim true
% 170.18/170.59 % --min_unsat_core false
% 170.18/170.59 % --pred_elim true
% 170.18/170.59 % --add_important_lit false
% 170.18/170.59 % --soft_assumptions false
% 170.18/170.59 % --reset_solvers false
% 170.18/170.59 % --bc_imp_inh []
% 170.18/170.59 % --conj_cone_tolerance 1.5
% 170.18/170.59 % --prolific_symb_bound 500
% 170.18/170.59 % --lt_threshold 2000
% 170.18/170.59
% 170.18/170.59 % ------ SAT Options
% 170.18/170.59
% 170.18/170.59 % --sat_mode false
% 170.18/170.59 % --sat_fm_restart_options ""
% 170.18/170.59 % --sat_gr_def false
% 170.18/170.59 % --sat_epr_types true
% 170.18/170.59 % --sat_non_cyclic_types false
% 170.18/170.59 % --sat_finite_models false
% 170.18/170.59 % --sat_fm_lemmas false
% 170.18/170.59 % --sat_fm_prep false
% 170.18/170.59 % --sat_fm_uc_incr true
% 170.18/170.59 % --sat_out_model small
% 170.18/170.59 % --sat_out_clauses false
% 170.18/170.59
% 170.18/170.59 % ------ QBF Options
% 170.18/170.59
% 170.18/170.59 % --qbf_mode false
% 170.18/170.59 % --qbf_elim_univ true
% 170.18/170.59 % --qbf_sk_in true
% 170.18/170.59 % --qbf_pred_elim true
% 170.18/170.59 % --qbf_split 32
% 170.18/170.59
% 170.18/170.59 % ------ BMC1 Options
% 170.18/170.59
% 170.18/170.59 % --bmc1_incremental false
% 170.18/170.59 % --bmc1_axioms reachable_all
% 170.18/170.59 % --bmc1_min_bound 0
% 170.18/170.59 % --bmc1_max_bound -1
% 170.18/170.59 % --bmc1_max_bound_default -1
% 170.18/170.59 % --bmc1_symbol_reachability true
% 170.18/170.59 % --bmc1_property_lemmas false
% 170.18/170.59 % --bmc1_k_induction false
% 170.18/170.59 % --bmc1_non_equiv_states false
% 170.18/170.59 % --bmc1_deadlock false
% 170.18/170.59 % --bmc1_ucm false
% 170.18/170.59 % --bmc1_add_unsat_core none
% 170.18/170.59 % --bmc1_unsat_core_children false
% 170.18/170.59 % --bmc1_unsat_core_extrapolate_axioms false
% 170.18/170.59 % --bmc1_out_stat full
% 170.18/170.59 % --bmc1_ground_init false
% 170.18/170.59 % --bmc1_pre_inst_next_state false
% 170.18/170.59 % --bmc1_pre_inst_state false
% 170.18/170.59 % --bmc1_pre_inst_reach_state false
% 170.18/170.59 % --bmc1_out_unsat_core false
% 170.18/170.59 % --bmc1_aig_witness_out false
% 170.18/170.59 % --bmc1_verbose false
% 170.18/170.59 % --bmc1_dump_clauses_tptp false
% 170.18/170.59 % --bmc1_dump_unsat_core_tptp false
% 170.18/170.59 % --bmc1_dump_file -
% 170.18/170.59 % --bmc1_ucm_expand_uc_limit 128
% 170.18/170.59 % --bmc1_ucm_n_expand_iterations 6
% 170.18/170.59 % --bmc1_ucm_extend_mode 1
% 170.18/170.59 % --bmc1_ucm_init_mode 2
% 170.18/170.59 % --bmc1_ucm_cone_mode none
% 170.18/170.59 % --bmc1_ucm_reduced_relation_type 0
% 170.18/170.59 % --bmc1_ucm_relax_model 4
% 170.18/170.59 % --bmc1_ucm_full_tr_after_sat true
% 170.18/170.59 % --bmc1_ucm_expand_neg_assumptions false
% 170.18/170.59 % --bmc1_ucm_layered_model none
% 170.18/170.59 % --bmc1_ucm_max_lemma_size 10
% 170.18/170.59
% 170.18/170.59 % ------ AIG Options
% 170.18/170.59
% 170.18/170.59 % --aig_mode false
% 170.18/170.59
% 170.18/170.59 % ------ Instantiation Options
% 170.18/170.59
% 170.18/170.59 % --instantiation_flag true
% 170.18/170.59 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 170.18/170.59 % --inst_solver_per_active 750
% 170.18/170.59 % --inst_solver_calls_frac 0.5
% 170.18/170.59 % --inst_passive_queue_type priority_queues
% 170.18/170.59 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 170.18/170.59 % --inst_passive_queues_freq [25;2]
% 170.18/170.59 % --inst_dismatching true
% 170.18/170.59 % --inst_eager_unprocessed_to_passive true
% 170.18/170.59 % --inst_prop_sim_given true
% 170.18/170.59 % --inst_prop_sim_new false
% 170.18/170.59 % --inst_orphan_elimination true
% 170.18/170.59 % --inst_learning_loop_flag true
% 170.18/170.59 % --inst_learning_start 3000
% 170.18/170.59 % --inst_learning_factor 2
% 170.18/170.59 % --inst_start_prop_sim_after_learn 3
% 170.18/170.59 % --inst_sel_renew solver
% 170.18/170.59 % --inst_lit_activity_flag true
% 170.18/170.59 % --inst_out_proof true
% 170.18/170.59
% 170.18/170.59 % ------ Resolution Options
% 170.18/170.59
% 170.18/170.59 % --resolution_flag true
% 170.18/170.59 % --res_lit_sel kbo_max
% 170.18/170.59 % --res_to_prop_solver none
% 170.18/170.59 % --res_prop_simpl_new false
% 170.18/170.59 % --res_prop_simpl_given false
% 170.18/170.59 % --res_passive_queue_type priority_queues
% 170.18/170.59 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 170.18/170.59 % --res_passive_queues_freq [15;5]
% 170.18/170.59 % --res_forward_subs full
% 170.18/170.59 % --res_backward_subs full
% 170.18/170.59 % --res_forward_subs_resolution true
% 170.18/170.59 % --res_backward_subs_resolution true
% 170.18/170.59 % --res_orphan_elimination false
% 170.18/170.59 % --res_time_limit 1000.
% 170.18/170.59 % --res_out_proof true
% 170.18/170.59 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f060cd.s
% 170.18/170.59 % --modulo true
% 170.18/170.59
% 170.18/170.59 % ------ Combination Options
% 170.18/170.59
% 170.18/170.59 % --comb_res_mult 1000
% 170.18/170.59 % --comb_inst_mult 300
% 170.18/170.59 % ------
% 170.18/170.59
% 170.18/170.59
% 170.18/170.59
% 170.18/170.59 % ------ Proving...
% 170.18/170.59 % warning: shown sat in sat incomplete mode
% 170.18/170.59 %
% 170.18/170.59
% 170.18/170.59
% 170.18/170.59
% 170.18/170.59
% 170.18/170.59 cnf(c_5997,negated_conjecture,
% 170.18/170.59 ( v_F != v_G ),
% 170.18/170.59 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_19) ).
% 170.18/170.59
% 170.18/170.59 cnf(c_8357,negated_conjecture,
% 170.18/170.59 ( v_F != v_G ),
% 170.18/170.59 inference(copy,[status(esa)],[c_5997]) ).
% 170.18/170.59
% 170.18/170.59 cnf(c_8373,negated_conjecture,
% 170.18/170.59 ( v_F != v_G ),
% 170.18/170.59 inference(copy,[status(esa)],[c_8357]) ).
% 170.18/170.59
% 170.18/170.59 cnf(c_8380,negated_conjecture,
% 170.18/170.59 ( v_F != v_G ),
% 170.18/170.59 inference(copy,[status(esa)],[c_8373]) ).
% 170.18/170.59
% 170.18/170.59 cnf(c_8384,negated_conjecture,
% 170.18/170.59 ( v_F != v_G ),
% 170.18/170.59 inference(copy,[status(esa)],[c_8380]) ).
% 170.18/170.59
% 170.18/170.59 cnf(c_25973,negated_conjecture,
% 170.18/170.59 ( v_F != v_G ),
% 170.18/170.59 inference(copy,[status(esa)],[c_8384]) ).
% 170.18/170.59
% 170.18/170.59 cnf(c_5450,plain,
% 170.18/170.59 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 170.18/170.59 | X1 = X4 ),
% 170.18/170.59 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11171_1) ).
% 170.18/170.59
% 170.18/170.59 cnf(c_24873,plain,
% 170.18/170.59 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X4,X3) = c_List_Onth(X0,X4,X3)
% 170.18/170.59 | X1 = X4 ),
% 170.18/170.59 inference(copy,[status(esa)],[c_5450]) ).
% 170.18/170.59
% 170.18/170.59 cnf(c_25979,plain,
% 170.18/170.59 ( c_List_Onth(c_List_Olist__update(X0,v_F,X1,X2),v_G,X2) = c_List_Onth(X0,v_G,X2) ),
% 170.18/170.60 inference(resolution,[status(thm)],[c_25973,c_24873]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25980,plain,
% 170.18/170.60 ( c_List_Onth(c_List_Olist__update(X0,v_F,X1,X2),v_G,X2) = c_List_Onth(X0,v_G,X2) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25979]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_4513,plain,
% 170.18/170.60 ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 170.18/170.60 | X0 = X1 ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11455_1) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_22999,plain,
% 170.18/170.60 ( c_List_Oremove1(X0,c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_OCons(X1,c_List_Oremove1(X0,X2,X3),X3)
% 170.18/170.60 | X0 = X1 ),
% 170.18/170.60 inference(copy,[status(esa)],[c_4513]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25977,plain,
% 170.18/170.60 ( c_List_Oremove1(v_F,c_List_Olist_OCons(v_G,X0,X1),X1) = c_List_Olist_OCons(v_G,c_List_Oremove1(v_F,X0,X1),X1) ),
% 170.18/170.60 inference(resolution,[status(thm)],[c_25973,c_22999]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25978,plain,
% 170.18/170.60 ( c_List_Oremove1(v_F,c_List_Olist_OCons(v_G,X0,X1),X1) = c_List_Olist_OCons(v_G,c_List_Oremove1(v_F,X0,X1),X1) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25977]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5982,plain,
% 170.18/170.60 ( 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))))
% 170.18/170.60 | 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))))
% 170.18/170.60 | ~ 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)))) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10982_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25937,plain,
% 170.18/170.60 ( 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))))
% 170.18/170.60 | 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))))
% 170.18/170.60 | ~ 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)))) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5982]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25938,plain,
% 170.18/170.60 ( 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))))
% 170.18/170.60 | 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))))
% 170.18/170.60 | ~ 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)))) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25937]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5979,plain,
% 170.18/170.60 ( 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
% 170.18/170.60 | 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))))
% 170.18/170.60 | ~ 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)))) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10986_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25931,plain,
% 170.18/170.60 ( 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
% 170.18/170.60 | 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))))
% 170.18/170.60 | ~ 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)))) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5979]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25932,plain,
% 170.18/170.60 ( 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))))
% 170.18/170.60 | ~ 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))))
% 170.18/170.60 | 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 ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25931]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5976,plain,
% 170.18/170.60 ( 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
% 170.18/170.60 | 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))))
% 170.18/170.60 | ~ 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)))) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10987_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25925,plain,
% 170.18/170.60 ( 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
% 170.18/170.60 | 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))))
% 170.18/170.60 | ~ 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)))) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5976]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25926,plain,
% 170.18/170.60 ( 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))))
% 170.18/170.60 | ~ 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))))
% 170.18/170.60 | 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 ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25925]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5970,plain,
% 170.18/170.60 ( ~ 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))))
% 170.18/170.60 | 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))))
% 170.18/170.60 | ~ 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)))) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10990_1) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25913,plain,
% 170.18/170.60 ( ~ 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))))
% 170.18/170.60 | 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))))
% 170.18/170.60 | ~ 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)))) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5970]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25914,plain,
% 170.18/170.60 ( 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))))
% 170.18/170.60 | ~ 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))))
% 170.18/170.60 | ~ 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)))) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25913]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5952,plain,
% 170.18/170.60 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 170.18/170.60 | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3))
% 170.18/170.60 | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2)) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10998_1) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25877,plain,
% 170.18/170.60 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 170.18/170.60 | c_in(c_Pair(X5,X1,X6,X3),c_Relation_Orel__comp(X4,X7,X2,X3,X6),tc_prod(X6,X3))
% 170.18/170.60 | ~ c_in(c_Pair(X5,X0,X6,X2),X7,tc_prod(X6,X2)) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5952]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25878,plain,
% 170.18/170.60 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 170.18/170.60 | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3))
% 170.18/170.60 | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6)) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25877]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5946,plain,
% 170.18/170.60 ( 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))
% 170.18/170.60 | 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)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11000_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25865,plain,
% 170.18/170.60 ( 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))
% 170.18/170.60 | 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)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5946]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25866,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | 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)) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25865]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5940,plain,
% 170.18/170.60 ( 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))
% 170.18/170.60 | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11003_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25853,plain,
% 170.18/170.60 ( 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))
% 170.18/170.60 | c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5940]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25854,plain,
% 170.18/170.60 ( c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | 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)) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25853]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5933,plain,
% 170.18/170.60 ( 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))
% 170.18/170.60 | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11006_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25839,plain,
% 170.18/170.60 ( 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))
% 170.18/170.60 | c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5933]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25840,plain,
% 170.18/170.60 ( c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | 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)) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25839]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5923,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11010_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25819,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5923]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25820,plain,
% 170.18/170.60 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.18/170.60 | 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) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25819]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5917,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11012_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25807,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ c_lessequals(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5917]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25808,plain,
% 170.18/170.60 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.18/170.60 | 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) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25807]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5885,plain,
% 170.18/170.60 ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11026_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25743,plain,
% 170.18/170.60 ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5885]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25744,plain,
% 170.18/170.60 ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25743]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5882,plain,
% 170.18/170.60 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 170.18/170.60 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11027_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25737,plain,
% 170.18/170.60 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 170.18/170.60 | c_in(c_Main_OusumE__1(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5882]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25738,plain,
% 170.18/170.60 ( c_in(c_Main_OusumE__1(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X4,X1,X2,X3),X2,X3) = X1 ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25737]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5879,plain,
% 170.18/170.60 ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,X1,X2,X3),X2,X3) = X1
% 170.18/170.60 | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11028_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25731,plain,
% 170.18/170.60 ( c_Datatype__Universe_OIn0(c_Main_OusumE__1(X0,X1,X2,X3),X2,X3) = X1
% 170.18/170.60 | c_in(c_Main_OusumE__2(X4,X1,X2,X3),X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | ~ c_in(X1,c_Datatype__Universe_Ousum(X0,X4,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5879]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25732,plain,
% 170.18/170.60 ( c_in(c_Main_OusumE__2(X0,X1,X2,X3),X0,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1 ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25731]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5867,plain,
% 170.18/170.60 ( 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)))
% 170.18/170.60 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2))
% 170.18/170.60 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11033_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25707,plain,
% 170.18/170.60 ( 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)))
% 170.18/170.60 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2))
% 170.18/170.60 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5867]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25708,plain,
% 170.18/170.60 ( 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)))
% 170.18/170.60 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 170.18/170.60 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25707]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5859,plain,
% 170.18/170.60 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 170.18/170.60 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 170.18/170.60 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11036_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25691,plain,
% 170.18/170.60 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 170.18/170.60 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 170.18/170.60 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5859]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25692,plain,
% 170.18/170.60 ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 170.18/170.60 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3))
% 170.18/170.60 | c_Sum__Type_OInr(c_Main_OPlusE__2(X4,X1,X3,X2),X3,X2) = X1 ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25691]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5856,plain,
% 170.18/170.60 ( c_Sum__Type_OInl(c_Main_OPlusE__1(X0,X1,X2,X3),X2,X3) = X1
% 170.18/170.60 | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 170.18/170.60 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11037_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25685,plain,
% 170.18/170.60 ( c_Sum__Type_OInl(c_Main_OPlusE__1(X0,X1,X2,X3),X2,X3) = X1
% 170.18/170.60 | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 170.18/170.60 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5856]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25686,plain,
% 170.18/170.60 ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 170.18/170.60 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2))
% 170.18/170.60 | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1 ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25685]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5853,plain,
% 170.18/170.60 ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 170.18/170.60 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 170.18/170.60 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11038_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25679,plain,
% 170.18/170.60 ( c_in(c_Main_OPlusE__2(X0,X1,X2,X3),X0,X2)
% 170.18/170.60 | c_in(c_Main_OPlusE__1(X4,X1,X3,X2),X4,X3)
% 170.18/170.60 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5853]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25680,plain,
% 170.18/170.60 ( c_in(c_Main_OPlusE__1(X0,X1,X2,X3),X0,X2)
% 170.18/170.60 | c_in(c_Main_OPlusE__2(X4,X1,X3,X2),X4,X3)
% 170.18/170.60 | ~ c_in(X1,c_Sum__Type_OPlus(X0,X4,X2,X3),tc_sum(X2,X3)) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25679]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5840,plain,
% 170.18/170.60 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 170.18/170.60 | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 170.18/170.60 | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11045_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25653,plain,
% 170.18/170.60 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 170.18/170.60 | c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 170.18/170.60 | ~ c_Wellfounded__Recursion_Owf(X3,X2) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5840]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25654,plain,
% 170.18/170.60 ( c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 170.18/170.60 | ~ c_Wellfounded__Recursion_Owf(X3,X2)
% 170.18/170.60 | c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25653]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5823,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 170.18/170.60 | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11052_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25619,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3))
% 170.18/170.60 | c_Nat_Osize(X4,tc_List_Olist(X2)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5823]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25620,plain,
% 170.18/170.60 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 170.18/170.60 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 170.18/170.60 | 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) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25619]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5816,plain,
% 170.18/170.60 ( 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))
% 170.18/170.60 | ~ 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)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11057_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25605,plain,
% 170.18/170.60 ( 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))
% 170.18/170.60 | ~ 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)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5816]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25606,plain,
% 170.18/170.60 ( ~ 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)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | 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)) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25605]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5813,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11058_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25599,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5813]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25600,plain,
% 170.18/170.60 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | 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) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25599]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5807,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11060_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25587,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5807]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25588,plain,
% 170.18/170.60 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | 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) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25587]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5799,plain,
% 170.18/170.60 ( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 170.18/170.60 | ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
% 170.18/170.60 | ~ c_in(X5,X2,X3) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11064_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25571,plain,
% 170.18/170.60 ( c_in(X0,c_Relation_OImage(X1,X2,X3,X4),X4)
% 170.18/170.60 | ~ c_in(c_Pair(X5,X0,X3,X4),X1,tc_prod(X3,X4))
% 170.18/170.60 | ~ c_in(X5,X2,X3) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5799]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25572,plain,
% 170.18/170.60 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 170.18/170.60 | c_in(X1,c_Relation_OImage(X4,X5,X2,X3),X3)
% 170.18/170.60 | ~ c_in(X0,X5,X2) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25571]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5793,plain,
% 170.18/170.60 ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | 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)))
% 170.18/170.60 | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11068_1) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25559,plain,
% 170.18/170.60 ( ~ c_in(X0,X1,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | 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)))
% 170.18/170.60 | ~ c_in(X4,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5793]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25560,plain,
% 170.18/170.60 ( 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)))
% 170.18/170.60 | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.18/170.60 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25559]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5789,plain,
% 170.18/170.60 ( 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))
% 170.18/170.60 | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11069_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25551,plain,
% 170.18/170.60 ( 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))
% 170.18/170.60 | ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5789]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25552,plain,
% 170.18/170.60 ( ~ c_lessequals(c_0,c_plus(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | 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)) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25551]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5783,plain,
% 170.18/170.60 ( 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))
% 170.18/170.60 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 170.18/170.60 | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11071_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25539,plain,
% 170.18/170.60 ( 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))
% 170.18/170.60 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat)
% 170.18/170.60 | ~ c_less(X1,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5783]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25540,plain,
% 170.18/170.60 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 170.18/170.60 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 170.18/170.60 | 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)) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25539]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5777,plain,
% 170.18/170.60 ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 170.18/170.60 | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
% 170.18/170.60 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11077_1) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25527,plain,
% 170.18/170.60 ( ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 170.18/170.60 | c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat)
% 170.18/170.60 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5777]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25528,plain,
% 170.18/170.60 ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 170.18/170.60 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat)
% 170.18/170.60 | ~ c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25527]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5758,plain,
% 170.18/170.60 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 170.18/170.60 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.18/170.60 | ~ class_Numeral_Onumber(X3) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11089_6) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25489,plain,
% 170.18/170.60 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 170.18/170.60 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.18/170.60 | ~ class_Numeral_Onumber(X3) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5758]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25490,plain,
% 170.18/170.60 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.18/170.60 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 170.18/170.60 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.18/170.60 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25489]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5751,plain,
% 170.18/170.60 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.18/170.60 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.18/170.60 | ~ class_Numeral_Onumber(X3) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11090_6) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25475,plain,
% 170.18/170.60 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.18/170.60 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.18/170.60 | ~ class_Numeral_Onumber(X3) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5751]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25476,plain,
% 170.18/170.60 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.60 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.18/170.60 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.18/170.60 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25475]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5744,plain,
% 170.18/170.60 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.60 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.18/170.60 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11091_6) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25461,plain,
% 170.18/170.60 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.60 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.18/170.60 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5744]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25462,plain,
% 170.18/170.60 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.18/170.60 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 170.18/170.60 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 170.18/170.60 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25461]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5737,plain,
% 170.18/170.60 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.60 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.60 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11092_6) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25447,plain,
% 170.18/170.60 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.60 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.60 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5737]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25448,plain,
% 170.18/170.60 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.60 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.18/170.60 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 170.18/170.60 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.18/170.60 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25447]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5730,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11098_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25433,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5730]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25434,plain,
% 170.18/170.60 ( ~ c_less(c_1,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.18/170.60 | 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) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25433]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5723,plain,
% 170.18/170.60 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.18/170.60 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_less(X0,c_0,X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.18/170.60 | ~ class_Numeral_Onumber(X3) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11099_6) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25419,plain,
% 170.18/170.60 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.18/170.60 | ~ c_less(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_less(X0,c_0,X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.18/170.60 | ~ class_Numeral_Onumber(X3) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5723]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25420,plain,
% 170.18/170.60 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.60 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.18/170.60 | ~ c_less(X1,c_0,X0)
% 170.18/170.60 | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.18/170.60 | c_less(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25419]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5716,plain,
% 170.18/170.60 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.18/170.60 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_lessequals(X0,c_0,X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.18/170.60 | ~ class_Numeral_Onumber(X3) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11100_6) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25405,plain,
% 170.18/170.60 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.18/170.60 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.60 | ~ c_lessequals(X0,c_0,X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.18/170.60 | ~ class_Numeral_Onumber(X3) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5716]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25406,plain,
% 170.18/170.60 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.60 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.18/170.60 | ~ c_lessequals(X1,c_0,X0)
% 170.18/170.60 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.18/170.60 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25405]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5709,plain,
% 170.18/170.60 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.60 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.60 | ~ c_less(c_0,X3,X2)
% 170.18/170.60 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11101_6) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25391,plain,
% 170.18/170.60 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.60 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.60 | ~ c_less(c_0,X3,X2)
% 170.18/170.60 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5709]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25392,plain,
% 170.18/170.60 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.60 | ~ c_less(c_0,X1,X0)
% 170.18/170.60 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.18/170.60 | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 170.18/170.60 | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25391]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5702,plain,
% 170.18/170.60 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.60 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.60 | ~ c_lessequals(c_0,X3,X2)
% 170.18/170.60 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11102_6) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25377,plain,
% 170.18/170.60 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.60 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.60 | ~ c_lessequals(c_0,X3,X2)
% 170.18/170.60 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5702]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25378,plain,
% 170.18/170.60 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.60 | ~ c_lessequals(c_0,X1,X0)
% 170.18/170.60 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.18/170.60 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 170.18/170.60 | ~ c_lessequals(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25377]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5699,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 170.18/170.60 | ~ class_Power_Orecpower(X1) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11103_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25371,plain,
% 170.18/170.60 ( 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)
% 170.18/170.60 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 170.18/170.60 | ~ class_Power_Orecpower(X1) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5699]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25372,plain,
% 170.18/170.60 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.18/170.60 | ~ class_Power_Orecpower(X0)
% 170.18/170.60 | 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) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25371]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5684,plain,
% 170.18/170.60 ( c_Map_Omap__of(c_List_Ozip(X0,X1,X2,X3),X4,X2,X3) = c_Datatype_Ooption_ONone
% 170.18/170.60 | c_in(X4,c_List_Oset(X0,X2),X2)
% 170.18/170.60 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11113_2) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25341,plain,
% 170.18/170.60 ( c_Map_Omap__of(c_List_Ozip(X0,X1,X2,X3),X4,X2,X3) = c_Datatype_Ooption_ONone
% 170.18/170.60 | c_in(X4,c_List_Oset(X0,X2),X2)
% 170.18/170.60 | c_Nat_Osize(X0,tc_List_Olist(X2)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5684]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25342,plain,
% 170.18/170.60 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 170.18/170.60 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 170.18/170.60 | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) = c_Datatype_Ooption_ONone ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25341]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5669,plain,
% 170.18/170.60 ( c_less(X0,X1,X2)
% 170.18/170.60 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 170.18/170.60 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11122_4) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25311,plain,
% 170.18/170.60 ( c_less(X0,X1,X2)
% 170.18/170.60 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 170.18/170.60 | ~ c_less(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5669]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25312,plain,
% 170.18/170.60 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.18/170.60 | ~ class_Numeral_Onumber(X0)
% 170.18/170.60 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.18/170.60 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.18/170.60 | c_less(X3,X2,X0) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25311]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5664,plain,
% 170.18/170.60 ( c_less(X0,X1,X2)
% 170.18/170.60 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 170.18/170.60 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11123_4) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25301,plain,
% 170.18/170.60 ( c_less(X0,X1,X2)
% 170.18/170.60 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 170.18/170.60 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 inference(copy,[status(esa)],[c_5664]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25302,plain,
% 170.18/170.60 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.18/170.60 | ~ class_Numeral_Onumber(X0)
% 170.18/170.60 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.18/170.60 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.18/170.60 | c_less(X2,X3,X0) ),
% 170.18/170.60 inference(rewriting,[status(thm)],[c_25301]) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_5659,plain,
% 170.18/170.60 ( c_less(X0,X1,X2)
% 170.18/170.60 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 170.18/170.60 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.60 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.60 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11124_4) ).
% 170.18/170.60
% 170.18/170.60 cnf(c_25291,plain,
% 170.18/170.60 ( c_less(X0,X1,X2)
% 170.18/170.60 | ~ c_lessequals(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 170.18/170.60 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 170.18/170.60 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5659]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25292,plain,
% 170.18/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.18/170.61 | ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.18/170.61 | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.18/170.61 | c_less(X3,X2,X0) ),
% 170.18/170.61 inference(rewriting,[status(thm)],[c_25291]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_5654,plain,
% 170.18/170.61 ( c_less(X0,X1,X2)
% 170.18/170.61 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 170.18/170.61 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11125_4) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25281,plain,
% 170.18/170.61 ( c_less(X0,X1,X2)
% 170.18/170.61 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 170.18/170.61 | ~ c_less(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5654]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25282,plain,
% 170.18/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.18/170.61 | ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.18/170.61 | ~ c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.18/170.61 | c_less(X2,X3,X0) ),
% 170.18/170.61 inference(rewriting,[status(thm)],[c_25281]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_5649,plain,
% 170.18/170.61 ( c_lessequals(X0,X1,X2)
% 170.18/170.61 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11126_4) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25271,plain,
% 170.18/170.61 ( c_lessequals(X0,X1,X2)
% 170.18/170.61 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5649]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25272,plain,
% 170.18/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.18/170.61 | ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.18/170.61 | c_lessequals(X3,X1,X0)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 170.18/170.61 inference(rewriting,[status(thm)],[c_25271]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_5644,plain,
% 170.18/170.61 ( c_lessequals(X0,X1,X2)
% 170.18/170.61 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 170.18/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11127_4) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25261,plain,
% 170.18/170.61 ( c_lessequals(X0,X1,X2)
% 170.18/170.61 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X3,X2),X2),c_times(X1,c_Numeral_Onumber__of(X3,X2),X2),X2)
% 170.18/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5644]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25262,plain,
% 170.18/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.18/170.61 | ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.18/170.61 | c_lessequals(X1,X3,X0)
% 170.18/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0) ),
% 170.18/170.61 inference(rewriting,[status(thm)],[c_25261]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_5639,plain,
% 170.18/170.61 ( c_lessequals(X0,X1,X2)
% 170.18/170.61 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11128_4) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25251,plain,
% 170.18/170.61 ( c_lessequals(X0,X1,X2)
% 170.18/170.61 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),X2)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X3,X2),c_0,X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5639]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25252,plain,
% 170.18/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.18/170.61 | ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.18/170.61 | c_lessequals(X3,X2,X0)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 170.18/170.61 inference(rewriting,[status(thm)],[c_25251]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_5634,plain,
% 170.18/170.61 ( c_lessequals(X0,X1,X2)
% 170.18/170.61 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 170.18/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11129_4) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25241,plain,
% 170.18/170.61 ( c_lessequals(X0,X1,X2)
% 170.18/170.61 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X3,X2),X0,X2),c_times(c_Numeral_Onumber__of(X3,X2),X1,X2),X2)
% 170.18/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X3,X2),X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5634]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25242,plain,
% 170.18/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.18/170.61 | ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | ~ c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.18/170.61 | c_lessequals(X2,X3,X0)
% 170.18/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.18/170.61 inference(rewriting,[status(thm)],[c_25241]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_5627,plain,
% 170.18/170.61 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.18/170.61 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.18/170.61 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.18/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.18/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11130_6) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25227,plain,
% 170.18/170.61 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.18/170.61 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.18/170.61 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.18/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5627]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25228,plain,
% 170.18/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.18/170.61 | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.18/170.61 | c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.61 inference(rewriting,[status(thm)],[c_25227]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_5620,plain,
% 170.18/170.61 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.18/170.61 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.18/170.61 | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.18/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.18/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11131_6) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25213,plain,
% 170.18/170.61 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.18/170.61 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.18/170.61 | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.18/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5620]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25214,plain,
% 170.18/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.18/170.61 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.18/170.61 | ~ c_less(X3,c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.61 inference(rewriting,[status(thm)],[c_25213]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_5613,plain,
% 170.18/170.61 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.18/170.61 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.18/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.18/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11132_6) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25199,plain,
% 170.18/170.61 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.18/170.61 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.18/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5613]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25200,plain,
% 170.18/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | ~ c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.18/170.61 | c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.61 inference(rewriting,[status(thm)],[c_25199]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_5606,plain,
% 170.18/170.61 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.18/170.61 | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.18/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.18/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11133_6) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25185,plain,
% 170.18/170.61 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.18/170.61 | ~ c_lessequals(X1,c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.18/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5606]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25186,plain,
% 170.18/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | c_lessequals(X1,c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.18/170.61 | ~ c_lessequals(X2,c_divide(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.61 inference(rewriting,[status(thm)],[c_25185]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_5599,plain,
% 170.18/170.61 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.18/170.61 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11134_6) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25171,plain,
% 170.18/170.61 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.18/170.61 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5599]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25172,plain,
% 170.18/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.18/170.61 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 170.18/170.61 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.61 inference(rewriting,[status(thm)],[c_25171]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_5592,plain,
% 170.18/170.61 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.18/170.61 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11135_6) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25157,plain,
% 170.18/170.61 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.18/170.61 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5592]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25158,plain,
% 170.18/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.18/170.61 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 170.18/170.61 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.18/170.61 inference(rewriting,[status(thm)],[c_25157]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_5585,plain,
% 170.18/170.61 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.18/170.61 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11136_6) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25143,plain,
% 170.18/170.61 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.18/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.18/170.61 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.18/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.18/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.18/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.18/170.61 inference(copy,[status(esa)],[c_5585]) ).
% 170.18/170.61
% 170.18/170.61 cnf(c_25144,plain,
% 170.18/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.18/170.61 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.18/170.61 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 170.28/170.61 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_25143]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5578,plain,
% 170.28/170.61 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.28/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11137_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25129,plain,
% 170.28/170.61 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.28/170.61 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5578]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25130,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.28/170.61 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 170.28/170.61 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_25129]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5565,plain,
% 170.28/170.61 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.61 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.61 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 170.28/170.61 | ~ c_less(X2,c_0,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11143_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25103,plain,
% 170.28/170.61 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.61 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.61 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X3,X1)
% 170.28/170.61 | ~ c_less(X2,c_0,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5565]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25104,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.61 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 170.28/170.61 | ~ c_less(X2,c_0,X0)
% 170.28/170.61 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_25103]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5558,plain,
% 170.28/170.61 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.61 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.61 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.61 | ~ c_less(X2,c_0,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11144_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25089,plain,
% 170.28/170.61 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.61 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.61 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.61 | ~ c_less(X2,c_0,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5558]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25090,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.61 | ~ c_less(X2,c_0,X0)
% 170.28/170.61 | ~ c_less(X3,c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.28/170.61 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_25089]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5551,plain,
% 170.28/170.61 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 170.28/170.61 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.28/170.61 | ~ c_lessequals(X0,c_0,X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11145_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25075,plain,
% 170.28/170.61 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 170.28/170.61 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.28/170.61 | ~ c_lessequals(X0,c_0,X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5551]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25076,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.28/170.61 | ~ c_lessequals(X1,c_0,X0)
% 170.28/170.61 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_25075]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5544,plain,
% 170.28/170.61 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.28/170.61 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | ~ c_lessequals(X0,c_0,X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11146_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25061,plain,
% 170.28/170.61 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.28/170.61 | ~ c_lessequals(X1,c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | ~ c_lessequals(X0,c_0,X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5544]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25062,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ c_lessequals(X1,c_0,X0)
% 170.28/170.61 | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.28/170.61 | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_25061]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5537,plain,
% 170.28/170.61 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.61 | ~ c_less(c_0,X3,X2)
% 170.28/170.61 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11147_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25047,plain,
% 170.28/170.61 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.61 | ~ c_less(c_0,X3,X2)
% 170.28/170.61 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5537]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25048,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ c_less(c_0,X1,X0)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 170.28/170.61 | c_less(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 170.28/170.61 | ~ c_less(X3,c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_25047]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5530,plain,
% 170.28/170.61 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.28/170.61 | ~ c_less(c_0,X3,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11148_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25033,plain,
% 170.28/170.61 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ c_less(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.28/170.61 | ~ c_less(c_0,X3,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5530]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25034,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.61 | ~ c_less(c_0,X2,X0)
% 170.28/170.61 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 170.28/170.61 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_25033]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5523,plain,
% 170.28/170.61 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.61 | ~ c_lessequals(c_0,X3,X2)
% 170.28/170.61 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11149_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25019,plain,
% 170.28/170.61 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.61 | ~ c_lessequals(c_0,X3,X2)
% 170.28/170.61 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5523]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25020,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ c_lessequals(c_0,X1,X0)
% 170.28/170.61 | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 170.28/170.61 | ~ c_lessequals(X2,c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_25019]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5516,plain,
% 170.28/170.61 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.28/170.61 | ~ c_lessequals(c_0,X3,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11150_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25005,plain,
% 170.28/170.61 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ c_lessequals(c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X0,X2)
% 170.28/170.61 | ~ c_lessequals(c_0,X3,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5516]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_25006,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ c_lessequals(c_0,X1,X0)
% 170.28/170.61 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.28/170.61 | c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X1,X0)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_25005]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5510,plain,
% 170.28/170.61 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11153_5) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24993,plain,
% 170.28/170.61 ( c_less(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | ~ c_less(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5510]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24994,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.61 | ~ c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 170.28/170.61 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24993]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5504,plain,
% 170.28/170.61 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11154_5) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24981,plain,
% 170.28/170.61 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ c_less(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5504]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24982,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.61 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 170.28/170.61 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24981]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5498,plain,
% 170.28/170.61 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11155_5) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24969,plain,
% 170.28/170.61 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | ~ c_lessequals(c_times(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5498]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24970,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.28/170.61 | c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24969]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5492,plain,
% 170.28/170.61 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11156_5) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24957,plain,
% 170.28/170.61 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5492]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24958,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.28/170.61 | ~ c_lessequals(X1,c_divide(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24957]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5486,plain,
% 170.28/170.61 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11157_5) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24945,plain,
% 170.28/170.61 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ c_less(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5486]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24946,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.61 | c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 170.28/170.61 | ~ c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24945]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5480,plain,
% 170.28/170.61 ( c_less(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | ~ c_less(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11158_5) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24933,plain,
% 170.28/170.61 ( c_less(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | ~ c_less(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5480]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24934,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.61 | ~ c_less(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),X3,X0)
% 170.28/170.61 | c_less(X2,c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24933]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5474,plain,
% 170.28/170.61 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11159_5) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24921,plain,
% 170.28/170.61 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.61 | ~ c_lessequals(X0,c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5474]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24922,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.28/170.61 | ~ c_lessequals(X1,c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24921]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5468,plain,
% 170.28/170.61 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11160_5) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24909,plain,
% 170.28/170.61 ( c_lessequals(X0,c_times(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.61 | ~ c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X2,X3),X3),X1,X3)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.61 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5468]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24910,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ c_lessequals(c_divide(X1,c_Numeral_Onumber__of(X2,X0),X0),X3,X0)
% 170.28/170.61 | c_lessequals(X1,c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.61 | ~ c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24909]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5444,plain,
% 170.28/170.61 ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 170.28/170.61 | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 170.28/170.61 | ~ c_Wellfounded__Recursion_Owf(X2,X3) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11177_1) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24861,plain,
% 170.28/170.61 ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 170.28/170.61 | c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 170.28/170.61 | ~ c_Wellfounded__Recursion_Owf(X2,X3) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5444]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24862,plain,
% 170.28/170.61 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 170.28/170.61 | ~ c_Wellfounded__Recursion_Owf(X1,X3)
% 170.28/170.61 | ~ c_Wellfounded__Recursion_Owf(X0,X2) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24861]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5441,plain,
% 170.28/170.61 ( ~ c_Relation_Otrans(X0,X1)
% 170.28/170.61 | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 170.28/170.61 | ~ c_Relation_Otrans(X2,X3) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11178_1) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24855,plain,
% 170.28/170.61 ( ~ c_Relation_Otrans(X0,X1)
% 170.28/170.61 | c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X2,X0,X3,X1),tc_prod(X3,X1))
% 170.28/170.61 | ~ c_Relation_Otrans(X2,X3) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5441]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24856,plain,
% 170.28/170.61 ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 170.28/170.61 | ~ c_Relation_Otrans(X1,X3)
% 170.28/170.61 | ~ c_Relation_Otrans(X0,X2) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24855]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5435,plain,
% 170.28/170.61 ( c_less(X0,X1,tc_nat)
% 170.28/170.61 | ~ c_less(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 170.28/170.61 | ~ c_less(c_1,X2,X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 170.28/170.61 | ~ class_Power_Orecpower(X3) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11179_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24843,plain,
% 170.28/170.61 ( c_less(X0,X1,tc_nat)
% 170.28/170.61 | ~ c_less(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 170.28/170.61 | ~ c_less(c_1,X2,X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 170.28/170.61 | ~ class_Power_Orecpower(X3) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5435]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24844,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.61 | ~ class_Power_Orecpower(X0)
% 170.28/170.61 | ~ c_less(c_1,X1,X0)
% 170.28/170.61 | ~ c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 170.28/170.61 | c_less(X2,X3,tc_nat) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24843]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5430,plain,
% 170.28/170.61 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.61 | ~ c_lessequals(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 170.28/170.61 | ~ c_less(c_1,X2,X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 170.28/170.61 | ~ class_Power_Orecpower(X3) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11180_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24833,plain,
% 170.28/170.61 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.61 | ~ c_lessequals(c_Nat_Opower(X2,X0,X3),c_Nat_Opower(X2,X1,X3),X3)
% 170.28/170.61 | ~ c_less(c_1,X2,X3)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 170.28/170.61 | ~ class_Power_Orecpower(X3) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5430]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24834,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.61 | ~ class_Power_Orecpower(X0)
% 170.28/170.61 | ~ c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 170.28/170.61 | c_lessequals(X2,X3,tc_nat)
% 170.28/170.61 | ~ c_less(c_1,X1,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24833]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5427,plain,
% 170.28/170.61 ( 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)
% 170.28/170.61 | ~ class_Ring__and__Field_Osemiring(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11181_2) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24827,plain,
% 170.28/170.61 ( 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)
% 170.28/170.61 | ~ class_Ring__and__Field_Osemiring(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5427]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24828,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Osemiring(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | 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) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24827]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5424,plain,
% 170.28/170.61 ( 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)
% 170.28/170.61 | ~ class_Ring__and__Field_Oring(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11182_2) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24821,plain,
% 170.28/170.61 ( 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)
% 170.28/170.61 | ~ class_Ring__and__Field_Oring(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5424]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24822,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oring(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | 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) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24821]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5421,plain,
% 170.28/170.61 ( 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)
% 170.28/170.61 | ~ class_Ring__and__Field_Osemiring(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11183_2) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24815,plain,
% 170.28/170.61 ( 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)
% 170.28/170.61 | ~ class_Ring__and__Field_Osemiring(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5421]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24816,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Osemiring(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | 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) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24815]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5418,plain,
% 170.28/170.61 ( 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)
% 170.28/170.61 | ~ class_Ring__and__Field_Oring(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11184_2) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24809,plain,
% 170.28/170.61 ( 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)
% 170.28/170.61 | ~ class_Ring__and__Field_Oring(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5418]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24810,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oring(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | 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) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24809]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5414,plain,
% 170.28/170.61 ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.61 | ~ 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)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11186_3) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24801,plain,
% 170.28/170.61 ( ~ c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.61 | ~ 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)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5414]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24802,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.61 | ~ c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.61 | ~ 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) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24801]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5407,plain,
% 170.28/170.61 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.61 | c_less(X2,c_0,X1)
% 170.28/170.61 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11187_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24787,plain,
% 170.28/170.61 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.61 | c_less(X2,c_0,X1)
% 170.28/170.61 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5407]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24788,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.61 | c_less(X2,c_0,X0)
% 170.28/170.61 | ~ c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24787]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5400,plain,
% 170.28/170.61 ( c_lessequals(X0,c_0,X1)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.61 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11188_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24773,plain,
% 170.28/170.61 ( c_lessequals(X0,c_0,X1)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.61 | ~ c_lessequals(X0,c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5400]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24774,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(X1,c_0,X0)
% 170.28/170.61 | ~ c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24773]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5393,plain,
% 170.28/170.61 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.61 | c_less(c_0,X2,X1)
% 170.28/170.61 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11189_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24759,plain,
% 170.28/170.61 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.61 | c_less(c_0,X2,X1)
% 170.28/170.61 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5393]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24760,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.61 | c_less(c_0,X2,X0)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.61 | ~ c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24759]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5386,plain,
% 170.28/170.61 ( c_lessequals(c_0,X0,X1)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.61 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11190_6) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24745,plain,
% 170.28/170.61 ( c_lessequals(c_0,X0,X1)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X2,X1),c_0,X1)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.61 | ~ c_lessequals(c_divide(X3,c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5386]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24746,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_0,X1,X0)
% 170.28/170.61 | ~ c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24745]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5381,plain,
% 170.28/170.61 ( 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)
% 170.28/170.61 | ~ c_less(c_0,X0,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11191_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24735,plain,
% 170.28/170.61 ( 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)
% 170.28/170.61 | ~ c_less(c_0,X0,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5381]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24736,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.61 | 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)
% 170.28/170.61 | ~ c_less(c_0,X1,X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24735]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5379,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ c_less(X1,X2,X0)
% 170.28/170.61 | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.28/170.61 | ~ c_less(X2,X1,X0) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11192_1) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24731,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ c_less(X1,X2,X0)
% 170.28/170.61 | c_less(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.28/170.61 | ~ c_less(X2,X1,X0) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5379]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24732,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.61 | ~ c_less(X3,X1,X0)
% 170.28/170.61 | ~ c_less(X1,X3,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24731]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5376,plain,
% 170.28/170.61 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ c_less(X0,X3,X2)
% 170.28/170.61 | ~ c_less(X3,X0,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11192_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24725,plain,
% 170.28/170.61 ( c_less(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ c_less(X0,X3,X2)
% 170.28/170.61 | ~ c_less(X3,X0,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5376]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24726,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_less(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.61 | ~ c_less(X1,X3,X0)
% 170.28/170.61 | ~ c_less(X3,X1,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24725]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5374,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ c_less(X1,X2,X0)
% 170.28/170.61 | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 170.28/170.61 | ~ c_less(X2,X1,X0) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11193_1) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24721,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ c_less(X1,X2,X0)
% 170.28/170.61 | c_less(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 170.28/170.61 | ~ c_less(X2,X1,X0) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5374]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24722,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.28/170.61 | ~ c_less(X3,X2,X0)
% 170.28/170.61 | ~ c_less(X2,X3,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24721]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5371,plain,
% 170.28/170.61 ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.61 | ~ c_less(X2,X3,X1)
% 170.28/170.61 | ~ c_less(X3,X2,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11193_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24715,plain,
% 170.28/170.61 ( c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.61 | ~ c_less(X2,X3,X1)
% 170.28/170.61 | ~ c_less(X3,X2,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5371]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24716,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.28/170.61 | ~ c_less(X2,X3,X0)
% 170.28/170.61 | ~ c_less(X3,X2,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24715]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5369,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.61 | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.28/170.61 | ~ c_lessequals(X2,X1,X0) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11194_1) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24711,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.61 | c_lessequals(c_times(X2,c_Numeral_Onumber__of(X3,X0),X0),c_times(X1,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.28/170.61 | ~ c_lessequals(X2,X1,X0) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5369]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24712,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.61 | ~ c_lessequals(X3,X1,X0)
% 170.28/170.61 | ~ c_lessequals(X1,X3,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24711]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5366,plain,
% 170.28/170.61 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ c_lessequals(X0,X3,X2)
% 170.28/170.61 | ~ c_lessequals(X3,X0,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11194_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24705,plain,
% 170.28/170.61 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | ~ c_lessequals(X0,X3,X2)
% 170.28/170.61 | ~ c_lessequals(X3,X0,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5366]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24706,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.61 | ~ c_lessequals(X1,X3,X0)
% 170.28/170.61 | ~ c_lessequals(X3,X1,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24705]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5364,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.61 | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 170.28/170.61 | ~ c_lessequals(X2,X1,X0) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11195_1) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24701,plain,
% 170.28/170.61 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.61 | c_lessequals(c_times(c_Numeral_Onumber__of(X3,X0),X2,X0),c_times(c_Numeral_Onumber__of(X3,X0),X1,X0),X0)
% 170.28/170.61 | ~ c_lessequals(X2,X1,X0) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5364]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24702,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.28/170.61 | ~ c_lessequals(X3,X2,X0)
% 170.28/170.61 | ~ c_lessequals(X2,X3,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24701]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5361,plain,
% 170.28/170.61 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.61 | ~ c_lessequals(X2,X3,X1)
% 170.28/170.61 | ~ c_lessequals(X3,X2,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11195_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24695,plain,
% 170.28/170.61 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.61 | ~ c_lessequals(X2,X3,X1)
% 170.28/170.61 | ~ c_lessequals(X3,X2,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5361]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24696,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.28/170.61 | ~ c_lessequals(X2,X3,X0)
% 170.28/170.61 | ~ c_lessequals(X3,X2,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24695]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5356,plain,
% 170.28/170.61 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.61 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.61 | ~ c_less(X2,X3,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11196_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24685,plain,
% 170.28/170.61 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.61 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.61 | ~ c_less(X2,X3,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5356]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24686,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.61 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.28/170.61 | ~ c_less(X2,X3,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24685]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5351,plain,
% 170.28/170.61 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.61 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.61 | ~ c_less(X3,X2,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11197_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24675,plain,
% 170.28/170.61 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.61 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.61 | ~ c_less(X3,X2,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5351]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24676,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.61 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.28/170.61 | ~ c_less(X3,X2,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24675]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5346,plain,
% 170.28/170.61 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.61 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.61 | ~ c_less(X2,X3,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11198_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24665,plain,
% 170.28/170.61 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.61 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.61 | ~ c_less(X2,X3,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5346]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24666,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.61 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.28/170.61 | ~ c_less(X2,X3,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24665]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5341,plain,
% 170.28/170.61 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.61 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.61 | ~ c_less(X3,X2,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11199_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24655,plain,
% 170.28/170.61 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.61 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.61 | ~ c_less(X3,X2,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5341]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24656,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.61 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.28/170.61 | ~ c_less(X3,X2,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24655]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5336,plain,
% 170.28/170.61 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.61 | ~ c_lessequals(X0,X3,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11200_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24645,plain,
% 170.28/170.61 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.61 | ~ c_lessequals(X0,X3,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5336]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24646,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.61 | ~ c_lessequals(X1,X3,X0)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24645]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5331,plain,
% 170.28/170.61 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ c_lessequals(X3,X0,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11201_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24635,plain,
% 170.28/170.61 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.61 | ~ c_lessequals(X3,X0,X2)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.28/170.61 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5331]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24636,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.61 | ~ c_lessequals(X3,X1,X0)
% 170.28/170.61 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0) ),
% 170.28/170.61 inference(rewriting,[status(thm)],[c_24635]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_5326,plain,
% 170.28/170.61 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.61 | ~ c_lessequals(X2,X3,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11202_4) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24625,plain,
% 170.28/170.61 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.61 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.61 | ~ c_lessequals(X2,X3,X1)
% 170.28/170.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.61 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.61 inference(copy,[status(esa)],[c_5326]) ).
% 170.28/170.61
% 170.28/170.61 cnf(c_24626,plain,
% 170.28/170.61 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.61 | ~ class_Numeral_Onumber(X0)
% 170.28/170.61 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.28/170.62 | ~ c_lessequals(X2,X3,X0)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24625]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5321,plain,
% 170.28/170.62 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_lessequals(X3,X2,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11203_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24615,plain,
% 170.28/170.62 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_lessequals(X3,X2,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5321]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24616,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.62 | ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.28/170.62 | ~ c_lessequals(X3,X2,X0)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24615]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5308,plain,
% 170.28/170.62 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11210_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24589,plain,
% 170.28/170.62 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_less(c_times(X2,c_Numeral_Onumber__of(X0,X1),X1),c_times(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5308]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24590,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.62 | ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | c_less(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_times(X3,c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24589]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5303,plain,
% 170.28/170.62 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11211_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24579,plain,
% 170.28/170.62 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_less(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5303]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24580,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.62 | ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | c_less(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24579]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5298,plain,
% 170.28/170.62 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.28/170.62 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11212_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24569,plain,
% 170.28/170.62 ( c_lessequals(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_times(X3,c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X2)
% 170.28/170.62 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5298]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24570,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.62 | ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_lessequals(c_times(X1,c_Numeral_Onumber__of(X2,X0),X0),c_times(X3,c_Numeral_Onumber__of(X2,X0),X0),X0)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X2,X0),X0)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24569]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5293,plain,
% 170.28/170.62 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11213_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24559,plain,
% 170.28/170.62 ( c_lessequals(c_times(c_Numeral_Onumber__of(X0,X1),X2,X1),c_times(c_Numeral_Onumber__of(X0,X1),X3,X1),X1)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5293]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24560,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.28/170.62 | ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_lessequals(c_times(c_Numeral_Onumber__of(X1,X0),X2,X0),c_times(c_Numeral_Onumber__of(X1,X0),X3,X0),X0)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24559]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5290,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.62 | ~ c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_0,X2,tc_nat) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11214_2) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24553,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.62 | ~ c_lessequals(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_0,X2,tc_nat) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5290]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24554,plain,
% 170.28/170.62 ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 170.28/170.62 | c_lessequals(X0,X2,tc_nat)
% 170.28/170.62 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24553]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5287,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.62 | ~ c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_0,X2,tc_nat) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11215_2) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24547,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.62 | ~ c_lessequals(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_0,X2,tc_nat) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5287]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24548,plain,
% 170.28/170.62 ( ~ c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 170.28/170.62 | c_lessequals(X1,X2,tc_nat)
% 170.28/170.62 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24547]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5279,plain,
% 170.28/170.62 ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 170.28/170.62 | ~ 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)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11220_3) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24531,plain,
% 170.28/170.62 ( c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 170.28/170.62 | ~ 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)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5279]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24532,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 170.28/170.62 | ~ 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) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24531]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5273,plain,
% 170.28/170.62 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11221_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24519,plain,
% 170.28/170.62 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5273]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24520,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24519]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5267,plain,
% 170.28/170.62 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11222_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24507,plain,
% 170.28/170.62 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5267]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24508,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 170.28/170.62 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24507]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5261,plain,
% 170.28/170.62 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11223_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24495,plain,
% 170.28/170.62 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5261]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24496,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24495]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5255,plain,
% 170.28/170.62 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11224_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24483,plain,
% 170.28/170.62 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5255]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24484,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24483]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5236,plain,
% 170.28/170.62 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_less(c_0,X2,X1)
% 170.28/170.62 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11236_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24445,plain,
% 170.28/170.62 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_less(c_0,X2,X1)
% 170.28/170.62 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5236]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24446,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 170.28/170.62 | c_less(c_0,X2,X0)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24445]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5230,plain,
% 170.28/170.62 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_less(X2,c_0,X1)
% 170.28/170.62 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11237_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24433,plain,
% 170.28/170.62 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_less(X2,c_0,X1)
% 170.28/170.62 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5230]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24434,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 170.28/170.62 | c_less(X2,c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24433]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5224,plain,
% 170.28/170.62 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_lessequals(c_0,X2,X1)
% 170.28/170.62 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11238_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24421,plain,
% 170.28/170.62 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_lessequals(c_0,X2,X1)
% 170.28/170.62 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5224]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24422,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 170.28/170.62 | c_lessequals(c_0,X2,X0)
% 170.28/170.62 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24421]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5218,plain,
% 170.28/170.62 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_lessequals(X2,c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11239_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24409,plain,
% 170.28/170.62 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_lessequals(X2,c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5218]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24410,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 170.28/170.62 | c_lessequals(X2,c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24409]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5212,plain,
% 170.28/170.62 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_less(X2,c_0,X1)
% 170.28/170.62 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11240_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24397,plain,
% 170.28/170.62 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_less(X2,c_0,X1)
% 170.28/170.62 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5212]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24398,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 170.28/170.62 | c_less(X2,c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24397]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5206,plain,
% 170.28/170.62 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_less(c_0,X2,X1)
% 170.28/170.62 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11241_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24385,plain,
% 170.28/170.62 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_less(c_0,X2,X1)
% 170.28/170.62 | ~ c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5206]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24386,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | c_less(c_0,X2,X0)
% 170.28/170.62 | ~ c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24385]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5200,plain,
% 170.28/170.62 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_lessequals(X2,c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11242_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24373,plain,
% 170.28/170.62 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_lessequals(X2,c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5200]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24374,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 170.28/170.62 | c_lessequals(X2,c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24373]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5194,plain,
% 170.28/170.62 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_lessequals(c_0,X2,X1)
% 170.28/170.62 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11243_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24361,plain,
% 170.28/170.62 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_lessequals(c_0,X2,X1)
% 170.28/170.62 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5194]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24362,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | c_lessequals(c_0,X2,X0)
% 170.28/170.62 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24361]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5175,plain,
% 170.28/170.62 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.62 | ~ c_less(X2,c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11248_6) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24323,plain,
% 170.28/170.62 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.62 | ~ c_less(X2,c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5175]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24324,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | ~ c_less(X2,c_0,X0)
% 170.28/170.62 | c_less(X2,c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24323]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5168,plain,
% 170.28/170.62 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.28/170.62 | ~ c_lessequals(X0,c_0,X3)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.62 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11249_6) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24309,plain,
% 170.28/170.62 ( c_lessequals(X0,c_divide(X1,c_Numeral_Onumber__of(X2,X3),X3),X3)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X2,X3),c_0,X3)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X2,X3),X3)
% 170.28/170.62 | ~ c_lessequals(X0,c_0,X3)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X3)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X3)
% 170.28/170.62 | ~ class_Numeral_Onumber(X3) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5168]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24310,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | ~ c_lessequals(X1,c_0,X0)
% 170.28/170.62 | c_lessequals(X1,c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X0)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24309]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5161,plain,
% 170.28/170.62 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.62 | ~ c_less(c_0,X3,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.62 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11250_6) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24295,plain,
% 170.28/170.62 ( c_less(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.62 | ~ c_less(c_0,X3,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.62 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5161]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24296,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | ~ c_less(c_0,X2,X0)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | c_less(c_divide(X3,c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24295]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5154,plain,
% 170.28/170.62 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.62 | ~ c_lessequals(c_0,X3,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.62 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11251_6) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24281,plain,
% 170.28/170.62 ( c_lessequals(c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2),X3,X2)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X1,X2),c_0,X2)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.62 | ~ c_lessequals(c_0,X3,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.62 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5154]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24282,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | ~ c_lessequals(c_0,X1,X0)
% 170.28/170.62 | c_lessequals(c_divide(X2,c_Numeral_Onumber__of(X3,X0),X0),X1,X0)
% 170.28/170.62 | c_less(c_0,c_Numeral_Onumber__of(X3,X0),X0)
% 170.28/170.62 | c_less(c_Numeral_Onumber__of(X3,X0),c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24281]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5152,plain,
% 170.28/170.62 ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.62 | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.62 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11258_1) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24277,plain,
% 170.28/170.62 ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.62 | c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.62 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5152]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24278,plain,
% 170.28/170.62 ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.62 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.62 | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24277]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5133,plain,
% 170.28/170.62 ( c_less(c_0,X0,X1)
% 170.28/170.62 | c_less(X0,c_0,X1)
% 170.28/170.62 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11267_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24239,plain,
% 170.28/170.62 ( c_less(c_0,X0,X1)
% 170.28/170.62 | c_less(X0,c_0,X1)
% 170.28/170.62 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5133]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24240,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | ~ c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 170.28/170.62 | c_less(c_0,X2,X0)
% 170.28/170.62 | c_less(X2,c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24239]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5127,plain,
% 170.28/170.62 ( c_lessequals(c_0,X0,X1)
% 170.28/170.62 | c_lessequals(X0,c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11268_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24227,plain,
% 170.28/170.62 ( c_lessequals(c_0,X0,X1)
% 170.28/170.62 | c_lessequals(X0,c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5127]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24228,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | ~ c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 170.28/170.62 | c_lessequals(c_0,X2,X0)
% 170.28/170.62 | c_lessequals(X2,c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24227]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5121,plain,
% 170.28/170.62 ( c_less(c_0,X0,X1)
% 170.28/170.62 | c_less(X0,c_0,X1)
% 170.28/170.62 | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11269_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24215,plain,
% 170.28/170.62 ( c_less(c_0,X0,X1)
% 170.28/170.62 | c_less(X0,c_0,X1)
% 170.28/170.62 | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5121]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24216,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_less(c_0,X1,X0)
% 170.28/170.62 | ~ c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 170.28/170.62 | c_less(X1,c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24215]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5115,plain,
% 170.28/170.62 ( c_lessequals(c_0,X0,X1)
% 170.28/170.62 | c_lessequals(X0,c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11270_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24203,plain,
% 170.28/170.62 ( c_lessequals(c_0,X0,X1)
% 170.28/170.62 | c_lessequals(X0,c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X1),X0,X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5115]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24204,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_lessequals(c_0,X1,X0)
% 170.28/170.62 | ~ c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 170.28/170.62 | c_lessequals(X1,c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24203]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5113,plain,
% 170.28/170.62 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.62 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.62 | c_lessequals(c_SetInterval_OatLeastLessThan(X3,X1,X0),c_SetInterval_OatLeastLessThan(X4,X2,X0),tc_set(X0))
% 170.28/170.62 | ~ c_lessequals(X4,X3,X0) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11272_1) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24199,plain,
% 170.28/170.62 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.62 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.62 | c_lessequals(c_SetInterval_OatLeastLessThan(X3,X1,X0),c_SetInterval_OatLeastLessThan(X4,X2,X0),tc_set(X0))
% 170.28/170.62 | ~ c_lessequals(X4,X3,X0) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5113]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24200,plain,
% 170.28/170.62 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.62 | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 170.28/170.62 | ~ c_lessequals(X2,X4,X0)
% 170.28/170.62 | ~ c_lessequals(X3,X1,X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24199]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5101,plain,
% 170.28/170.62 ( c_less(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 170.28/170.62 | ~ c_less(c_1,X0,X2)
% 170.28/170.62 | ~ c_less(X1,X3,tc_nat)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 170.28/170.62 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11275_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24175,plain,
% 170.28/170.62 ( c_less(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 170.28/170.62 | ~ c_less(c_1,X0,X2)
% 170.28/170.62 | ~ c_less(X1,X3,tc_nat)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 170.28/170.62 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5101]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24176,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.62 | ~ class_Power_Orecpower(X0)
% 170.28/170.62 | ~ c_less(c_1,X1,X0)
% 170.28/170.62 | c_less(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 170.28/170.62 | ~ c_less(X2,X3,tc_nat) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24175]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5096,plain,
% 170.28/170.62 ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 170.28/170.62 | ~ c_lessequals(X1,X3,tc_nat)
% 170.28/170.62 | ~ c_less(c_1,X0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 170.28/170.62 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11276_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24165,plain,
% 170.28/170.62 ( c_lessequals(c_Nat_Opower(X0,X1,X2),c_Nat_Opower(X0,X3,X2),X2)
% 170.28/170.62 | ~ c_lessequals(X1,X3,tc_nat)
% 170.28/170.62 | ~ c_less(c_1,X0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__semidom(X2)
% 170.28/170.62 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5096]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24166,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.62 | ~ class_Power_Orecpower(X0)
% 170.28/170.62 | c_lessequals(c_Nat_Opower(X1,X2,X0),c_Nat_Opower(X1,X3,X0),X0)
% 170.28/170.62 | ~ c_lessequals(X2,X3,tc_nat)
% 170.28/170.62 | ~ c_less(c_1,X1,X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24165]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5090,plain,
% 170.28/170.62 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 170.28/170.62 | ~ 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)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11278_3) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24153,plain,
% 170.28/170.62 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 170.28/170.62 | ~ 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)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5090]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24154,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.62 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 170.28/170.62 | ~ 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) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24153]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5082,plain,
% 170.28/170.62 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | ~ c_less(X2,c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11280_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24137,plain,
% 170.28/170.62 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | ~ c_less(X2,c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5082]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24138,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 170.28/170.62 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | ~ c_less(X2,c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24137]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5076,plain,
% 170.28/170.62 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_less(c_0,X2,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11281_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24125,plain,
% 170.28/170.62 ( c_less(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_less(c_0,X2,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5076]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24126,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | c_less(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 170.28/170.62 | ~ c_less(c_0,X2,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24125]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5070,plain,
% 170.28/170.62 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | ~ c_lessequals(X2,c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11282_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24113,plain,
% 170.28/170.62 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | ~ c_lessequals(X2,c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5070]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24114,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 170.28/170.62 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.62 | ~ c_lessequals(X2,c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24113]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5064,plain,
% 170.28/170.62 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_lessequals(c_0,X2,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11283_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24101,plain,
% 170.28/170.62 ( c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),X1)
% 170.28/170.62 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_lessequals(c_0,X2,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5064]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24102,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | c_lessequals(c_0,c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),X0)
% 170.28/170.62 | ~ c_lessequals(c_0,X2,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24101]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5058,plain,
% 170.28/170.62 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | ~ c_less(c_0,X2,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11284_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24089,plain,
% 170.28/170.62 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | ~ c_less(c_0,X2,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5058]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24090,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | ~ c_less(c_0,X1,X0)
% 170.28/170.62 | ~ c_less(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 170.28/170.62 | c_less(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24089]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5052,plain,
% 170.28/170.62 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_less(X2,c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11285_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24077,plain,
% 170.28/170.62 ( c_less(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_less(X2,c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5052]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24078,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | c_less(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 170.28/170.62 | ~ c_less(X2,c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24077]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5046,plain,
% 170.28/170.62 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_0,X2,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11286_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24065,plain,
% 170.28/170.62 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_0,X2,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5046]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24066,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | ~ c_lessequals(c_0,X1,X0)
% 170.28/170.62 | ~ c_lessequals(c_Numeral_Onumber__of(X2,X0),c_0,X0)
% 170.28/170.62 | c_lessequals(c_divide(c_Numeral_Onumber__of(X2,X0),X1,X0),c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24065]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5040,plain,
% 170.28/170.62 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_lessequals(X2,c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11287_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24053,plain,
% 170.28/170.62 ( c_lessequals(c_divide(c_Numeral_Onumber__of(X0,X1),X2,X1),c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ c_lessequals(X2,c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5040]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24054,plain,
% 170.28/170.62 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.62 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | c_lessequals(c_divide(c_Numeral_Onumber__of(X1,X0),X2,X0),c_0,X0)
% 170.28/170.62 | ~ c_lessequals(X2,c_0,X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24053]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5034,plain,
% 170.28/170.62 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.62 | c_less(c_0,X1,X2)
% 170.28/170.62 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.62 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11288_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24041,plain,
% 170.28/170.62 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.62 | c_less(c_0,X1,X2)
% 170.28/170.62 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.62 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5034]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24042,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Power_Orecpower(X0)
% 170.28/170.62 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 170.28/170.62 | c_less(c_0,X2,X0)
% 170.28/170.62 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24041]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5029,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 170.28/170.62 | ~ c_less(X1,c_Main_OMin__gr__iff__1(X0,X1,X2),X2)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.62 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11289_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24031,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 170.28/170.62 | ~ c_less(X1,c_Main_OMin__gr__iff__1(X0,X1,X2),X2)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.62 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5029]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24032,plain,
% 170.28/170.62 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.62 | c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 170.28/170.62 | ~ c_less(X1,c_Main_OMin__gr__iff__1(X2,X1,X0),X0)
% 170.28/170.62 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.62 | X2 = c_emptyset ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24031]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5024,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 170.28/170.62 | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X0,X1,X2),X2)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.62 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11290_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24021,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 170.28/170.62 | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X0,X1,X2),X2)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.62 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5024]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24022,plain,
% 170.28/170.62 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.62 | c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 170.28/170.62 | ~ c_lessequals(X1,c_Main_OMin__ge__iff__1(X2,X1,X0),X0)
% 170.28/170.62 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.62 | X2 = c_emptyset ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24021]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5019,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 170.28/170.62 | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.62 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11291_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24011,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 170.28/170.62 | ~ c_less(c_Main_OMax__less__iff__1(X0,X2,X1),X2,X1)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.62 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5019]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24012,plain,
% 170.28/170.62 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.62 | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 170.28/170.62 | ~ c_less(c_Main_OMax__less__iff__1(X1,X2,X0),X2,X0)
% 170.28/170.62 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.62 | X1 = c_emptyset ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24011]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5014,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 170.28/170.62 | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.62 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11292_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24001,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 170.28/170.62 | ~ c_lessequals(c_Main_OMax__le__iff__1(X0,X2,X1),X2,X1)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.62 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5014]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_24002,plain,
% 170.28/170.62 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.62 | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 170.28/170.62 | ~ c_lessequals(c_Main_OMax__le__iff__1(X1,X2,X0),X2,X0)
% 170.28/170.62 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.62 | X1 = c_emptyset ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_24001]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5009,plain,
% 170.28/170.62 ( c_lessequals(c_0,X0,X1)
% 170.28/170.62 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11297_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23991,plain,
% 170.28/170.62 ( c_lessequals(c_0,X0,X1)
% 170.28/170.62 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5009]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23992,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Power_Orecpower(X0)
% 170.28/170.62 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 170.28/170.62 | c_lessequals(c_0,X2,X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23991]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5004,plain,
% 170.28/170.62 ( c_lessequals(X0,c_0,X1)
% 170.28/170.62 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11298_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23981,plain,
% 170.28/170.62 ( c_lessequals(X0,c_0,X1)
% 170.28/170.62 | c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5004]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23982,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Power_Orecpower(X0)
% 170.28/170.62 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 170.28/170.62 | c_lessequals(X2,c_0,X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23981]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_5001,plain,
% 170.28/170.62 ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.62 | ~ c_less(X0,X2,tc_nat) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11299_2) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23975,plain,
% 170.28/170.62 ( c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.62 | ~ c_less(X0,X2,tc_nat) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_5001]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23976,plain,
% 170.28/170.62 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.62 | c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(X1,X2,tc_nat) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23975]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4998,plain,
% 170.28/170.62 ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_0,X0,tc_nat)
% 170.28/170.62 | ~ c_less(X1,X2,tc_nat) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11300_2) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23969,plain,
% 170.28/170.62 ( c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_0,X0,tc_nat)
% 170.28/170.62 | ~ c_less(X1,X2,tc_nat) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4998]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23970,plain,
% 170.28/170.62 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.62 | c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(X1,X2,tc_nat) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23969]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4986,plain,
% 170.28/170.62 ( 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)
% 170.28/170.62 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11311_3) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23945,plain,
% 170.28/170.62 ( 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)
% 170.28/170.62 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4986]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23946,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.62 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 170.28/170.62 | 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) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23945]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4979,plain,
% 170.28/170.62 ( c_less(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_1,c_divide(X1,X0,X2),X2)
% 170.28/170.62 | ~ c_less(c_0,X0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11314_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23931,plain,
% 170.28/170.62 ( c_less(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_1,c_divide(X1,X0,X2),X2)
% 170.28/170.62 | ~ c_less(c_0,X0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4979]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23932,plain,
% 170.28/170.62 ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.62 | ~ c_less(c_0,X1,X2)
% 170.28/170.62 | c_less(X1,X0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23931]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4974,plain,
% 170.28/170.62 ( c_less(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.62 | ~ c_less(X1,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11315_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23921,plain,
% 170.28/170.62 ( c_less(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.62 | ~ c_less(X1,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4974]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23922,plain,
% 170.28/170.62 ( ~ c_less(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.62 | ~ c_less(X1,c_0,X2)
% 170.28/170.62 | c_less(X0,X1,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23921]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4969,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_lessequals(c_1,c_divide(X1,X0,X2),X2)
% 170.28/170.62 | ~ c_less(c_0,X0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11316_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23911,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_lessequals(c_1,c_divide(X1,X0,X2),X2)
% 170.28/170.62 | ~ c_less(c_0,X0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4969]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23912,plain,
% 170.28/170.62 ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.62 | c_lessequals(X1,X0,X2)
% 170.28/170.62 | ~ c_less(c_0,X1,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23911]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4964,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.62 | ~ c_less(X1,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11317_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23901,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.62 | ~ c_less(X1,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4964]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23902,plain,
% 170.28/170.62 ( ~ c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.62 | c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_less(X1,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23901]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4959,plain,
% 170.28/170.62 ( c_less(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.62 | ~ c_less(c_0,X1,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11318_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23891,plain,
% 170.28/170.62 ( c_less(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.62 | ~ c_less(c_0,X1,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4959]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23892,plain,
% 170.28/170.62 ( ~ c_less(c_0,X0,X1)
% 170.28/170.62 | ~ c_less(c_divide(X2,X0,X1),c_1,X1)
% 170.28/170.62 | c_less(X2,X0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23891]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4954,plain,
% 170.28/170.62 ( c_less(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_divide(X1,X0,X2),c_1,X2)
% 170.28/170.62 | ~ c_less(X0,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11319_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23881,plain,
% 170.28/170.62 ( c_less(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_divide(X1,X0,X2),c_1,X2)
% 170.28/170.62 | ~ c_less(X0,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4954]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23882,plain,
% 170.28/170.62 ( ~ c_less(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.62 | ~ c_less(X1,c_0,X2)
% 170.28/170.62 | c_less(X1,X0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23881]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4949,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.62 | ~ c_less(c_0,X1,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11320_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23871,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.62 | ~ c_less(c_0,X1,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4949]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23872,plain,
% 170.28/170.62 ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.62 | c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_0,X1,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23871]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4944,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_lessequals(c_divide(X1,X0,X2),c_1,X2)
% 170.28/170.62 | ~ c_less(X0,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11321_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23861,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_lessequals(c_divide(X1,X0,X2),c_1,X2)
% 170.28/170.62 | ~ c_less(X0,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4944]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23862,plain,
% 170.28/170.62 ( ~ c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.62 | c_lessequals(X1,X0,X2)
% 170.28/170.62 | ~ c_less(X1,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23861]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4935,plain,
% 170.28/170.62 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.62 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 170.28/170.62 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11324_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23843,plain,
% 170.28/170.62 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.62 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 170.28/170.62 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4935]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23844,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Power_Orecpower(X0)
% 170.28/170.62 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 170.28/170.62 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23843]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4931,plain,
% 170.28/170.62 ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ 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)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11325_3) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23835,plain,
% 170.28/170.62 ( c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | ~ 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)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4931]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23836,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.62 | c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.62 | ~ 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) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23835]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4922,plain,
% 170.28/170.62 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.62 | c_less(c_0,c_0,X1)
% 170.28/170.62 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11328_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23817,plain,
% 170.28/170.62 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.62 | c_less(c_0,c_0,X1)
% 170.28/170.62 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4922]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23818,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Power_Orecpower(X0)
% 170.28/170.62 | c_less(c_0,c_0,X0)
% 170.28/170.62 | ~ c_less(c_0,c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 170.28/170.62 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23817]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4919,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.62 | ~ c_less(X1,c_0,X0)
% 170.28/170.62 | c_less(X1,X2,X0)
% 170.28/170.62 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.62 | ~ c_less(X2,c_0,X0) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11329_2) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23811,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.62 | ~ c_less(X1,c_0,X0)
% 170.28/170.62 | c_less(X1,X2,X0)
% 170.28/170.62 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.62 | ~ c_less(X2,c_0,X0) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4919]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23812,plain,
% 170.28/170.62 ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.62 | ~ c_less(X2,c_0,X1)
% 170.28/170.62 | ~ c_less(X0,c_0,X1)
% 170.28/170.62 | c_less(X2,X0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23811]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4917,plain,
% 170.28/170.62 ( c_less(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 170.28/170.62 | ~ c_less(X1,c_0,X2)
% 170.28/170.62 | ~ c_less(X0,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11329_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23807,plain,
% 170.28/170.62 ( c_less(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 170.28/170.62 | ~ c_less(X1,c_0,X2)
% 170.28/170.62 | ~ c_less(X0,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4917]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23808,plain,
% 170.28/170.62 ( ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.62 | ~ c_less(X0,c_0,X1)
% 170.28/170.62 | ~ c_less(X2,c_0,X1)
% 170.28/170.62 | c_less(X2,X0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23807]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4914,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.62 | ~ c_less(c_0,X1,X0)
% 170.28/170.62 | c_less(X1,X2,X0)
% 170.28/170.62 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.62 | ~ c_less(c_0,X2,X0) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11330_2) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23801,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.62 | ~ c_less(c_0,X1,X0)
% 170.28/170.62 | c_less(X1,X2,X0)
% 170.28/170.62 | ~ c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.62 | ~ c_less(c_0,X2,X0) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4914]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23802,plain,
% 170.28/170.62 ( ~ c_less(c_0,X0,X1)
% 170.28/170.62 | ~ c_less(c_0,X2,X1)
% 170.28/170.62 | ~ c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.62 | c_less(X0,X2,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23801]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4912,plain,
% 170.28/170.62 ( c_less(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 170.28/170.62 | ~ c_less(c_0,X1,X2)
% 170.28/170.62 | ~ c_less(c_0,X0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11330_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23797,plain,
% 170.28/170.62 ( c_less(X0,X1,X2)
% 170.28/170.62 | ~ c_less(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 170.28/170.62 | ~ c_less(c_0,X1,X2)
% 170.28/170.62 | ~ c_less(c_0,X0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4912]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23798,plain,
% 170.28/170.62 ( ~ c_less(c_0,X0,X1)
% 170.28/170.62 | ~ c_less(c_0,X2,X1)
% 170.28/170.62 | ~ c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.62 | c_less(X2,X0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23797]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4909,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.62 | ~ c_less(X1,c_0,X0)
% 170.28/170.62 | c_lessequals(X1,X2,X0)
% 170.28/170.62 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.62 | ~ c_less(X2,c_0,X0) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11331_2) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23791,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.62 | ~ c_less(X1,c_0,X0)
% 170.28/170.62 | c_lessequals(X1,X2,X0)
% 170.28/170.62 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.62 | ~ c_less(X2,c_0,X0) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4909]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23792,plain,
% 170.28/170.62 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.62 | c_lessequals(X2,X0,X1)
% 170.28/170.62 | ~ c_less(X2,c_0,X1)
% 170.28/170.62 | ~ c_less(X0,c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23791]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4907,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 170.28/170.62 | ~ c_less(X1,c_0,X2)
% 170.28/170.62 | ~ c_less(X0,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11331_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23787,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 170.28/170.62 | ~ c_less(X1,c_0,X2)
% 170.28/170.62 | ~ c_less(X0,c_0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4907]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23788,plain,
% 170.28/170.62 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.62 | c_lessequals(X2,X0,X1)
% 170.28/170.62 | ~ c_less(X0,c_0,X1)
% 170.28/170.62 | ~ c_less(X2,c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23787]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4904,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.62 | ~ c_less(c_0,X1,X0)
% 170.28/170.62 | c_lessequals(X1,X2,X0)
% 170.28/170.62 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.62 | ~ c_less(c_0,X2,X0) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11332_2) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23781,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.62 | ~ c_less(c_0,X1,X0)
% 170.28/170.62 | c_lessequals(X1,X2,X0)
% 170.28/170.62 | ~ c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.62 | ~ c_less(c_0,X2,X0) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4904]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23782,plain,
% 170.28/170.62 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.62 | c_lessequals(X2,X0,X1)
% 170.28/170.62 | ~ c_less(c_0,X2,X1)
% 170.28/170.62 | ~ c_less(c_0,X0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23781]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4902,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 170.28/170.62 | ~ c_less(c_0,X1,X2)
% 170.28/170.62 | ~ c_less(c_0,X0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11332_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23777,plain,
% 170.28/170.62 ( c_lessequals(X0,X1,X2)
% 170.28/170.62 | ~ c_lessequals(c_HOL_Oinverse(X1,X2),c_HOL_Oinverse(X0,X2),X2)
% 170.28/170.62 | ~ c_less(c_0,X1,X2)
% 170.28/170.62 | ~ c_less(c_0,X0,X2)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4902]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23778,plain,
% 170.28/170.62 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.62 | c_lessequals(X2,X0,X1)
% 170.28/170.62 | ~ c_less(c_0,X0,X1)
% 170.28/170.62 | ~ c_less(c_0,X2,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23777]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4891,plain,
% 170.28/170.62 ( X0 = c_0
% 170.28/170.62 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 170.28/170.62 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.62 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11336_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23755,plain,
% 170.28/170.62 ( X0 = c_0
% 170.28/170.62 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 170.28/170.62 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.62 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4891]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23756,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Power_Orecpower(X0)
% 170.28/170.62 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 170.28/170.62 | X2 = c_0 ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23755]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4883,plain,
% 170.28/170.62 ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 170.28/170.62 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.62 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11340_3) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23739,plain,
% 170.28/170.62 ( ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 170.28/170.62 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.62 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4883]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23740,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Power_Orecpower(X0)
% 170.28/170.62 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.62 | ~ c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23739]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4876,plain,
% 170.28/170.62 ( X0 = c_0
% 170.28/170.62 | c_lessequals(X0,c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11342_4) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23725,plain,
% 170.28/170.62 ( X0 = c_0
% 170.28/170.62 | c_lessequals(X0,c_0,X1)
% 170.28/170.62 | ~ c_lessequals(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4876]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23726,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Power_Orecpower(X0)
% 170.28/170.62 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 170.28/170.62 | c_lessequals(X1,c_0,X0)
% 170.28/170.62 | X1 = c_0 ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23725]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4868,plain,
% 170.28/170.62 ( c_less(X0,c_0,X1)
% 170.28/170.62 | ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11345_3) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23709,plain,
% 170.28/170.62 ( c_less(X0,c_0,X1)
% 170.28/170.62 | ~ c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X2,tc_nat),X1),c_0,X1)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4868]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23710,plain,
% 170.28/170.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.62 | ~ class_Power_Orecpower(X0)
% 170.28/170.62 | ~ c_less(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 170.28/170.62 | c_less(X1,c_0,X0) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23709]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4847,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_less(X1,X2,X3)
% 170.28/170.62 | ~ c_less(X1,c_Finite__Set_OMin(X0,X3),X3)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 170.28/170.62 | ~ c_in(X2,X0,X3)
% 170.28/170.62 | ~ class_Orderings_Olinorder(X3) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11353_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23667,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_less(X1,X2,X3)
% 170.28/170.62 | ~ c_less(X1,c_Finite__Set_OMin(X0,X3),X3)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 170.28/170.62 | ~ c_in(X2,X0,X3)
% 170.28/170.62 | ~ class_Orderings_Olinorder(X3) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4847]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23668,plain,
% 170.28/170.62 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.62 | ~ c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 170.28/170.62 | c_less(X1,X3,X0)
% 170.28/170.62 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.62 | ~ c_in(X3,X2,X0)
% 170.28/170.62 | X2 = c_emptyset ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23667]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4841,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_lessequals(X1,X2,X3)
% 170.28/170.62 | ~ c_lessequals(X1,c_Finite__Set_OMin(X0,X3),X3)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 170.28/170.62 | ~ c_in(X2,X0,X3)
% 170.28/170.62 | ~ class_Orderings_Olinorder(X3) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11354_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23655,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_lessequals(X1,X2,X3)
% 170.28/170.62 | ~ c_lessequals(X1,c_Finite__Set_OMin(X0,X3),X3)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 170.28/170.62 | ~ c_in(X2,X0,X3)
% 170.28/170.62 | ~ class_Orderings_Olinorder(X3) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4841]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23656,plain,
% 170.28/170.62 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.62 | ~ c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 170.28/170.62 | c_lessequals(X1,X3,X0)
% 170.28/170.62 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.62 | ~ c_in(X3,X2,X0)
% 170.28/170.62 | X2 = c_emptyset ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23655]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4835,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_less(X1,X2,X3)
% 170.28/170.62 | ~ c_less(c_Finite__Set_OMax(X0,X3),X2,X3)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 170.28/170.62 | ~ c_in(X1,X0,X3)
% 170.28/170.62 | ~ class_Orderings_Olinorder(X3) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11355_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23643,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_less(X1,X2,X3)
% 170.28/170.62 | ~ c_less(c_Finite__Set_OMax(X0,X3),X2,X3)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 170.28/170.62 | ~ c_in(X1,X0,X3)
% 170.28/170.62 | ~ class_Orderings_Olinorder(X3) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4835]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23644,plain,
% 170.28/170.62 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.62 | ~ c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 170.28/170.62 | c_less(X3,X2,X0)
% 170.28/170.62 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.62 | ~ c_in(X3,X1,X0)
% 170.28/170.62 | X1 = c_emptyset ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23643]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4829,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_lessequals(X1,X2,X3)
% 170.28/170.62 | ~ c_lessequals(c_Finite__Set_OMax(X0,X3),X2,X3)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 170.28/170.62 | ~ c_in(X1,X0,X3)
% 170.28/170.62 | ~ class_Orderings_Olinorder(X3) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11356_5) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23631,plain,
% 170.28/170.62 ( X0 = c_emptyset
% 170.28/170.62 | c_lessequals(X1,X2,X3)
% 170.28/170.62 | ~ c_lessequals(c_Finite__Set_OMax(X0,X3),X2,X3)
% 170.28/170.62 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X3))
% 170.28/170.62 | ~ c_in(X1,X0,X3)
% 170.28/170.62 | ~ class_Orderings_Olinorder(X3) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4829]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23632,plain,
% 170.28/170.62 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.62 | ~ c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 170.28/170.62 | c_lessequals(X3,X2,X0)
% 170.28/170.62 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.62 | ~ c_in(X3,X1,X0)
% 170.28/170.62 | X1 = c_emptyset ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23631]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4826,plain,
% 170.28/170.62 ( 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)
% 170.28/170.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11357_2) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23625,plain,
% 170.28/170.62 ( 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)
% 170.28/170.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4826]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23626,plain,
% 170.28/170.62 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.62 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.62 | 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) ),
% 170.28/170.62 inference(rewriting,[status(thm)],[c_23625]) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_4822,plain,
% 170.28/170.62 ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | 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)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.62 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11358_3) ).
% 170.28/170.62
% 170.28/170.62 cnf(c_23617,plain,
% 170.28/170.62 ( c_lessequals(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.62 | 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)
% 170.28/170.62 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.62 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.62 inference(copy,[status(esa)],[c_4822]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23618,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.63 | c_lessequals(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.63 | 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) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23617]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4817,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.63 | ~ c_less(X1,X2,X0)
% 170.28/170.63 | ~ c_less(X1,c_0,X0)
% 170.28/170.63 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.63 | ~ c_less(X2,c_0,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11360_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23607,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.63 | ~ c_less(X1,X2,X0)
% 170.28/170.63 | ~ c_less(X1,c_0,X0)
% 170.28/170.63 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.63 | ~ c_less(X2,c_0,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4817]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23608,plain,
% 170.28/170.63 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.63 | ~ c_less(X2,c_0,X1)
% 170.28/170.63 | ~ c_less(X0,c_0,X1)
% 170.28/170.63 | ~ c_less(X2,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23607]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4812,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.63 | ~ c_less(X1,X2,X0)
% 170.28/170.63 | ~ c_less(c_0,X1,X0)
% 170.28/170.63 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.63 | ~ c_less(c_0,X2,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11361_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23597,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.63 | ~ c_less(X1,X2,X0)
% 170.28/170.63 | ~ c_less(c_0,X1,X0)
% 170.28/170.63 | c_less(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.63 | ~ c_less(c_0,X2,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4812]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23598,plain,
% 170.28/170.63 ( ~ c_less(c_0,X0,X1)
% 170.28/170.63 | ~ c_less(c_0,X2,X1)
% 170.28/170.63 | c_less(c_HOL_Oinverse(X2,X1),c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.63 | ~ c_less(X0,X2,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23597]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4809,plain,
% 170.28/170.63 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.63 | ~ c_less(c_0,X0,X1)
% 170.28/170.63 | ~ c_less(c_0,X2,X1)
% 170.28/170.63 | ~ c_less(X2,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11361_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23591,plain,
% 170.28/170.63 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.63 | ~ c_less(c_0,X0,X1)
% 170.28/170.63 | ~ c_less(c_0,X2,X1)
% 170.28/170.63 | ~ c_less(X2,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4809]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23592,plain,
% 170.28/170.63 ( ~ c_less(c_0,X0,X1)
% 170.28/170.63 | ~ c_less(c_0,X2,X1)
% 170.28/170.63 | c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.63 | ~ c_less(X2,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23591]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4806,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.63 | ~ c_less(X1,c_0,X0)
% 170.28/170.63 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.63 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.63 | ~ c_less(X2,c_0,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11362_2) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23585,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.63 | ~ c_less(X1,c_0,X0)
% 170.28/170.63 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.63 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.63 | ~ c_less(X2,c_0,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4806]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23586,plain,
% 170.28/170.63 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.63 | ~ c_lessequals(X2,X0,X1)
% 170.28/170.63 | ~ c_less(X2,c_0,X1)
% 170.28/170.63 | ~ c_less(X0,c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23585]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4801,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.63 | ~ c_less(c_0,X1,X0)
% 170.28/170.63 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.63 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.63 | ~ c_less(c_0,X2,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11363_2) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23575,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.63 | ~ c_less(c_0,X1,X0)
% 170.28/170.63 | c_lessequals(c_HOL_Oinverse(X2,X0),c_HOL_Oinverse(X1,X0),X0)
% 170.28/170.63 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.63 | ~ c_less(c_0,X2,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4801]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23576,plain,
% 170.28/170.63 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.63 | ~ c_lessequals(X2,X0,X1)
% 170.28/170.63 | ~ c_less(c_0,X2,X1)
% 170.28/170.63 | ~ c_less(c_0,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23575]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4791,plain,
% 170.28/170.63 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11366_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23555,plain,
% 170.28/170.63 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4791]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23556,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.63 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23555]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4774,plain,
% 170.28/170.63 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.63 | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
% 170.28/170.63 | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11372_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23521,plain,
% 170.28/170.63 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.63 | c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2))
% 170.28/170.63 | ~ c_lessequals(X3,X1,tc_set(X2)) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4774]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23522,plain,
% 170.28/170.63 ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 170.28/170.63 | ~ c_lessequals(X1,X3,tc_set(X2))
% 170.28/170.63 | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23521]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4771,plain,
% 170.28/170.63 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.63 | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2))
% 170.28/170.63 | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11373_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23515,plain,
% 170.28/170.63 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.63 | c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2))
% 170.28/170.63 | ~ c_lessequals(X0,X3,tc_set(X2)) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4771]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23516,plain,
% 170.28/170.63 ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 170.28/170.63 | ~ c_lessequals(X0,X2,tc_set(X3))
% 170.28/170.63 | ~ c_lessequals(X0,X1,tc_set(X3)) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23515]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4762,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 170.28/170.63 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11376_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23497,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 170.28/170.63 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4762]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23498,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Power_Orecpower(X0)
% 170.28/170.63 | ~ c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),c_0,X0)
% 170.28/170.63 | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23497]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4760,plain,
% 170.28/170.63 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.63 | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.63 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11379_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23493,plain,
% 170.28/170.63 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.63 | c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.63 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4760]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23494,plain,
% 170.28/170.63 ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.63 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23493]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4753,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.63 | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 170.28/170.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_lessequals(X1,c_0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11380_5) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23479,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.63 | c_lessequals(c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2),c_0,X2)
% 170.28/170.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_lessequals(X1,c_0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4753]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23480,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Power_Orecpower(X0)
% 170.28/170.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | c_lessequals(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 170.28/170.63 | ~ c_lessequals(X2,c_0,X0)
% 170.28/170.63 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23479]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4736,plain,
% 170.28/170.63 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_less(c_0,X1,X2)
% 170.28/170.63 | ~ c_less(X1,X0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11385_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23445,plain,
% 170.28/170.63 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_less(c_0,X1,X2)
% 170.28/170.63 | ~ c_less(X1,X0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4736]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23446,plain,
% 170.28/170.63 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_less(c_0,X1,X2)
% 170.28/170.63 | ~ c_less(X1,X0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23445]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4731,plain,
% 170.28/170.63 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_less(X1,c_0,X2)
% 170.28/170.63 | ~ c_less(X0,X1,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11386_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23435,plain,
% 170.28/170.63 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_less(X1,c_0,X2)
% 170.28/170.63 | ~ c_less(X0,X1,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4731]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23436,plain,
% 170.28/170.63 ( c_less(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_less(X1,c_0,X2)
% 170.28/170.63 | ~ c_less(X0,X1,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23435]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4726,plain,
% 170.28/170.63 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.63 | ~ c_less(c_0,X1,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11387_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23425,plain,
% 170.28/170.63 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.63 | ~ c_less(c_0,X1,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4726]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23426,plain,
% 170.28/170.63 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.63 | ~ c_less(c_0,X1,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23425]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4721,plain,
% 170.28/170.63 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_lessequals(X0,X1,X2)
% 170.28/170.63 | ~ c_less(X1,c_0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11388_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23415,plain,
% 170.28/170.63 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_lessequals(X0,X1,X2)
% 170.28/170.63 | ~ c_less(X1,c_0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4721]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23416,plain,
% 170.28/170.63 ( c_lessequals(c_1,c_divide(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_lessequals(X0,X1,X2)
% 170.28/170.63 | ~ c_less(X1,c_0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23415]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4716,plain,
% 170.28/170.63 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.63 | ~ c_less(c_0,X1,X2)
% 170.28/170.63 | ~ c_less(X0,X1,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11389_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23405,plain,
% 170.28/170.63 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.63 | ~ c_less(c_0,X1,X2)
% 170.28/170.63 | ~ c_less(X0,X1,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4716]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23406,plain,
% 170.28/170.63 ( ~ c_less(c_0,X0,X1)
% 170.28/170.63 | c_less(c_divide(X2,X0,X1),c_1,X1)
% 170.28/170.63 | ~ c_less(X2,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23405]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4711,plain,
% 170.28/170.63 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.63 | ~ c_less(X1,c_0,X2)
% 170.28/170.63 | ~ c_less(X1,X0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11390_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23395,plain,
% 170.28/170.63 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.63 | ~ c_less(X1,c_0,X2)
% 170.28/170.63 | ~ c_less(X1,X0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4711]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23396,plain,
% 170.28/170.63 ( c_less(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.63 | ~ c_less(X1,c_0,X2)
% 170.28/170.63 | ~ c_less(X1,X0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23395]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4706,plain,
% 170.28/170.63 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.63 | ~ c_lessequals(X0,X1,X2)
% 170.28/170.63 | ~ c_less(c_0,X1,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11391_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23385,plain,
% 170.28/170.63 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.63 | ~ c_lessequals(X0,X1,X2)
% 170.28/170.63 | ~ c_less(c_0,X1,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4706]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23386,plain,
% 170.28/170.63 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.63 | ~ c_lessequals(X0,X1,X2)
% 170.28/170.63 | ~ c_less(c_0,X1,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23385]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4701,plain,
% 170.28/170.63 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.63 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.63 | ~ c_less(X1,c_0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11392_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23375,plain,
% 170.28/170.63 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.63 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.63 | ~ c_less(X1,c_0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4701]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23376,plain,
% 170.28/170.63 ( c_lessequals(c_divide(X0,X1,X2),c_1,X2)
% 170.28/170.63 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.63 | ~ c_less(X1,c_0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X2) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23375]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4688,plain,
% 170.28/170.63 ( X0 = c_emptyset
% 170.28/170.63 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 170.28/170.63 | c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.63 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11397_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23349,plain,
% 170.28/170.63 ( X0 = c_emptyset
% 170.28/170.63 | c_less(X1,c_Finite__Set_OMin(X0,X2),X2)
% 170.28/170.63 | c_in(c_Main_OMin__gr__iff__1(X0,X1,X2),X0,X2)
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.63 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4688]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23350,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | c_less(X1,c_Finite__Set_OMin(X2,X0),X0)
% 170.28/170.63 | c_in(c_Main_OMin__gr__iff__1(X2,X1,X0),X2,X0)
% 170.28/170.63 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.63 | X2 = c_emptyset ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23349]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4683,plain,
% 170.28/170.63 ( X0 = c_emptyset
% 170.28/170.63 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 170.28/170.63 | c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.63 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11398_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23339,plain,
% 170.28/170.63 ( X0 = c_emptyset
% 170.28/170.63 | c_lessequals(X1,c_Finite__Set_OMin(X0,X2),X2)
% 170.28/170.63 | c_in(c_Main_OMin__ge__iff__1(X0,X1,X2),X0,X2)
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.63 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4683]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23340,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | c_lessequals(X1,c_Finite__Set_OMin(X2,X0),X0)
% 170.28/170.63 | c_in(c_Main_OMin__ge__iff__1(X2,X1,X0),X2,X0)
% 170.28/170.63 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.63 | X2 = c_emptyset ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23339]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4678,plain,
% 170.28/170.63 ( X0 = c_emptyset
% 170.28/170.63 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 170.28/170.63 | c_in(c_Main_OMax__less__iff__1(X0,X2,X1),X0,X1)
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.63 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11399_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23329,plain,
% 170.28/170.63 ( X0 = c_emptyset
% 170.28/170.63 | c_less(c_Finite__Set_OMax(X0,X1),X2,X1)
% 170.28/170.63 | c_in(c_Main_OMax__less__iff__1(X0,X2,X1),X0,X1)
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.63 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4678]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23330,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | c_less(c_Finite__Set_OMax(X1,X0),X2,X0)
% 170.28/170.63 | c_in(c_Main_OMax__less__iff__1(X1,X2,X0),X1,X0)
% 170.28/170.63 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.63 | X1 = c_emptyset ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23329]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4673,plain,
% 170.28/170.63 ( X0 = c_emptyset
% 170.28/170.63 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 170.28/170.63 | c_in(c_Main_OMax__le__iff__1(X0,X2,X1),X0,X1)
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.63 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11400_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23319,plain,
% 170.28/170.63 ( X0 = c_emptyset
% 170.28/170.63 | c_lessequals(c_Finite__Set_OMax(X0,X1),X2,X1)
% 170.28/170.63 | c_in(c_Main_OMax__le__iff__1(X0,X2,X1),X0,X1)
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.63 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4673]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23320,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | c_lessequals(c_Finite__Set_OMax(X1,X0),X2,X0)
% 170.28/170.63 | c_in(c_Main_OMax__le__iff__1(X1,X2,X0),X1,X0)
% 170.28/170.63 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.63 | X1 = c_emptyset ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23319]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4669,plain,
% 170.28/170.63 ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 170.28/170.63 | ~ c_less(X1,X0,X3)
% 170.28/170.63 | ~ c_less(X0,X2,X3)
% 170.28/170.63 | ~ class_Orderings_Oord(X3) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11401_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23311,plain,
% 170.28/170.63 ( c_in(X0,c_SetInterval_OgreaterThanLessThan(X1,X2,X3),X3)
% 170.28/170.63 | ~ c_less(X1,X0,X3)
% 170.28/170.63 | ~ c_less(X0,X2,X3)
% 170.28/170.63 | ~ class_Orderings_Oord(X3) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4669]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23312,plain,
% 170.28/170.63 ( ~ class_Orderings_Oord(X0)
% 170.28/170.63 | ~ c_less(X1,X2,X0)
% 170.28/170.63 | ~ c_less(X2,X3,X0)
% 170.28/170.63 | c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X3,X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23311]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4665,plain,
% 170.28/170.63 ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 170.28/170.63 | ~ c_lessequals(X0,X2,X3)
% 170.28/170.63 | ~ c_less(X1,X0,X3)
% 170.28/170.63 | ~ class_Orderings_Oord(X3) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11402_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23303,plain,
% 170.28/170.63 ( c_in(X0,c_SetInterval_OgreaterThanAtMost(X1,X2,X3),X3)
% 170.28/170.63 | ~ c_lessequals(X0,X2,X3)
% 170.28/170.63 | ~ c_less(X1,X0,X3)
% 170.28/170.63 | ~ class_Orderings_Oord(X3) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4665]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23304,plain,
% 170.28/170.63 ( ~ class_Orderings_Oord(X0)
% 170.28/170.63 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.63 | ~ c_less(X3,X1,X0)
% 170.28/170.63 | c_in(X1,c_SetInterval_OgreaterThanAtMost(X3,X2,X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23303]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4661,plain,
% 170.28/170.63 ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 170.28/170.63 | ~ c_lessequals(X1,X0,X3)
% 170.28/170.63 | ~ c_less(X0,X2,X3)
% 170.28/170.63 | ~ class_Orderings_Oord(X3) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11403_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23295,plain,
% 170.28/170.63 ( c_in(X0,c_SetInterval_OatLeastLessThan(X1,X2,X3),X3)
% 170.28/170.63 | ~ c_lessequals(X1,X0,X3)
% 170.28/170.63 | ~ c_less(X0,X2,X3)
% 170.28/170.63 | ~ class_Orderings_Oord(X3) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4661]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23296,plain,
% 170.28/170.63 ( ~ class_Orderings_Oord(X0)
% 170.28/170.63 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.63 | ~ c_less(X2,X3,X0)
% 170.28/170.63 | c_in(X2,c_SetInterval_OatLeastLessThan(X1,X3,X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23295]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4657,plain,
% 170.28/170.63 ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 170.28/170.63 | ~ c_lessequals(X1,X0,X3)
% 170.28/170.63 | ~ c_lessequals(X0,X2,X3)
% 170.28/170.63 | ~ class_Orderings_Oord(X3) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11404_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23287,plain,
% 170.28/170.63 ( c_in(X0,c_SetInterval_OatLeastAtMost(X1,X2,X3),X3)
% 170.28/170.63 | ~ c_lessequals(X1,X0,X3)
% 170.28/170.63 | ~ c_lessequals(X0,X2,X3)
% 170.28/170.63 | ~ class_Orderings_Oord(X3) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4657]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23288,plain,
% 170.28/170.63 ( ~ class_Orderings_Oord(X0)
% 170.28/170.63 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.63 | ~ c_lessequals(X2,X3,X0)
% 170.28/170.63 | c_in(X2,c_SetInterval_OatLeastAtMost(X1,X3,X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23287]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4655,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.63 | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 170.28/170.63 | ~ c_lessequals(X3,X2,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11405_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23283,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.63 | c_lessequals(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 170.28/170.63 | ~ c_lessequals(X3,X2,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4655]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23284,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 170.28/170.63 | ~ c_lessequals(X2,X3,X0)
% 170.28/170.63 | ~ c_lessequals(X1,X3,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23283]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4651,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.63 | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 170.28/170.63 | ~ c_lessequals(X1,X3,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11406_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23275,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.63 | c_lessequals(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 170.28/170.63 | ~ c_lessequals(X1,X3,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4651]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23276,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 170.28/170.63 | ~ c_lessequals(X1,X3,X0)
% 170.28/170.63 | ~ c_lessequals(X1,X2,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23275]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4647,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | ~ c_less(X1,X2,X0)
% 170.28/170.63 | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 170.28/170.63 | ~ c_less(X1,X3,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11407_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23267,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | ~ c_less(X1,X2,X0)
% 170.28/170.63 | c_less(X1,c_Orderings_Omin(X3,X2,X0),X0)
% 170.28/170.63 | ~ c_less(X1,X3,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4647]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23268,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 170.28/170.63 | ~ c_less(X1,X3,X0)
% 170.28/170.63 | ~ c_less(X1,X2,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23267]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4643,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | ~ c_less(X1,X2,X0)
% 170.28/170.63 | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 170.28/170.63 | ~ c_less(X3,X2,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11408_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23259,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | ~ c_less(X1,X2,X0)
% 170.28/170.63 | c_less(c_Orderings_Omax(X3,X1,X0),X2,X0)
% 170.28/170.63 | ~ c_less(X3,X2,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4643]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23260,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 170.28/170.63 | ~ c_less(X2,X3,X0)
% 170.28/170.63 | ~ c_less(X1,X3,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23259]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4626,plain,
% 170.28/170.63 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 170.28/170.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11414_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23225,plain,
% 170.28/170.63 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 170.28/170.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4626]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23226,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Power_Orecpower(X0)
% 170.28/170.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 170.28/170.63 | ~ c_less(c_0,X2,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23225]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4621,plain,
% 170.28/170.63 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 170.28/170.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_0,X0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11415_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23215,plain,
% 170.28/170.63 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 170.28/170.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_0,X0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4621]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23216,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Power_Orecpower(X0)
% 170.28/170.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 170.28/170.63 | ~ c_lessequals(c_0,X2,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23215]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4616,plain,
% 170.28/170.63 ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 170.28/170.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_less(X0,c_0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11416_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23205,plain,
% 170.28/170.63 ( c_less(c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),c_0,X2)
% 170.28/170.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_less(X0,c_0,X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4616]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23206,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Power_Orecpower(X0)
% 170.28/170.63 | c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | c_less(c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 170.28/170.63 | ~ c_less(X2,c_0,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23205]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4612,plain,
% 170.28/170.63 ( X0 = c_0
% 170.28/170.63 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X0,X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11417_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23197,plain,
% 170.28/170.63 ( X0 = c_0
% 170.28/170.63 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X1),X0,X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4612]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23198,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Power_Orecpower(X0)
% 170.28/170.63 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,X0),X1,X0),X0)
% 170.28/170.63 | X1 = c_0 ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23197]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4594,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_ONats,X0)
% 170.28/170.63 | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11423_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23161,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_ONats,X0)
% 170.28/170.63 | c_in(c_times(X2,X1,X0),c_IntDef_ONats,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4594]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23162,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.28/170.63 | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_ONats,X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_ONats,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23161]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4590,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_ONats,X0)
% 170.28/170.63 | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11424_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23153,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_ONats,X0)
% 170.28/170.63 | c_in(c_plus(X2,X1,X0),c_IntDef_ONats,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4590]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23154,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.28/170.63 | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_ONats,X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_ONats,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23153]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4586,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_OInts,X0)
% 170.28/170.63 | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11425_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23145,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_OInts,X0)
% 170.28/170.63 | c_in(c_times(X2,X1,X0),c_IntDef_OInts,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4586]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23146,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.63 | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_OInts,X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23145]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4582,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_OInts,X0)
% 170.28/170.63 | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11426_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23137,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_OInts,X0)
% 170.28/170.63 | c_in(c_minus(X2,X1,X0),c_IntDef_OInts,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4582]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23138,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.63 | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_OInts,X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23137]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4578,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_OInts,X0)
% 170.28/170.63 | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11427_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23129,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_OInts,X0)
% 170.28/170.63 | c_in(c_plus(X2,X1,X0),c_IntDef_OInts,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4578]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23130,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.63 | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 170.28/170.63 | ~ c_in(X2,c_IntDef_OInts,X0)
% 170.28/170.63 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23129]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4572,plain,
% 170.28/170.63 ( 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)
% 170.28/170.63 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11428_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23117,plain,
% 170.28/170.63 ( 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)
% 170.28/170.63 | ~ c_less(c_1,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4572]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23118,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.63 | ~ c_less(c_1,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.63 | 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) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23117]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4565,plain,
% 170.28/170.63 ( ~ c_List_Odistinct(X0,X1)
% 170.28/170.63 | c_List_Odistinct(c_append(X2,X0,X1),X1)
% 170.28/170.63 | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 170.28/170.63 | ~ c_List_Odistinct(X2,X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11431_2) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23103,plain,
% 170.28/170.63 ( ~ c_List_Odistinct(X0,X1)
% 170.28/170.63 | c_List_Odistinct(c_append(X2,X0,X1),X1)
% 170.28/170.63 | c_inter(c_List_Oset(X2,X1),c_List_Oset(X0,X1),X1) != c_emptyset
% 170.28/170.63 | ~ c_List_Odistinct(X2,X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4565]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23104,plain,
% 170.28/170.63 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_List_Odistinct(X1,X2)
% 170.28/170.63 | ~ c_List_Odistinct(X0,X2)
% 170.28/170.63 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23103]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4564,plain,
% 170.28/170.63 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 170.28/170.63 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 170.28/170.63 | ~ c_List_Odistinct(X0,X2)
% 170.28/170.63 | ~ c_List_Odistinct(X1,X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11431_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23101,plain,
% 170.28/170.63 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 170.28/170.63 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset
% 170.28/170.63 | ~ c_List_Odistinct(X0,X2)
% 170.28/170.63 | ~ c_List_Odistinct(X1,X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4564]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23102,plain,
% 170.28/170.63 ( c_List_Odistinct(c_append(X0,X1,X2),X2)
% 170.28/170.63 | ~ c_List_Odistinct(X0,X2)
% 170.28/170.63 | ~ c_List_Odistinct(X1,X2)
% 170.28/170.63 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) != c_emptyset ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23101]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4562,plain,
% 170.28/170.63 ( ~ c_in(X0,X1,X2) | c_in(X0,c_inter(X3,X1,X2),X2) | ~ c_in(X0,X3,X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11432_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23097,plain,
% 170.28/170.63 ( ~ c_in(X0,X1,X2) | c_in(X0,c_inter(X3,X1,X2),X2) | ~ c_in(X0,X3,X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4562]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23098,plain,
% 170.28/170.63 ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) | ~ c_in(X0,X1,X3) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23097]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4538,plain,
% 170.28/170.63 ( c_less(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.63 | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11443_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23049,plain,
% 170.28/170.63 ( c_less(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.63 | ~ c_less(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4538]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23050,plain,
% 170.28/170.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber(X0)
% 170.28/170.63 | ~ c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 170.28/170.63 | c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23049]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4534,plain,
% 170.28/170.63 ( c_lessequals(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.63 | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11444_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23041,plain,
% 170.28/170.63 ( c_lessequals(c_uminus(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.63 | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X2,X1),X1),X0,X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4534]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23042,plain,
% 170.28/170.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber(X0)
% 170.28/170.63 | ~ c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 170.28/170.63 | c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23041]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4530,plain,
% 170.28/170.63 ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 170.28/170.63 | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11445_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23033,plain,
% 170.28/170.63 ( c_less(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 170.28/170.63 | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4530]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23034,plain,
% 170.28/170.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber(X0)
% 170.28/170.63 | c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 170.28/170.63 | ~ c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23033]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4526,plain,
% 170.28/170.63 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 170.28/170.63 | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11446_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23025,plain,
% 170.28/170.63 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_uminus(X2,X1),X1)
% 170.28/170.63 | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4526]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23026,plain,
% 170.28/170.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber(X0)
% 170.28/170.63 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 170.28/170.63 | ~ c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23025]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4515,plain,
% 170.28/170.63 ( X0 = X1
% 170.28/170.63 | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 170.28/170.63 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 170.28/170.63 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11454_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23003,plain,
% 170.28/170.63 ( X0 = X1
% 170.28/170.63 | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 170.28/170.63 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 170.28/170.63 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4515]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_23004,plain,
% 170.28/170.63 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 170.28/170.63 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 170.28/170.63 | c_IntDef_OAbs__Integ(X0) != c_IntDef_OAbs__Integ(X1)
% 170.28/170.63 | X0 = X1 ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_23003]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4501,plain,
% 170.28/170.63 ( ~ c_lessequals(c_1,X0,tc_nat)
% 170.28/170.63 | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11461_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22975,plain,
% 170.28/170.63 ( ~ c_lessequals(c_1,X0,tc_nat)
% 170.28/170.63 | c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4501]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22976,plain,
% 170.28/170.63 ( c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_1,X1,tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22975]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4500,plain,
% 170.28/170.63 ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_1,X0,tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11461_2) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22973,plain,
% 170.28/170.63 ( c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_1,X0,tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4500]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22974,plain,
% 170.28/170.63 ( c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_1,X0,tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_1,X1,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22973]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4491,plain,
% 170.28/170.63 ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11470_2) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22955,plain,
% 170.28/170.63 ( c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4491]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22956,plain,
% 170.28/170.63 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.63 | c_less(c_minus(X1,X0,tc_nat),X1,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22955]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4488,plain,
% 170.28/170.63 ( c_less(c_div(X0,X1,tc_nat),X0,tc_nat)
% 170.28/170.63 | ~ c_less(c_1,X1,tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11471_2) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22949,plain,
% 170.28/170.63 ( c_less(c_div(X0,X1,tc_nat),X0,tc_nat)
% 170.28/170.63 | ~ c_less(c_1,X1,tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4488]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22950,plain,
% 170.28/170.63 ( ~ c_less(c_1,X0,tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.63 | c_less(c_div(X1,X0,tc_nat),X1,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22949]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4484,plain,
% 170.28/170.63 ( c_less(X0,c_0,X1)
% 170.28/170.63 | ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 170.28/170.63 | ~ class_Orderings_Olinorder(X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11476_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22941,plain,
% 170.28/170.63 ( c_less(X0,c_0,X1)
% 170.28/170.63 | ~ c_less(c_plus(X0,X0,X1),c_0,X1)
% 170.28/170.63 | ~ class_Orderings_Olinorder(X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4484]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22942,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.63 | ~ c_less(c_plus(X1,X1,X0),c_0,X0)
% 170.28/170.63 | c_less(X1,c_0,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22941]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4477,plain,
% 170.28/170.63 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.63 | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11479_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22927,plain,
% 170.28/170.63 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.63 | c_less(c_0,c_times(X1,X0,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4477]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22928,plain,
% 170.28/170.63 ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.63 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22927]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4419,plain,
% 170.28/170.63 ( ~ c_in(X0,X1,X2)
% 170.28/170.63 | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
% 170.28/170.63 | c_in(X0,X3,X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11499_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22811,plain,
% 170.28/170.63 ( ~ c_in(X0,X1,X2)
% 170.28/170.63 | c_in(X0,c_minus(X1,X3,tc_set(X2)),X2)
% 170.28/170.63 | c_in(X0,X3,X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4419]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22812,plain,
% 170.28/170.63 ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 170.28/170.63 | ~ c_in(X0,X1,X3)
% 170.28/170.63 | c_in(X0,X2,X3) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22811]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4414,plain,
% 170.28/170.63 ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 170.28/170.63 | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11500_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22801,plain,
% 170.28/170.63 ( c_less(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 170.28/170.63 | ~ c_less(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4414]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22802,plain,
% 170.28/170.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber(X0)
% 170.28/170.63 | c_less(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 170.28/170.63 | ~ c_less(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22801]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4410,plain,
% 170.28/170.63 ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 170.28/170.63 | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11501_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22793,plain,
% 170.28/170.63 ( c_lessequals(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X2,X1)
% 170.28/170.63 | ~ c_lessequals(c_uminus(X2,X1),c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4410]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22794,plain,
% 170.28/170.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber(X0)
% 170.28/170.63 | c_lessequals(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X2,X0)
% 170.28/170.63 | ~ c_lessequals(c_uminus(X2,X0),c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22793]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4406,plain,
% 170.28/170.63 ( c_less(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.63 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 170.28/170.63 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11502_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22785,plain,
% 170.28/170.63 ( c_less(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.63 | ~ c_less(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 170.28/170.63 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4406]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22786,plain,
% 170.28/170.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber(X0)
% 170.28/170.63 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 170.28/170.63 | c_less(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22785]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4402,plain,
% 170.28/170.63 ( c_lessequals(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.63 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 170.28/170.63 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11503_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22777,plain,
% 170.28/170.63 ( c_lessequals(X0,c_uminus(c_Numeral_Onumber__of(X1,X2),X2),X2)
% 170.28/170.63 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X2),c_uminus(X0,X2),X2)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 170.28/170.63 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4402]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22778,plain,
% 170.28/170.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber(X0)
% 170.28/170.63 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_uminus(X2,X0),X0)
% 170.28/170.63 | c_lessequals(X2,c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22777]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4398,plain,
% 170.28/170.63 ( c_less(c_0,X0,X1)
% 170.28/170.63 | ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11504_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22769,plain,
% 170.28/170.63 ( c_less(c_0,X0,X1)
% 170.28/170.63 | ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4398]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22770,plain,
% 170.28/170.63 ( ~ c_less(c_0,c_divide(c_1,X0,X1),X1)
% 170.28/170.63 | c_less(c_0,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22769]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4394,plain,
% 170.28/170.63 ( c_lessequals(c_0,X0,X1)
% 170.28/170.63 | ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11505_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22761,plain,
% 170.28/170.63 ( c_lessequals(c_0,X0,X1)
% 170.28/170.63 | ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4394]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22762,plain,
% 170.28/170.63 ( ~ c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 170.28/170.63 | c_lessequals(c_0,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22761]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4390,plain,
% 170.28/170.63 ( c_less(X0,c_0,X1)
% 170.28/170.63 | ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11506_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22753,plain,
% 170.28/170.63 ( c_less(X0,c_0,X1)
% 170.28/170.63 | ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4390]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22754,plain,
% 170.28/170.63 ( ~ c_less(c_divide(c_1,X0,X1),c_0,X1)
% 170.28/170.63 | c_less(X0,c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22753]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4386,plain,
% 170.28/170.63 ( c_lessequals(X0,c_0,X1)
% 170.28/170.63 | ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11507_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22745,plain,
% 170.28/170.63 ( c_lessequals(X0,c_0,X1)
% 170.28/170.63 | ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4386]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22746,plain,
% 170.28/170.63 ( ~ c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 170.28/170.63 | c_lessequals(X0,c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22745]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4381,plain,
% 170.28/170.63 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11509_2) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22735,plain,
% 170.28/170.63 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4381]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22736,plain,
% 170.28/170.63 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22735]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4380,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11509_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22733,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4380]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22734,plain,
% 170.28/170.63 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22733]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4376,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11510_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22725,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4376]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22726,plain,
% 170.28/170.63 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22725]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4362,plain,
% 170.28/170.63 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11516_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22697,plain,
% 170.28/170.63 ( ~ c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4362]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22698,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.63 | ~ c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22697]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4343,plain,
% 170.28/170.63 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11523_2) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22659,plain,
% 170.28/170.63 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4343]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22660,plain,
% 170.28/170.63 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22659]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4322,plain,
% 170.28/170.63 ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11534_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22617,plain,
% 170.28/170.63 ( c_less(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4322]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22618,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.63 | c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22617]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4317,plain,
% 170.28/170.63 ( c_lessequals(c_1,X0,tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11536_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22607,plain,
% 170.28/170.63 ( c_lessequals(c_1,X0,tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_Suc(c_0),c_times(X1,X0,tc_nat),tc_nat) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4317]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22608,plain,
% 170.28/170.63 ( ~ c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.63 | c_lessequals(c_1,X1,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22607]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4315,plain,
% 170.28/170.63 ( c_lessequals(c_1,X0,tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11537_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22603,plain,
% 170.28/170.63 ( c_lessequals(c_1,X0,tc_nat)
% 170.28/170.63 | ~ c_lessequals(c_Suc(c_0),c_times(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4315]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22604,plain,
% 170.28/170.63 ( ~ c_lessequals(c_1,c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.63 | c_lessequals(c_1,X0,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22603]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4303,plain,
% 170.28/170.63 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11540_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22579,plain,
% 170.28/170.63 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4303]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22580,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.63 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22579]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4297,plain,
% 170.28/170.63 ( c_inter(c_insert(X0,X1,X2),X3,X2) = c_emptyset
% 170.28/170.63 | c_in(X0,X3,X2)
% 170.28/170.63 | c_inter(X1,X3,X2) != c_emptyset ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11542_2) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22567,plain,
% 170.28/170.63 ( c_inter(c_insert(X0,X1,X2),X3,X2) = c_emptyset
% 170.28/170.63 | c_in(X0,X3,X2)
% 170.28/170.63 | c_inter(X1,X3,X2) != c_emptyset ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4297]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22568,plain,
% 170.28/170.63 ( c_in(X0,X1,X2)
% 170.28/170.63 | c_inter(c_insert(X0,X3,X2),X1,X2) = c_emptyset
% 170.28/170.63 | c_inter(X3,X1,X2) != c_emptyset ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22567]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4291,plain,
% 170.28/170.63 ( c_inter(X0,c_insert(X1,X2,X3),X3) = c_emptyset
% 170.28/170.63 | c_in(X1,X0,X3)
% 170.28/170.63 | c_inter(X0,X2,X3) != c_emptyset ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11544_2) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22555,plain,
% 170.28/170.63 ( c_inter(X0,c_insert(X1,X2,X3),X3) = c_emptyset
% 170.28/170.63 | c_in(X1,X0,X3)
% 170.28/170.63 | c_inter(X0,X2,X3) != c_emptyset ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4291]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22556,plain,
% 170.28/170.63 ( c_in(X0,X1,X2)
% 170.28/170.63 | c_inter(X1,c_insert(X0,X3,X2),X2) = c_emptyset
% 170.28/170.63 | c_inter(X1,X3,X2) != c_emptyset ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22555]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4282,plain,
% 170.28/170.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 170.28/170.63 | ~ c_less(c_Numeral_Onumber__of(X0,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11547_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22537,plain,
% 170.28/170.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 170.28/170.63 | ~ c_less(c_Numeral_Onumber__of(X0,X2),c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4282]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22538,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.63 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22537]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4260,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11557_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22493,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4260]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22494,plain,
% 170.28/170.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22493]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4256,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11558_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22485,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4256]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22486,plain,
% 170.28/170.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22485]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4248,plain,
% 170.28/170.63 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 170.28/170.63 | 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)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11561_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22469,plain,
% 170.28/170.63 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_1,X1)
% 170.28/170.63 | 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)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4248]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22470,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.63 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_1,X0)
% 170.28/170.63 | 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) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22469]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4239,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.63 | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 170.28/170.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11565_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22451,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.63 | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1),c_0,X1)
% 170.28/170.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4239]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22452,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Power_Orecpower(X0)
% 170.28/170.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | c_lessequals(c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0),c_0,X0)
% 170.28/170.63 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22451]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4219,plain,
% 170.28/170.63 ( X0 = c_0
% 170.28/170.63 | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 170.28/170.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11573_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22411,plain,
% 170.28/170.63 ( X0 = c_0
% 170.28/170.63 | c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 170.28/170.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4219]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22412,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Power_Orecpower(X0)
% 170.28/170.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | c_less(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0)
% 170.28/170.63 | X2 = c_0 ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22411]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4216,plain,
% 170.28/170.63 ( c_in(X0,X1,X2)
% 170.28/170.63 | ~ c_in(X0,c_Inter(X3,X2),X2)
% 170.28/170.63 | ~ c_in(X1,X3,tc_set(X2)) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11574_2) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22405,plain,
% 170.28/170.63 ( c_in(X0,X1,X2)
% 170.28/170.63 | ~ c_in(X0,c_Inter(X3,X2),X2)
% 170.28/170.63 | ~ c_in(X1,X3,tc_set(X2)) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4216]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22406,plain,
% 170.28/170.63 ( ~ c_in(X0,c_Inter(X1,X2),X2)
% 170.28/170.63 | ~ c_in(X3,X1,tc_set(X2))
% 170.28/170.63 | c_in(X0,X3,X2) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22405]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4202,plain,
% 170.28/170.63 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 170.28/170.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11579_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22377,plain,
% 170.28/170.63 ( c_lessequals(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 170.28/170.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.63 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4202]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22378,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Power_Orecpower(X0)
% 170.28/170.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | c_lessequals(c_0,c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22377]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4178,plain,
% 170.28/170.63 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11585_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22329,plain,
% 170.28/170.63 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4178]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22330,plain,
% 170.28/170.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22329]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4176,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11585_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22325,plain,
% 170.28/170.63 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4176]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22326,plain,
% 170.28/170.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22325]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4171,plain,
% 170.28/170.63 ( X0 = X1
% 170.28/170.63 | c_Nat_Opower(X2,X0,X3) != c_Nat_Opower(X2,X1,X3)
% 170.28/170.63 | ~ c_less(c_1,X2,X3)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 170.28/170.63 | ~ class_Power_Orecpower(X3) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11586_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22315,plain,
% 170.28/170.63 ( X0 = X1
% 170.28/170.63 | c_Nat_Opower(X2,X0,X3) != c_Nat_Opower(X2,X1,X3)
% 170.28/170.63 | ~ c_less(c_1,X2,X3)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__semidom(X3)
% 170.28/170.63 | ~ class_Power_Orecpower(X3) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4171]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22316,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.63 | ~ class_Power_Orecpower(X0)
% 170.28/170.63 | ~ c_less(c_1,X1,X0)
% 170.28/170.63 | c_Nat_Opower(X1,X2,X0) != c_Nat_Opower(X1,X3,X0)
% 170.28/170.63 | X2 = X3 ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22315]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4164,plain,
% 170.28/170.63 ( c_Orderings_Omax(X0,c_Finite__Set_OMin(X1,X2),X2) = X0
% 170.28/170.63 | X1 = c_emptyset
% 170.28/170.63 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.63 | ~ c_in(X0,X1,X2)
% 170.28/170.63 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11588_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22301,plain,
% 170.28/170.63 ( c_Orderings_Omax(X0,c_Finite__Set_OMin(X1,X2),X2) = X0
% 170.28/170.63 | X1 = c_emptyset
% 170.28/170.63 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.63 | ~ c_in(X0,X1,X2)
% 170.28/170.63 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4164]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22302,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.63 | ~ c_in(X2,X1,X0)
% 170.28/170.63 | c_Orderings_Omax(X2,c_Finite__Set_OMin(X1,X0),X0) = X2
% 170.28/170.63 | X1 = c_emptyset ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22301]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4159,plain,
% 170.28/170.63 ( c_Orderings_Omin(X0,c_Finite__Set_OMax(X1,X2),X2) = X0
% 170.28/170.63 | X1 = c_emptyset
% 170.28/170.63 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.63 | ~ c_in(X0,X1,X2)
% 170.28/170.63 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11589_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22291,plain,
% 170.28/170.63 ( c_Orderings_Omin(X0,c_Finite__Set_OMax(X1,X2),X2) = X0
% 170.28/170.63 | X1 = c_emptyset
% 170.28/170.63 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.63 | ~ c_in(X0,X1,X2)
% 170.28/170.63 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4159]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22292,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.63 | ~ c_in(X2,X1,X0)
% 170.28/170.63 | c_Orderings_Omin(X2,c_Finite__Set_OMax(X1,X0),X0) = X2
% 170.28/170.63 | X1 = c_emptyset ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22291]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4154,plain,
% 170.28/170.63 ( X0 = c_emptyset
% 170.28/170.63 | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.63 | ~ c_in(X2,X0,X1)
% 170.28/170.63 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11590_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22281,plain,
% 170.28/170.63 ( X0 = c_emptyset
% 170.28/170.63 | c_lessequals(c_Finite__Set_OMin(X0,X1),X2,X1)
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.63 | ~ c_in(X2,X0,X1)
% 170.28/170.63 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4154]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22282,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | c_lessequals(c_Finite__Set_OMin(X1,X0),X2,X0)
% 170.28/170.63 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.63 | ~ c_in(X2,X1,X0)
% 170.28/170.63 | X1 = c_emptyset ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22281]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4149,plain,
% 170.28/170.63 ( X0 = c_emptyset
% 170.28/170.63 | c_lessequals(X1,c_Finite__Set_OMax(X0,X2),X2)
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.63 | ~ c_in(X1,X0,X2)
% 170.28/170.63 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11591_4) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22271,plain,
% 170.28/170.63 ( X0 = c_emptyset
% 170.28/170.63 | c_lessequals(X1,c_Finite__Set_OMax(X0,X2),X2)
% 170.28/170.63 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.63 | ~ c_in(X1,X0,X2)
% 170.28/170.63 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4149]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22272,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | c_lessequals(X1,c_Finite__Set_OMax(X2,X0),X0)
% 170.28/170.63 | ~ c_in(X2,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.63 | ~ c_in(X1,X2,X0)
% 170.28/170.63 | X2 = c_emptyset ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22271]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4145,plain,
% 170.28/170.63 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11593_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22263,plain,
% 170.28/170.63 ( c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4145]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22264,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.63 | c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22263]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4143,plain,
% 170.28/170.63 ( 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)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11594_1) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22259,plain,
% 170.28/170.63 ( 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)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4143]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22260,plain,
% 170.28/170.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | 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) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22259]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4135,plain,
% 170.28/170.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11597_2) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22243,plain,
% 170.28/170.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_less(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4135]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22244,plain,
% 170.28/170.63 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22243]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4123,plain,
% 170.28/170.63 ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 170.28/170.63 | ~ c_less(X0,c_0,X1)
% 170.28/170.63 | ~ class_Orderings_Olinorder(X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11602_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22219,plain,
% 170.28/170.63 ( c_less(c_plus(X0,X0,X1),c_0,X1)
% 170.28/170.63 | ~ c_less(X0,c_0,X1)
% 170.28/170.63 | ~ class_Orderings_Olinorder(X1)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4123]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22220,plain,
% 170.28/170.63 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.63 | c_less(c_plus(X1,X1,X0),c_0,X0)
% 170.28/170.63 | ~ c_less(X1,c_0,X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22219]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4111,plain,
% 170.28/170.63 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11605_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22195,plain,
% 170.28/170.63 ( c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4111]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22196,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.63 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.63 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22195]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4107,plain,
% 170.28/170.63 ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 170.28/170.63 | ~ c_less(c_0,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11609_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22187,plain,
% 170.28/170.63 ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 170.28/170.63 | ~ c_less(c_0,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4107]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22188,plain,
% 170.28/170.63 ( c_less(c_0,c_divide(c_1,X0,X1),X1)
% 170.28/170.63 | ~ c_less(c_0,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22187]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4103,plain,
% 170.28/170.63 ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 170.28/170.63 | ~ c_lessequals(c_0,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11610_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22179,plain,
% 170.28/170.63 ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 170.28/170.63 | ~ c_lessequals(c_0,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4103]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22180,plain,
% 170.28/170.63 ( c_lessequals(c_0,c_divide(c_1,X0,X1),X1)
% 170.28/170.63 | ~ c_lessequals(c_0,X0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22179]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4099,plain,
% 170.28/170.63 ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 170.28/170.63 | ~ c_less(X0,c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11611_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22171,plain,
% 170.28/170.63 ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 170.28/170.63 | ~ c_less(X0,c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4099]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22172,plain,
% 170.28/170.63 ( c_less(c_divide(c_1,X0,X1),c_0,X1)
% 170.28/170.63 | ~ c_less(X0,c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22171]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4095,plain,
% 170.28/170.63 ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 170.28/170.63 | ~ c_lessequals(X0,c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11612_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22163,plain,
% 170.28/170.63 ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 170.28/170.63 | ~ c_lessequals(X0,c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4095]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22164,plain,
% 170.28/170.63 ( c_lessequals(c_divide(c_1,X0,X1),c_0,X1)
% 170.28/170.63 | ~ c_lessequals(X0,c_0,X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22163]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4075,plain,
% 170.28/170.63 ( 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)
% 170.28/170.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11620_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22123,plain,
% 170.28/170.63 ( 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)
% 170.28/170.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X2,tc_nat),tc_nat)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4075]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22124,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Power_Orecpower(X0)
% 170.28/170.63 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.63 | 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) ),
% 170.28/170.63 inference(rewriting,[status(thm)],[c_22123]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_4061,plain,
% 170.28/170.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.63 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11625_3) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22095,plain,
% 170.28/170.63 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.63 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.63 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.63 inference(copy,[status(esa)],[c_4061]) ).
% 170.28/170.63
% 170.28/170.63 cnf(c_22096,plain,
% 170.28/170.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.63 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.63 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_22095]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_4043,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 170.28/170.64 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11650_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_22059,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 170.28/170.64 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_4043]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_22060,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_22059]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_4029,plain,
% 170.28/170.64 ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11656_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_22031,plain,
% 170.28/170.64 ( c_lessequals(c_Suc(c_0),c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_4029]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_22032,plain,
% 170.28/170.64 ( c_lessequals(c_1,c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_lessequals(c_1,X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_22031]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_4023,plain,
% 170.28/170.64 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.64 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11658_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_22019,plain,
% 170.28/170.64 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2),X2)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.64 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_4023]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_22020,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0),X0)
% 170.28/170.64 | c_Numeral_Onumber__of(X2,tc_nat) != c_0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_22019]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3987,plain,
% 170.28/170.64 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11676_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21947,plain,
% 170.28/170.64 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_Numeral_Onumber__of(X2,X1),X1)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3987]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21948,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_Numeral_Onumber__of(X2,X0),X0)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X2,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21947]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3973,plain,
% 170.28/170.64 ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11681_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21919,plain,
% 170.28/170.64 ( ~ c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3973]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21920,plain,
% 170.28/170.64 ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X3,X0,X2) | c_in(X3,X1,X2) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21919]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3972,plain,
% 170.28/170.64 ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11681_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21917,plain,
% 170.28/170.64 ( c_in(X0,X1,X2) | ~ c_lessequals(X3,X1,tc_set(X2)) | ~ c_in(X0,X3,X2) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3972]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21918,plain,
% 170.28/170.64 ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X3,X1,X2) | ~ c_in(X3,X0,X2) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21917]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3930,plain,
% 170.28/170.64 ( c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 170.28/170.64 | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11704_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21833,plain,
% 170.28/170.64 ( c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 170.28/170.64 | ~ c_less(c_0,X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3930]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21834,plain,
% 170.28/170.64 ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 170.28/170.64 | c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat)
% 170.28/170.64 | ~ c_less(X1,X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21833]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3910,plain,
% 170.28/170.64 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_uminus(c_Nat_Opower(X0,X2,X1),X1)
% 170.28/170.64 | c_Parity_Oeven(X2,tc_nat)
% 170.28/170.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11711_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21793,plain,
% 170.28/170.64 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_uminus(c_Nat_Opower(X0,X2,X1),X1)
% 170.28/170.64 | c_Parity_Oeven(X2,tc_nat)
% 170.28/170.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3910]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21794,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_uminus(c_Nat_Opower(X2,X1,X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21793]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3894,plain,
% 170.28/170.64 ( X0 = c_0
% 170.28/170.64 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11718_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21761,plain,
% 170.28/170.64 ( X0 = c_0
% 170.28/170.64 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3894]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21762,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0)
% 170.28/170.64 | X1 = c_0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21761]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3891,plain,
% 170.28/170.64 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11721_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21755,plain,
% 170.28/170.64 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),X2,X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3891]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21756,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),X2,X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21755]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3885,plain,
% 170.28/170.64 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.64 | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 170.28/170.64 | ~ c_List_Odistinct(X1,X2) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11723_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21743,plain,
% 170.28/170.64 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.64 | c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 170.28/170.64 | ~ c_List_Odistinct(X1,X2) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3885]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21744,plain,
% 170.28/170.64 ( c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 170.28/170.64 | ~ c_List_Odistinct(X1,X2)
% 170.28/170.64 | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21743]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3882,plain,
% 170.28/170.64 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11726_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21737,plain,
% 170.28/170.64 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,X1),c_0,X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3882]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21738,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X1,X0),c_0,X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21737]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3881,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11727_0) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21735,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3881]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21736,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X0)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21735]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3866,plain,
% 170.28/170.64 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.64 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11736_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21705,plain,
% 170.28/170.64 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.64 | ~ c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3866]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21706,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | ~ c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.64 | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21705]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3860,plain,
% 170.28/170.64 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11738_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21693,plain,
% 170.28/170.64 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3860]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21694,plain,
% 170.28/170.64 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21693]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3857,plain,
% 170.28/170.64 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11739_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21687,plain,
% 170.28/170.64 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3857]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21688,plain,
% 170.28/170.64 ( c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21687]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3833,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11748_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21639,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3833]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21640,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21639]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3832,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11748_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21637,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3832]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21638,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21637]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3830,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11749_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21633,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3830]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21634,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21633]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3829,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11749_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21631,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3829]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21632,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21631]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3827,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11750_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21627,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3827]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21628,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21627]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3826,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11750_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21625,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3826]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21626,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21625]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3824,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11751_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21621,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3824]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21622,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | c_Parity_Oeven(X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21621]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3823,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11751_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21619,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3823]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21620,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21619]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3821,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11752_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21615,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3821]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21616,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21615]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3820,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11752_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21613,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3820]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21614,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21613]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3818,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11753_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21609,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3818]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21610,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21609]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3817,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11753_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21607,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3817]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21608,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21607]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3792,plain,
% 170.28/170.64 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.64 | c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2) != c_0
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.64 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11770_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21557,plain,
% 170.28/170.64 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.64 | c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),X2) != c_0
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.64 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3792]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21558,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.64 | c_Nat_Opower(X2,c_Numeral_Onumber__of(X1,tc_nat),X0) != c_0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21557]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3781,plain,
% 170.28/170.64 ( 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)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11782_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21535,plain,
% 170.28/170.64 ( 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)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3781]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21536,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | 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) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21535]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3777,plain,
% 170.28/170.64 ( X0 = c_emptyset
% 170.28/170.64 | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 170.28/170.64 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.64 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11783_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21527,plain,
% 170.28/170.64 ( X0 = c_emptyset
% 170.28/170.64 | c_lessequals(c_Finite__Set_OMin(X0,X1),c_Finite__Set_OMax(X0,X1),X1)
% 170.28/170.64 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.64 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3777]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21528,plain,
% 170.28/170.64 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.64 | c_lessequals(c_Finite__Set_OMin(X1,X0),c_Finite__Set_OMax(X1,X0),X0)
% 170.28/170.64 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.64 | X1 = c_emptyset ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21527]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3763,plain,
% 170.28/170.64 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 170.28/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11789_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21499,plain,
% 170.28/170.64 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 170.28/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3763]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21500,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.64 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21499]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3733,plain,
% 170.28/170.64 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11801_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21439,plain,
% 170.28/170.64 ( c_lessequals(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3733]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21440,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | c_lessequals(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21439]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3730,plain,
% 170.28/170.64 ( 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)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11802_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21433,plain,
% 170.28/170.64 ( 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)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3730]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21434,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | 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) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21433]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3727,plain,
% 170.28/170.64 ( 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)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11803_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21427,plain,
% 170.28/170.64 ( 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)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3727]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21428,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | 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) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21427]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3705,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X2),X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11813_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21383,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X2),X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3705]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21384,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21383]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3695,plain,
% 170.28/170.64 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11818_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21363,plain,
% 170.28/170.64 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3695]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21364,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | c_lessequals(c_0,c_Numeral_Onumber__of(X1,X0),X0)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21363]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3681,plain,
% 170.28/170.64 ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 170.28/170.64 | ~ c_in(X2,X0,X1)
% 170.28/170.64 | X2 = X3
% 170.28/170.64 | ~ c_in(X3,X0,X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11823_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21335,plain,
% 170.28/170.64 ( ~ c_Infinite__Set_Oatmost__one(X0,X1)
% 170.28/170.64 | ~ c_in(X2,X0,X1)
% 170.28/170.64 | X2 = X3
% 170.28/170.64 | ~ c_in(X3,X0,X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3681]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21336,plain,
% 170.28/170.64 ( ~ c_in(X0,X1,X2)
% 170.28/170.64 | ~ c_in(X3,X1,X2)
% 170.28/170.64 | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 170.28/170.64 | X0 = X3 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21335]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3679,plain,
% 170.28/170.64 ( X0 = X1
% 170.28/170.64 | ~ c_in(X1,X2,X3)
% 170.28/170.64 | ~ c_in(X0,X2,X3)
% 170.28/170.64 | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11823_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21331,plain,
% 170.28/170.64 ( X0 = X1
% 170.28/170.64 | ~ c_in(X1,X2,X3)
% 170.28/170.64 | ~ c_in(X0,X2,X3)
% 170.28/170.64 | ~ c_Infinite__Set_Oatmost__one(X2,X3) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3679]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21332,plain,
% 170.28/170.64 ( ~ c_in(X0,X1,X2)
% 170.28/170.64 | ~ c_in(X3,X1,X2)
% 170.28/170.64 | ~ c_Infinite__Set_Oatmost__one(X1,X2)
% 170.28/170.64 | X3 = X0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21331]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3673,plain,
% 170.28/170.64 ( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11827_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21319,plain,
% 170.28/170.64 ( c_Suc(c_minus(X0,c_Suc(c_0),tc_nat)) = X0 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3673]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21320,plain,
% 170.28/170.64 ( ~ c_less(c_0,X0,tc_nat) | c_Suc(c_minus(X0,c_1,tc_nat)) = X0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21319]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3663,plain,
% 170.28/170.64 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11831_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21299,plain,
% 170.28/170.64 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3663]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21300,plain,
% 170.28/170.64 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21299]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3662,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11831_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21297,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3662]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21298,plain,
% 170.28/170.64 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21297]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3658,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11832_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21289,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3658]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21290,plain,
% 170.28/170.64 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21289]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3655,plain,
% 170.28/170.64 ( X0 = X1
% 170.28/170.64 | ~ c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.64 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11833_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21283,plain,
% 170.28/170.64 ( X0 = X1
% 170.28/170.64 | ~ c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.64 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3655]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21284,plain,
% 170.28/170.64 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.64 | ~ c_lessequals(X1,X0,tc_set(X2))
% 170.28/170.64 | X0 = X1 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21283]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3651,plain,
% 170.28/170.64 ( c_less(c_0,X0,X1)
% 170.28/170.64 | ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11834_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21275,plain,
% 170.28/170.64 ( c_less(c_0,X0,X1)
% 170.28/170.64 | ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3651]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21276,plain,
% 170.28/170.64 ( ~ c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.64 | c_less(c_0,X0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21275]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3647,plain,
% 170.28/170.64 ( c_lessequals(X0,c_0,X1)
% 170.28/170.64 | ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11835_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21267,plain,
% 170.28/170.64 ( c_lessequals(X0,c_0,X1)
% 170.28/170.64 | ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3647]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21268,plain,
% 170.28/170.64 ( ~ c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 170.28/170.64 | c_lessequals(X0,c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21267]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3643,plain,
% 170.28/170.64 ( c_lessequals(c_0,X0,X1)
% 170.28/170.64 | ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11836_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21259,plain,
% 170.28/170.64 ( c_lessequals(c_0,X0,X1)
% 170.28/170.64 | ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3643]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21260,plain,
% 170.28/170.64 ( ~ c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.64 | c_lessequals(c_0,X0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21259]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3639,plain,
% 170.28/170.64 ( c_less(X0,c_0,X1)
% 170.28/170.64 | ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11837_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21251,plain,
% 170.28/170.64 ( c_less(X0,c_0,X1)
% 170.28/170.64 | ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3639]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21252,plain,
% 170.28/170.64 ( ~ c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 170.28/170.64 | c_less(X0,c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21251]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3631,plain,
% 170.28/170.64 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11841_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21235,plain,
% 170.28/170.64 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3631]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21236,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 170.28/170.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21235]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3602,plain,
% 170.28/170.64 ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11849_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21177,plain,
% 170.28/170.64 ( c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3602]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21178,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | c_HOL_Oabs(c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0),X0) = c_1 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21177]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3597,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11851_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21167,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3597]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21168,plain,
% 170.28/170.64 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21167]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3566,plain,
% 170.28/170.64 ( X0 = c_emptyset
% 170.28/170.64 | c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 170.28/170.64 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.64 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11863_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21105,plain,
% 170.28/170.64 ( X0 = c_emptyset
% 170.28/170.64 | c_in(c_Finite__Set_OMin(X0,X1),X0,X1)
% 170.28/170.64 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.64 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3566]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21106,plain,
% 170.28/170.64 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.64 | c_in(c_Finite__Set_OMin(X1,X0),X1,X0)
% 170.28/170.64 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.64 | X1 = c_emptyset ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21105]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3562,plain,
% 170.28/170.64 ( X0 = c_emptyset
% 170.28/170.64 | c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 170.28/170.64 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.64 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11864_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21097,plain,
% 170.28/170.64 ( X0 = c_emptyset
% 170.28/170.64 | c_in(c_Finite__Set_OMax(X0,X1),X0,X1)
% 170.28/170.64 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.64 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3562]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21098,plain,
% 170.28/170.64 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.64 | c_in(c_Finite__Set_OMax(X1,X0),X1,X0)
% 170.28/170.64 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.64 | X1 = c_emptyset ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21097]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3514,plain,
% 170.28/170.64 ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.64 | ~ c_less(c_0,X0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11881_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21001,plain,
% 170.28/170.64 ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.64 | ~ c_less(c_0,X0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3514]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_21002,plain,
% 170.28/170.64 ( c_less(c_0,c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.64 | ~ c_less(c_0,X0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_21001]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3510,plain,
% 170.28/170.64 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 170.28/170.64 | ~ c_lessequals(X0,c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11882_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20993,plain,
% 170.28/170.64 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 170.28/170.64 | ~ c_lessequals(X0,c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3510]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20994,plain,
% 170.28/170.64 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_0,X1)
% 170.28/170.64 | ~ c_lessequals(X0,c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20993]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3506,plain,
% 170.28/170.64 ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.64 | ~ c_lessequals(c_0,X0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11883_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20985,plain,
% 170.28/170.64 ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.64 | ~ c_lessequals(c_0,X0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3506]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20986,plain,
% 170.28/170.64 ( c_lessequals(c_0,c_HOL_Oinverse(X0,X1),X1)
% 170.28/170.64 | ~ c_lessequals(c_0,X0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20985]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3502,plain,
% 170.28/170.64 ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 170.28/170.64 | ~ c_less(X0,c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11884_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20977,plain,
% 170.28/170.64 ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 170.28/170.64 | ~ c_less(X0,c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3502]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20978,plain,
% 170.28/170.64 ( c_less(c_HOL_Oinverse(X0,X1),c_0,X1)
% 170.28/170.64 | ~ c_less(X0,c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20977]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3473,plain,
% 170.28/170.64 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11901_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20919,plain,
% 170.28/170.64 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3473]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20920,plain,
% 170.28/170.64 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20919]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3471,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11901_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20915,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3471]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20916,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20915]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3404,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X2) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11938_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20781,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X0,X1),X2),X2)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,X2),X2)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X2) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3404]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20782,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OBit(X1,X2),X0),X0)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20781]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3400,plain,
% 170.28/170.64 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_Nat_Opower(X0,X2,X1)
% 170.28/170.64 | ~ c_Parity_Oeven(X2,tc_nat)
% 170.28/170.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11939_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20773,plain,
% 170.28/170.64 ( c_Nat_Opower(c_uminus(X0,X1),X2,X1) = c_Nat_Opower(X0,X2,X1)
% 170.28/170.64 | ~ c_Parity_Oeven(X2,tc_nat)
% 170.28/170.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3400]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20774,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | c_Nat_Opower(c_uminus(X2,X0),X1,X0) = c_Nat_Opower(X2,X1,X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20773]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3368,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11953_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20709,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3368]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20710,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20709]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3364,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11954_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20701,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3364]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20702,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20701]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3350,plain,
% 170.28/170.64 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11962_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20673,plain,
% 170.28/170.64 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB0),X1),X1)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3350]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20674,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB0),X0),X0)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20673]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3329,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11986_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20631,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3329]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20632,plain,
% 170.28/170.64 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20631]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3326,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11987_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20625,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3326]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20626,plain,
% 170.28/170.64 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20625]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3323,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11988_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20619,plain,
% 170.28/170.64 ( ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3323]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20620,plain,
% 170.28/170.64 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20619]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3286,plain,
% 170.28/170.64 ( c_less(c_0,X0,tc_nat)
% 170.28/170.64 | c_Nat_Opower(X1,X0,X2) != c_0
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.64 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12018_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20545,plain,
% 170.28/170.64 ( c_less(c_0,X0,tc_nat)
% 170.28/170.64 | c_Nat_Opower(X1,X0,X2) != c_0
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.64 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3286]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20546,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | c_less(c_0,X1,tc_nat)
% 170.28/170.64 | c_Nat_Opower(X2,X1,X0) != c_0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20545]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3282,plain,
% 170.28/170.64 ( c_less(c_1,X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12024_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20537,plain,
% 170.28/170.64 ( c_less(c_1,X0,tc_IntDef_Oint)
% 170.28/170.64 | ~ c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3282]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20538,plain,
% 170.28/170.64 ( ~ c_less(c_1,c_IntDef_Onat(X0),tc_nat)
% 170.28/170.64 | c_less(c_1,X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20537]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3279,plain,
% 170.28/170.64 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB1),X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12025_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20531,plain,
% 170.28/170.64 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X0,c_Numeral_Obit_OB1),X1),X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3279]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20532,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OBit(X1,c_Numeral_Obit_OB1),X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20531]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3267,plain,
% 170.28/170.64 ( c_Nat_Opower(c_0,X0,X1) = c_0
% 170.28/170.64 | ~ c_less(c_0,X0,tc_nat)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12030_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20507,plain,
% 170.28/170.64 ( c_Nat_Opower(c_0,X0,X1) = c_0
% 170.28/170.64 | ~ c_less(c_0,X0,tc_nat)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Power_Orecpower(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3267]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20508,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.64 | c_Nat_Opower(c_0,X1,X0) = c_0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20507]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3252,plain,
% 170.28/170.64 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 170.28/170.64 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12036_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20477,plain,
% 170.28/170.64 ( c_HOL_Oabs(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 170.28/170.64 | c_less(c_Numeral_Onumber__of(X0,X1),c_0,X1)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3252]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20478,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | c_less(c_Numeral_Onumber__of(X1,X0),c_0,X0)
% 170.28/170.64 | c_HOL_Oabs(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20477]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3238,plain,
% 170.28/170.64 ( c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 170.28/170.64 | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12046_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20449,plain,
% 170.28/170.64 ( c_less(c_Suc(c_0),c_IntDef_Onat(X0),tc_nat)
% 170.28/170.64 | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3238]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20450,plain,
% 170.28/170.64 ( c_less(c_1,c_IntDef_Onat(X0),tc_nat)
% 170.28/170.64 | ~ c_less(c_1,X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20449]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3232,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12050_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20437,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(c_plus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3232]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20438,plain,
% 170.28/170.64 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20437]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3229,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12051_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20431,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_nat)
% 170.28/170.64 | c_Parity_Oeven(c_plus(X1,X0,tc_nat),tc_nat)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3229]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20432,plain,
% 170.28/170.64 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | c_Parity_Oeven(X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20431]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3226,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12052_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20425,plain,
% 170.28/170.64 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(c_minus(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3226]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20426,plain,
% 170.28/170.64 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.64 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20425]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3206,plain,
% 170.28/170.64 ( X0 = c_0
% 170.28/170.64 | c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2) != c_0
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.64 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12060_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20385,plain,
% 170.28/170.64 ( X0 = c_0
% 170.28/170.64 | c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),X2) != c_0
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.64 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3206]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20386,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | c_Nat_Opower(X1,c_Numeral_Onumber__of(X2,tc_nat),X0) != c_0
% 170.28/170.64 | X1 = c_0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20385]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3202,plain,
% 170.28/170.64 ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12062_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20377,plain,
% 170.28/170.64 ( c_Divides_Oop_Amod(c_Suc(c_0),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_Suc(c_0)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3202]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20378,plain,
% 170.28/170.64 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Divides_Oop_Amod(c_1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_1 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20377]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3199,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12063_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20371,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3199]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20372,plain,
% 170.28/170.64 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20371]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3196,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12064_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20365,plain,
% 170.28/170.64 ( c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3196]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20366,plain,
% 170.28/170.64 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,tc_nat) = c_Numeral_Onumber__of(X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20365]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3161,plain,
% 170.28/170.64 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 170.28/170.64 | c_Numeral_Onumber__of(X0,X1) != c_0
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12089_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20295,plain,
% 170.28/170.64 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(c_Numeral_OPls)),X1),X1)
% 170.28/170.64 | c_Numeral_Onumber__of(X0,X1) != c_0
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3161]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20296,plain,
% 170.28/170.64 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_OPls),X0),X0)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20295]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3112,plain,
% 170.28/170.64 ( c_uminus(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 170.28/170.64 | ~ class_OrderedGroup_Oab__group__add(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12115_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20197,plain,
% 170.28/170.64 ( c_uminus(c_uminus(c_Numeral_Onumber__of(X0,X1),X1),X1) = c_Numeral_Onumber__of(X0,X1)
% 170.28/170.64 | ~ class_OrderedGroup_Oab__group__add(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3112]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20198,plain,
% 170.28/170.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber(X0)
% 170.28/170.64 | c_uminus(c_uminus(c_Numeral_Onumber__of(X1,X0),X0),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20197]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3082,plain,
% 170.28/170.64 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12131_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20137,plain,
% 170.28/170.64 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3082]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20138,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_uminus(c_1,X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20137]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3064,plain,
% 170.28/170.64 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12137_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20101,plain,
% 170.28/170.64 ( c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3064]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_20102,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | ~ c_Parity_Oeven(X1,tc_nat)
% 170.28/170.64 | c_Nat_Opower(c_uminus(c_1,X0),X1,X0) = c_1 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_20101]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_3011,plain,
% 170.28/170.64 ( X0 = c_0
% 170.28/170.64 | c_Nat_Opower(X0,X1,X2) != c_0
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.64 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12161_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19995,plain,
% 170.28/170.64 ( X0 = c_0
% 170.28/170.64 | c_Nat_Opower(X0,X1,X2) != c_0
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 170.28/170.64 | ~ class_Power_Orecpower(X2) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_3011]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19996,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Power_Orecpower(X0)
% 170.28/170.64 | c_Nat_Opower(X1,X2,X0) != c_0
% 170.28/170.64 | X1 = c_0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19995]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_2994,plain,
% 170.28/170.64 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = X2
% 170.28/170.64 | c_uminus(X2,X1) != c_Numeral_Onumber__of(X0,X1)
% 170.28/170.64 | ~ class_OrderedGroup_Oab__group__add(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12168_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19961,plain,
% 170.28/170.64 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = X2
% 170.28/170.64 | c_uminus(X2,X1) != c_Numeral_Onumber__of(X0,X1)
% 170.28/170.64 | ~ class_OrderedGroup_Oab__group__add(X1)
% 170.28/170.64 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_2994]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19962,plain,
% 170.28/170.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber(X0)
% 170.28/170.64 | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = X2
% 170.28/170.64 | c_uminus(X2,X0) != c_Numeral_Onumber__of(X1,X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19961]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_2990,plain,
% 170.28/170.64 ( X0 = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,X2) != c_uminus(X0,X2)
% 170.28/170.64 | ~ class_OrderedGroup_Oab__group__add(X2)
% 170.28/170.64 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12169_3) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19953,plain,
% 170.28/170.64 ( X0 = c_uminus(c_Numeral_Onumber__of(X1,X2),X2)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,X2) != c_uminus(X0,X2)
% 170.28/170.64 | ~ class_OrderedGroup_Oab__group__add(X2)
% 170.28/170.64 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_2990]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19954,plain,
% 170.28/170.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber(X0)
% 170.28/170.64 | c_Numeral_Onumber__of(X1,X0) != c_uminus(X2,X0)
% 170.28/170.64 | X2 = c_uminus(c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19953]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_2925,plain,
% 170.28/170.64 ( X0 = c_Suc(c_0) | ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12199_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19823,plain,
% 170.28/170.64 ( X0 = c_Suc(c_0) | ~ c_Divides_Oop_Advd(X0,c_Suc(c_0),tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_2925]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19824,plain,
% 170.28/170.64 ( ~ c_Divides_Oop_Advd(X0,c_1,tc_nat) | X0 = c_1 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19823]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_2898,plain,
% 170.28/170.64 ( X0 = c_1 | c_times(X1,X0,tc_nat) != c_Suc(c_0) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12211_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19769,plain,
% 170.28/170.64 ( X0 = c_1 | c_times(X1,X0,tc_nat) != c_Suc(c_0) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_2898]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19770,plain,
% 170.28/170.64 ( c_times(X0,X1,tc_nat) != c_1 | X1 = c_1 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19769]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_2896,plain,
% 170.28/170.64 ( X0 = c_1 | c_times(X0,X1,tc_nat) != c_Suc(c_0) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12212_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19765,plain,
% 170.28/170.64 ( X0 = c_1 | c_times(X0,X1,tc_nat) != c_Suc(c_0) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_2896]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19766,plain,
% 170.28/170.64 ( c_times(X0,X1,tc_nat) != c_1 | X0 = c_1 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19765]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_2803,plain,
% 170.28/170.64 ( X0 = c_0
% 170.28/170.64 | c_lessequals(X0,X1,tc_nat)
% 170.28/170.64 | c_List_Oupt(X1,X0) != c_List_Olist_ONil ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12278_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19579,plain,
% 170.28/170.64 ( X0 = c_0
% 170.28/170.64 | c_lessequals(X0,X1,tc_nat)
% 170.28/170.64 | c_List_Oupt(X1,X0) != c_List_Olist_ONil ),
% 170.28/170.64 inference(copy,[status(esa)],[c_2803]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19580,plain,
% 170.28/170.64 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.64 | c_List_Oupt(X1,X0) != c_List_Olist_ONil
% 170.28/170.64 | X0 = c_0 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19579]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_2792,plain,
% 170.28/170.64 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12285_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19557,plain,
% 170.28/170.64 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_2792]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19558,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19557]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_2632,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12459_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19237,plain,
% 170.28/170.64 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_2632]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19238,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19237]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_2626,plain,
% 170.28/170.64 ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12461_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19225,plain,
% 170.28/170.64 ( c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1
% 170.28/170.64 | ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_2626]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19226,plain,
% 170.28/170.64 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.64 | ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.64 | c_HOL_Oabs(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_1 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19225]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_2608,plain,
% 170.28/170.64 ( ~ class_Finite__Set_Ofinite(X0)
% 170.28/170.64 | class_Finite__Set_Ofinite(tc_sum(X1,X0))
% 170.28/170.64 | ~ class_Finite__Set_Ofinite(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12478_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19189,plain,
% 170.28/170.64 ( ~ class_Finite__Set_Ofinite(X0)
% 170.28/170.64 | class_Finite__Set_Ofinite(tc_sum(X1,X0))
% 170.28/170.64 | ~ class_Finite__Set_Ofinite(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_2608]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19190,plain,
% 170.28/170.64 ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 170.28/170.64 | ~ class_Finite__Set_Ofinite(X1)
% 170.28/170.64 | ~ class_Finite__Set_Ofinite(X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19189]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_2605,plain,
% 170.28/170.64 ( ~ class_Finite__Set_Ofinite(X0)
% 170.28/170.64 | class_Finite__Set_Ofinite(tc_prod(X1,X0))
% 170.28/170.64 | ~ class_Finite__Set_Ofinite(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12479_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19183,plain,
% 170.28/170.64 ( ~ class_Finite__Set_Ofinite(X0)
% 170.28/170.64 | class_Finite__Set_Ofinite(tc_prod(X1,X0))
% 170.28/170.64 | ~ class_Finite__Set_Ofinite(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_2605]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19184,plain,
% 170.28/170.64 ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 170.28/170.64 | ~ class_Finite__Set_Ofinite(X1)
% 170.28/170.64 | ~ class_Finite__Set_Ofinite(X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19183]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_2602,plain,
% 170.28/170.64 ( ~ class_Finite__Set_Ofinite(X0)
% 170.28/170.64 | class_Finite__Set_Ofinite(tc_fun(X1,X0))
% 170.28/170.64 | ~ class_Finite__Set_Ofinite(X1) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12480_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19177,plain,
% 170.28/170.64 ( ~ class_Finite__Set_Ofinite(X0)
% 170.28/170.64 | class_Finite__Set_Ofinite(tc_fun(X1,X0))
% 170.28/170.64 | ~ class_Finite__Set_Ofinite(X1) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_2602]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_19178,plain,
% 170.28/170.64 ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 170.28/170.64 | ~ class_Finite__Set_Ofinite(X1)
% 170.28/170.64 | ~ class_Finite__Set_Ofinite(X0) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_19177]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_314,plain,
% 170.28/170.64 ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12352_0) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_14847,plain,
% 170.28/170.64 ( c_Divides_Oop_Advd(c_Suc(c_0),c_Suc(c_0),tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_314]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_14848,plain,
% 170.28/170.64 ( c_Divides_Oop_Advd(c_1,c_1,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_14847]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_307,plain,
% 170.28/170.64 ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12366_0) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_14835,plain,
% 170.28/170.64 ( c_Divides_Oop_Advd(c_Suc(c_0),X0,tc_nat) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_307]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_14836,plain,
% 170.28/170.64 ( c_Divides_Oop_Advd(c_1,X0,tc_nat) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_14835]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_302,plain,
% 170.28/170.64 ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12374_0) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_14828,plain,
% 170.28/170.64 ( c_lessequals(c_IntDef_Oint(c_0),c_0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_302]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_14829,plain,
% 170.28/170.64 ( c_lessequals(c_0,c_0,tc_IntDef_Oint) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_14828]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_6000,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_18) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_8363,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_6000]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_8376,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_8363]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_8377,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_8376]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_8383,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_8377]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25971,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OInit(v_F,t_a) = c_UNITY_OInit(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_8383]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5999,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_17) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_8361,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_5999]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_8375,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_8361]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_8378,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_8375]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_8382,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_8378]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25969,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OActs(v_F,t_a) = c_UNITY_OActs(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_8382]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5998,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_16) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_8359,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_5998]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_8374,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_8359]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_8379,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_8374]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_8381,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_8379]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25967,negated_conjecture,
% 170.28/170.64 ( c_UNITY_OAllowedActs(v_F,t_a) = c_UNITY_OAllowedActs(v_G,t_a) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_8381]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5995,plain,
% 170.28/170.64 ( 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))
% 170.28/170.64 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10976_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25963,plain,
% 170.28/170.64 ( 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))
% 170.28/170.64 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_5995]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5993,plain,
% 170.28/170.64 ( 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))
% 170.28/170.64 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10977_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25959,plain,
% 170.28/170.64 ( 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))
% 170.28/170.64 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_5993]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5991,plain,
% 170.28/170.64 ( 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
% 170.28/170.64 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10978_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25955,plain,
% 170.28/170.64 ( 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
% 170.28/170.64 | ~ c_in(X2,c_Relation_Orel__comp(X0,X1,X3,X4,X5),tc_prod(X5,X4)) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_5991]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25956,plain,
% 170.28/170.64 ( ~ c_in(X0,c_Relation_Orel__comp(X1,X2,X3,X4,X5),tc_prod(X5,X4))
% 170.28/170.64 | 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 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_25955]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5989,plain,
% 170.28/170.64 ( 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
% 170.28/170.64 | ~ 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)))) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10979_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25951,plain,
% 170.28/170.64 ( 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
% 170.28/170.64 | ~ 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)))) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_5989]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25952,plain,
% 170.28/170.64 ( ~ 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))))
% 170.28/170.64 | 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 ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_25951]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5987,plain,
% 170.28/170.64 ( 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))))
% 170.28/170.64 | ~ 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)))) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10980_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25947,plain,
% 170.28/170.64 ( 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))))
% 170.28/170.64 | ~ 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)))) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_5987]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5985,plain,
% 170.28/170.64 ( 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))))
% 170.28/170.64 | ~ 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)))) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10981_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25943,plain,
% 170.28/170.64 ( 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))))
% 170.28/170.64 | ~ 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)))) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_5985]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5974,plain,
% 170.28/170.64 ( 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)))
% 170.28/170.64 | ~ 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))) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10988_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25921,plain,
% 170.28/170.64 ( 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)))
% 170.28/170.64 | ~ 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))) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_5974]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5972,plain,
% 170.28/170.64 ( 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)))
% 170.28/170.64 | ~ 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))) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10989_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25917,plain,
% 170.28/170.64 ( 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)))
% 170.28/170.64 | ~ 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))) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_5972]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25918,plain,
% 170.28/170.64 ( ~ 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)))
% 170.28/170.64 | 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))) ),
% 170.28/170.64 inference(rewriting,[status(thm)],[c_25917]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5969,plain,
% 170.28/170.64 ( c_in(c_Pair(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_OScons(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X6,X7,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 170.28/170.64 | ~ c_in(c_Pair(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 170.28/170.64 | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10990_2) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25911,plain,
% 170.28/170.64 ( c_in(c_Pair(c_Datatype__Universe_OScons(X0,X1,X2,X3),c_Datatype__Universe_OScons(X4,X5,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),c_Datatype__Universe_Odprod(X6,X7,X2,X3),tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 170.28/170.64 | ~ c_in(c_Pair(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X6,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))))
% 170.28/170.64 | ~ c_in(c_Pair(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3))),X7,tc_prod(tc_set(tc_Datatype__Universe_Onode(X2,X3)),tc_set(tc_Datatype__Universe_Onode(X2,X3)))) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_5969]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5967,plain,
% 170.28/170.64 ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 170.28/170.64 | ~ 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))) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10991_1) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_25907,plain,
% 170.28/170.64 ( c_in(c_Pair(c_Main_Olistrel__Cons2__1(X0,X1,X2,X3,X4),X2,X4,X4),X0,tc_prod(X4,X4))
% 170.28/170.64 | ~ 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))) ),
% 170.28/170.64 inference(copy,[status(esa)],[c_5967]) ).
% 170.28/170.64
% 170.28/170.64 cnf(c_5965,plain,
% 170.28/170.64 ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,X2,X0,X3,X4),X4,X4),X1,tc_prod(X4,X4))
% 170.28/170.64 | ~ 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))) ),
% 170.28/170.64 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10992_1) ).
% 170.28/170.64
% 170.28/170.65 cnf(c_25903,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X1,X2,X0,X3,X4),X4,X4),X1,tc_prod(X4,X4))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5965]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25904,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | c_in(c_Pair(X0,c_Main_Olistrel__Cons1__1(X4,X3,X0,X1,X2),X2,X2),X4,tc_prod(X2,X2)) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25903]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5962,plain,
% 170.28/170.65 ( 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
% 170.28/170.65 | 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
% 170.28/170.65 | ~ 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)))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10993_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25897,plain,
% 170.28/170.65 ( 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
% 170.28/170.65 | 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
% 170.28/170.65 | ~ 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)))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5962]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25898,plain,
% 170.28/170.65 ( ~ 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))))
% 170.28/170.65 | 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
% 170.28/170.65 | 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 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25897]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5960,plain,
% 170.28/170.65 ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 170.28/170.65 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10994_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25893,plain,
% 170.28/170.65 ( c_in(c_Pair(c_Main_OImageE__1(X0,X1,X2,X3,X4),X1,X3,X4),X2,tc_prod(X3,X4))
% 170.28/170.65 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5960]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5958,plain,
% 170.28/170.65 ( 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
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10995_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25889,plain,
% 170.28/170.65 ( 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
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5958]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25890,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | 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 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25889]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5956,plain,
% 170.28/170.65 ( 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
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10996_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25885,plain,
% 170.28/170.65 ( 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
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5956]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25886,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | 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 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25885]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5954,plain,
% 170.28/170.65 ( 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
% 170.28/170.65 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10997_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25881,plain,
% 170.28/170.65 ( 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
% 170.28/170.65 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5954]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25882,plain,
% 170.28/170.65 ( ~ c_in(X0,c_Datatype__Universe_Ouprod(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 170.28/170.65 | 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 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25881]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5951,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 170.28/170.65 | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 170.28/170.65 | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10998_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25875,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Orel__comp(X4,X5,X6,X3,X2),tc_prod(X2,X3))
% 170.28/170.65 | ~ c_in(c_Pair(X0,X7,X2,X6),X5,tc_prod(X2,X6))
% 170.28/170.65 | ~ c_in(c_Pair(X7,X1,X6,X3),X4,tc_prod(X6,X3)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5951]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5949,plain,
% 170.28/170.65 ( c_plus(X0,X1,tc_nat) = c_plus(X2,X3,tc_nat)
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_10999_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25871,plain,
% 170.28/170.65 ( c_plus(X0,X1,tc_nat) = c_plus(X2,X3,tc_nat)
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5949]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25872,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | c_plus(X0,X3,tc_nat) = c_plus(X2,X1,tc_nat) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25871]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5943,plain,
% 170.28/170.65 ( 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))
% 170.28/170.65 | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11002_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25859,plain,
% 170.28/170.65 ( 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))
% 170.28/170.65 | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5943]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25860,plain,
% 170.28/170.65 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | 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)) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25859]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5938,plain,
% 170.28/170.65 ( 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))))
% 170.28/170.65 | ~ 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)))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11004_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25849,plain,
% 170.28/170.65 ( 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))))
% 170.28/170.65 | ~ 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)))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5938]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5936,plain,
% 170.28/170.65 ( 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))))
% 170.28/170.65 | ~ 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)))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11005_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25845,plain,
% 170.28/170.65 ( 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))))
% 170.28/170.65 | ~ 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)))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5936]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5931,plain,
% 170.28/170.65 ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 170.28/170.65 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11007_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25835,plain,
% 170.28/170.65 ( c_in(c_Main_OuprodE__1(X0,X1,X2,X3,X4),X0,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 170.28/170.65 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5931]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5929,plain,
% 170.28/170.65 ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 170.28/170.65 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11008_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25831,plain,
% 170.28/170.65 ( c_in(c_Main_OuprodE__2(X0,X1,X2,X3,X4),X1,tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 170.28/170.65 | ~ c_in(X2,c_Datatype__Universe_Ouprod(X0,X1,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5929]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5926,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11009_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25825,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5926]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25826,plain,
% 170.28/170.65 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | 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) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25825]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5920,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11011_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25813,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5920]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25814,plain,
% 170.28/170.65 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | 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) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25813]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5915,plain,
% 170.28/170.65 ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 170.28/170.65 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11013_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25803,plain,
% 170.28/170.65 ( c_in(c_Main_OImageE__1(X0,X1,X2,X3,X4),X0,X3)
% 170.28/170.65 | ~ c_in(X1,c_Relation_OImage(X2,X0,X3,X4),X4) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5915]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5913,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11014_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25799,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5913]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25800,plain,
% 170.28/170.65 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | 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) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25799]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5911,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11015_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25795,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5911]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25796,plain,
% 170.28/170.65 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | 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) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25795]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5908,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11016_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25789,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5908]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25790,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | 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)))
% 170.28/170.65 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25789]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5905,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11017_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25783,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | c_in(c_Pair(X4,X5,X2,X2),X3,tc_prod(X2,X2))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5905]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25784,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | 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)))
% 170.28/170.65 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25783]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5903,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11019_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25779,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | c_plus(X0,X3,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5903]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5901,plain,
% 170.28/170.65 ( 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))
% 170.28/170.65 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11020_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25775,plain,
% 170.28/170.65 ( 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))
% 170.28/170.65 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5901]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5899,plain,
% 170.28/170.65 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 170.28/170.65 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11021_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25771,plain,
% 170.28/170.65 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 170.28/170.65 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5899]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25772,plain,
% 170.28/170.65 ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 170.28/170.65 | ~ c_in(c_Pair(X1,X0,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2)) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25771]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5897,plain,
% 170.28/170.65 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 170.28/170.65 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11022_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25767,plain,
% 170.28/170.65 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 170.28/170.65 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5897]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5894,plain,
% 170.28/170.65 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 170.28/170.65 | 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)))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11023_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25761,plain,
% 170.28/170.65 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 170.28/170.65 | 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)))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5894]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25762,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | 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)))
% 170.28/170.65 | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2)) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25761]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5891,plain,
% 170.28/170.65 ( X0 = X1
% 170.28/170.65 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11024_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25755,plain,
% 170.28/170.65 ( X0 = X1
% 170.28/170.65 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5891]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25756,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 170.28/170.65 | X0 = X3 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25755]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5888,plain,
% 170.28/170.65 ( X0 = X1
% 170.28/170.65 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11025_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25749,plain,
% 170.28/170.65 ( X0 = X1
% 170.28/170.65 | c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5888]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25750,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2))
% 170.28/170.65 | X0 = X3 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25749]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5877,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11029_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25727,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5877]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5875,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11030_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25723,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5875]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5873,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | 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)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11031_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25719,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | 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)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5873]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5870,plain,
% 170.28/170.65 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 170.28/170.65 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1
% 170.28/170.65 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11032_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25713,plain,
% 170.28/170.65 ( c_Datatype__Universe_OIn1(c_Main_OusumE__2(X0,X1,X2,X3),X2,X3) = X1
% 170.28/170.65 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X4,X1,X2,X3),X2,X3) = X1
% 170.28/170.65 | ~ c_in(X1,c_Datatype__Universe_Ousum(X4,X0,X2,X3),tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5870]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25714,plain,
% 170.28/170.65 ( ~ c_in(X0,c_Datatype__Universe_Ousum(X1,X2,X3,X4),tc_set(tc_Datatype__Universe_Onode(X3,X4)))
% 170.28/170.65 | c_Datatype__Universe_OIn0(c_Main_OusumE__1(X1,X0,X3,X4),X3,X4) = X0
% 170.28/170.65 | c_Datatype__Universe_OIn1(c_Main_OusumE__2(X2,X0,X3,X4),X3,X4) = X0 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25713]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5865,plain,
% 170.28/170.65 ( 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))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11034_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25703,plain,
% 170.28/170.65 ( 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))
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5865]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25704,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | 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)) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25703]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5862,plain,
% 170.28/170.65 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 170.28/170.65 | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1
% 170.28/170.65 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11035_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25697,plain,
% 170.28/170.65 ( c_Sum__Type_OInr(c_Main_OPlusE__2(X0,X1,X2,X3),X2,X3) = X1
% 170.28/170.65 | c_Sum__Type_OInl(c_Main_OPlusE__1(X4,X1,X3,X2),X3,X2) = X1
% 170.28/170.65 | ~ c_in(X1,c_Sum__Type_OPlus(X4,X0,X3,X2),tc_sum(X3,X2)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5862]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25698,plain,
% 170.28/170.65 ( ~ c_in(X0,c_Sum__Type_OPlus(X1,X2,X3,X4),tc_sum(X3,X4))
% 170.28/170.65 | c_Sum__Type_OInl(c_Main_OPlusE__1(X1,X0,X3,X4),X3,X4) = X0
% 170.28/170.65 | c_Sum__Type_OInr(c_Main_OPlusE__2(X2,X0,X4,X3),X4,X3) = X0 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25697]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5851,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11040_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25675,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | ~ c_in(c_Pair(X0,X3,X2,X2),X5,tc_prod(X2,X2)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5851]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5849,plain,
% 170.28/170.65 ( c_Wellfounded__Recursion_Owf(X0,X1)
% 170.28/170.65 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11041_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25671,plain,
% 170.28/170.65 ( c_Wellfounded__Recursion_Owf(X0,X1)
% 170.28/170.65 | ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5849]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25672,plain,
% 170.28/170.65 ( ~ c_Wellfounded__Recursion_Owf(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 170.28/170.65 | c_Wellfounded__Recursion_Owf(X3,X2) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25671]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5847,plain,
% 170.28/170.65 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 170.28/170.65 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11042_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25667,plain,
% 170.28/170.65 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 170.28/170.65 | ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X2,X3,X1,X1),X0,tc_prod(X1,X1)),X1) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5847]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25668,plain,
% 170.28/170.65 ( ~ c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)),X2)
% 170.28/170.65 | c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25667]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5845,plain,
% 170.28/170.65 ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 170.28/170.65 | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11043_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25663,plain,
% 170.28/170.65 ( c_in(c_Pair(c_Main_ORangeE__1(X0,X1,X2,X3),X0,X3,X2),X1,tc_prod(X3,X2))
% 170.28/170.65 | ~ c_in(X0,c_Relation_ORange(X1,X3,X2),X2) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5845]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5843,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 170.28/170.65 | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11044_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25659,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,c_Main_ODomainE__1(X0,X1,X2,X3),X2,X3),X1,tc_prod(X2,X3))
% 170.28/170.65 | ~ c_in(X0,c_Relation_ODomain(X1,X2,X3),X2) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5843]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5837,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 170.28/170.65 | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 170.28/170.65 | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11046_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25647,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 170.28/170.65 | c_Wellfounded__Recursion_Oacyclic(c_insert(c_Pair(X1,X0,X2,X2),X3,tc_prod(X2,X2)),X2)
% 170.28/170.65 | ~ c_Wellfounded__Recursion_Oacyclic(X3,X2) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5837]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5835,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 170.28/170.65 | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11047_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25643,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 170.28/170.65 | ~ c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5835]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5832,plain,
% 170.28/170.65 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 170.28/170.65 | X3 = X4
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11048_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25637,plain,
% 170.28/170.65 ( c_Nat_Osize(X0,tc_List_Olist(X1)) = c_Nat_Osize(X2,tc_List_Olist(X1))
% 170.28/170.65 | X3 = X4
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5832]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25638,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | c_Nat_Osize(X1,tc_List_Olist(X2)) = c_Nat_Osize(X4,tc_List_Olist(X2))
% 170.28/170.65 | X0 = X3 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25637]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5830,plain,
% 170.28/170.65 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 170.28/170.65 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11049_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25633,plain,
% 170.28/170.65 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 170.28/170.65 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X2,X1,tc_nat,tc_nat)),tc_nat) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5830]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25634,plain,
% 170.28/170.65 ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 170.28/170.65 | c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25633]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5828,plain,
% 170.28/170.65 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 170.28/170.65 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11050_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25629,plain,
% 170.28/170.65 ( c_Divides_Oop_Advd(X0,X1,tc_nat)
% 170.28/170.65 | ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5828]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25630,plain,
% 170.28/170.65 ( ~ c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 170.28/170.65 | c_Divides_Oop_Advd(X0,X1,tc_nat) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25629]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5826,plain,
% 170.28/170.65 ( c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 170.28/170.65 | ~ c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11051_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25625,plain,
% 170.28/170.65 ( c_in(X0,c_Relation_OImage(X1,c_insert(X2,c_emptyset,X3),X3,X4),X4)
% 170.28/170.65 | ~ c_in(c_Pair(X2,X0,X3,X4),X1,tc_prod(X3,X4)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5826]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25626,plain,
% 170.28/170.65 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 170.28/170.65 | c_in(X1,c_Relation_OImage(X4,c_insert(X0,c_emptyset,X2),X2,X3),X3) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25625]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5824,plain,
% 170.28/170.65 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 170.28/170.65 | 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)
% 170.28/170.65 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11052_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25621,plain,
% 170.28/170.65 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 170.28/170.65 | 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)
% 170.28/170.65 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5824]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25622,plain,
% 170.28/170.65 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 170.28/170.65 | c_Nat_Osize(X4,tc_List_Olist(X1)) != c_Nat_Osize(X5,tc_List_Olist(X3))
% 170.28/170.65 | 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) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25621]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5821,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 170.28/170.65 | ~ c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11053_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25615,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 170.28/170.65 | ~ c_in(c_Pair(X1,X0,X3,X2),c_Relation_Oconverse(X4,X2,X3),tc_prod(X3,X2)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5821]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25616,plain,
% 170.28/170.65 ( ~ c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 170.28/170.65 | c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25615]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5819,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 170.28/170.65 | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11056_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25611,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X3),c_Relation_Oconverse(X4,X3,X2),tc_prod(X2,X3))
% 170.28/170.65 | ~ c_in(c_Pair(X1,X0,X3,X2),X4,tc_prod(X3,X2)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5819]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5810,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11059_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25593,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5810]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25594,plain,
% 170.28/170.65 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | 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) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25593]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5804,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11061_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25581,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5804]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25582,plain,
% 170.28/170.65 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.65 | 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) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25581]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5802,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 170.28/170.65 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11063_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25577,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Ortrancl(X3,X2),tc_prod(X2,X2))
% 170.28/170.65 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5802]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5797,plain,
% 170.28/170.65 ( c_Pair(c_Main_OconverseE__2(X0,X1,X2,X3),c_Main_OconverseE__1(X0,X1,X2,X3),X3,X2) = X1
% 170.28/170.65 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11065_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25567,plain,
% 170.28/170.65 ( c_Pair(c_Main_OconverseE__2(X0,X1,X2,X3),c_Main_OconverseE__1(X0,X1,X2,X3),X3,X2) = X1
% 170.28/170.65 | ~ c_in(X1,c_Relation_Oconverse(X0,X2,X3),tc_prod(X3,X2)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5797]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25568,plain,
% 170.28/170.65 ( ~ c_in(X0,c_Relation_Oconverse(X1,X2,X3),tc_prod(X3,X2))
% 170.28/170.65 | c_Pair(c_Main_OconverseE__2(X1,X0,X2,X3),c_Main_OconverseE__1(X1,X0,X2,X3),X3,X2) = X0 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25567]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5795,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 170.28/170.65 | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11067_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25563,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X1,X2,X2),c_Transitive__Closure_Otrancl(X3,X2),tc_prod(X2,X2))
% 170.28/170.65 | ~ c_in(c_Pair(X0,X1,X2,X2),X3,tc_prod(X2,X2)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5795]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5792,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.28/170.65 | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11068_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25557,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X2,X3)))
% 170.28/170.65 | ~ c_in(X1,X5,tc_set(tc_Datatype__Universe_Onode(X2,X3))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5792]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5786,plain,
% 170.28/170.65 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 170.28/170.65 | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) != c_Datatype_Ooption_ONone
% 170.28/170.65 | ~ c_in(X4,c_List_Oset(X0,X1),X1) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11070_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25545,plain,
% 170.28/170.65 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X3))
% 170.28/170.65 | c_Map_Omap__of(c_List_Ozip(X0,X2,X1,X3),X4,X1,X3) != c_Datatype_Ooption_ONone
% 170.28/170.65 | ~ c_in(X4,c_List_Oset(X0,X1),X1) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5786]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25546,plain,
% 170.28/170.65 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.65 | c_Nat_Osize(X1,tc_List_Olist(X2)) != c_Nat_Osize(X3,tc_List_Olist(X4))
% 170.28/170.65 | c_Map_Omap__of(c_List_Ozip(X1,X3,X2,X4),X0,X2,X4) != c_Datatype_Ooption_ONone ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25545]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5784,plain,
% 170.28/170.65 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 170.28/170.65 | 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))
% 170.28/170.65 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11071_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25541,plain,
% 170.28/170.65 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 170.28/170.65 | 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))
% 170.28/170.65 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5784]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25542,plain,
% 170.28/170.65 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 170.28/170.65 | ~ c_less(X0,c_Nat_Osize(X3,tc_List_Olist(X4)),tc_nat)
% 170.28/170.65 | 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)) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25541]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5781,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11072_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25535,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5781]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25536,plain,
% 170.28/170.65 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | 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) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25535]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5779,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11073_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25531,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5779]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25532,plain,
% 170.28/170.65 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | 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) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25531]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5776,plain,
% 170.28/170.65 ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 170.28/170.65 | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 170.28/170.65 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11077_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25525,plain,
% 170.28/170.65 ( c_Divides_Oop_Advd(X0,c_GCD_Ogcd(c_Pair(X1,X2,tc_nat,tc_nat)),tc_nat)
% 170.28/170.65 | ~ c_Divides_Oop_Advd(X0,X1,tc_nat)
% 170.28/170.65 | ~ c_Divides_Oop_Advd(X0,X2,tc_nat) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5776]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5774,plain,
% 170.28/170.65 ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X1,X4,X3) = c_List_Olist__update(X0,X1,X4,X3)
% 170.28/170.65 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11082_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25521,plain,
% 170.28/170.65 ( c_List_Olist__update(c_List_Olist__update(X0,X1,X2,X3),X1,X4,X3) = c_List_Olist__update(X0,X1,X4,X3)
% 170.28/170.65 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5774]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25522,plain,
% 170.28/170.65 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 170.28/170.65 | c_List_Olist__update(c_List_Olist__update(X1,X0,X3,X2),X0,X4,X2) = c_List_Olist__update(X1,X0,X4,X2) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25521]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5772,plain,
% 170.28/170.65 ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11083_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25517,plain,
% 170.28/170.65 ( c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5772]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25518,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | c_List_Olist_OCons(c_Main_Olexord__Nil__left__1(X0,X1),c_Main_Olexord__Nil__left__2(X0,X1),X1) = X0 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25517]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5769,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11084_2) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25511,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_0,c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5769]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25512,plain,
% 170.28/170.65 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | ~ c_less(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.65 | 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) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25511]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5767,plain,
% 170.28/170.65 ( c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 170.28/170.65 | ~ c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11085_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25507,plain,
% 170.28/170.65 ( c_in(X0,c_Relation_ORange(X1,X2,X3),X3)
% 170.28/170.65 | ~ c_in(c_Pair(X4,X0,X2,X3),X1,tc_prod(X2,X3)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5767]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25508,plain,
% 170.28/170.65 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 170.28/170.65 | c_in(X1,c_Relation_ORange(X4,X2,X3),X3) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25507]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5765,plain,
% 170.28/170.65 ( c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 170.28/170.65 | ~ c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11086_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25503,plain,
% 170.28/170.65 ( c_in(X0,c_Relation_ODomain(X1,X2,X3),X2)
% 170.28/170.65 | ~ c_in(c_Pair(X0,X4,X2,X3),X1,tc_prod(X2,X3)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5765]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25504,plain,
% 170.28/170.65 ( ~ c_in(c_Pair(X0,X1,X2,X3),X4,tc_prod(X2,X3))
% 170.28/170.65 | c_in(X0,c_Relation_ODomain(X4,X2,X3),X2) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25503]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5735,plain,
% 170.28/170.65 ( X0 = c_List_Olist_ONil
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11093_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25443,plain,
% 170.28/170.65 ( X0 = c_List_Olist_ONil
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5735]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25444,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | X0 = c_List_Olist_ONil ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25443]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5733,plain,
% 170.28/170.65 ( X0 = c_List_Olist_ONil
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11094_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25439,plain,
% 170.28/170.65 ( X0 = c_List_Olist_ONil
% 170.28/170.65 | ~ 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))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5733]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25440,plain,
% 170.28/170.65 ( ~ 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)))
% 170.28/170.65 | X0 = c_List_Olist_ONil ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25439]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5697,plain,
% 170.28/170.65 ( c_less(X0,X1,tc_nat)
% 170.28/170.65 | ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11104_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25367,plain,
% 170.28/170.65 ( c_less(X0,X1,tc_nat)
% 170.28/170.65 | ~ c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5697]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5695,plain,
% 170.28/170.65 ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 170.28/170.65 | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11107_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25363,plain,
% 170.28/170.65 ( ~ c_in(c_Pair(X0,X0,X1,X1),X2,tc_prod(X1,X1))
% 170.28/170.65 | ~ c_Wellfounded__Recursion_Owf(X2,X1) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5695]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25364,plain,
% 170.28/170.65 ( ~ c_Wellfounded__Recursion_Owf(X0,X1)
% 170.28/170.65 | ~ c_in(c_Pair(X2,X2,X1,X1),X0,tc_prod(X1,X1)) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25363]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5693,plain,
% 170.28/170.65 ( 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
% 170.28/170.65 | ~ 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) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11108_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25359,plain,
% 170.28/170.65 ( 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
% 170.28/170.65 | ~ 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) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5693]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25360,plain,
% 170.28/170.65 ( ~ 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)
% 170.28/170.65 | 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 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25359]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5691,plain,
% 170.28/170.65 ( X0 = X1 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11109_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25355,plain,
% 170.28/170.65 ( X0 = X1 | ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5691]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25356,plain,
% 170.28/170.65 ( ~ c_in(c_Pair(X0,X1,X2,X2),c_Relation_OId,tc_prod(X2,X2)) | X0 = X1 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25355]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5689,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11111_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25351,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | ~ c_in(X0,X4,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5689]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5687,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11112_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25347,plain,
% 170.28/170.65 ( 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)))
% 170.28/170.65 | ~ c_in(X0,X3,tc_set(tc_Datatype__Universe_Onode(X1,X2))) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5687]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5682,plain,
% 170.28/170.65 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.65 | ~ c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11115_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25337,plain,
% 170.28/170.65 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.65 | ~ c_in(c_minus(X0,c_insert(X3,X1,X2),tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5682]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25338,plain,
% 170.28/170.65 ( ~ c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 170.28/170.65 | c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25337]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5680,plain,
% 170.28/170.65 ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11118_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25333,plain,
% 170.28/170.65 ( X0 = X1 | c_Pair(X2,X0,X3,X4) != c_Pair(X5,X1,X3,X4) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5680]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25334,plain,
% 170.28/170.65 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X1 = X5 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25333]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5678,plain,
% 170.28/170.65 ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11119_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25329,plain,
% 170.28/170.65 ( X0 = X1 | c_Pair(X0,X2,X3,X4) != c_Pair(X1,X5,X3,X4) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5678]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25330,plain,
% 170.28/170.65 ( c_Pair(X0,X1,X2,X3) != c_Pair(X4,X5,X2,X3) | X0 = X4 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25329]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5676,plain,
% 170.28/170.65 ( X0 = X1
% 170.28/170.65 | c_Datatype__Universe_OScons(X2,X0,X3,X4) != c_Datatype__Universe_OScons(X5,X1,X3,X4) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11120_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25325,plain,
% 170.28/170.65 ( X0 = X1
% 170.28/170.65 | c_Datatype__Universe_OScons(X2,X0,X3,X4) != c_Datatype__Universe_OScons(X5,X1,X3,X4) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5676]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25326,plain,
% 170.28/170.65 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 170.28/170.65 | X1 = X5 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25325]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5674,plain,
% 170.28/170.65 ( X0 = X1
% 170.28/170.65 | c_Datatype__Universe_OScons(X0,X2,X3,X4) != c_Datatype__Universe_OScons(X1,X5,X3,X4) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11121_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25321,plain,
% 170.28/170.65 ( X0 = X1
% 170.28/170.65 | c_Datatype__Universe_OScons(X0,X2,X3,X4) != c_Datatype__Universe_OScons(X1,X5,X3,X4) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5674]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25322,plain,
% 170.28/170.65 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OScons(X4,X5,X2,X3)
% 170.28/170.65 | X0 = X4 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_25321]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5576,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | 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 ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11138_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25125,plain,
% 170.28/170.65 ( 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)
% 170.28/170.65 | 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 ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5576]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5574,plain,
% 170.28/170.65 ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 170.28/170.65 | ~ c_in(X0,X4,X1) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11140_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25121,plain,
% 170.28/170.65 ( c_in(c_Sum__Type_OInr(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X2,X1),tc_sum(X2,X1))
% 170.28/170.65 | ~ c_in(X0,X4,X1) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5574]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5572,plain,
% 170.28/170.65 ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 170.28/170.65 | ~ c_in(X0,X3,X1) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11141_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_25117,plain,
% 170.28/170.65 ( c_in(c_Sum__Type_OInl(X0,X1,X2),c_Sum__Type_OPlus(X3,X4,X1,X2),tc_sum(X1,X2))
% 170.28/170.65 | ~ c_in(X0,X3,X1) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5572]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5466,plain,
% 170.28/170.65 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 170.28/170.65 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11162_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_24905,plain,
% 170.28/170.65 ( c_List_Onth(c_List_Olist__update(X0,X1,X2,X3),X1,X3) = X2
% 170.28/170.65 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X3)),tc_nat) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5466]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_24906,plain,
% 170.28/170.65 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 170.28/170.65 | c_List_Onth(c_List_Olist__update(X1,X0,X3,X2),X0,X2) = X3 ),
% 170.28/170.65 inference(rewriting,[status(thm)],[c_24905]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5464,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 170.28/170.65 | ~ c_in(X0,X2,X1) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11163_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_24901,plain,
% 170.28/170.65 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_Odiag(X2,X1),tc_prod(X1,X1))
% 170.28/170.65 | ~ c_in(X0,X2,X1) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5464]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5462,plain,
% 170.28/170.65 ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 170.28/170.65 | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11164_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_24897,plain,
% 170.28/170.65 ( c_in(c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3))
% 170.28/170.65 | ~ c_in(c_minus(X0,X2,tc_set(X3)),c_Finite__Set_OFinites,tc_set(X3)) ),
% 170.28/170.65 inference(copy,[status(esa)],[c_5462]) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_5460,plain,
% 170.28/170.65 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.65 | 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) ),
% 170.28/170.65 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11165_1) ).
% 170.28/170.65
% 170.28/170.65 cnf(c_24893,plain,
% 170.28/170.65 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5460]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5458,plain,
% 170.28/170.66 ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 170.28/170.66 | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11166_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24889,plain,
% 170.28/170.66 ( c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat))
% 170.28/170.66 | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5458]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24890,plain,
% 170.28/170.66 ( ~ c_less(X0,X1,tc_nat)
% 170.28/170.66 | c_in(c_Pair(X0,X1,tc_nat,tc_nat),c_Wellfounded__Relations_Oless__than,tc_prod(tc_nat,tc_nat)) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24889]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5456,plain,
% 170.28/170.66 ( 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
% 170.28/170.66 | 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 ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11167_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24885,plain,
% 170.28/170.66 ( 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
% 170.28/170.66 | 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 ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5456]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5454,plain,
% 170.28/170.66 ( c_Pair(c_Main_OdiagE__1(X0,X1,X2),c_Main_OdiagE__1(X0,X1,X2),X2,X2) = X1
% 170.28/170.66 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11168_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24881,plain,
% 170.28/170.66 ( c_Pair(c_Main_OdiagE__1(X0,X1,X2),c_Main_OdiagE__1(X0,X1,X2),X2,X2) = X1
% 170.28/170.66 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5454]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24882,plain,
% 170.28/170.66 ( ~ c_in(X0,c_Relation_Odiag(X1,X2),tc_prod(X2,X2))
% 170.28/170.66 | c_Pair(c_Main_OdiagE__1(X1,X0,X2),c_Main_OdiagE__1(X1,X0,X2),X2,X2) = X0 ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24881]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5452,plain,
% 170.28/170.66 ( c_List_Onth(c_List_Odrop(X0,X1,X2),X3,X2) = c_List_Onth(X1,c_plus(X0,X3,tc_nat),X2)
% 170.28/170.66 | ~ c_lessequals(c_plus(X0,X3,tc_nat),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11169_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24877,plain,
% 170.28/170.66 ( c_List_Onth(c_List_Odrop(X0,X1,X2),X3,X2) = c_List_Onth(X1,c_plus(X0,X3,tc_nat),X2)
% 170.28/170.66 | ~ c_lessequals(c_plus(X0,X3,tc_nat),c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5452]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24878,plain,
% 170.28/170.66 ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_Nat_Osize(X2,tc_List_Olist(X3)),tc_nat)
% 170.28/170.66 | c_List_Onth(c_List_Odrop(X0,X2,X3),X1,X3) = c_List_Onth(X2,c_plus(X0,X1,tc_nat),X3) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24877]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5448,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11172_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24869,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5448]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24870,plain,
% 170.28/170.66 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24869]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5446,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_less(c_0,X2,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11173_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24865,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_less(c_0,X2,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5446]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24866,plain,
% 170.28/170.66 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24865]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5443,plain,
% 170.28/170.66 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 170.28/170.66 | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 170.28/170.66 | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11177_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24859,plain,
% 170.28/170.66 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 170.28/170.66 | ~ c_Wellfounded__Recursion_Owf(X0,X2)
% 170.28/170.66 | ~ c_Wellfounded__Recursion_Owf(X1,X3) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5443]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5440,plain,
% 170.28/170.66 ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 170.28/170.66 | ~ c_Relation_Otrans(X0,X2)
% 170.28/170.66 | ~ c_Relation_Otrans(X1,X3) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11178_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24853,plain,
% 170.28/170.66 ( c_Relation_Otrans(c_Wellfounded__Relations_Olex__prod(X0,X1,X2,X3),tc_prod(X2,X3))
% 170.28/170.66 | ~ c_Relation_Otrans(X0,X2)
% 170.28/170.66 | ~ c_Relation_Otrans(X1,X3) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5440]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5320,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 170.28/170.66 | c_lessequals(X2,X4,X0)
% 170.28/170.66 | c_lessequals(X2,X1,X0) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11204_0) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24613,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 170.28/170.66 | c_lessequals(X2,X4,X0)
% 170.28/170.66 | c_lessequals(X2,X1,X0) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5320]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5317,plain,
% 170.28/170.66 ( c_lessequals(X0,X1,X2)
% 170.28/170.66 | c_lessequals(X0,X3,X2)
% 170.28/170.66 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X4,X3,X2),tc_set(X2))
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11204_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24607,plain,
% 170.28/170.66 ( c_lessequals(X0,X1,X2)
% 170.28/170.66 | c_lessequals(X0,X3,X2)
% 170.28/170.66 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X4,X3,X2),tc_set(X2))
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5317]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24608,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 170.28/170.66 | c_lessequals(X2,X1,X0)
% 170.28/170.66 | c_lessequals(X2,X4,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24607]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5316,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 170.28/170.66 | c_lessequals(X3,X1,X0)
% 170.28/170.66 | c_lessequals(X2,X1,X0) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11205_0) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24605,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 170.28/170.66 | c_lessequals(X3,X1,X0)
% 170.28/170.66 | c_lessequals(X2,X1,X0) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5316]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5313,plain,
% 170.28/170.66 ( c_lessequals(X0,X1,X2)
% 170.28/170.66 | c_lessequals(X3,X1,X2)
% 170.28/170.66 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11205_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24599,plain,
% 170.28/170.66 ( c_lessequals(X0,X1,X2)
% 170.28/170.66 | c_lessequals(X3,X1,X2)
% 170.28/170.66 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X0,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5313]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24600,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | ~ c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 170.28/170.66 | c_lessequals(X2,X1,X0)
% 170.28/170.66 | c_lessequals(X3,X1,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24599]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5285,plain,
% 170.28/170.66 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.66 | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11216_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24543,plain,
% 170.28/170.66 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.66 | ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X3,X2),X2),X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5285]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24544,plain,
% 170.28/170.66 ( ~ c_in(X0,c_List_Oset(c_List_Osublist(X1,X2,X3),X3),X3)
% 170.28/170.66 | c_in(X0,c_List_Oset(X1,X3),X3) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24543]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5283,plain,
% 170.28/170.66 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.66 | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X3,X1,X2),X2),X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11217_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24539,plain,
% 170.28/170.66 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.66 | ~ c_in(X0,c_List_Oset(c_List_Oremove1(X3,X1,X2),X2),X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5283]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24540,plain,
% 170.28/170.66 ( ~ c_in(X0,c_List_Oset(c_List_Oremove1(X1,X2,X3),X3),X3)
% 170.28/170.66 | c_in(X0,c_List_Oset(X2,X3),X3) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24539]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5253,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_lessequals(X1,X0,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11225_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24479,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_lessequals(X1,X0,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5253]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24480,plain,
% 170.28/170.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24479]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5251,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_lessequals(X1,X2,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11226_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24475,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_lessequals(X1,X2,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5251]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24476,plain,
% 170.28/170.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24475]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5249,plain,
% 170.28/170.66 ( X0 = X1
% 170.28/170.66 | 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) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11227_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24471,plain,
% 170.28/170.66 ( X0 = X1
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5249]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24472,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | X1 = X4 ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24471]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5247,plain,
% 170.28/170.66 ( X0 = X1
% 170.28/170.66 | 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) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11228_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24467,plain,
% 170.28/170.66 ( X0 = X1
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5247]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24468,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | X0 = X3 ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24467]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5245,plain,
% 170.28/170.66 ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 170.28/170.66 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11229_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24463,plain,
% 170.28/170.66 ( c_List_Olist__update(X0,X1,c_List_Onth(X0,X1,X2),X2) = X0
% 170.28/170.66 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5245]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24464,plain,
% 170.28/170.66 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 170.28/170.66 | c_List_Olist__update(X1,X0,c_List_Onth(X1,X0,X2),X2) = X1 ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24463]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5242,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | X1 = c_Numeral_Obit_OB0
% 170.28/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11232_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24457,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | X1 = c_Numeral_Obit_OB0
% 170.28/170.66 | c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5242]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24458,plain,
% 170.28/170.66 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.66 | 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)
% 170.28/170.66 | X2 = c_Numeral_Obit_OB0 ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24457]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5191,plain,
% 170.28/170.66 ( c_less(X0,X1,X2)
% 170.28/170.66 | ~ c_less(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11244_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24355,plain,
% 170.28/170.66 ( c_less(X0,X1,X2)
% 170.28/170.66 | ~ c_less(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5191]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24356,plain,
% 170.28/170.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.28/170.66 | ~ c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 170.28/170.66 | c_less(X1,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24355]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5188,plain,
% 170.28/170.66 ( c_less(X0,X1,X2)
% 170.28/170.66 | ~ c_less(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11245_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24349,plain,
% 170.28/170.66 ( c_less(X0,X1,X2)
% 170.28/170.66 | ~ c_less(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5188]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24350,plain,
% 170.28/170.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.28/170.66 | ~ c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 170.28/170.66 | c_less(X2,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24349]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5185,plain,
% 170.28/170.66 ( c_lessequals(X0,X1,X2)
% 170.28/170.66 | ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11246_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24343,plain,
% 170.28/170.66 ( c_lessequals(X0,X1,X2)
% 170.28/170.66 | ~ c_lessequals(c_plus(X0,X3,X2),c_plus(X1,X3,X2),X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5185]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24344,plain,
% 170.28/170.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.28/170.66 | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 170.28/170.66 | c_lessequals(X1,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24343]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5182,plain,
% 170.28/170.66 ( c_lessequals(X0,X1,X2)
% 170.28/170.66 | ~ c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11247_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24337,plain,
% 170.28/170.66 ( c_lessequals(X0,X1,X2)
% 170.28/170.66 | ~ c_lessequals(c_plus(X3,X0,X2),c_plus(X3,X1,X2),X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5182]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24338,plain,
% 170.28/170.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.28/170.66 | ~ c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 170.28/170.66 | c_lessequals(X2,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24337]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5151,plain,
% 170.28/170.66 ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11258_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24275,plain,
% 170.28/170.66 ( c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5151]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5149,plain,
% 170.28/170.66 ( c_less(X0,X1,tc_nat)
% 170.28/170.66 | ~ c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11259_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24271,plain,
% 170.28/170.66 ( c_less(X0,X1,tc_nat)
% 170.28/170.66 | ~ c_less(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5149]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24272,plain,
% 170.28/170.66 ( ~ c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 170.28/170.66 | c_less(X1,X2,tc_nat) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24271]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5147,plain,
% 170.28/170.66 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.66 | ~ c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11260_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24267,plain,
% 170.28/170.66 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.66 | ~ c_lessequals(c_plus(X2,X0,tc_nat),c_plus(X2,X1,tc_nat),tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5147]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24268,plain,
% 170.28/170.66 ( ~ c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 170.28/170.66 | c_lessequals(X1,X2,tc_nat) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24267]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5145,plain,
% 170.28/170.66 ( c_less(X0,X1,tc_nat)
% 170.28/170.66 | ~ c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11261_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24263,plain,
% 170.28/170.66 ( c_less(X0,X1,tc_nat)
% 170.28/170.66 | ~ c_less(c_times(X0,X2,tc_nat),c_times(X1,X2,tc_nat),tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5145]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24264,plain,
% 170.28/170.66 ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 170.28/170.66 | c_less(X0,X2,tc_nat) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24263]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5143,plain,
% 170.28/170.66 ( c_less(X0,X1,tc_nat)
% 170.28/170.66 | ~ c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11262_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24259,plain,
% 170.28/170.66 ( c_less(X0,X1,tc_nat)
% 170.28/170.66 | ~ c_less(c_times(X2,X0,tc_nat),c_times(X2,X1,tc_nat),tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5143]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24260,plain,
% 170.28/170.66 ( ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 170.28/170.66 | c_less(X1,X2,tc_nat) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24259]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5141,plain,
% 170.28/170.66 ( c_less(c_0,X0,tc_nat)
% 170.28/170.66 | ~ c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11265_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24255,plain,
% 170.28/170.66 ( c_less(c_0,X0,tc_nat)
% 170.28/170.66 | ~ c_less(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5141]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5139,plain,
% 170.28/170.66 ( c_less(c_0,X0,tc_nat)
% 170.28/170.66 | ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11266_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24251,plain,
% 170.28/170.66 ( c_less(c_0,X0,tc_nat)
% 170.28/170.66 | ~ c_less(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5139]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5111,plain,
% 170.28/170.66 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 170.28/170.66 | ~ c_lessequals(X3,X0,X2)
% 170.28/170.66 | ~ c_lessequals(X1,X4,X2)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11272_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24195,plain,
% 170.28/170.66 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 170.28/170.66 | ~ c_lessequals(X3,X0,X2)
% 170.28/170.66 | ~ c_lessequals(X1,X4,X2)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5111]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24196,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 170.28/170.66 | ~ c_lessequals(X3,X1,X0)
% 170.28/170.66 | ~ c_lessequals(X2,X4,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24195]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5108,plain,
% 170.28/170.66 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 170.28/170.66 | ~ 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)
% 170.28/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11273_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24189,plain,
% 170.28/170.66 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 170.28/170.66 | ~ 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)
% 170.28/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5108]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24190,plain,
% 170.28/170.66 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.66 | ~ 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)
% 170.28/170.66 | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24189]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5106,plain,
% 170.28/170.66 ( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 170.28/170.66 | ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11274_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24185,plain,
% 170.28/170.66 ( c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2)))
% 170.28/170.66 | ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1))) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5106]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24186,plain,
% 170.28/170.66 ( ~ c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 170.28/170.66 | c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24185]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5094,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_in(X0,c_List_Oset(X3,X2),X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11277_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24161,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_in(X0,c_List_Oset(X3,X2),X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5094]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24162,plain,
% 170.28/170.66 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24161]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_5088,plain,
% 170.28/170.66 ( c_List_Otake(X0,c_List_Oupt(X1,X2),tc_nat) = c_List_Oupt(X1,c_plus(X1,X0,tc_nat))
% 170.28/170.66 | ~ c_lessequals(c_plus(X1,X0,tc_nat),X2,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11279_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24149,plain,
% 170.28/170.66 ( c_List_Otake(X0,c_List_Oupt(X1,X2),tc_nat) = c_List_Oupt(X1,c_plus(X1,X0,tc_nat))
% 170.28/170.66 | ~ c_lessequals(c_plus(X1,X0,tc_nat),X2,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_5088]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_24150,plain,
% 170.28/170.66 ( ~ c_lessequals(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 170.28/170.66 | c_List_Otake(X1,c_List_Oupt(X0,X2),tc_nat) = c_List_Oupt(X0,c_plus(X0,X1,tc_nat)) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_24149]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4996,plain,
% 170.28/170.66 ( c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0
% 170.28/170.66 | ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1)) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11302_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23965,plain,
% 170.28/170.66 ( c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0
% 170.28/170.66 | ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1)) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4996]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23966,plain,
% 170.28/170.66 ( ~ c_in(X0,c_Relation_OId,tc_prod(X1,X1))
% 170.28/170.66 | c_Pair(c_Main_OIdE__1(X0,X1),c_Main_OIdE__1(X0,X1),X1,X1) = X0 ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23965]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4993,plain,
% 170.28/170.66 ( c_minus(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X0,X3,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X3,X1,X2)
% 170.28/170.66 | ~ c_lessequals(X0,X3,X2)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11303_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23959,plain,
% 170.28/170.66 ( c_minus(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X0,X3,X2),tc_set(X2)) = c_SetInterval_OatLeastLessThan(X3,X1,X2)
% 170.28/170.66 | ~ c_lessequals(X0,X3,X2)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4993]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23960,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.66 | c_minus(c_SetInterval_OatLeastLessThan(X1,X3,X0),c_SetInterval_OatLeastLessThan(X1,X2,X0),tc_set(X0)) = c_SetInterval_OatLeastLessThan(X2,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23959]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4990,plain,
% 170.28/170.66 ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(X0,X3,X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11307_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23953,plain,
% 170.28/170.66 ( c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(X0,X3,X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4990]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4984,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11313_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23941,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X2,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4984]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23942,plain,
% 170.28/170.66 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23941]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4942,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11322_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23857,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4942]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23858,plain,
% 170.28/170.66 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23857]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4940,plain,
% 170.28/170.66 ( 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
% 170.28/170.66 | 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 ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11323_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23853,plain,
% 170.28/170.66 ( 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
% 170.28/170.66 | 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 ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4940]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4929,plain,
% 170.28/170.66 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.66 | 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) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11326_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23831,plain,
% 170.28/170.66 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4929]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4927,plain,
% 170.28/170.66 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.66 | 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) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11327_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23827,plain,
% 170.28/170.66 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4927]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4900,plain,
% 170.28/170.66 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_minus(X0,c_minus(X2,X1,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_lessequals(X1,X2,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11333_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23773,plain,
% 170.28/170.66 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_minus(X0,c_minus(X2,X1,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_lessequals(X1,X2,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4900]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23774,plain,
% 170.28/170.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 170.28/170.66 | c_minus(c_plus(X2,X0,tc_nat),X1,tc_nat) = c_minus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23773]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4898,plain,
% 170.28/170.66 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(X0,c_minus(X1,X2,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_lessequals(X2,X1,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11334_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23769,plain,
% 170.28/170.66 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(X0,c_minus(X1,X2,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_lessequals(X2,X1,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4898]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23770,plain,
% 170.28/170.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 170.28/170.66 | c_minus(c_plus(X2,X1,tc_nat),X0,tc_nat) = c_plus(X2,c_minus(X1,X0,tc_nat),tc_nat) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23769]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4896,plain,
% 170.28/170.66 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(c_minus(X0,X2,tc_nat),X1,tc_nat)
% 170.28/170.66 | ~ c_lessequals(X2,X0,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11335_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23765,plain,
% 170.28/170.66 ( c_minus(c_plus(X0,X1,tc_nat),X2,tc_nat) = c_plus(c_minus(X0,X2,tc_nat),X1,tc_nat)
% 170.28/170.66 | ~ c_lessequals(X2,X0,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4896]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23766,plain,
% 170.28/170.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 170.28/170.66 | c_minus(c_plus(X1,X2,tc_nat),X0,tc_nat) = c_plus(c_minus(X1,X0,tc_nat),X2,tc_nat) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23765]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4889,plain,
% 170.28/170.66 ( c_div(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat) = c_div(X0,X2,tc_nat)
% 170.28/170.66 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11338_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23751,plain,
% 170.28/170.66 ( c_div(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat) = c_div(X0,X2,tc_nat)
% 170.28/170.66 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4889]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23752,plain,
% 170.28/170.66 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.66 | c_div(c_times(X1,X0,tc_nat),c_times(X2,X0,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23751]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4887,plain,
% 170.28/170.66 ( c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat)
% 170.28/170.66 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11339_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23747,plain,
% 170.28/170.66 ( c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat)
% 170.28/170.66 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4887]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23748,plain,
% 170.28/170.66 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.66 | c_div(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat) = c_div(X1,X2,tc_nat) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23747]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4881,plain,
% 170.28/170.66 ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 170.28/170.66 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11341_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23735,plain,
% 170.28/170.66 ( c_in(c_Relation_Oconverse(X0,X1,X2),c_Finite__Set_OFinites,tc_set(tc_prod(X2,X1)))
% 170.28/170.66 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_prod(X1,X2))) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4881]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4874,plain,
% 170.28/170.66 ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 170.28/170.66 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11343_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23721,plain,
% 170.28/170.66 ( c_List_Olist__update(X0,X1,X2,X3) = X0
% 170.28/170.66 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X3)),X1,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4874]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23722,plain,
% 170.28/170.66 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 170.28/170.66 | c_List_Olist__update(X0,X2,X3,X1) = X0 ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23721]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4872,plain,
% 170.28/170.66 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(c_List_Olist_OCons(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11344_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23717,plain,
% 170.28/170.66 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(c_List_Olist_OCons(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4872]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23718,plain,
% 170.28/170.66 ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.66 | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23717]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4866,plain,
% 170.28/170.66 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11346_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23705,plain,
% 170.28/170.66 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(c_append(X3,X0,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4866]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23706,plain,
% 170.28/170.66 ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.66 | c_in(X1,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23705]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4864,plain,
% 170.28/170.66 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(c_append(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11347_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23701,plain,
% 170.28/170.66 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(c_append(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4864]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23702,plain,
% 170.28/170.66 ( ~ c_in(c_append(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.66 | c_in(X0,c_List_Olists(X3,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23701]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4862,plain,
% 170.28/170.66 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.66 | 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 ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11348_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23697,plain,
% 170.28/170.66 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.66 | 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 ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4862]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4859,plain,
% 170.28/170.66 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.66 | c_less(c_0,X1,tc_nat)
% 170.28/170.66 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11349_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23691,plain,
% 170.28/170.66 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.28/170.66 | c_less(c_0,X1,tc_nat)
% 170.28/170.66 | ~ c_less(c_0,c_Nat_Opower(X1,c_Numeral_Onumber__of(X0,tc_nat),tc_nat),tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4859]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23692,plain,
% 170.28/170.66 ( ~ c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 170.28/170.66 | c_less(c_0,X0,tc_nat)
% 170.28/170.66 | c_Numeral_Onumber__of(X1,tc_nat) = c_0 ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23691]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4857,plain,
% 170.28/170.66 ( c_List_Onth(c_List_Oupt(X0,X1),X2,tc_nat) = c_plus(X0,X2,tc_nat)
% 170.28/170.66 | ~ c_less(c_plus(X0,X2,tc_nat),X1,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11350_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23687,plain,
% 170.28/170.66 ( c_List_Onth(c_List_Oupt(X0,X1),X2,tc_nat) = c_plus(X0,X2,tc_nat)
% 170.28/170.66 | ~ c_less(c_plus(X0,X2,tc_nat),X1,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4857]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23688,plain,
% 170.28/170.66 ( ~ c_less(c_plus(X0,X1,tc_nat),X2,tc_nat)
% 170.28/170.66 | c_List_Onth(c_List_Oupt(X0,X2),X1,tc_nat) = c_plus(X0,X1,tc_nat) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23687]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4855,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11351_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23683,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4855]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23684,plain,
% 170.28/170.66 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23683]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4853,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11352_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23679,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4853]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23680,plain,
% 170.28/170.66 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23679]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4827,plain,
% 170.28/170.66 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.66 | 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)
% 170.28/170.66 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11357_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23627,plain,
% 170.28/170.66 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.66 | 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)
% 170.28/170.66 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4827]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23628,plain,
% 170.28/170.66 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.66 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23627]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4819,plain,
% 170.28/170.66 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 170.28/170.66 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11359_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23611,plain,
% 170.28/170.66 ( c_lessequals(c_SetInterval_OatLeastLessThan(X0,X1,X2),c_SetInterval_OatLeastLessThan(X3,X4,X2),tc_set(X2))
% 170.28/170.66 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4819]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23612,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | c_lessequals(c_SetInterval_OatLeastLessThan(X1,X2,X0),c_SetInterval_OatLeastLessThan(X3,X4,X0),tc_set(X0))
% 170.28/170.66 | ~ c_lessequals(X2,X1,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23611]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4814,plain,
% 170.28/170.66 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.66 | ~ c_less(X0,c_0,X1)
% 170.28/170.66 | ~ c_less(X2,c_0,X1)
% 170.28/170.66 | ~ c_less(X2,X0,X1)
% 170.28/170.66 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11360_4) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23601,plain,
% 170.28/170.66 ( c_less(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.66 | ~ c_less(X0,c_0,X1)
% 170.28/170.66 | ~ c_less(X2,c_0,X1)
% 170.28/170.66 | ~ c_less(X2,X0,X1)
% 170.28/170.66 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4814]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4804,plain,
% 170.28/170.66 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.66 | ~ c_lessequals(X2,X0,X1)
% 170.28/170.66 | ~ c_less(X0,c_0,X1)
% 170.28/170.66 | ~ c_less(X2,c_0,X1)
% 170.28/170.66 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11362_4) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23581,plain,
% 170.28/170.66 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.66 | ~ c_lessequals(X2,X0,X1)
% 170.28/170.66 | ~ c_less(X0,c_0,X1)
% 170.28/170.66 | ~ c_less(X2,c_0,X1)
% 170.28/170.66 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4804]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4799,plain,
% 170.28/170.66 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.66 | ~ c_lessequals(X2,X0,X1)
% 170.28/170.66 | ~ c_less(c_0,X0,X1)
% 170.28/170.66 | ~ c_less(c_0,X2,X1)
% 170.28/170.66 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11363_4) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23571,plain,
% 170.28/170.66 ( c_lessequals(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1)
% 170.28/170.66 | ~ c_lessequals(X2,X0,X1)
% 170.28/170.66 | ~ c_less(c_0,X0,X1)
% 170.28/170.66 | ~ c_less(c_0,X2,X1)
% 170.28/170.66 | ~ class_Ring__and__Field_Oordered__field(X1) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4799]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4797,plain,
% 170.28/170.66 ( c_insert(X0,X1,X2) = c_insert(X0,c_emptyset,X2)
% 170.28/170.66 | ~ c_lessequals(X1,c_insert(X0,c_emptyset,X2),tc_set(X2)) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11364_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23567,plain,
% 170.28/170.66 ( c_insert(X0,X1,X2) = c_insert(X0,c_emptyset,X2)
% 170.28/170.66 | ~ c_lessequals(X1,c_insert(X0,c_emptyset,X2),tc_set(X2)) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4797]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23568,plain,
% 170.28/170.66 ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 170.28/170.66 | c_insert(X1,X0,X2) = c_insert(X1,c_emptyset,X2) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23567]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4795,plain,
% 170.28/170.66 ( c_insert(X0,c_emptyset,X1) = c_insert(X0,X2,X1)
% 170.28/170.66 | ~ c_lessequals(X2,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11365_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23563,plain,
% 170.28/170.66 ( c_insert(X0,c_emptyset,X1) = c_insert(X0,X2,X1)
% 170.28/170.66 | ~ c_lessequals(X2,c_insert(X0,c_emptyset,X1),tc_set(X1)) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4795]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23564,plain,
% 170.28/170.66 ( ~ c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 170.28/170.66 | c_insert(X1,c_emptyset,X2) = c_insert(X1,X0,X2) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23563]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4790,plain,
% 170.28/170.66 ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11367_0) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23553,plain,
% 170.28/170.66 ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X2,X3) | c_in(X0,X1,X3) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4790]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4788,plain,
% 170.28/170.66 ( c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_in(X0,c_union(X1,X3,X2),X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11367_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23549,plain,
% 170.28/170.66 ( c_in(X0,X1,X2) | c_in(X0,X3,X2) | ~ c_in(X0,c_union(X1,X3,X2),X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4788]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23550,plain,
% 170.28/170.66 ( ~ c_in(X0,c_union(X1,X2,X3),X3) | c_in(X0,X1,X3) | c_in(X0,X2,X3) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23549]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4785,plain,
% 170.28/170.66 ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 170.28/170.66 | ~ c_less(X0,X3,X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11368_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23543,plain,
% 170.28/170.66 ( c_less(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 170.28/170.66 | ~ c_less(X0,X3,X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4785]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23544,plain,
% 170.28/170.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.28/170.66 | c_less(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 170.28/170.66 | ~ c_less(X1,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23543]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4782,plain,
% 170.28/170.66 ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 170.28/170.66 | ~ c_less(X1,X3,X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11369_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23537,plain,
% 170.28/170.66 ( c_less(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 170.28/170.66 | ~ c_less(X1,X3,X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4782]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23538,plain,
% 170.28/170.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.28/170.66 | c_less(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 170.28/170.66 | ~ c_less(X2,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23537]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4779,plain,
% 170.28/170.66 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 170.28/170.66 | ~ c_lessequals(X0,X3,X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11370_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23531,plain,
% 170.28/170.66 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X3,X1,X2),X2)
% 170.28/170.66 | ~ c_lessequals(X0,X3,X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4779]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23532,plain,
% 170.28/170.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.28/170.66 | c_lessequals(c_plus(X1,X2,X0),c_plus(X3,X2,X0),X0)
% 170.28/170.66 | ~ c_lessequals(X1,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23531]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4776,plain,
% 170.28/170.66 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 170.28/170.66 | ~ c_lessequals(X1,X3,X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11371_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23525,plain,
% 170.28/170.66 ( c_lessequals(c_plus(X0,X1,X2),c_plus(X0,X3,X2),X2)
% 170.28/170.66 | ~ c_lessequals(X1,X3,X2)
% 170.28/170.66 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4776]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23526,plain,
% 170.28/170.66 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.28/170.66 | c_lessequals(c_plus(X1,X2,X0),c_plus(X1,X3,X0),X0)
% 170.28/170.66 | ~ c_lessequals(X2,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23525]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4773,plain,
% 170.28/170.66 ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 170.28/170.66 | ~ c_lessequals(X0,X3,tc_set(X2))
% 170.28/170.66 | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11372_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23519,plain,
% 170.28/170.66 ( c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 170.28/170.66 | ~ c_lessequals(X0,X3,tc_set(X2))
% 170.28/170.66 | ~ c_lessequals(X1,X3,tc_set(X2)) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4773]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4770,plain,
% 170.28/170.66 ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 170.28/170.66 | ~ c_lessequals(X0,X1,tc_set(X3))
% 170.28/170.66 | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11373_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23513,plain,
% 170.28/170.66 ( c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 170.28/170.66 | ~ c_lessequals(X0,X1,tc_set(X3))
% 170.28/170.66 | ~ c_lessequals(X0,X2,tc_set(X3)) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4770]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4768,plain,
% 170.28/170.66 ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11374_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23509,plain,
% 170.28/170.66 ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | ~ c_in(X0,X2,X3) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4768]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4766,plain,
% 170.28/170.66 ( c_in(X0,X1,X2)
% 170.28/170.66 | ~ c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11375_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23505,plain,
% 170.28/170.66 ( c_in(X0,X1,X2)
% 170.28/170.66 | ~ c_in(c_List_Olist_OCons(X0,X3,X2),c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4766]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23506,plain,
% 170.28/170.66 ( ~ c_in(c_List_Olist_OCons(X0,X1,X2),c_List_Olists(X3,X2),tc_List_Olist(X2))
% 170.28/170.66 | c_in(X0,X3,X2) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23505]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4759,plain,
% 170.28/170.66 ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.66 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.66 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11379_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23491,plain,
% 170.28/170.66 ( c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.66 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.66 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4759]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4750,plain,
% 170.28/170.66 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.66 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11381_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23473,plain,
% 170.28/170.66 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.66 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4750]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4747,plain,
% 170.28/170.66 ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 170.28/170.66 | ~ c_lessequals(X1,X3,tc_set(X2))
% 170.28/170.66 | ~ c_in(X0,X3,X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11382_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23467,plain,
% 170.28/170.66 ( c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 170.28/170.66 | ~ c_lessequals(X1,X3,tc_set(X2))
% 170.28/170.66 | ~ c_in(X0,X3,X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4747]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4744,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ class_Power_Orecpower(X1)
% 170.28/170.66 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11383_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23461,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ class_Power_Orecpower(X1)
% 170.28/170.66 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4744]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23462,plain,
% 170.28/170.66 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.66 | ~ class_Power_Orecpower(X0)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23461]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4743,plain,
% 170.28/170.66 ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.66 | c_less(c_0,X1,tc_nat)
% 170.28/170.66 | c_less(c_0,X0,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11384_0) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23459,plain,
% 170.28/170.66 ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.66 | c_less(c_0,X1,tc_nat)
% 170.28/170.66 | c_less(c_0,X0,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4743]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4741,plain,
% 170.28/170.66 ( c_less(c_0,X0,tc_nat)
% 170.28/170.66 | c_less(c_0,X1,tc_nat)
% 170.28/170.66 | ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11384_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23455,plain,
% 170.28/170.66 ( c_less(c_0,X0,tc_nat)
% 170.28/170.66 | c_less(c_0,X1,tc_nat)
% 170.28/170.66 | ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4741]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23456,plain,
% 170.28/170.66 ( ~ c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.66 | c_less(c_0,X0,tc_nat)
% 170.28/170.66 | c_less(c_0,X1,tc_nat) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23455]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4699,plain,
% 170.28/170.66 ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_less(X1,X2,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11393_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23371,plain,
% 170.28/170.66 ( c_less(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_less(X1,X2,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4699]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4697,plain,
% 170.28/170.66 ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_lessequals(X1,X2,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11394_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23367,plain,
% 170.28/170.66 ( c_lessequals(c_plus(X0,X1,tc_nat),c_plus(X0,X2,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_lessequals(X1,X2,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4697]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4695,plain,
% 170.28/170.66 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_lessequals(X0,X2,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11395_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23363,plain,
% 170.28/170.66 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_lessequals(X0,X2,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4695]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4693,plain,
% 170.28/170.66 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_lessequals(X1,X2,tc_nat) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11396_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23359,plain,
% 170.28/170.66 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 170.28/170.66 | ~ c_lessequals(X1,X2,tc_nat) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4693]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4671,plain,
% 170.28/170.66 ( ~ class_Orderings_Oord(X0)
% 170.28/170.66 | ~ c_less(X1,X2,X0)
% 170.28/170.66 | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0)
% 170.28/170.66 | ~ c_less(X3,X1,X0) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11401_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23315,plain,
% 170.28/170.66 ( ~ class_Orderings_Oord(X0)
% 170.28/170.66 | ~ c_less(X1,X2,X0)
% 170.28/170.66 | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0)
% 170.28/170.66 | ~ c_less(X3,X1,X0) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4671]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23316,plain,
% 170.28/170.66 ( ~ class_Orderings_Oord(X0)
% 170.28/170.66 | ~ c_less(X1,X2,X0)
% 170.28/170.66 | ~ c_less(X3,X1,X0)
% 170.28/170.66 | c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23315]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4659,plain,
% 170.28/170.66 ( ~ class_Orderings_Oord(X0)
% 170.28/170.66 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.66 | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0)
% 170.28/170.66 | ~ c_lessequals(X3,X1,X0) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11404_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23291,plain,
% 170.28/170.66 ( ~ class_Orderings_Oord(X0)
% 170.28/170.66 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.66 | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0)
% 170.28/170.66 | ~ c_lessequals(X3,X1,X0) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4659]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23292,plain,
% 170.28/170.66 ( ~ class_Orderings_Oord(X0)
% 170.28/170.66 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.66 | ~ c_lessequals(X3,X1,X0)
% 170.28/170.66 | c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23291]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4653,plain,
% 170.28/170.66 ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 170.28/170.66 | ~ c_lessequals(X0,X3,X2)
% 170.28/170.66 | ~ c_lessequals(X1,X3,X2)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11405_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23279,plain,
% 170.28/170.66 ( c_lessequals(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 170.28/170.66 | ~ c_lessequals(X0,X3,X2)
% 170.28/170.66 | ~ c_lessequals(X1,X3,X2)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4653]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23280,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 170.28/170.66 | ~ c_lessequals(X1,X3,X0)
% 170.28/170.66 | ~ c_lessequals(X2,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23279]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4649,plain,
% 170.28/170.66 ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 170.28/170.66 | ~ c_lessequals(X0,X1,X3)
% 170.28/170.66 | ~ c_lessequals(X0,X2,X3)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X3) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11406_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23271,plain,
% 170.28/170.66 ( c_lessequals(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 170.28/170.66 | ~ c_lessequals(X0,X1,X3)
% 170.28/170.66 | ~ c_lessequals(X0,X2,X3)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X3) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4649]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23272,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 170.28/170.66 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.66 | ~ c_lessequals(X1,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23271]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4645,plain,
% 170.28/170.66 ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 170.28/170.66 | ~ c_less(X0,X1,X3)
% 170.28/170.66 | ~ c_less(X0,X2,X3)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X3) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11407_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23263,plain,
% 170.28/170.66 ( c_less(X0,c_Orderings_Omin(X1,X2,X3),X3)
% 170.28/170.66 | ~ c_less(X0,X1,X3)
% 170.28/170.66 | ~ c_less(X0,X2,X3)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X3) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4645]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23264,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 170.28/170.66 | ~ c_less(X1,X2,X0)
% 170.28/170.66 | ~ c_less(X1,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23263]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4641,plain,
% 170.28/170.66 ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 170.28/170.66 | ~ c_less(X0,X3,X2)
% 170.28/170.66 | ~ c_less(X1,X3,X2)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11408_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23255,plain,
% 170.28/170.66 ( c_less(c_Orderings_Omax(X0,X1,X2),X3,X2)
% 170.28/170.66 | ~ c_less(X0,X3,X2)
% 170.28/170.66 | ~ c_less(X1,X3,X2)
% 170.28/170.66 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4641]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23256,plain,
% 170.28/170.66 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.66 | c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 170.28/170.66 | ~ c_less(X1,X3,X0)
% 170.28/170.66 | ~ c_less(X2,X3,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23255]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4639,plain,
% 170.28/170.66 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(c_Main_Oin__listsI__1(X1,X0,X2),X1,X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11409_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23251,plain,
% 170.28/170.66 ( c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.66 | ~ c_in(c_Main_Oin__listsI__1(X1,X0,X2),X1,X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4639]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23252,plain,
% 170.28/170.66 ( ~ c_in(c_Main_Oin__listsI__1(X0,X1,X2),X0,X2)
% 170.28/170.66 | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23251]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4635,plain,
% 170.28/170.66 ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset | ~ c_in(X0,X3,X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11411_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23243,plain,
% 170.28/170.66 ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset | ~ c_in(X0,X3,X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4635]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23244,plain,
% 170.28/170.66 ( ~ c_in(X0,X1,X2) | c_inter(c_insert(X0,X3,X2),X1,X2) != c_emptyset ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23243]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4631,plain,
% 170.28/170.66 ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset | ~ c_in(X1,X0,X3) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11413_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23235,plain,
% 170.28/170.66 ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset | ~ c_in(X1,X0,X3) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4631]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23236,plain,
% 170.28/170.66 ( ~ c_in(X0,X1,X2) | c_inter(X1,c_insert(X0,X3,X2),X2) != c_emptyset ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23235]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4608,plain,
% 170.28/170.66 ( c_divide(c_times(X0,X1,X2),c_times(X3,X1,X2),X2) = c_divide(X0,X3,X2)
% 170.28/170.66 | X1 = c_0
% 170.28/170.66 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11418_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23189,plain,
% 170.28/170.66 ( c_divide(c_times(X0,X1,X2),c_times(X3,X1,X2),X2) = c_divide(X0,X3,X2)
% 170.28/170.66 | X1 = c_0
% 170.28/170.66 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4608]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23190,plain,
% 170.28/170.66 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.66 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.66 | c_divide(c_times(X1,X2,X0),c_times(X3,X2,X0),X0) = c_divide(X1,X3,X0)
% 170.28/170.66 | X2 = c_0 ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23189]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4604,plain,
% 170.28/170.66 ( c_divide(c_times(X0,X1,X2),c_times(X0,X3,X2),X2) = c_divide(X1,X3,X2)
% 170.28/170.66 | X0 = c_0
% 170.28/170.66 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11419_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23181,plain,
% 170.28/170.66 ( c_divide(c_times(X0,X1,X2),c_times(X0,X3,X2),X2) = c_divide(X1,X3,X2)
% 170.28/170.66 | X0 = c_0
% 170.28/170.66 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4604]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23182,plain,
% 170.28/170.66 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.66 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.66 | c_divide(c_times(X1,X2,X0),c_times(X1,X3,X0),X0) = c_divide(X2,X3,X0)
% 170.28/170.66 | X1 = c_0 ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23181]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4602,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11420_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23177,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4602]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23178,plain,
% 170.28/170.66 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23177]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4599,plain,
% 170.28/170.66 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_divide(X0,c_divide(X3,X1,X2),X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11421_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23171,plain,
% 170.28/170.66 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_divide(X0,c_divide(X3,X1,X2),X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4599]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23172,plain,
% 170.28/170.66 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.66 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.66 | c_divide(c_times(X1,X2,X0),X3,X0) = c_divide(X1,c_divide(X3,X2,X0),X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23171]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4596,plain,
% 170.28/170.66 ( c_divide(c_divide(X0,X1,X2),X3,X2) = c_divide(X0,c_times(X1,X3,X2),X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11422_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23165,plain,
% 170.28/170.66 ( c_divide(c_divide(X0,X1,X2),X3,X2) = c_divide(X0,c_times(X1,X3,X2),X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4596]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23166,plain,
% 170.28/170.66 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.66 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.66 | c_divide(c_divide(X1,X2,X0),X3,X0) = c_divide(X1,c_times(X2,X3,X0),X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23165]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4592,plain,
% 170.28/170.66 ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 170.28/170.66 | ~ c_in(X0,c_IntDef_ONats,X2)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_ONats,X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11423_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23157,plain,
% 170.28/170.66 ( c_in(c_times(X0,X1,X2),c_IntDef_ONats,X2)
% 170.28/170.66 | ~ c_in(X0,c_IntDef_ONats,X2)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_ONats,X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4592]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23158,plain,
% 170.28/170.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.28/170.66 | c_in(c_times(X1,X2,X0),c_IntDef_ONats,X0)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_ONats,X0)
% 170.28/170.66 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23157]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4588,plain,
% 170.28/170.66 ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 170.28/170.66 | ~ c_in(X0,c_IntDef_ONats,X2)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_ONats,X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11424_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23149,plain,
% 170.28/170.66 ( c_in(c_plus(X0,X1,X2),c_IntDef_ONats,X2)
% 170.28/170.66 | ~ c_in(X0,c_IntDef_ONats,X2)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_ONats,X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4588]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23150,plain,
% 170.28/170.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.28/170.66 | c_in(c_plus(X1,X2,X0),c_IntDef_ONats,X0)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_ONats,X0)
% 170.28/170.66 | ~ c_in(X2,c_IntDef_ONats,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23149]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4584,plain,
% 170.28/170.66 ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 170.28/170.66 | ~ c_in(X0,c_IntDef_OInts,X2)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_OInts,X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11425_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23141,plain,
% 170.28/170.66 ( c_in(c_times(X0,X1,X2),c_IntDef_OInts,X2)
% 170.28/170.66 | ~ c_in(X0,c_IntDef_OInts,X2)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_OInts,X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4584]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23142,plain,
% 170.28/170.66 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.66 | c_in(c_times(X1,X2,X0),c_IntDef_OInts,X0)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_OInts,X0)
% 170.28/170.66 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23141]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4580,plain,
% 170.28/170.66 ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 170.28/170.66 | ~ c_in(X0,c_IntDef_OInts,X2)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_OInts,X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11426_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23133,plain,
% 170.28/170.66 ( c_in(c_minus(X0,X1,X2),c_IntDef_OInts,X2)
% 170.28/170.66 | ~ c_in(X0,c_IntDef_OInts,X2)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_OInts,X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4580]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23134,plain,
% 170.28/170.66 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.66 | c_in(c_minus(X1,X2,X0),c_IntDef_OInts,X0)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_OInts,X0)
% 170.28/170.66 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23133]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4576,plain,
% 170.28/170.66 ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 170.28/170.66 | ~ c_in(X0,c_IntDef_OInts,X2)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_OInts,X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11427_3) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23125,plain,
% 170.28/170.66 ( c_in(c_plus(X0,X1,X2),c_IntDef_OInts,X2)
% 170.28/170.66 | ~ c_in(X0,c_IntDef_OInts,X2)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_OInts,X2)
% 170.28/170.66 | ~ class_Ring__and__Field_Ocomm__ring__1(X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4576]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23126,plain,
% 170.28/170.66 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.66 | c_in(c_plus(X1,X2,X0),c_IntDef_OInts,X0)
% 170.28/170.66 | ~ c_in(X1,c_IntDef_OInts,X0)
% 170.28/170.66 | ~ c_in(X2,c_IntDef_OInts,X0) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23125]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4570,plain,
% 170.28/170.66 ( c_in(X0,c_Inter(X1,X2),X2)
% 170.28/170.66 | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11429_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23113,plain,
% 170.28/170.66 ( c_in(X0,c_Inter(X1,X2),X2)
% 170.28/170.66 | ~ c_in(X0,c_Main_OInterI__1(X0,X1,X2),X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4570]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4568,plain,
% 170.28/170.66 ( c_in(X0,c_Inter(X1,X2),X2)
% 170.28/170.66 | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11430_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23109,plain,
% 170.28/170.66 ( c_in(X0,c_Inter(X1,X2),X2)
% 170.28/170.66 | ~ c_in(X0,c_Main_OInter__iff__1(X0,X1,X2),X2) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4568]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4561,plain,
% 170.28/170.66 ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11432_2) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23095,plain,
% 170.28/170.66 ( c_in(X0,c_inter(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) | ~ c_in(X0,X2,X3) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4561]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4559,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11433_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23091,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4559]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23092,plain,
% 170.28/170.66 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23091]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4557,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11434_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23087,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4557]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23088,plain,
% 170.28/170.66 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23087]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4555,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_List_Odistinct(X0,X1) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11435_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23083,plain,
% 170.28/170.66 ( 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)
% 170.28/170.66 | ~ c_List_Odistinct(X0,X1) ),
% 170.28/170.66 inference(copy,[status(esa)],[c_4555]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23084,plain,
% 170.28/170.66 ( ~ c_List_Odistinct(X0,X1)
% 170.28/170.66 | 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) ),
% 170.28/170.66 inference(rewriting,[status(thm)],[c_23083]) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_4553,plain,
% 170.28/170.66 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 170.28/170.66 | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 170.28/170.66 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11436_1) ).
% 170.28/170.66
% 170.28/170.66 cnf(c_23079,plain,
% 170.28/170.66 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 170.28/170.66 | c_insert(X3,X0,X2) != c_insert(X1,c_emptyset,X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4553]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4551,plain,
% 170.28/170.67 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 170.28/170.67 | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11437_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23075,plain,
% 170.28/170.67 ( c_lessequals(X0,c_insert(X1,c_emptyset,X2),tc_set(X2))
% 170.28/170.67 | c_insert(X1,c_emptyset,X2) != c_insert(X3,X0,X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4551]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4548,plain,
% 170.28/170.67 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11438_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23069,plain,
% 170.28/170.67 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | ~ c_in(c_Main_Ofinite__Union__1(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4548]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4546,plain,
% 170.28/170.67 ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 170.28/170.67 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11440_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23065,plain,
% 170.28/170.67 ( c_in(c_List_Onth(X0,X1,X2),c_List_Oset(X0,X2),X2)
% 170.28/170.67 | ~ c_less(X1,c_Nat_Osize(X0,tc_List_Olist(X2)),tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4546]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23066,plain,
% 170.28/170.67 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 170.28/170.67 | c_in(c_List_Onth(X1,X0,X2),c_List_Oset(X1,X2),X2) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_23065]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4544,plain,
% 170.28/170.67 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(c_divide(X0,X3,X2),X1,X2)
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11441_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23061,plain,
% 170.28/170.67 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(c_divide(X0,X3,X2),X1,X2)
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4544]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23062,plain,
% 170.28/170.67 ( ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.67 | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(c_divide(X1,X3,X0),X2,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_23061]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4542,plain,
% 170.28/170.67 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_divide(X1,X3,X2),X2)
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11442_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23057,plain,
% 170.28/170.67 ( c_divide(c_times(X0,X1,X2),X3,X2) = c_times(X0,c_divide(X1,X3,X2),X2)
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4542]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23058,plain,
% 170.28/170.67 ( ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.67 | c_divide(c_times(X1,X2,X0),X3,X0) = c_times(X1,c_divide(X2,X3,X0),X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_23057]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4523,plain,
% 170.28/170.67 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 170.28/170.67 | ~ 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)
% 170.28/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11447_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23019,plain,
% 170.28/170.67 ( c_Numeral_Onumber__of(X0,X1) = c_1
% 170.28/170.67 | ~ 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)
% 170.28/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4523]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23020,plain,
% 170.28/170.67 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.67 | ~ 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)
% 170.28/170.67 | c_Numeral_Onumber__of(X1,X0) = c_1 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_23019]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4521,plain,
% 170.28/170.67 ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 170.28/170.67 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11448_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23015,plain,
% 170.28/170.67 ( c_in(c_Main_OdiagE__1(X0,X1,X2),X0,X2)
% 170.28/170.67 | ~ c_in(X1,c_Relation_Odiag(X0,X2),tc_prod(X2,X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4521]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4519,plain,
% 170.28/170.67 ( c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11452_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23011,plain,
% 170.28/170.67 ( c_in(X0,X1,X2) | ~ c_in(X0,c_minus(X1,X3,tc_set(X2)),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4519]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23012,plain,
% 170.28/170.67 ( ~ c_in(X0,c_minus(X1,X2,tc_set(X3)),X3) | c_in(X0,X1,X3) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_23011]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4516,plain,
% 170.28/170.67 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 170.28/170.67 | X1 = X0
% 170.28/170.67 | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 170.28/170.67 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11454_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23005,plain,
% 170.28/170.67 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 170.28/170.67 | X1 = X0
% 170.28/170.67 | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 170.28/170.67 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4516]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_23006,plain,
% 170.28/170.67 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 170.28/170.67 | ~ c_in(X1,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 170.28/170.67 | c_IntDef_OAbs__Integ(X1) != c_IntDef_OAbs__Integ(X0)
% 170.28/170.67 | X1 = X0 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_23005]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4511,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11456_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22995,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_lessequals(c_insert(X3,X0,X2),X1,tc_set(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4511]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22996,plain,
% 170.28/170.67 ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2))
% 170.28/170.67 | c_lessequals(X1,X3,tc_set(X2)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22995]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4509,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11457_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22991,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_lessequals(c_union(X3,X0,X2),X1,tc_set(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4509]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22992,plain,
% 170.28/170.67 ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 170.28/170.67 | c_lessequals(X1,X3,tc_set(X2)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22991]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4507,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11458_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22987,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_lessequals(c_union(X0,X3,X2),X1,tc_set(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4507]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22988,plain,
% 170.28/170.67 ( ~ c_lessequals(c_union(X0,X1,X2),X3,tc_set(X2))
% 170.28/170.67 | c_lessequals(X0,X3,tc_set(X2)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22987]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4505,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11459_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22983,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_lessequals(X0,c_inter(X3,X1,X2),tc_set(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4505]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22984,plain,
% 170.28/170.67 ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 170.28/170.67 | c_lessequals(X0,X2,tc_set(X3)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22983]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4503,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_lessequals(X0,c_inter(X1,X3,X2),tc_set(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11460_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22979,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_lessequals(X0,c_inter(X1,X3,X2),tc_set(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4503]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22980,plain,
% 170.28/170.67 ( ~ c_lessequals(X0,c_inter(X1,X2,X3),tc_set(X3))
% 170.28/170.67 | c_lessequals(X0,X1,tc_set(X3)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22979]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4498,plain,
% 170.28/170.67 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | ~ c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11467_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22969,plain,
% 170.28/170.67 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | ~ c_in(c_insert(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4498]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22970,plain,
% 170.28/170.67 ( ~ c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22969]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4496,plain,
% 170.28/170.67 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | ~ c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11468_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22965,plain,
% 170.28/170.67 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | ~ c_in(c_union(X2,X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4496]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22966,plain,
% 170.28/170.67 ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22965]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4494,plain,
% 170.28/170.67 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | ~ c_in(c_union(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11469_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22961,plain,
% 170.28/170.67 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | ~ c_in(c_union(X0,X2,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4494]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22962,plain,
% 170.28/170.67 ( ~ c_in(c_union(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22961]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4492,plain,
% 170.28/170.67 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.67 | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11470_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22957,plain,
% 170.28/170.67 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.67 | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4492]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22958,plain,
% 170.28/170.67 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X1,tc_nat)
% 170.28/170.67 | c_less(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22957]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4481,plain,
% 170.28/170.67 ( c_in(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 170.28/170.67 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11477_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22935,plain,
% 170.28/170.67 ( c_in(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X0,c_List_Oset(X3,X2),X2)
% 170.28/170.67 | ~ c_in(X3,c_List_Olists(X1,X2),tc_List_Olist(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4481]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22936,plain,
% 170.28/170.67 ( ~ c_in(X0,c_List_Olists(X1,X2),tc_List_Olist(X2))
% 170.28/170.67 | ~ c_in(X3,c_List_Oset(X0,X2),X2)
% 170.28/170.67 | c_in(X3,X1,X2) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22935]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4479,plain,
% 170.28/170.67 ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11478_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22931,plain,
% 170.28/170.67 ( c_in(X0,X1,X2) | ~ c_lessequals(c_insert(X0,X3,X2),X1,tc_set(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4479]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22932,plain,
% 170.28/170.67 ( ~ c_lessequals(c_insert(X0,X1,X2),X3,tc_set(X2)) | c_in(X0,X3,X2) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22931]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4476,plain,
% 170.28/170.67 ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X0,tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11479_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22925,plain,
% 170.28/170.67 ( c_less(c_0,c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X0,tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4476]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4474,plain,
% 170.28/170.67 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.67 | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11480_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22921,plain,
% 170.28/170.67 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.67 | ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4474]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22922,plain,
% 170.28/170.67 ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 170.28/170.67 | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22921]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4471,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X3,X1,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11481_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22915,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X0,c_SetInterval_OgreaterThanLessThan(X3,X1,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4471]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22916,plain,
% 170.28/170.67 ( ~ class_Orderings_Oord(X0)
% 170.28/170.67 | c_less(X1,X2,X0)
% 170.28/170.67 | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X3,X2,X0),X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22915]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4468,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X0,X3,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11482_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22909,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X1,c_SetInterval_OgreaterThanLessThan(X0,X3,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4468]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22910,plain,
% 170.28/170.67 ( ~ class_Orderings_Oord(X0)
% 170.28/170.67 | c_less(X1,X2,X0)
% 170.28/170.67 | ~ c_in(X2,c_SetInterval_OgreaterThanLessThan(X1,X3,X0),X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22909]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4465,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X3,X1,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11483_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22903,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X0,c_SetInterval_OgreaterThanAtMost(X3,X1,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4465]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22904,plain,
% 170.28/170.67 ( ~ class_Orderings_Oord(X0)
% 170.28/170.67 | c_lessequals(X1,X2,X0)
% 170.28/170.67 | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X3,X2,X0),X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22903]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4462,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X0,X3,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11484_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22897,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X1,c_SetInterval_OgreaterThanAtMost(X0,X3,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4462]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22898,plain,
% 170.28/170.67 ( ~ class_Orderings_Oord(X0)
% 170.28/170.67 | c_less(X1,X2,X0)
% 170.28/170.67 | ~ c_in(X2,c_SetInterval_OgreaterThanAtMost(X1,X3,X0),X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22897]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4459,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X0,c_SetInterval_OatLeastLessThan(X3,X1,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11485_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22891,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X0,c_SetInterval_OatLeastLessThan(X3,X1,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4459]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22892,plain,
% 170.28/170.67 ( ~ class_Orderings_Oord(X0)
% 170.28/170.67 | c_less(X1,X2,X0)
% 170.28/170.67 | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X3,X2,X0),X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22891]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4456,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X0,X3,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11486_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22885,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X1,c_SetInterval_OatLeastLessThan(X0,X3,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4456]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22886,plain,
% 170.28/170.67 ( ~ class_Orderings_Oord(X0)
% 170.28/170.67 | c_lessequals(X1,X2,X0)
% 170.28/170.67 | ~ c_in(X2,c_SetInterval_OatLeastLessThan(X1,X3,X0),X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22885]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4453,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X0,c_SetInterval_OatLeastAtMost(X3,X1,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11487_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22879,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X0,c_SetInterval_OatLeastAtMost(X3,X1,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4453]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22880,plain,
% 170.28/170.67 ( ~ class_Orderings_Oord(X0)
% 170.28/170.67 | c_lessequals(X1,X2,X0)
% 170.28/170.67 | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X3,X2,X0),X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22879]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4450,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X0,X3,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11488_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22873,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X1,c_SetInterval_OatLeastAtMost(X0,X3,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4450]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22874,plain,
% 170.28/170.67 ( ~ class_Orderings_Oord(X0)
% 170.28/170.67 | c_lessequals(X1,X2,X0)
% 170.28/170.67 | ~ c_in(X2,c_SetInterval_OatLeastAtMost(X1,X3,X0),X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22873]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4447,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11489_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22867,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4447]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22868,plain,
% 170.28/170.67 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.67 | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 170.28/170.67 | c_lessequals(X2,X3,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22867]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4444,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11490_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22861,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4444]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22862,plain,
% 170.28/170.67 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.67 | ~ c_lessequals(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 170.28/170.67 | c_lessequals(X1,X3,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22861]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4441,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11491_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22855,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4441]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22856,plain,
% 170.28/170.67 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.67 | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 170.28/170.67 | c_lessequals(X1,X3,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22855]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4438,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11492_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22849,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4438]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22850,plain,
% 170.28/170.67 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.67 | ~ c_lessequals(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 170.28/170.67 | c_lessequals(X1,X2,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22849]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4435,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_less(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11493_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22843,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_less(X0,c_Orderings_Omin(X3,X1,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4435]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22844,plain,
% 170.28/170.67 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.67 | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 170.28/170.67 | c_less(X1,X3,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22843]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4432,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_less(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11494_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22837,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_less(X0,c_Orderings_Omin(X1,X3,X2),X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4432]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22838,plain,
% 170.28/170.67 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.67 | ~ c_less(X1,c_Orderings_Omin(X2,X3,X0),X0)
% 170.28/170.67 | c_less(X1,X2,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22837]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4429,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_less(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11495_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22831,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_less(c_Orderings_Omax(X3,X0,X2),X1,X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4429]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22832,plain,
% 170.28/170.67 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.67 | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 170.28/170.67 | c_less(X2,X3,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22831]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4426,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_less(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11496_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22825,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_less(c_Orderings_Omax(X0,X3,X2),X1,X2)
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4426]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22826,plain,
% 170.28/170.67 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.67 | ~ c_less(c_Orderings_Omax(X1,X2,X0),X3,X0)
% 170.28/170.67 | c_less(X1,X3,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22825]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4423,plain,
% 170.28/170.67 ( 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)
% 170.28/170.67 | ~ c_lessequals(X2,X0,tc_nat)
% 170.28/170.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11497_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22819,plain,
% 170.28/170.67 ( 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)
% 170.28/170.67 | ~ c_lessequals(X2,X0,tc_nat)
% 170.28/170.67 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4423]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22820,plain,
% 170.28/170.67 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.67 | ~ c_lessequals(X1,X2,tc_nat)
% 170.28/170.67 | 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) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22819]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4421,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11498_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22815,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_in(c_Main_OsubsetI__1(X0,X1,X2),X1,X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4421]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4418,plain,
% 170.28/170.67 ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 170.28/170.67 | c_in(X0,X2,X3)
% 170.28/170.67 | ~ c_in(X0,X1,X3) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11499_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22809,plain,
% 170.28/170.67 ( c_in(X0,c_minus(X1,X2,tc_set(X3)),X3)
% 170.28/170.67 | c_in(X0,X2,X3)
% 170.28/170.67 | ~ c_in(X0,X1,X3) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4418]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4384,plain,
% 170.28/170.67 ( c_minus(c_insert(X0,X1,X2),X3,tc_set(X2)) = c_minus(X1,X3,tc_set(X2))
% 170.28/170.67 | ~ c_in(X0,X3,X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11508_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22741,plain,
% 170.28/170.67 ( c_minus(c_insert(X0,X1,X2),X3,tc_set(X2)) = c_minus(X1,X3,tc_set(X2))
% 170.28/170.67 | ~ c_in(X0,X3,X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4384]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22742,plain,
% 170.28/170.67 ( ~ c_in(X0,X1,X2)
% 170.28/170.67 | c_minus(c_insert(X0,X3,X2),X1,tc_set(X2)) = c_minus(X3,X1,tc_set(X2)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22741]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4373,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 170.28/170.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11511_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22719,plain,
% 170.28/170.67 ( c_less(X0,X1,X2)
% 170.28/170.67 | ~ c_less(c_minus(X0,X1,X2),c_0,X2)
% 170.28/170.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4373]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22720,plain,
% 170.28/170.67 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.67 | ~ c_less(c_minus(X1,X2,X0),c_0,X0)
% 170.28/170.67 | c_less(X1,X2,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22719]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4370,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 170.28/170.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11512_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22713,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 170.28/170.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4370]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22714,plain,
% 170.28/170.67 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.67 | ~ c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 170.28/170.67 | c_lessequals(X1,X2,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22713]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4368,plain,
% 170.28/170.67 ( 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)
% 170.28/170.67 | X1 = c_0 ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11514_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22709,plain,
% 170.28/170.67 ( 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)
% 170.28/170.67 | X1 = c_0 ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4368]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4366,plain,
% 170.28/170.67 ( 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)
% 170.28/170.67 | X0 = c_0 ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11515_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22705,plain,
% 170.28/170.67 ( 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)
% 170.28/170.67 | X0 = c_0 ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4366]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4360,plain,
% 170.28/170.67 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 170.28/170.67 | c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11517_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22693,plain,
% 170.28/170.67 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X2,X1,tc_nat),tc_nat)
% 170.28/170.67 | c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4360]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4358,plain,
% 170.28/170.67 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 170.28/170.67 | c_less(c_0,X0,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11518_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22689,plain,
% 170.28/170.67 ( c_lessequals(c_times(X0,X1,tc_nat),c_times(X0,X2,tc_nat),tc_nat)
% 170.28/170.67 | c_less(c_0,X0,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4358]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4355,plain,
% 170.28/170.67 ( c_lessequals(c_0,X0,X1)
% 170.28/170.67 | ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 170.28/170.67 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11519_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22683,plain,
% 170.28/170.67 ( c_lessequals(c_0,X0,X1)
% 170.28/170.67 | ~ c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 170.28/170.67 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4355]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22684,plain,
% 170.28/170.67 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.28/170.67 | ~ c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 170.28/170.67 | c_lessequals(c_0,X1,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22683]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4352,plain,
% 170.28/170.67 ( c_lessequals(X0,c_0,X1)
% 170.28/170.67 | ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 170.28/170.67 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11520_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22677,plain,
% 170.28/170.67 ( c_lessequals(X0,c_0,X1)
% 170.28/170.67 | ~ c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 170.28/170.67 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4352]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22678,plain,
% 170.28/170.67 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.28/170.67 | ~ c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 170.28/170.67 | c_lessequals(X1,c_0,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22677]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4349,plain,
% 170.28/170.67 ( X0 = X1 | c_in(X0,X2,X3) | ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11521_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22671,plain,
% 170.28/170.67 ( X0 = X1 | c_in(X0,X2,X3) | ~ c_in(X0,c_insert(X1,X2,X3),X3) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4349]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22672,plain,
% 170.28/170.67 ( ~ c_in(X0,c_insert(X1,X2,X3),X3) | c_in(X0,X2,X3) | X0 = X1 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22671]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4346,plain,
% 170.28/170.67 ( X0 = X1
% 170.28/170.67 | c_List_Oop_Amem(X1,X2,X3)
% 170.28/170.67 | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X0,X2,X3),X3) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11522_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22665,plain,
% 170.28/170.67 ( X0 = X1
% 170.28/170.67 | c_List_Oop_Amem(X1,X2,X3)
% 170.28/170.67 | ~ c_List_Oop_Amem(X1,c_List_Olist_OCons(X0,X2,X3),X3) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4346]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22666,plain,
% 170.28/170.67 ( ~ c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 170.28/170.67 | c_List_Oop_Amem(X0,X2,X3)
% 170.28/170.67 | X1 = X0 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22665]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4339,plain,
% 170.28/170.67 ( c_inter(X0,X1,X2) = c_emptyset
% 170.28/170.67 | c_inter(c_insert(X3,X0,X2),X1,X2) != c_emptyset ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11525_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22651,plain,
% 170.28/170.67 ( c_inter(X0,X1,X2) = c_emptyset
% 170.28/170.67 | c_inter(c_insert(X3,X0,X2),X1,X2) != c_emptyset ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4339]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22652,plain,
% 170.28/170.67 ( c_inter(c_insert(X0,X1,X2),X3,X2) != c_emptyset
% 170.28/170.67 | c_inter(X1,X3,X2) = c_emptyset ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22651]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4335,plain,
% 170.28/170.67 ( c_inter(X0,X1,X2) = c_emptyset
% 170.28/170.67 | c_inter(X0,c_insert(X3,X1,X2),X2) != c_emptyset ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11527_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22643,plain,
% 170.28/170.67 ( c_inter(X0,X1,X2) = c_emptyset
% 170.28/170.67 | c_inter(X0,c_insert(X3,X1,X2),X2) != c_emptyset ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4335]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22644,plain,
% 170.28/170.67 ( c_inter(X0,c_insert(X1,X2,X3),X3) != c_emptyset
% 170.28/170.67 | c_inter(X0,X2,X3) = c_emptyset ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22643]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4333,plain,
% 170.28/170.67 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X3,X1,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11528_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22639,plain,
% 170.28/170.67 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X3,X1,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4333]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22640,plain,
% 170.28/170.67 ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X2,X3) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22639]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4331,plain,
% 170.28/170.67 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X1,X3,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11529_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22635,plain,
% 170.28/170.67 ( c_in(X0,X1,X2) | ~ c_in(X0,c_inter(X1,X3,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4331]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22636,plain,
% 170.28/170.67 ( ~ c_in(X0,c_inter(X1,X2,X3),X3) | c_in(X0,X1,X3) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22635]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4329,plain,
% 170.28/170.67 ( X0 = c_0
% 170.28/170.67 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11530_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22631,plain,
% 170.28/170.67 ( X0 = c_0
% 170.28/170.67 | ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4329]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22632,plain,
% 170.28/170.67 ( ~ c_less(c_0,c_Nat_Opower(c_HOL_Oabs(c_0,tc_IntDef_Oint),X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | X0 = c_0 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22631]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4326,plain,
% 170.28/170.67 ( 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)
% 170.28/170.67 | c_Numeral_Onumber__of(X0,X1) != c_1
% 170.28/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11532_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22625,plain,
% 170.28/170.67 ( 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)
% 170.28/170.67 | c_Numeral_Onumber__of(X0,X1) != c_1
% 170.28/170.67 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4326]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22626,plain,
% 170.28/170.67 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.67 | 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)
% 170.28/170.67 | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22625]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4319,plain,
% 170.28/170.67 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11535_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22611,plain,
% 170.28/170.67 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4319]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22612,plain,
% 170.28/170.67 ( ~ c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.67 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22611]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4311,plain,
% 170.28/170.67 ( c_Orderings_Omin(X0,c_Finite__Set_OMin(X1,X2),X2) = c_Finite__Set_OMin(c_insert(X0,X1,X2),X2)
% 170.28/170.67 | X1 = c_emptyset
% 170.28/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11538_3) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22595,plain,
% 170.28/170.67 ( c_Orderings_Omin(X0,c_Finite__Set_OMin(X1,X2),X2) = c_Finite__Set_OMin(c_insert(X0,X1,X2),X2)
% 170.28/170.67 | X1 = c_emptyset
% 170.28/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4311]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22596,plain,
% 170.28/170.67 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.67 | c_Orderings_Omin(X2,c_Finite__Set_OMin(X1,X0),X0) = c_Finite__Set_OMin(c_insert(X2,X1,X0),X0)
% 170.28/170.67 | X1 = c_emptyset ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22595]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4307,plain,
% 170.28/170.67 ( c_Orderings_Omax(X0,c_Finite__Set_OMax(X1,X2),X2) = c_Finite__Set_OMax(c_insert(X0,X1,X2),X2)
% 170.28/170.67 | X1 = c_emptyset
% 170.28/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11539_3) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22587,plain,
% 170.28/170.67 ( c_Orderings_Omax(X0,c_Finite__Set_OMax(X1,X2),X2) = c_Finite__Set_OMax(c_insert(X0,X1,X2),X2)
% 170.28/170.67 | X1 = c_emptyset
% 170.28/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4307]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22588,plain,
% 170.28/170.67 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X0))
% 170.28/170.67 | c_Orderings_Omax(X2,c_Finite__Set_OMax(X1,X0),X0) = c_Finite__Set_OMax(c_insert(X2,X1,X0),X0)
% 170.28/170.67 | X1 = c_emptyset ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22587]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4289,plain,
% 170.28/170.67 ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 170.28/170.67 | ~ c_less(X3,X0,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11545_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22551,plain,
% 170.28/170.67 ( c_List_Onth(c_List_Otake(X0,X1,X2),X3,X2) = c_List_Onth(X1,X3,X2)
% 170.28/170.67 | ~ c_less(X3,X0,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4289]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22552,plain,
% 170.28/170.67 ( ~ c_less(X0,X1,tc_nat)
% 170.28/170.67 | c_List_Onth(c_List_Otake(X1,X2,X3),X0,X3) = c_List_Onth(X2,X0,X3) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22551]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4286,plain,
% 170.28/170.67 ( c_Finite__Set_Ocard(c_insert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
% 170.28/170.67 | c_in(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11546_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22545,plain,
% 170.28/170.67 ( c_Finite__Set_Ocard(c_insert(X0,X1,X2),X2) = c_Suc(c_Finite__Set_Ocard(X1,X2))
% 170.28/170.67 | c_in(X0,X1,X2)
% 170.28/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4286]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22546,plain,
% 170.28/170.67 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | c_in(X2,X0,X1)
% 170.28/170.67 | c_Finite__Set_Ocard(c_insert(X2,X0,X1),X1) = c_Suc(c_Finite__Set_Ocard(X0,X1)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22545]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4280,plain,
% 170.28/170.67 ( c_less(X0,X1,tc_nat) | ~ c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11548_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22533,plain,
% 170.28/170.67 ( c_less(X0,X1,tc_nat) | ~ c_less(c_0,c_minus(X1,X0,tc_nat),tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4280]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22534,plain,
% 170.28/170.67 ( ~ c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | c_less(X1,X0,tc_nat) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22533]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4278,plain,
% 170.28/170.67 ( c_inter(c_List_Oset(X0,X1),c_List_Oset(X2,X1),X1) = c_emptyset
% 170.28/170.67 | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11549_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22529,plain,
% 170.28/170.67 ( c_inter(c_List_Oset(X0,X1),c_List_Oset(X2,X1),X1) = c_emptyset
% 170.28/170.67 | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4278]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22530,plain,
% 170.28/170.67 ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2)
% 170.28/170.67 | c_inter(c_List_Oset(X0,X2),c_List_Oset(X1,X2),X2) = c_emptyset ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22529]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4276,plain,
% 170.28/170.67 ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist__inter(X1,X3,X2)
% 170.28/170.67 | c_in(X0,c_List_Oset(X3,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11550_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22525,plain,
% 170.28/170.67 ( c_List_Olist__inter(c_List_Olist_OCons(X0,X1,X2),X3,X2) = c_List_Olist__inter(X1,X3,X2)
% 170.28/170.67 | c_in(X0,c_List_Oset(X3,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4276]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22526,plain,
% 170.28/170.67 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.67 | c_List_Olist__inter(c_List_Olist_OCons(X0,X3,X2),X1,X2) = c_List_Olist__inter(X3,X1,X2) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22525]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4274,plain,
% 170.28/170.67 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11551_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22521,plain,
% 170.28/170.67 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X1,X0,tc_nat),tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4274]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22522,plain,
% 170.28/170.67 ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22521]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4272,plain,
% 170.28/170.67 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11552_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22517,plain,
% 170.28/170.67 ( c_less(c_0,X0,tc_nat) | ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4272]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22518,plain,
% 170.28/170.67 ( ~ c_less(c_0,c_times(X0,X1,tc_nat),tc_nat) | c_less(c_0,X0,tc_nat) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22517]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4270,plain,
% 170.28/170.67 ( c_less(X0,X1,tc_IntDef_Oint)
% 170.28/170.67 | ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11553_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22513,plain,
% 170.28/170.67 ( c_less(X0,X1,tc_IntDef_Oint)
% 170.28/170.67 | ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4270]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22514,plain,
% 170.28/170.67 ( ~ c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | c_less(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22513]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4268,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 170.28/170.67 | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11554_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22509,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 170.28/170.67 | ~ c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4268]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4266,plain,
% 170.28/170.67 ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 170.28/170.67 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11555_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22505,plain,
% 170.28/170.67 ( c_in(c_Main_OUnionE__1(X0,X1,X2),X1,tc_set(X2))
% 170.28/170.67 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4266]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4264,plain,
% 170.28/170.67 ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 170.28/170.67 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11556_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22501,plain,
% 170.28/170.67 ( c_in(c_Main_OUnion__iff__1(X0,X1,X2),X1,tc_set(X2))
% 170.28/170.67 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4264]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4254,plain,
% 170.28/170.67 ( X0 = c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
% 170.28/170.67 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11559_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22481,plain,
% 170.28/170.67 ( X0 = c_append(c_List_Orev(X1,X2),c_List_Olist_OCons(X3,c_List_Olist_ONil,X2),X2)
% 170.28/170.67 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X3,X1,X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4254]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22482,plain,
% 170.28/170.67 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,X3,X1)
% 170.28/170.67 | X0 = c_append(c_List_Orev(X3,X1),c_List_Olist_OCons(X2,c_List_Olist_ONil,X1),X1) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22481]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4252,plain,
% 170.28/170.67 ( 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)
% 170.28/170.67 | ~ c_in(c_0,X2,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11560_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22477,plain,
% 170.28/170.67 ( 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)
% 170.28/170.67 | ~ c_in(c_0,X2,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4252]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22478,plain,
% 170.28/170.67 ( ~ c_in(c_0,X0,tc_nat)
% 170.28/170.67 | 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) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22477]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4246,plain,
% 170.28/170.67 ( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
% 170.28/170.67 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11563_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22465,plain,
% 170.28/170.67 ( c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2)
% 170.28/170.67 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4246]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22466,plain,
% 170.28/170.67 ( ~ c_in(X0,c_Union(X1,X2),X2)
% 170.28/170.67 | c_in(X0,c_Main_OUnionE__1(X0,X1,X2),X2) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22465]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4244,plain,
% 170.28/170.67 ( c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2)
% 170.28/170.67 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11564_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22461,plain,
% 170.28/170.67 ( c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2)
% 170.28/170.67 | ~ c_in(X0,c_Union(X1,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4244]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22462,plain,
% 170.28/170.67 ( ~ c_in(X0,c_Union(X1,X2),X2)
% 170.28/170.67 | c_in(X0,c_Main_OUnion__iff__1(X0,X1,X2),X2) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22461]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4236,plain,
% 170.28/170.67 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 170.28/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11566_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22445,plain,
% 170.28/170.67 ( c_in(c_Union(X0,X1),c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.67 | c_in(c_Main_Ofinite__Union__1(X0,X1),X0,tc_set(X1))
% 170.28/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4236]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4234,plain,
% 170.28/170.67 ( 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))
% 170.28/170.67 | ~ c_lessequals(X0,X1,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11567_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22441,plain,
% 170.28/170.67 ( 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))
% 170.28/170.67 | ~ c_lessequals(X0,X1,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4234]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22442,plain,
% 170.28/170.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 170.28/170.67 | 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)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22441]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4232,plain,
% 170.28/170.67 ( c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)) = c_minus(X0,X2,tc_set(X3))
% 170.28/170.67 | c_in(X1,X0,X3) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11568_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22437,plain,
% 170.28/170.67 ( c_minus(X0,c_insert(X1,X2,X3),tc_set(X3)) = c_minus(X0,X2,tc_set(X3))
% 170.28/170.67 | c_in(X1,X0,X3) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4232]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22438,plain,
% 170.28/170.67 ( c_in(X0,X1,X2)
% 170.28/170.67 | c_minus(X1,c_insert(X0,X3,X2),tc_set(X2)) = c_minus(X1,X3,tc_set(X2)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22437]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4230,plain,
% 170.28/170.67 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11569_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22433,plain,
% 170.28/170.67 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4230]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4228,plain,
% 170.28/170.67 ( c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2)
% 170.28/170.67 | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11570_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22429,plain,
% 170.28/170.67 ( c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2)
% 170.28/170.67 | c_in(X0,c_List_Oset(X1,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4228]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22430,plain,
% 170.28/170.67 ( c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.67 | c_List_Olist_OCons(X0,c_List_Oremdups(X1,X2),X2) = c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22429]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4226,plain,
% 170.28/170.67 ( 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
% 170.28/170.67 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11571_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22425,plain,
% 170.28/170.67 ( 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
% 170.28/170.67 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4226]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22426,plain,
% 170.28/170.67 ( ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | 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 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22425]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4224,plain,
% 170.28/170.67 ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 170.28/170.67 | ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11572_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22421,plain,
% 170.28/170.67 ( c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 170.28/170.67 | ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4224]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22422,plain,
% 170.28/170.67 ( ~ c_less(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat)
% 170.28/170.67 | c_List_Olast(c_List_Odrop(X0,X1,X2),X2) = c_List_Olast(X1,X2) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22421]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4214,plain,
% 170.28/170.67 ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 170.28/170.67 | X0 = c_0 ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11575_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22401,plain,
% 170.28/170.67 ( c_List_Otl(c_List_Oreplicate(X0,X1,X2),X2) = c_List_Oreplicate(c_minus(X0,c_1,tc_nat),X1,X2)
% 170.28/170.67 | X0 = c_0 ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4214]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4212,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11576_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22397,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.67 | ~ c_lessequals(c_uminus(X1,tc_set(X2)),c_uminus(X0,tc_set(X2)),tc_set(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4212]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22398,plain,
% 170.28/170.67 ( ~ c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 170.28/170.67 | c_lessequals(X2,X0,tc_set(X1)) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22397]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4209,plain,
% 170.28/170.67 ( c_divide(c_times(X0,c_0,X1),c_times(X2,c_0,X1),X1) = c_0
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11577_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22391,plain,
% 170.28/170.67 ( c_divide(c_times(X0,c_0,X1),c_times(X2,c_0,X1),X1) = c_0
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4209]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22392,plain,
% 170.28/170.67 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.67 | c_divide(c_times(X1,c_0,X0),c_times(X2,c_0,X0),X0) = c_0 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22391]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4206,plain,
% 170.28/170.67 ( c_divide(c_times(c_0,X0,X1),c_times(c_0,X2,X1),X1) = c_0
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11578_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22385,plain,
% 170.28/170.67 ( c_divide(c_times(c_0,X0,X1),c_times(c_0,X2,X1),X1) = c_0
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4206]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22386,plain,
% 170.28/170.67 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.67 | c_divide(c_times(c_0,X1,X0),c_times(c_0,X2,X0),X0) = c_0 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22385]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4187,plain,
% 170.28/170.67 ( c_divide(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X0
% 170.28/170.67 | c_Numeral_Onumber__of(X1,X2) = c_0
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.67 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11582_4) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22347,plain,
% 170.28/170.67 ( c_divide(c_times(X0,c_Numeral_Onumber__of(X1,X2),X2),c_Numeral_Onumber__of(X1,X2),X2) = X0
% 170.28/170.67 | c_Numeral_Onumber__of(X1,X2) = c_0
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.67 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4187]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22348,plain,
% 170.28/170.67 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.67 | c_Numeral_Onumber__of(X1,X0) = c_0
% 170.28/170.67 | c_divide(c_times(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22347]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4182,plain,
% 170.28/170.67 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 170.28/170.67 | c_times(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = X2
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.67 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11583_4) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22337,plain,
% 170.28/170.67 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 170.28/170.67 | c_times(c_divide(X2,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = X2
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.67 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4182]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22338,plain,
% 170.28/170.67 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.67 | c_Numeral_Onumber__of(X1,X0) = c_0
% 170.28/170.67 | c_times(c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = X2 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22337]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4180,plain,
% 170.28/170.67 ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 170.28/170.67 | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11584_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22333,plain,
% 170.28/170.67 ( c_in(c_Main_Oin__listsI__1(X0,X1,X2),c_List_Oset(X1,X2),X2)
% 170.28/170.67 | c_in(X1,c_List_Olists(X0,X2),tc_List_Olist(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4180]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4169,plain,
% 170.28/170.67 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11587_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22311,plain,
% 170.28/170.67 ( c_in(c_minus(X0,X1,tc_set(X2)),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4169]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4140,plain,
% 170.28/170.67 ( c_in(X0,c_Union(X1,X2),X2)
% 170.28/170.67 | ~ c_in(X3,X1,tc_set(X2))
% 170.28/170.67 | ~ c_in(X0,X3,X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11595_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22253,plain,
% 170.28/170.67 ( c_in(X0,c_Union(X1,X2),X2)
% 170.28/170.67 | ~ c_in(X3,X1,tc_set(X2))
% 170.28/170.67 | ~ c_in(X0,X3,X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4140]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4138,plain,
% 170.28/170.67 ( c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2)
% 170.28/170.67 | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11596_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22249,plain,
% 170.28/170.67 ( c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2)
% 170.28/170.67 | ~ c_in(X0,c_List_Oset(X1,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4138]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22250,plain,
% 170.28/170.67 ( ~ c_in(X0,c_List_Oset(X1,X2),X2)
% 170.28/170.67 | c_List_Oremdups(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Oremdups(X1,X2) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22249]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4133,plain,
% 170.28/170.67 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11598_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22239,plain,
% 170.28/170.67 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4133]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4131,plain,
% 170.28/170.67 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11599_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22235,plain,
% 170.28/170.67 ( c_in(c_inter(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4131]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4129,plain,
% 170.28/170.67 ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11600_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22231,plain,
% 170.28/170.67 ( c_in(c_insert(X0,X1,X2),c_Finite__Set_OFinites,tc_set(X2))
% 170.28/170.67 | ~ c_in(X1,c_Finite__Set_OFinites,tc_set(X2)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4129]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4127,plain,
% 170.28/170.67 ( 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)
% 170.28/170.67 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11601_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22227,plain,
% 170.28/170.67 ( 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)
% 170.28/170.67 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4127]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22228,plain,
% 170.28/170.67 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 170.28/170.67 | 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) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22227]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4115,plain,
% 170.28/170.67 ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = c_0
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.67 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11604_3) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22203,plain,
% 170.28/170.67 ( c_divide(c_times(c_0,c_Numeral_Onumber__of(X0,X1),X1),c_Numeral_Onumber__of(X0,X1),X1) = c_0
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.28/170.67 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4115]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22204,plain,
% 170.28/170.67 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.67 | c_divide(c_times(c_0,c_Numeral_Onumber__of(X1,X0),X0),c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22203]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4093,plain,
% 170.28/170.67 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.67 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11613_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22159,plain,
% 170.28/170.67 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.67 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) != c_0 ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4093]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4091,plain,
% 170.28/170.67 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 170.28/170.67 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11614_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22155,plain,
% 170.28/170.67 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 170.28/170.67 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4091]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22156,plain,
% 170.28/170.67 ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.67 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X1,tc_nat),c_Numeral_Onumber__of(X0,tc_nat),tc_nat) = c_0 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22155]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4089,plain,
% 170.28/170.67 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | 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 ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11615_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22151,plain,
% 170.28/170.67 ( c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | 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 ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4089]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4087,plain,
% 170.28/170.67 ( 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
% 170.28/170.67 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11616_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22147,plain,
% 170.28/170.67 ( 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
% 170.28/170.67 | ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4087]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22148,plain,
% 170.28/170.67 ( ~ c_Divides_Oop_Advd(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | 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 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22147]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4084,plain,
% 170.28/170.67 ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 170.28/170.67 | ~ c_less(X0,X1,X2)
% 170.28/170.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11617_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22141,plain,
% 170.28/170.67 ( c_less(c_minus(X0,X1,X2),c_0,X2)
% 170.28/170.67 | ~ c_less(X0,X1,X2)
% 170.28/170.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4084]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22142,plain,
% 170.28/170.67 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.67 | c_less(c_minus(X1,X2,X0),c_0,X0)
% 170.28/170.67 | ~ c_less(X1,X2,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22141]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4081,plain,
% 170.28/170.67 ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 170.28/170.67 | ~ c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11618_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22135,plain,
% 170.28/170.67 ( c_lessequals(c_minus(X0,X1,X2),c_0,X2)
% 170.28/170.67 | ~ c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4081]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22136,plain,
% 170.28/170.67 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.67 | c_lessequals(c_minus(X1,X2,X0),c_0,X0)
% 170.28/170.67 | ~ c_lessequals(X1,X2,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22135]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4079,plain,
% 170.28/170.67 ( X0 = X1 | ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11619_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22131,plain,
% 170.28/170.67 ( X0 = X1 | ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4079]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22132,plain,
% 170.28/170.67 ( ~ c_in(X0,c_insert(X1,c_emptyset,X2),X2) | X0 = X1 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22131]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4072,plain,
% 170.28/170.67 ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 170.28/170.67 | ~ c_lessequals(c_0,X0,X1)
% 170.28/170.67 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11621_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22117,plain,
% 170.28/170.67 ( c_lessequals(c_0,c_plus(X0,X0,X1),X1)
% 170.28/170.67 | ~ c_lessequals(c_0,X0,X1)
% 170.28/170.67 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4072]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22118,plain,
% 170.28/170.67 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.28/170.67 | c_lessequals(c_0,c_plus(X1,X1,X0),X0)
% 170.28/170.67 | ~ c_lessequals(c_0,X1,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22117]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4069,plain,
% 170.28/170.67 ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 170.28/170.67 | ~ c_lessequals(X0,c_0,X1)
% 170.28/170.67 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11622_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22111,plain,
% 170.28/170.67 ( c_lessequals(c_plus(X0,X0,X1),c_0,X1)
% 170.28/170.67 | ~ c_lessequals(X0,c_0,X1)
% 170.28/170.67 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4069]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22112,plain,
% 170.28/170.67 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.28/170.67 | c_lessequals(c_plus(X1,X1,X0),c_0,X0)
% 170.28/170.67 | ~ c_lessequals(X1,c_0,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22111]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4067,plain,
% 170.28/170.67 ( c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11623_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22107,plain,
% 170.28/170.67 ( c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4067]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22108,plain,
% 170.28/170.67 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.67 | c_less(c_minus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22107]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4065,plain,
% 170.28/170.67 ( c_minus(c_insert(X0,c_emptyset,X1),c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_insert(X0,c_emptyset,X1)
% 170.28/170.67 | ~ class_Orderings_Oorder(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11624_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22103,plain,
% 170.28/170.67 ( c_minus(c_insert(X0,c_emptyset,X1),c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_insert(X0,c_emptyset,X1)
% 170.28/170.67 | ~ class_Orderings_Oorder(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4065]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22104,plain,
% 170.28/170.67 ( ~ class_Orderings_Oorder(X0)
% 170.28/170.67 | c_minus(c_insert(X1,c_emptyset,X0),c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_insert(X1,c_emptyset,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22103]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4059,plain,
% 170.28/170.67 ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 170.28/170.67 | c_in(X0,c_Inter(X1,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11626_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22091,plain,
% 170.28/170.67 ( c_in(c_Main_OInterI__1(X0,X1,X2),X1,tc_set(X2))
% 170.28/170.67 | c_in(X0,c_Inter(X1,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4059]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4057,plain,
% 170.28/170.67 ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 170.28/170.67 | c_in(X0,c_Inter(X1,X2),X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11627_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22087,plain,
% 170.28/170.67 ( c_in(c_Main_OInter__iff__1(X0,X1,X2),X1,tc_set(X2))
% 170.28/170.67 | c_in(X0,c_Inter(X1,X2),X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4057]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4055,plain,
% 170.28/170.67 ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11628_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22083,plain,
% 170.28/170.67 ( c_in(X0,c_insert(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4055]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4053,plain,
% 170.28/170.67 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11629_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22079,plain,
% 170.28/170.67 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X2,X3) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4053]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4051,plain,
% 170.28/170.67 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11630_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22075,plain,
% 170.28/170.67 ( c_in(X0,c_union(X1,X2,X3),X3) | ~ c_in(X0,X1,X3) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4051]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4049,plain,
% 170.28/170.67 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 170.28/170.67 | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11631_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22071,plain,
% 170.28/170.67 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X1,X2,X3),X3)
% 170.28/170.67 | ~ c_List_Oop_Amem(X0,X2,X3) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4049]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4047,plain,
% 170.28/170.67 ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 170.28/170.67 | ~ c_less(X3,X0,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11646_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22067,plain,
% 170.28/170.67 ( c_List_Onth(c_List_Oreplicate(X0,X1,X2),X3,X2) = X1
% 170.28/170.67 | ~ c_less(X3,X0,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4047]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22068,plain,
% 170.28/170.67 ( ~ c_less(X0,X1,tc_nat)
% 170.28/170.67 | c_List_Onth(c_List_Oreplicate(X1,X2,X3),X0,X3) = X2 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22067]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4041,plain,
% 170.28/170.67 ( c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1
% 170.28/170.67 | ~ c_lessequals(X0,X1,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11651_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22055,plain,
% 170.28/170.67 ( c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1
% 170.28/170.67 | ~ c_lessequals(X0,X1,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4041]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22056,plain,
% 170.28/170.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 170.28/170.67 | c_plus(X0,c_minus(X1,X0,tc_nat),tc_nat) = X1 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22055]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4039,plain,
% 170.28/170.67 ( c_plus(c_minus(X0,X1,tc_nat),X1,tc_nat) = X0
% 170.28/170.67 | ~ c_lessequals(X1,X0,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11652_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22051,plain,
% 170.28/170.67 ( c_plus(c_minus(X0,X1,tc_nat),X1,tc_nat) = X0
% 170.28/170.67 | ~ c_lessequals(X1,X0,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4039]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22052,plain,
% 170.28/170.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 170.28/170.67 | c_plus(c_minus(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22051]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4037,plain,
% 170.28/170.67 ( c_minus(X0,c_minus(X0,X1,tc_nat),tc_nat) = X1
% 170.28/170.67 | ~ c_lessequals(X1,X0,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11653_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22047,plain,
% 170.28/170.67 ( c_minus(X0,c_minus(X0,X1,tc_nat),tc_nat) = X1
% 170.28/170.67 | ~ c_lessequals(X1,X0,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4037]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22048,plain,
% 170.28/170.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 170.28/170.67 | c_minus(X1,c_minus(X1,X0,tc_nat),tc_nat) = X0 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22047]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4034,plain,
% 170.28/170.67 ( c_times(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_times(X0,X2,X1),X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11654_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22041,plain,
% 170.28/170.67 ( c_times(c_HOL_Oinverse(X0,X1),c_HOL_Oinverse(X2,X1),X1) = c_HOL_Oinverse(c_times(X0,X2,X1),X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4034]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22042,plain,
% 170.28/170.67 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.67 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.67 | c_times(c_HOL_Oinverse(X1,X0),c_HOL_Oinverse(X2,X0),X0) = c_HOL_Oinverse(c_times(X1,X2,X0),X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22041]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4031,plain,
% 170.28/170.67 ( c_divide(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(c_divide(X0,X2,X1),X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11655_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22035,plain,
% 170.28/170.67 ( c_divide(c_HOL_Oabs(X0,X1),c_HOL_Oabs(X2,X1),X1) = c_HOL_Oabs(c_divide(X0,X2,X1),X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.28/170.67 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4031]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22036,plain,
% 170.28/170.67 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.67 | ~ class_Ring__and__Field_Oordered__field(X0)
% 170.28/170.67 | c_divide(c_HOL_Oabs(X1,X0),c_HOL_Oabs(X2,X0),X0) = c_HOL_Oabs(c_divide(X1,X2,X0),X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22035]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4027,plain,
% 170.28/170.67 ( X0 = c_0 | ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11657_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22027,plain,
% 170.28/170.67 ( X0 = c_0 | ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4027]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22028,plain,
% 170.28/170.67 ( ~ c_less(c_0,c_Nat_Opower(c_0,X0,tc_nat),tc_nat) | X0 = c_0 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22027]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4020,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2))
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11661_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22013,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_SetInterval_OlessThan(X0,X2),c_SetInterval_OlessThan(X1,X2),tc_set(X2))
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4020]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22014,plain,
% 170.28/170.67 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.67 | ~ c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 170.28/170.67 | c_lessequals(X1,X2,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22013]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4017,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2))
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11662_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22007,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X2),c_SetInterval_OgreaterThan(X0,X2),tc_set(X2))
% 170.28/170.67 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4017]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22008,plain,
% 170.28/170.67 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.67 | ~ c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 170.28/170.67 | c_lessequals(X2,X1,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22007]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4014,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
% 170.28/170.67 | ~ class_Orderings_Oorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11663_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22001,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_SetInterval_OatMost(X0,X2),c_SetInterval_OatMost(X1,X2),tc_set(X2))
% 170.28/170.67 | ~ class_Orderings_Oorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4014]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_22002,plain,
% 170.28/170.67 ( ~ class_Orderings_Oorder(X0)
% 170.28/170.67 | ~ c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 170.28/170.67 | c_lessequals(X1,X2,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_22001]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4011,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2))
% 170.28/170.67 | ~ class_Orderings_Oorder(X2) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11664_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21995,plain,
% 170.28/170.67 ( c_lessequals(X0,X1,X2)
% 170.28/170.67 | ~ c_lessequals(c_SetInterval_OatLeast(X1,X2),c_SetInterval_OatLeast(X0,X2),tc_set(X2))
% 170.28/170.67 | ~ class_Orderings_Oorder(X2) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4011]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21996,plain,
% 170.28/170.67 ( ~ class_Orderings_Oorder(X0)
% 170.28/170.67 | ~ c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 170.28/170.67 | c_lessequals(X2,X1,X0) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_21995]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4009,plain,
% 170.28/170.67 ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11665_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21991,plain,
% 170.28/170.67 ( c_less(c_0,c_minus(X0,X1,tc_nat),tc_nat) | ~ c_less(X1,X0,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4009]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4007,plain,
% 170.28/170.67 ( c_div(c_times(X0,X1,tc_nat),X1,tc_nat) = X0 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11667_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21987,plain,
% 170.28/170.67 ( c_div(c_times(X0,X1,tc_nat),X1,tc_nat) = X0 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4007]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21988,plain,
% 170.28/170.67 ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_21987]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4005,plain,
% 170.28/170.67 ( c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11668_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21983,plain,
% 170.28/170.67 ( c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4005]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21984,plain,
% 170.28/170.67 ( ~ c_less(c_0,X0,tc_nat) | c_div(c_times(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_21983]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4003,plain,
% 170.28/170.67 ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 170.28/170.67 | X0 = c_List_Olist_ONil ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11669_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21979,plain,
% 170.28/170.67 ( c_append(c_List_Obutlast(X0,X1),c_List_Olist_OCons(c_List_Olast(X0,X1),c_List_Olist_ONil,X1),X1) = X0
% 170.28/170.67 | X0 = c_List_Olist_ONil ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4003]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_4001,plain,
% 170.28/170.67 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 170.28/170.67 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11670_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21975,plain,
% 170.28/170.67 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 170.28/170.67 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_4001]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21976,plain,
% 170.28/170.67 ( ~ c_less(c_0,X0,tc_IntDef_Oint)
% 170.28/170.67 | c_less(c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),X0,tc_IntDef_Oint) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_21975]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_3999,plain,
% 170.28/170.67 ( c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | ~ c_less(X0,c_0,tc_IntDef_Oint) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11671_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21971,plain,
% 170.28/170.67 ( c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | ~ c_less(X0,c_0,tc_IntDef_Oint) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_3999]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21972,plain,
% 170.28/170.67 ( ~ c_less(X0,c_0,tc_IntDef_Oint)
% 170.28/170.67 | c_less(X0,c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_21971]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_3997,plain,
% 170.28/170.67 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11672_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21967,plain,
% 170.28/170.67 ( c_less(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_3997]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21968,plain,
% 170.28/170.67 ( ~ c_less(c_0,X0,tc_nat)
% 170.28/170.67 | c_less(c_Divides_Oop_Amod(X1,X0,tc_nat),X0,tc_nat) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_21967]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_3995,plain,
% 170.28/170.67 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11673_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21963,plain,
% 170.28/170.67 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_nat),X1,tc_nat)
% 170.28/170.67 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_3995]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_3993,plain,
% 170.28/170.67 ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11674_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21959,plain,
% 170.28/170.67 ( c_lessequals(X0,c_minus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | ~ c_less(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_3993]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_3991,plain,
% 170.28/170.67 ( c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | ~ c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11675_1) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21955,plain,
% 170.28/170.67 ( c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.67 | ~ c_lessequals(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_3991]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21956,plain,
% 170.28/170.67 ( ~ c_lessequals(X0,X1,tc_IntDef_Oint)
% 170.28/170.67 | c_less(X0,c_plus(X1,c_1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_21955]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_3984,plain,
% 170.28/170.67 ( X0 = X1
% 170.28/170.67 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 170.28/170.67 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11677_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21941,plain,
% 170.28/170.67 ( X0 = X1
% 170.28/170.67 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 170.28/170.67 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_3984]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21942,plain,
% 170.28/170.67 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 170.28/170.67 | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 170.28/170.67 | X0 = X2 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_21941]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_3981,plain,
% 170.28/170.67 ( X0 = X1
% 170.28/170.67 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 170.28/170.67 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11678_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21935,plain,
% 170.28/170.67 ( X0 = X1
% 170.28/170.67 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 170.28/170.67 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_3981]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21936,plain,
% 170.28/170.67 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 170.28/170.67 | c_append(X3,X0,X1) != c_append(X4,X2,X1)
% 170.28/170.67 | X3 = X4 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_21935]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_3978,plain,
% 170.28/170.67 ( X0 = X1
% 170.28/170.67 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 170.28/170.67 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11679_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21929,plain,
% 170.28/170.67 ( X0 = X1
% 170.28/170.67 | c_append(X2,X0,X3) != c_append(X4,X1,X3)
% 170.28/170.67 | c_Nat_Osize(X2,tc_List_Olist(X3)) != c_Nat_Osize(X4,tc_List_Olist(X3)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_3978]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21930,plain,
% 170.28/170.67 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 170.28/170.67 | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 170.28/170.67 | X3 = X4 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_21929]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_3975,plain,
% 170.28/170.67 ( X0 = X1
% 170.28/170.67 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 170.28/170.67 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 170.28/170.67 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11680_2) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21923,plain,
% 170.28/170.67 ( X0 = X1
% 170.28/170.67 | c_append(X0,X2,X3) != c_append(X1,X4,X3)
% 170.28/170.67 | c_Nat_Osize(X0,tc_List_Olist(X3)) != c_Nat_Osize(X1,tc_List_Olist(X3)) ),
% 170.28/170.67 inference(copy,[status(esa)],[c_3975]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_21924,plain,
% 170.28/170.67 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_Nat_Osize(X2,tc_List_Olist(X1))
% 170.28/170.67 | c_append(X0,X3,X1) != c_append(X2,X4,X1)
% 170.28/170.67 | X0 = X2 ),
% 170.28/170.67 inference(rewriting,[status(thm)],[c_21923]) ).
% 170.28/170.67
% 170.28/170.67 cnf(c_3970,plain,
% 170.28/170.67 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11682_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21913,plain,
% 170.28/170.68 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3970]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3968,plain,
% 170.28/170.68 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11683_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21909,plain,
% 170.28/170.68 ( c_less(c_0,c_plus(X0,X1,tc_nat),tc_nat) | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3968]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3966,plain,
% 170.28/170.68 ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11684_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21905,plain,
% 170.28/170.68 ( c_lessequals(c_0,c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3966]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3964,plain,
% 170.28/170.68 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11685_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21901,plain,
% 170.28/170.68 ( c_lessequals(c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint),c_0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3964]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3962,plain,
% 170.28/170.68 ( c_less(c_0,X0,tc_nat)
% 170.28/170.68 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11686_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21897,plain,
% 170.28/170.68 ( c_less(c_0,X0,tc_nat)
% 170.28/170.68 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3962]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21898,plain,
% 170.28/170.68 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_less(c_0,X1,tc_nat) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21897]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3960,plain,
% 170.28/170.68 ( c_less(c_0,X0,tc_nat)
% 170.28/170.68 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11687_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21893,plain,
% 170.28/170.68 ( c_less(c_0,X0,tc_nat)
% 170.28/170.68 | ~ c_Parity_Oeven(c_Nat_Opower(X1,X0,tc_nat),tc_nat) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3960]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21894,plain,
% 170.28/170.68 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 170.28/170.68 | c_less(c_0,X1,tc_nat) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21893]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3958,plain,
% 170.28/170.68 ( c_LOrder_Ojoin(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Omeet(X0,X2,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11688_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21889,plain,
% 170.28/170.68 ( c_LOrder_Ojoin(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Omeet(X0,X2,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3958]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21890,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.28/170.68 | c_LOrder_Ojoin(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Omeet(X1,X2,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21889]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3956,plain,
% 170.28/170.68 ( c_LOrder_Omeet(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Ojoin(X0,X2,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11689_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21885,plain,
% 170.28/170.68 ( c_LOrder_Omeet(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_LOrder_Ojoin(X0,X2,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3956]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21886,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.28/170.68 | c_LOrder_Omeet(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_LOrder_Ojoin(X1,X2,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21885]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3954,plain,
% 170.28/170.68 ( c_plus(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_plus(X0,X2,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11690_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21881,plain,
% 170.28/170.68 ( c_plus(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_uminus(c_plus(X0,X2,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3954]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21882,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.28/170.68 | c_plus(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_uminus(c_plus(X1,X2,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21881]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3952,plain,
% 170.28/170.68 ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 170.28/170.68 | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11691_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21877,plain,
% 170.28/170.68 ( c_in(X0,c_Transitive__Closure_Ortrancl(X1,X2),tc_prod(X2,X2))
% 170.28/170.68 | ~ c_in(X0,X1,tc_prod(X2,X2)) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3952]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3950,plain,
% 170.28/170.68 ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 170.28/170.68 | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11694_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21873,plain,
% 170.28/170.68 ( c_lessequals(c_uminus(X0,tc_set(X1)),c_uminus(X2,tc_set(X1)),tc_set(X1))
% 170.28/170.68 | ~ c_lessequals(X2,X0,tc_set(X1)) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3950]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3948,plain,
% 170.28/170.68 ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11695_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21869,plain,
% 170.28/170.68 ( ~ c_in(X0,c_uminus(X1,tc_set(X2)),X2) | ~ c_in(X0,X1,X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3948]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3946,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11696_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21865,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3946]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21866,plain,
% 170.28/170.68 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.68 | 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) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21865]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3944,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11698_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21861,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3944]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21862,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.28/170.68 | 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) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21861]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3942,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11699_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21857,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3942]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21858,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.28/170.68 | 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) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21857]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3940,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11700_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21853,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3940]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21854,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.68 | 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) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21853]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3938,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11701_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21849,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3938]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21850,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.68 | 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) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21849]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3936,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11702_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21845,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3936]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21846,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.68 | 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) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21845]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3933,plain,
% 170.28/170.68 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11703_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21839,plain,
% 170.28/170.68 ( c_less(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat)
% 170.28/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3933]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3926,plain,
% 170.28/170.68 ( c_divide(X0,c_times(X1,X0,X2),X2) = c_divide(c_1,X1,X2)
% 170.28/170.68 | X0 = c_0
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11705_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21825,plain,
% 170.28/170.68 ( c_divide(X0,c_times(X1,X0,X2),X2) = c_divide(c_1,X1,X2)
% 170.28/170.68 | X0 = c_0
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3926]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21826,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_divide(X1,c_times(X2,X1,X0),X0) = c_divide(c_1,X2,X0)
% 170.28/170.68 | X1 = c_0 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21825]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3922,plain,
% 170.28/170.68 ( c_divide(X0,c_times(X0,X1,X2),X2) = c_divide(c_1,X1,X2)
% 170.28/170.68 | X0 = c_0
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11706_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21817,plain,
% 170.28/170.68 ( c_divide(X0,c_times(X0,X1,X2),X2) = c_divide(c_1,X1,X2)
% 170.28/170.68 | X0 = c_0
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3922]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21818,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_divide(X1,c_times(X1,X2,X0),X0) = c_divide(c_1,X2,X0)
% 170.28/170.68 | X1 = c_0 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21817]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3919,plain,
% 170.28/170.68 ( c_less(X0,X1,X2)
% 170.28/170.68 | ~ c_less(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11707_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21811,plain,
% 170.28/170.68 ( c_less(X0,X1,X2)
% 170.28/170.68 | ~ c_less(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3919]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21812,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | ~ c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 170.28/170.68 | c_less(X2,X1,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21811]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3916,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,X2)
% 170.28/170.68 | ~ c_lessequals(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11708_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21805,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,X2)
% 170.28/170.68 | ~ c_lessequals(c_uminus(X1,X2),c_uminus(X0,X2),X2)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3916]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21806,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | ~ c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 170.28/170.68 | c_lessequals(X2,X1,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21805]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3914,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11710_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21801,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3914]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21802,plain,
% 170.28/170.68 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | 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) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21801]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3907,plain,
% 170.28/170.68 ( c_less(X0,X1,tc_nat)
% 170.28/170.68 | ~ c_less(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11712_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21787,plain,
% 170.28/170.68 ( c_less(X0,X1,tc_nat)
% 170.28/170.68 | ~ c_less(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3907]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21788,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.68 | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 170.28/170.68 | c_less(X1,X2,tc_nat) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21787]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3904,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.68 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11713_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21781,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.68 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X2),c_NatArith_Oof__nat(X1,X2),X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3904]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21782,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.68 | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 170.28/170.68 | c_lessequals(X1,X2,tc_nat) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21781]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3901,plain,
% 170.28/170.68 ( c_less(X0,X1,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_less(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11714_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21775,plain,
% 170.28/170.68 ( c_less(X0,X1,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_less(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3901]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21776,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.68 | ~ c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 170.28/170.68 | c_less(X1,X2,tc_IntDef_Oint) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21775]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3898,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_lessequals(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11715_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21769,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_lessequals(c_IntDef_Oof__int(X0,X2),c_IntDef_Oof__int(X1,X2),X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3898]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21770,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.68 | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 170.28/170.68 | c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21769]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3888,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | c_Numeral_Onumber__of(X0,X1) != c_1
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11722_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21749,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | c_Numeral_Onumber__of(X0,X1) != c_1
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3888]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21750,plain,
% 170.28/170.68 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.68 | 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)
% 170.28/170.68 | c_Numeral_Onumber__of(X1,X0) != c_1 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21749]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3878,plain,
% 170.28/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11727_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21729,plain,
% 170.28/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3878]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3876,plain,
% 170.28/170.68 ( c_Orderings_Omax(X0,c_Orderings_Omax(X0,X1,X2),X2) = c_Orderings_Omax(X0,X1,X2)
% 170.28/170.68 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11728_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21725,plain,
% 170.28/170.68 ( c_Orderings_Omax(X0,c_Orderings_Omax(X0,X1,X2),X2) = c_Orderings_Omax(X0,X1,X2)
% 170.28/170.68 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3876]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21726,plain,
% 170.28/170.68 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.68 | c_Orderings_Omax(X1,c_Orderings_Omax(X1,X2,X0),X0) = c_Orderings_Omax(X1,X2,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21725]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3874,plain,
% 170.28/170.68 ( c_Orderings_Omin(X0,c_Orderings_Omin(X0,X1,X2),X2) = c_Orderings_Omin(X0,X1,X2)
% 170.28/170.68 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11729_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21721,plain,
% 170.28/170.68 ( c_Orderings_Omin(X0,c_Orderings_Omin(X0,X1,X2),X2) = c_Orderings_Omin(X0,X1,X2)
% 170.28/170.68 | ~ class_Orderings_Olinorder(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3874]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21722,plain,
% 170.28/170.68 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.68 | c_Orderings_Omin(X1,c_Orderings_Omin(X1,X2,X0),X0) = c_Orderings_Omin(X1,X2,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21721]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3872,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.68 | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11730_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21717,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.68 | c_in(c_Main_OsubsetI__1(X0,X1,X2),X0,X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3872]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3870,plain,
% 170.28/170.68 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 170.28/170.68 | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11734_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21713,plain,
% 170.28/170.68 ( c_less(c_0,c_Nat_Opower(X0,c_Numeral_Onumber__of(X1,tc_nat),tc_nat),tc_nat)
% 170.28/170.68 | c_Numeral_Onumber__of(X1,tc_nat) != c_0 ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3870]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3863,plain,
% 170.28/170.68 ( c_Numeral_Onumber__of(X0,X1) = c_Numeral_Onumber__of(X2,X1)
% 170.28/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11737_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21699,plain,
% 170.28/170.68 ( c_Numeral_Onumber__of(X0,X1) = c_Numeral_Onumber__of(X2,X1)
% 170.28/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X2)),X1),X1)
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3863]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21700,plain,
% 170.28/170.68 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 170.28/170.68 | c_Numeral_Onumber__of(X1,X0) = c_Numeral_Onumber__of(X2,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21699]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3855,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11742_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21683,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3855]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21684,plain,
% 170.28/170.68 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.68 | 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) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21683]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3851,plain,
% 170.28/170.68 ( c_less(c_uminus(c_1,X0),X1,X0)
% 170.28/170.68 | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | ~ class_HOL_Oone(X0) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11743_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21675,plain,
% 170.28/170.68 ( c_less(c_uminus(c_1,X0),X1,X0)
% 170.28/170.68 | ~ c_less(c_uminus(X1,X0),c_1,X0)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | ~ class_HOL_Oone(X0) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3851]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21676,plain,
% 170.28/170.68 ( ~ class_HOL_Oone(X0)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | c_less(c_uminus(c_1,X0),X1,X0)
% 170.28/170.68 | ~ c_less(c_uminus(X1,X0),c_1,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21675]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3847,plain,
% 170.28/170.68 ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 170.28/170.68 | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | ~ class_HOL_Oone(X0) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11744_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21667,plain,
% 170.28/170.68 ( c_lessequals(c_uminus(c_1,X0),X1,X0)
% 170.28/170.68 | ~ c_lessequals(c_uminus(X1,X0),c_1,X0)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | ~ class_HOL_Oone(X0) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3847]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21668,plain,
% 170.28/170.68 ( ~ class_HOL_Oone(X0)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | c_lessequals(c_uminus(c_1,X0),X1,X0)
% 170.28/170.68 | ~ c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21667]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3843,plain,
% 170.28/170.68 ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11745_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21659,plain,
% 170.28/170.68 ( c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3843]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21660,plain,
% 170.28/170.68 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_divide(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(c_divide(c_1,X1,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21659]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3839,plain,
% 170.28/170.68 ( c_less(X0,c_uminus(c_1,X1),X1)
% 170.28/170.68 | ~ c_less(c_1,c_uminus(X0,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.68 | ~ class_HOL_Oone(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11746_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21651,plain,
% 170.28/170.68 ( c_less(X0,c_uminus(c_1,X1),X1)
% 170.28/170.68 | ~ c_less(c_1,c_uminus(X0,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.68 | ~ class_HOL_Oone(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3839]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21652,plain,
% 170.28/170.68 ( ~ class_HOL_Oone(X0)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | ~ c_less(c_1,c_uminus(X1,X0),X0)
% 170.28/170.68 | c_less(X1,c_uminus(c_1,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21651]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3835,plain,
% 170.28/170.68 ( c_lessequals(X0,c_uminus(c_1,X1),X1)
% 170.28/170.68 | ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.68 | ~ class_HOL_Oone(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11747_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21643,plain,
% 170.28/170.68 ( c_lessequals(X0,c_uminus(c_1,X1),X1)
% 170.28/170.68 | ~ c_lessequals(c_1,c_uminus(X0,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.68 | ~ class_HOL_Oone(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3835]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21644,plain,
% 170.28/170.68 ( ~ class_HOL_Oone(X0)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | ~ c_lessequals(c_1,c_uminus(X1,X0),X0)
% 170.28/170.68 | c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21643]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3813,plain,
% 170.28/170.68 ( c_less(c_uminus(X0,X1),c_1,X1)
% 170.28/170.68 | ~ c_less(c_uminus(c_1,X1),X0,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.68 | ~ class_HOL_Oone(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11754_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21599,plain,
% 170.28/170.68 ( c_less(c_uminus(X0,X1),c_1,X1)
% 170.28/170.68 | ~ c_less(c_uminus(c_1,X1),X0,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.68 | ~ class_HOL_Oone(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3813]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21600,plain,
% 170.28/170.68 ( ~ class_HOL_Oone(X0)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | ~ c_less(c_uminus(c_1,X0),X1,X0)
% 170.28/170.68 | c_less(c_uminus(X1,X0),c_1,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21599]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3809,plain,
% 170.28/170.68 ( c_lessequals(c_uminus(X0,X1),c_1,X1)
% 170.28/170.68 | ~ c_lessequals(c_uminus(c_1,X1),X0,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.68 | ~ class_HOL_Oone(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11755_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21591,plain,
% 170.28/170.68 ( c_lessequals(c_uminus(X0,X1),c_1,X1)
% 170.28/170.68 | ~ c_lessequals(c_uminus(c_1,X1),X0,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.68 | ~ class_HOL_Oone(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3809]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21592,plain,
% 170.28/170.68 ( ~ class_HOL_Oone(X0)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | ~ c_lessequals(c_uminus(c_1,X0),X1,X0)
% 170.28/170.68 | c_lessequals(c_uminus(X1,X0),c_1,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21591]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3805,plain,
% 170.28/170.68 ( c_less(c_1,c_uminus(X0,X1),X1)
% 170.28/170.68 | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.68 | ~ class_HOL_Oone(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11756_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21583,plain,
% 170.28/170.68 ( c_less(c_1,c_uminus(X0,X1),X1)
% 170.28/170.68 | ~ c_less(X0,c_uminus(c_1,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.68 | ~ class_HOL_Oone(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3805]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21584,plain,
% 170.28/170.68 ( ~ class_HOL_Oone(X0)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | c_less(c_1,c_uminus(X1,X0),X0)
% 170.28/170.68 | ~ c_less(X1,c_uminus(c_1,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21583]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3801,plain,
% 170.28/170.68 ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 170.28/170.68 | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.68 | ~ class_HOL_Oone(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11757_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21575,plain,
% 170.28/170.68 ( c_lessequals(c_1,c_uminus(X0,X1),X1)
% 170.28/170.68 | ~ c_lessequals(X0,c_uminus(c_1,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1)
% 170.28/170.68 | ~ class_HOL_Oone(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3801]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21576,plain,
% 170.28/170.68 ( ~ class_HOL_Oone(X0)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | c_lessequals(c_1,c_uminus(X1,X0),X0)
% 170.28/170.68 | ~ c_lessequals(X1,c_uminus(c_1,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21575]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3798,plain,
% 170.28/170.68 ( c_divide(X0,c_uminus(X1,X2),X2) = c_uminus(c_divide(X0,X1,X2),X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11763_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21569,plain,
% 170.28/170.68 ( c_divide(X0,c_uminus(X1,X2),X2) = c_uminus(c_divide(X0,X1,X2),X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3798]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21570,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_divide(X1,c_uminus(X2,X0),X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21569]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3796,plain,
% 170.28/170.68 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.68 | ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11769_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21565,plain,
% 170.28/170.68 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.28/170.68 | ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1))) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3796]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21566,plain,
% 170.28/170.68 ( ~ c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 170.28/170.68 | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21565]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3790,plain,
% 170.28/170.68 ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_ONil
% 170.28/170.68 | c_in(c_0,X2,tc_nat) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11773_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21553,plain,
% 170.28/170.68 ( c_List_Osublist(c_List_Olist_OCons(X0,c_List_Olist_ONil,X1),X2,X1) = c_List_Olist_ONil
% 170.28/170.68 | c_in(c_0,X2,tc_nat) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3790]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21554,plain,
% 170.28/170.68 ( c_in(c_0,X0,tc_nat)
% 170.28/170.68 | c_List_Osublist(c_List_Olist_OCons(X1,c_List_Olist_ONil,X2),X0,X2) = c_List_Olist_ONil ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21553]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3789,plain,
% 170.28/170.68 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.68 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11780_0) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21551,plain,
% 170.28/170.68 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.68 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3789]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3787,plain,
% 170.28/170.68 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11780_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21547,plain,
% 170.28/170.68 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3787]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21548,plain,
% 170.28/170.68 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.68 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21547]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3786,plain,
% 170.28/170.68 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.68 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.68 | c_Parity_Oeven(X0,tc_nat) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11781_0) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21545,plain,
% 170.28/170.68 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.68 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.68 | c_Parity_Oeven(X0,tc_nat) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3786]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3784,plain,
% 170.28/170.68 ( c_Parity_Oeven(X0,tc_nat)
% 170.28/170.68 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.68 | ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11781_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21541,plain,
% 170.28/170.68 ( c_Parity_Oeven(X0,tc_nat)
% 170.28/170.68 | c_Parity_Oeven(X1,tc_nat)
% 170.28/170.68 | ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3784]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21542,plain,
% 170.28/170.68 ( ~ c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.68 | c_Parity_Oeven(X0,tc_nat)
% 170.28/170.68 | c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21541]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3782,plain,
% 170.28/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | 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)
% 170.28/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11782_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21537,plain,
% 170.28/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | 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)
% 170.28/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3782]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21538,plain,
% 170.28/170.68 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | 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) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21537]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3775,plain,
% 170.28/170.68 ( c_times(X0,c_uminus(X1,X2),X2) = c_uminus(c_times(X0,X1,X2),X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Oring(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11784_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21523,plain,
% 170.28/170.68 ( c_times(X0,c_uminus(X1,X2),X2) = c_uminus(c_times(X0,X1,X2),X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Oring(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3775]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21524,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oring(X0)
% 170.28/170.68 | c_times(X1,c_uminus(X2,X0),X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21523]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3773,plain,
% 170.28/170.68 ( c_times(c_uminus(X0,X1),X2,X1) = c_uminus(c_times(X0,X2,X1),X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Oring(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11785_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21519,plain,
% 170.28/170.68 ( c_times(c_uminus(X0,X1),X2,X1) = c_uminus(c_times(X0,X2,X1),X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Oring(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3773]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21520,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oring(X0)
% 170.28/170.68 | c_times(c_uminus(X1,X0),X2,X0) = c_uminus(c_times(X1,X2,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21519]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3771,plain,
% 170.28/170.68 ( c_divide(c_uminus(X0,X1),X2,X1) = c_uminus(c_divide(X0,X2,X1),X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11786_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21515,plain,
% 170.28/170.68 ( c_divide(c_uminus(X0,X1),X2,X1) = c_uminus(c_divide(X0,X2,X1),X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3771]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21516,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_divide(c_uminus(X1,X0),X2,X0) = c_uminus(c_divide(X1,X2,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21515]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3769,plain,
% 170.28/170.68 ( 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
% 170.28/170.68 | ~ class_Power_Orecpower(X0) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11787_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21511,plain,
% 170.28/170.68 ( 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
% 170.28/170.68 | ~ class_Power_Orecpower(X0) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3769]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21512,plain,
% 170.28/170.68 ( ~ class_Power_Orecpower(X0)
% 170.28/170.68 | 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 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21511]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3767,plain,
% 170.28/170.68 ( 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
% 170.28/170.68 | ~ class_Power_Orecpower(X0) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11788_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21507,plain,
% 170.28/170.68 ( 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
% 170.28/170.68 | ~ class_Power_Orecpower(X0) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3767]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21508,plain,
% 170.28/170.68 ( ~ class_Power_Orecpower(X0)
% 170.28/170.68 | 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 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21507]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3760,plain,
% 170.28/170.68 ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 170.28/170.68 | ~ c_lessequals(X0,X2,X1)
% 170.28/170.68 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11790_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21493,plain,
% 170.28/170.68 ( c_lessequals(c_SetInterval_OlessThan(X0,X1),c_SetInterval_OlessThan(X2,X1),tc_set(X1))
% 170.28/170.68 | ~ c_lessequals(X0,X2,X1)
% 170.28/170.68 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3760]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21494,plain,
% 170.28/170.68 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.68 | c_lessequals(c_SetInterval_OlessThan(X1,X0),c_SetInterval_OlessThan(X2,X0),tc_set(X0))
% 170.28/170.68 | ~ c_lessequals(X1,X2,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21493]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3757,plain,
% 170.28/170.68 ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 170.28/170.68 | ~ c_lessequals(X2,X0,X1)
% 170.28/170.68 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11791_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21487,plain,
% 170.28/170.68 ( c_lessequals(c_SetInterval_OgreaterThan(X0,X1),c_SetInterval_OgreaterThan(X2,X1),tc_set(X1))
% 170.28/170.68 | ~ c_lessequals(X2,X0,X1)
% 170.28/170.68 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3757]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21488,plain,
% 170.28/170.68 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.68 | c_lessequals(c_SetInterval_OgreaterThan(X1,X0),c_SetInterval_OgreaterThan(X2,X0),tc_set(X0))
% 170.28/170.68 | ~ c_lessequals(X2,X1,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21487]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3754,plain,
% 170.28/170.68 ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 170.28/170.68 | ~ c_lessequals(X0,X2,X1)
% 170.28/170.68 | ~ class_Orderings_Oorder(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11792_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21481,plain,
% 170.28/170.68 ( c_lessequals(c_SetInterval_OatMost(X0,X1),c_SetInterval_OatMost(X2,X1),tc_set(X1))
% 170.28/170.68 | ~ c_lessequals(X0,X2,X1)
% 170.28/170.68 | ~ class_Orderings_Oorder(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3754]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21482,plain,
% 170.28/170.68 ( ~ class_Orderings_Oorder(X0)
% 170.28/170.68 | c_lessequals(c_SetInterval_OatMost(X1,X0),c_SetInterval_OatMost(X2,X0),tc_set(X0))
% 170.28/170.68 | ~ c_lessequals(X1,X2,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21481]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3751,plain,
% 170.28/170.68 ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 170.28/170.68 | ~ c_lessequals(X2,X0,X1)
% 170.28/170.68 | ~ class_Orderings_Oorder(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11793_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21475,plain,
% 170.28/170.68 ( c_lessequals(c_SetInterval_OatLeast(X0,X1),c_SetInterval_OatLeast(X2,X1),tc_set(X1))
% 170.28/170.68 | ~ c_lessequals(X2,X0,X1)
% 170.28/170.68 | ~ class_Orderings_Oorder(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3751]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21476,plain,
% 170.28/170.68 ( ~ class_Orderings_Oorder(X0)
% 170.28/170.68 | c_lessequals(c_SetInterval_OatLeast(X1,X0),c_SetInterval_OatLeast(X2,X0),tc_set(X0))
% 170.28/170.68 | ~ c_lessequals(X2,X1,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21475]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3749,plain,
% 170.28/170.68 ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = X0
% 170.28/170.68 | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11794_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21471,plain,
% 170.28/170.68 ( c_List_Onth(c_List_Olist_OCons(X0,X1,X2),c_Numeral_Onumber__of(X3,tc_nat),X2) = X0
% 170.28/170.68 | c_Numeral_Onumber__of(X3,tc_nat) != c_0 ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3749]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21472,plain,
% 170.28/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 170.28/170.68 | c_List_Onth(c_List_Olist_OCons(X1,X2,X3),c_Numeral_Onumber__of(X0,tc_nat),X3) = X1 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21471]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3747,plain,
% 170.28/170.68 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 170.28/170.68 | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11795_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21467,plain,
% 170.28/170.68 ( c_Wellfounded__Recursion_Oacyclic(X0,X1)
% 170.28/170.68 | ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3747]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21468,plain,
% 170.28/170.68 ( ~ c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 170.28/170.68 | c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21467]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3745,plain,
% 170.28/170.68 ( c_List_Odistinct(X0,X1)
% 170.28/170.68 | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11796_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21463,plain,
% 170.28/170.68 ( c_List_Odistinct(X0,X1)
% 170.28/170.68 | ~ c_List_Odistinct(c_List_Orotate(X2,X0,X1),X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3745]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21464,plain,
% 170.28/170.68 ( ~ c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 170.28/170.68 | c_List_Odistinct(X1,X2) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21463]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3743,plain,
% 170.28/170.68 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11797_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21459,plain,
% 170.28/170.68 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X2,X0,X1),X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3743]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21460,plain,
% 170.28/170.68 ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X1,X2) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21459]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3741,plain,
% 170.28/170.68 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11798_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21455,plain,
% 170.28/170.68 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_append(X0,X2,X1),X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3741]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21456,plain,
% 170.28/170.68 ( ~ c_List_Odistinct(c_append(X0,X1,X2),X2) | c_List_Odistinct(X0,X2) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21455]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3739,plain,
% 170.28/170.68 ( c_List_Odistinct(X0,X1)
% 170.28/170.68 | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11799_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21451,plain,
% 170.28/170.68 ( c_List_Odistinct(X0,X1)
% 170.28/170.68 | ~ c_List_Odistinct(c_List_Olist_OCons(X2,X0,X1),X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3739]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21452,plain,
% 170.28/170.68 ( ~ c_List_Odistinct(c_List_Olist_OCons(X0,X1,X2),X2)
% 170.28/170.68 | c_List_Odistinct(X1,X2) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21451]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3737,plain,
% 170.28/170.68 ( c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil
% 170.28/170.68 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11800_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21447,plain,
% 170.28/170.68 ( c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil
% 170.28/170.68 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3737]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21448,plain,
% 170.28/170.68 ( c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 170.28/170.68 | c_List_Otake(c_Numeral_Onumber__of(X0,tc_nat),c_List_Olist_OCons(X1,X2,X3),X3) = c_List_Olist_ONil ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21447]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3731,plain,
% 170.28/170.68 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | 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)
% 170.28/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11802_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21435,plain,
% 170.28/170.68 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | 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)
% 170.28/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3731]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21436,plain,
% 170.28/170.68 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | 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) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21435]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3728,plain,
% 170.28/170.68 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | 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)
% 170.28/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11803_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21429,plain,
% 170.28/170.68 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | 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)
% 170.28/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3728]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21430,plain,
% 170.28/170.68 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | 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) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21429]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3725,plain,
% 170.28/170.68 ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 170.28/170.68 | X0 = c_List_Olist_ONil ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11804_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21423,plain,
% 170.28/170.68 ( c_append(c_List_Otl(X0,X1),X2,X1) = c_List_Otl(c_append(X0,X2,X1),X1)
% 170.28/170.68 | X0 = c_List_Olist_ONil ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3725]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3723,plain,
% 170.28/170.68 ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 170.28/170.68 | X1 = c_List_Olist_ONil ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11805_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21419,plain,
% 170.28/170.68 ( c_List_Olist_OCons(X0,c_List_Obutlast(X1,X2),X2) = c_List_Obutlast(c_List_Olist_OCons(X0,X1,X2),X2)
% 170.28/170.68 | X1 = c_List_Olist_ONil ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3723]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3721,plain,
% 170.28/170.68 ( X0 = c_0
% 170.28/170.68 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11806_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21415,plain,
% 170.28/170.68 ( X0 = c_0
% 170.28/170.68 | c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3721]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21416,plain,
% 170.28/170.68 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | X0 = c_0 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21415]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3718,plain,
% 170.28/170.68 ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 170.28/170.68 | ~ c_lessequals(X0,X2,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11809_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21409,plain,
% 170.28/170.68 ( c_lessequals(c_OrderedGroup_Opprt(X0,X1),c_OrderedGroup_Opprt(X2,X1),X1)
% 170.28/170.68 | ~ c_lessequals(X0,X2,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3718]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21410,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.28/170.68 | c_lessequals(c_OrderedGroup_Opprt(X1,X0),c_OrderedGroup_Opprt(X2,X0),X0)
% 170.28/170.68 | ~ c_lessequals(X1,X2,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21409]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3715,plain,
% 170.28/170.68 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 170.28/170.68 | ~ c_lessequals(X0,X2,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11810_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21403,plain,
% 170.28/170.68 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_OrderedGroup_Onprt(X2,X1),X1)
% 170.28/170.68 | ~ c_lessequals(X0,X2,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3715]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21404,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.28/170.68 | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_OrderedGroup_Onprt(X2,X0),X0)
% 170.28/170.68 | ~ c_lessequals(X1,X2,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21403]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3712,plain,
% 170.28/170.68 ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 170.28/170.68 | ~ c_less(X2,X0,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11811_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21397,plain,
% 170.28/170.68 ( c_less(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 170.28/170.68 | ~ c_less(X2,X0,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3712]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21398,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | c_less(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 170.28/170.68 | ~ c_less(X2,X1,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21397]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3709,plain,
% 170.28/170.68 ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 170.28/170.68 | ~ c_lessequals(X2,X0,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11812_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21391,plain,
% 170.28/170.68 ( c_lessequals(c_uminus(X0,X1),c_uminus(X2,X1),X1)
% 170.28/170.68 | ~ c_lessequals(X2,X0,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3709]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21392,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | c_lessequals(c_uminus(X1,X0),c_uminus(X2,X0),X0)
% 170.28/170.68 | ~ c_lessequals(X2,X1,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21391]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3703,plain,
% 170.28/170.68 ( c_List_Otake(X0,X1,X2) = X1
% 170.28/170.68 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11814_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21379,plain,
% 170.28/170.68 ( c_List_Otake(X0,X1,X2) = X1
% 170.28/170.68 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3703]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21380,plain,
% 170.28/170.68 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 170.28/170.68 | c_List_Otake(X2,X0,X1) = X0 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21379]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3701,plain,
% 170.28/170.68 ( c_List_Orotate(X0,X1,X2) = X1
% 170.28/170.68 | c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0 ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11815_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21375,plain,
% 170.28/170.68 ( c_List_Orotate(X0,X1,X2) = X1
% 170.28/170.68 | c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0 ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3701]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21376,plain,
% 170.28/170.68 ( c_Divides_Oop_Amod(X0,c_Nat_Osize(X1,tc_List_Olist(X2)),tc_nat) != c_0
% 170.28/170.68 | c_List_Orotate(X0,X1,X2) = X1 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21375]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3699,plain,
% 170.28/170.68 ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil
% 170.28/170.68 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11816_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21371,plain,
% 170.28/170.68 ( c_List_Odrop(X0,X1,X2) = c_List_Olist_ONil
% 170.28/170.68 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),X0,tc_nat) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3699]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21372,plain,
% 170.28/170.68 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 170.28/170.68 | c_List_Odrop(X2,X0,X1) = c_List_Olist_ONil ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21371]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3692,plain,
% 170.28/170.68 ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 170.28/170.68 | ~ c_less(X0,X2,tc_nat)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11819_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21357,plain,
% 170.28/170.68 ( c_less(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 170.28/170.68 | ~ c_less(X0,X2,tc_nat)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3692]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21358,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.68 | c_less(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 170.28/170.68 | ~ c_less(X1,X2,tc_nat) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21357]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3689,plain,
% 170.28/170.68 ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 170.28/170.68 | ~ c_lessequals(X0,X2,tc_nat)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11820_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21351,plain,
% 170.28/170.68 ( c_lessequals(c_NatArith_Oof__nat(X0,X1),c_NatArith_Oof__nat(X2,X1),X1)
% 170.28/170.68 | ~ c_lessequals(X0,X2,tc_nat)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3689]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21352,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.68 | c_lessequals(c_NatArith_Oof__nat(X1,X0),c_NatArith_Oof__nat(X2,X0),X0)
% 170.28/170.68 | ~ c_lessequals(X1,X2,tc_nat) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21351]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3686,plain,
% 170.28/170.68 ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 170.28/170.68 | ~ c_less(X0,X2,tc_IntDef_Oint)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11821_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21345,plain,
% 170.28/170.68 ( c_less(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 170.28/170.68 | ~ c_less(X0,X2,tc_IntDef_Oint)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3686]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21346,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.68 | c_less(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 170.28/170.68 | ~ c_less(X1,X2,tc_IntDef_Oint) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21345]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3683,plain,
% 170.28/170.68 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 170.28/170.68 | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11822_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21339,plain,
% 170.28/170.68 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_IntDef_Oof__int(X2,X1),X1)
% 170.28/170.68 | ~ c_lessequals(X0,X2,tc_IntDef_Oint)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3683]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21340,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.68 | c_lessequals(c_IntDef_Oof__int(X1,X0),c_IntDef_Oof__int(X2,X0),X0)
% 170.28/170.68 | ~ c_lessequals(X1,X2,tc_IntDef_Oint) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21339]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3677,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11824_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21327,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3677]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3675,plain,
% 170.28/170.68 ( c_List_Orotate(X0,X1,X2) = X1
% 170.28/170.68 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11825_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21323,plain,
% 170.28/170.68 ( c_List_Orotate(X0,X1,X2) = X1
% 170.28/170.68 | ~ c_lessequals(c_Nat_Osize(X1,tc_List_Olist(X2)),c_1,tc_nat) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3675]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21324,plain,
% 170.28/170.68 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 170.28/170.68 | c_List_Orotate(X2,X0,X1) = X0 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21323]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3671,plain,
% 170.28/170.68 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11828_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21315,plain,
% 170.28/170.68 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3671]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21316,plain,
% 170.28/170.68 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21315]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3669,plain,
% 170.28/170.68 ( c_Parity_Oeven(X0,tc_nat)
% 170.28/170.68 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11829_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21311,plain,
% 170.28/170.68 ( c_Parity_Oeven(X0,tc_nat)
% 170.28/170.68 | ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3669]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21312,plain,
% 170.28/170.68 ( ~ c_Parity_Oeven(c_Nat_Opower(X0,X1,tc_nat),tc_nat)
% 170.28/170.68 | c_Parity_Oeven(X0,tc_nat) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21311]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3666,plain,
% 170.28/170.68 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 170.28/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11830_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21305,plain,
% 170.28/170.68 ( c_Numeral_Onumber__of(X0,X1) = c_0
% 170.28/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3666]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21306,plain,
% 170.28/170.68 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.68 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 170.28/170.68 | c_Numeral_Onumber__of(X1,X0) = c_0 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21305]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3656,plain,
% 170.28/170.68 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.68 | X1 = X0
% 170.28/170.68 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11833_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21285,plain,
% 170.28/170.68 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.68 | X1 = X0
% 170.28/170.68 | ~ c_lessequals(X1,X0,tc_set(X2)) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3656]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21286,plain,
% 170.28/170.68 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.68 | ~ c_lessequals(X1,X0,tc_set(X2))
% 170.28/170.68 | X1 = X0 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21285]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3637,plain,
% 170.28/170.68 ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11838_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21247,plain,
% 170.28/170.68 ( ~ c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X1,X0,tc_set(X2)) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3637]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3635,plain,
% 170.28/170.68 ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 170.28/170.68 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11839_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21243,plain,
% 170.28/170.68 ( c_in(c_Pow(X0,X1),c_Finite__Set_OFinites,tc_set(tc_set(X1)))
% 170.28/170.68 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3635]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3628,plain,
% 170.28/170.68 ( c_HOL_Oinverse(c_divide(X0,X1,X2),X2) = c_divide(X1,X0,X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11842_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21229,plain,
% 170.28/170.68 ( c_HOL_Oinverse(c_divide(X0,X1,X2),X2) = c_divide(X1,X0,X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3628]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21230,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_HOL_Oinverse(c_divide(X1,X2,X0),X0) = c_divide(X2,X1,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21229]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3623,plain,
% 170.28/170.68 ( X0 = c_0
% 170.28/170.68 | X1 = X2
% 170.28/170.68 | c_divide(X1,X0,X3) != c_divide(X2,X0,X3)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X3)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11843_4) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21219,plain,
% 170.28/170.68 ( X0 = c_0
% 170.28/170.68 | X1 = X2
% 170.28/170.68 | c_divide(X1,X0,X3) != c_divide(X2,X0,X3)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X3)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3623]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21220,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_divide(X1,X2,X0) != c_divide(X3,X2,X0)
% 170.28/170.68 | X2 = c_0
% 170.28/170.68 | X1 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21219]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3618,plain,
% 170.28/170.68 ( X0 = c_0
% 170.28/170.68 | X1 = X2
% 170.28/170.68 | c_divide(X0,X1,X3) != c_divide(X0,X2,X3)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X3)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11844_4) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21209,plain,
% 170.28/170.68 ( X0 = c_0
% 170.28/170.68 | X1 = X2
% 170.28/170.68 | c_divide(X0,X1,X3) != c_divide(X0,X2,X3)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X3)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3618]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21210,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_divide(X1,X2,X0) != c_divide(X1,X3,X0)
% 170.28/170.68 | X1 = c_0
% 170.28/170.68 | X2 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21209]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3615,plain,
% 170.28/170.68 ( c_less(X0,X1,X2)
% 170.28/170.68 | ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11845_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21203,plain,
% 170.28/170.68 ( c_less(X0,X1,X2)
% 170.28/170.68 | ~ c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3615]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21204,plain,
% 170.28/170.68 ( ~ class_Orderings_Oord(X0)
% 170.28/170.68 | c_less(X1,X2,X0)
% 170.28/170.68 | ~ c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21203]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3612,plain,
% 170.28/170.68 ( c_less(X0,X1,X2)
% 170.28/170.68 | ~ c_in(X1,c_SetInterval_OgreaterThan(X0,X2),X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11846_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21197,plain,
% 170.28/170.68 ( c_less(X0,X1,X2)
% 170.28/170.68 | ~ c_in(X1,c_SetInterval_OgreaterThan(X0,X2),X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3612]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21198,plain,
% 170.28/170.68 ( ~ class_Orderings_Oord(X0)
% 170.28/170.68 | c_less(X1,X2,X0)
% 170.28/170.68 | ~ c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21197]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3609,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,X2)
% 170.28/170.68 | ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11847_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21191,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,X2)
% 170.28/170.68 | ~ c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3609]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21192,plain,
% 170.28/170.68 ( ~ class_Orderings_Oord(X0)
% 170.28/170.68 | c_lessequals(X1,X2,X0)
% 170.28/170.68 | ~ c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21191]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3606,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,X2)
% 170.28/170.68 | ~ c_in(X1,c_SetInterval_OatLeast(X0,X2),X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11848_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21185,plain,
% 170.28/170.68 ( c_lessequals(X0,X1,X2)
% 170.28/170.68 | ~ c_in(X1,c_SetInterval_OatLeast(X0,X2),X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3606]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21186,plain,
% 170.28/170.68 ( ~ class_Orderings_Oord(X0)
% 170.28/170.68 | c_lessequals(X1,X2,X0)
% 170.28/170.68 | ~ c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21185]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3600,plain,
% 170.28/170.68 ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11850_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21173,plain,
% 170.28/170.68 ( c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3600]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21174,plain,
% 170.28/170.68 ( ~ c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.68 | c_IntDef_Oint(c_IntDef_Onat(c_Numeral_Onumber__of(X0,tc_IntDef_Oint))) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21173]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3594,plain,
% 170.28/170.68 ( c_less(c_0,X0,X1)
% 170.28/170.68 | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11852_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21161,plain,
% 170.28/170.68 ( c_less(c_0,X0,X1)
% 170.28/170.68 | ~ c_less(c_uminus(X0,X1),c_0,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3594]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21162,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | c_less(c_0,X1,X0)
% 170.28/170.68 | ~ c_less(c_uminus(X1,X0),c_0,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21161]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3591,plain,
% 170.28/170.68 ( c_lessequals(c_0,X0,X1)
% 170.28/170.68 | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11853_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21155,plain,
% 170.28/170.68 ( c_lessequals(c_0,X0,X1)
% 170.28/170.68 | ~ c_lessequals(c_uminus(X0,X1),c_0,X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3591]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21156,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | c_lessequals(c_0,X1,X0)
% 170.28/170.68 | ~ c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21155]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3588,plain,
% 170.28/170.68 ( c_less(X0,c_0,X1)
% 170.28/170.68 | ~ c_less(c_0,c_uminus(X0,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11854_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21149,plain,
% 170.28/170.68 ( c_less(X0,c_0,X1)
% 170.28/170.68 | ~ c_less(c_0,c_uminus(X0,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3588]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21150,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | ~ c_less(c_0,c_uminus(X1,X0),X0)
% 170.28/170.68 | c_less(X1,c_0,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21149]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3585,plain,
% 170.28/170.68 ( c_lessequals(X0,c_0,X1)
% 170.28/170.68 | ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11855_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21143,plain,
% 170.28/170.68 ( c_lessequals(X0,c_0,X1)
% 170.28/170.68 | ~ c_lessequals(c_0,c_uminus(X0,X1),X1)
% 170.28/170.68 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3585]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21144,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.68 | ~ c_lessequals(c_0,c_uminus(X1,X0),X0)
% 170.28/170.68 | c_lessequals(X1,c_0,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21143]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3582,plain,
% 170.28/170.68 ( c_less(c_0,X0,tc_nat)
% 170.28/170.68 | ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11858_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21137,plain,
% 170.28/170.68 ( c_less(c_0,X0,tc_nat)
% 170.28/170.68 | ~ c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3582]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21138,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.68 | ~ c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 170.28/170.68 | c_less(c_0,X1,tc_nat) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21137]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3579,plain,
% 170.28/170.68 ( c_less(X0,c_0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11859_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21131,plain,
% 170.28/170.68 ( c_less(X0,c_0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3579]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21132,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.68 | ~ c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 170.28/170.68 | c_less(X1,c_0,tc_IntDef_Oint) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21131]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3576,plain,
% 170.28/170.68 ( c_lessequals(X0,c_0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11860_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21125,plain,
% 170.28/170.68 ( c_lessequals(X0,c_0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3576]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21126,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.68 | ~ c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 170.28/170.68 | c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21125]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3573,plain,
% 170.28/170.68 ( c_less(c_0,X0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11861_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21119,plain,
% 170.28/170.68 ( c_less(c_0,X0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3573]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21120,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.68 | ~ c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 170.28/170.68 | c_less(c_0,X1,tc_IntDef_Oint) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21119]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3570,plain,
% 170.28/170.68 ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11862_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21113,plain,
% 170.28/170.68 ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 170.28/170.68 | ~ c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3570]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21114,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.68 | ~ c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 170.28/170.68 | c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21113]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3560,plain,
% 170.28/170.68 ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11865_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21093,plain,
% 170.28/170.68 ( c_in(X0,c_Pow(X1,X2),tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3560]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21094,plain,
% 170.28/170.68 ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_in(X0,c_Pow(X1,X2),tc_set(X2)) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21093]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3558,plain,
% 170.28/170.68 ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
% 170.28/170.68 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11866_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21089,plain,
% 170.28/170.68 ( c_uminus(c_minus(X0,X1,X2),X2) = c_minus(X1,X0,X2)
% 170.28/170.68 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3558]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21090,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.28/170.68 | c_uminus(c_minus(X1,X2,X0),X0) = c_minus(X2,X1,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21089]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3554,plain,
% 170.28/170.68 ( X0 = c_0
% 170.28/170.68 | X1 = X2
% 170.28/170.68 | c_times(X1,X0,X3) != c_times(X2,X0,X3)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11867_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21081,plain,
% 170.28/170.68 ( X0 = c_0
% 170.28/170.68 | X1 = X2
% 170.28/170.68 | c_times(X1,X0,X3) != c_times(X2,X0,X3)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3554]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21082,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_times(X1,X2,X0) != c_times(X3,X2,X0)
% 170.28/170.68 | X2 = c_0
% 170.28/170.68 | X1 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21081]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3550,plain,
% 170.28/170.68 ( X0 = c_0
% 170.28/170.68 | X1 = X2
% 170.28/170.68 | c_times(X0,X1,X3) != c_times(X0,X2,X3)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11868_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21073,plain,
% 170.28/170.68 ( X0 = c_0
% 170.28/170.68 | X1 = X2
% 170.28/170.68 | c_times(X0,X1,X3) != c_times(X0,X2,X3)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3550]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21074,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_times(X1,X2,X0) != c_times(X1,X3,X0)
% 170.28/170.68 | X1 = c_0
% 170.28/170.68 | X2 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21073]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3547,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_plus(X0,X2,X3) != c_plus(X1,X2,X3)
% 170.28/170.68 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11871_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21067,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_plus(X0,X2,X3) != c_plus(X1,X2,X3)
% 170.28/170.68 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3547]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21068,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.28/170.68 | c_plus(X1,X2,X0) != c_plus(X3,X2,X0)
% 170.28/170.68 | X1 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21067]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3544,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_plus(X2,X0,X3) != c_plus(X2,X1,X3)
% 170.28/170.68 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11872_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21061,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_plus(X2,X0,X3) != c_plus(X2,X1,X3)
% 170.28/170.68 | ~ class_OrderedGroup_Ocancel__semigroup__add(X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3544]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21062,plain,
% 170.28/170.68 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.28/170.68 | c_plus(X1,X2,X0) != c_plus(X1,X3,X0)
% 170.28/170.68 | X2 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21061]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3538,plain,
% 170.28/170.68 ( X0 = c_List_Olist_ONil
% 170.28/170.68 | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 170.28/170.68 | ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11874_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21049,plain,
% 170.28/170.68 ( X0 = c_List_Olist_ONil
% 170.28/170.68 | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 170.28/170.68 | ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2)) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3538]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21050,plain,
% 170.28/170.68 ( ~ c_in(X0,c_List_Oset(X1,tc_List_Olist(X2)),tc_List_Olist(X2))
% 170.28/170.68 | c_List_Oconcat(X1,X2) != c_List_Olist_ONil
% 170.28/170.68 | X0 = c_List_Olist_ONil ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21049]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3534,plain,
% 170.28/170.68 ( c_times(X0,c_divide(X1,X0,X2),X2) = X1
% 170.28/170.68 | X0 = c_0
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11875_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21041,plain,
% 170.28/170.68 ( c_times(X0,c_divide(X1,X0,X2),X2) = X1
% 170.28/170.68 | X0 = c_0
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3534]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21042,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_times(X1,c_divide(X2,X1,X0),X0) = X2
% 170.28/170.68 | X1 = c_0 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21041]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3530,plain,
% 170.28/170.68 ( c_times(c_divide(X0,X1,X2),X1,X2) = X0
% 170.28/170.68 | X1 = c_0
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11876_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21033,plain,
% 170.28/170.68 ( c_times(c_divide(X0,X1,X2),X1,X2) = X0
% 170.28/170.68 | X1 = c_0
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3530]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21034,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_times(c_divide(X1,X2,X0),X2,X0) = X1
% 170.28/170.68 | X2 = c_0 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21033]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3526,plain,
% 170.28/170.68 ( c_divide(c_times(X0,X1,X2),X1,X2) = X0
% 170.28/170.68 | X1 = c_0
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11877_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21025,plain,
% 170.28/170.68 ( c_divide(c_times(X0,X1,X2),X1,X2) = X0
% 170.28/170.68 | X1 = c_0
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3526]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21026,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_divide(c_times(X1,X2,X0),X2,X0) = X1
% 170.28/170.68 | X2 = c_0 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21025]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3522,plain,
% 170.28/170.68 ( c_divide(c_times(X0,X1,X2),X0,X2) = X1
% 170.28/170.68 | X0 = c_0
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11878_3) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21017,plain,
% 170.28/170.68 ( c_divide(c_times(X0,X1,X2),X0,X2) = X1
% 170.28/170.68 | X0 = c_0
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3522]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21018,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_divide(c_times(X1,X2,X0),X1,X0) = X2
% 170.28/170.68 | X1 = c_0 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21017]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3520,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11879_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21013,plain,
% 170.28/170.68 ( 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)
% 170.28/170.68 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3520]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21014,plain,
% 170.28/170.68 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.68 | 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) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_21013]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3518,plain,
% 170.28/170.68 ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 170.28/170.68 | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11880_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_21009,plain,
% 170.28/170.68 ( c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),X2,tc_nat)
% 170.28/170.68 | c_List_Odrop(X2,X0,X1) != c_List_Olist_ONil ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3518]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3500,plain,
% 170.28/170.68 ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 170.28/170.68 | X0 = c_0 ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11887_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20973,plain,
% 170.28/170.68 ( c_List_Oset(c_List_Oreplicate(X0,X1,X2),X2) = c_insert(X1,c_emptyset,X2)
% 170.28/170.68 | X0 = c_0 ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3500]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3497,plain,
% 170.28/170.68 ( c_divide(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_divide(X0,X2,X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11889_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20967,plain,
% 170.28/170.68 ( c_divide(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_divide(X0,X2,X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.68 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3497]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20968,plain,
% 170.28/170.68 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.68 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.68 | c_divide(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_divide(X1,X2,X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20967]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3494,plain,
% 170.28/170.68 ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 170.28/170.68 | ~ c_less(X0,X1,X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11891_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20961,plain,
% 170.28/170.68 ( c_in(X0,c_SetInterval_OlessThan(X1,X2),X2)
% 170.28/170.68 | ~ c_less(X0,X1,X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3494]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20962,plain,
% 170.28/170.68 ( ~ class_Orderings_Oord(X0)
% 170.28/170.68 | ~ c_less(X1,X2,X0)
% 170.28/170.68 | c_in(X1,c_SetInterval_OlessThan(X2,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20961]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3491,plain,
% 170.28/170.68 ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 170.28/170.68 | ~ c_less(X1,X0,X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11892_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20955,plain,
% 170.28/170.68 ( c_in(X0,c_SetInterval_OgreaterThan(X1,X2),X2)
% 170.28/170.68 | ~ c_less(X1,X0,X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3491]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20956,plain,
% 170.28/170.68 ( ~ class_Orderings_Oord(X0)
% 170.28/170.68 | ~ c_less(X1,X2,X0)
% 170.28/170.68 | c_in(X2,c_SetInterval_OgreaterThan(X1,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20955]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3488,plain,
% 170.28/170.68 ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 170.28/170.68 | ~ c_lessequals(X0,X1,X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11893_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20949,plain,
% 170.28/170.68 ( c_in(X0,c_SetInterval_OatMost(X1,X2),X2)
% 170.28/170.68 | ~ c_lessequals(X0,X1,X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3488]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20950,plain,
% 170.28/170.68 ( ~ class_Orderings_Oord(X0)
% 170.28/170.68 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.68 | c_in(X1,c_SetInterval_OatMost(X2,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20949]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3485,plain,
% 170.28/170.68 ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 170.28/170.68 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11894_2) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20943,plain,
% 170.28/170.68 ( c_in(X0,c_SetInterval_OatLeast(X1,X2),X2)
% 170.28/170.68 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.68 | ~ class_Orderings_Oord(X2) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3485]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20944,plain,
% 170.28/170.68 ( ~ class_Orderings_Oord(X0)
% 170.28/170.68 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.68 | c_in(X2,c_SetInterval_OatLeast(X1,X0),X0) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20943]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3483,plain,
% 170.28/170.68 ( c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat)
% 170.28/170.68 | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11896_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20939,plain,
% 170.28/170.68 ( c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat)
% 170.28/170.68 | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3483]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20940,plain,
% 170.28/170.68 ( ~ c_less(X0,X1,tc_nat)
% 170.28/170.68 | c_List_Olast(c_List_Oupt(X0,X1),tc_nat) = c_minus(X1,c_1,tc_nat) ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20939]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3481,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_Datatype__Universe_ONumb(X0,X2,X3) != c_Datatype__Universe_ONumb(X1,X2,X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11897_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20935,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_Datatype__Universe_ONumb(X0,X2,X3) != c_Datatype__Universe_ONumb(X1,X2,X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3481]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20936,plain,
% 170.28/170.68 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2)
% 170.28/170.68 | X0 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20935]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3479,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_Datatype__Universe_OLeaf(X0,X2,X3) != c_Datatype__Universe_OLeaf(X1,X2,X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11898_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20931,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_Datatype__Universe_OLeaf(X0,X2,X3) != c_Datatype__Universe_OLeaf(X1,X2,X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3479]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20932,plain,
% 170.28/170.68 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2)
% 170.28/170.68 | X0 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20931]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3477,plain,
% 170.28/170.68 ( X0 = X1 | c_Sum__Type_OInr(X0,X2,X3) != c_Sum__Type_OInr(X1,X2,X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11899_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20927,plain,
% 170.28/170.68 ( X0 = X1 | c_Sum__Type_OInr(X0,X2,X3) != c_Sum__Type_OInr(X1,X2,X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3477]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20928,plain,
% 170.28/170.68 ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInr(X3,X1,X2) | X0 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20927]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3475,plain,
% 170.28/170.68 ( X0 = X1 | c_Sum__Type_OInl(X0,X2,X3) != c_Sum__Type_OInl(X1,X2,X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11900_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20923,plain,
% 170.28/170.68 ( X0 = X1 | c_Sum__Type_OInl(X0,X2,X3) != c_Sum__Type_OInl(X1,X2,X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3475]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20924,plain,
% 170.28/170.68 ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInl(X3,X1,X2) | X0 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20923]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3469,plain,
% 170.28/170.68 ( X0 = X1 | c_append(X2,X0,X3) != c_append(X2,X1,X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11902_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20911,plain,
% 170.28/170.68 ( X0 = X1 | c_append(X2,X0,X3) != c_append(X2,X1,X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3469]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20912,plain,
% 170.28/170.68 ( c_append(X0,X1,X2) != c_append(X0,X3,X2) | X1 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20911]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3467,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11903_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20907,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3467]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20908,plain,
% 170.28/170.68 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 170.28/170.68 | X1 = X4 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20907]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3465,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11904_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20903,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3465]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20904,plain,
% 170.28/170.68 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 170.28/170.68 | X0 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20903]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3463,plain,
% 170.28/170.68 ( X0 = X1 | c_append(X0,X2,X3) != c_append(X1,X2,X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11905_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20899,plain,
% 170.28/170.68 ( X0 = X1 | c_append(X0,X2,X3) != c_append(X1,X2,X3) ),
% 170.28/170.68 inference(copy,[status(esa)],[c_3463]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20900,plain,
% 170.28/170.68 ( c_append(X0,X1,X2) != c_append(X3,X1,X2) | X0 = X3 ),
% 170.28/170.68 inference(rewriting,[status(thm)],[c_20899]) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_3461,plain,
% 170.28/170.68 ( X0 = X1
% 170.28/170.68 | c_Datatype__Universe_OIn1(X0,X2,X3) != c_Datatype__Universe_OIn1(X1,X2,X3) ),
% 170.28/170.68 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11906_1) ).
% 170.28/170.68
% 170.28/170.68 cnf(c_20895,plain,
% 170.28/170.69 ( X0 = X1
% 170.28/170.69 | c_Datatype__Universe_OIn1(X0,X2,X3) != c_Datatype__Universe_OIn1(X1,X2,X3) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3461]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20896,plain,
% 170.28/170.69 ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2)
% 170.28/170.69 | X0 = X3 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20895]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3459,plain,
% 170.28/170.69 ( X0 = X1
% 170.28/170.69 | c_Datatype__Universe_OIn0(X0,X2,X3) != c_Datatype__Universe_OIn0(X1,X2,X3) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11907_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20891,plain,
% 170.28/170.69 ( X0 = X1
% 170.28/170.69 | c_Datatype__Universe_OIn0(X0,X2,X3) != c_Datatype__Universe_OIn0(X1,X2,X3) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3459]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20892,plain,
% 170.28/170.69 ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2)
% 170.28/170.69 | X0 = X3 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20891]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3457,plain,
% 170.28/170.69 ( X0 = X1
% 170.28/170.69 | c_Datatype__Universe_OAtom(X0,X2,X3) != c_Datatype__Universe_OAtom(X1,X2,X3) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11908_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20887,plain,
% 170.28/170.69 ( X0 = X1
% 170.28/170.69 | c_Datatype__Universe_OAtom(X0,X2,X3) != c_Datatype__Universe_OAtom(X1,X2,X3) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3457]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20888,plain,
% 170.28/170.69 ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OAtom(X3,X1,X2)
% 170.28/170.69 | X0 = X3 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20887]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3455,plain,
% 170.28/170.69 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11909_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20883,plain,
% 170.28/170.69 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3455]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20884,plain,
% 170.28/170.69 ( ~ c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 170.28/170.69 | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20883]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3453,plain,
% 170.28/170.69 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11910_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20879,plain,
% 170.28/170.69 ( c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3453]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20880,plain,
% 170.28/170.69 ( ~ c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20879]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3451,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11913_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20875,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3451]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20876,plain,
% 170.28/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | 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) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20875]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3448,plain,
% 170.28/170.69 ( c_times(c_0,c_divide(X0,c_0,X1),X1) = c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11915_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20869,plain,
% 170.28/170.69 ( c_times(c_0,c_divide(X0,c_0,X1),X1) = c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3448]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20870,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.69 | c_times(c_0,c_divide(X1,c_0,X0),X0) = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20869]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3445,plain,
% 170.28/170.69 ( c_times(c_divide(X0,c_0,X1),c_0,X1) = c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11916_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20863,plain,
% 170.28/170.69 ( c_times(c_divide(X0,c_0,X1),c_0,X1) = c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3445]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20864,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.69 | c_times(c_divide(X1,c_0,X0),c_0,X0) = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20863]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3442,plain,
% 170.28/170.69 ( c_divide(c_times(X0,c_0,X1),c_0,X1) = c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11917_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20857,plain,
% 170.28/170.69 ( c_divide(c_times(X0,c_0,X1),c_0,X1) = c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3442]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20858,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.69 | c_divide(c_times(X1,c_0,X0),c_0,X0) = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20857]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3439,plain,
% 170.28/170.69 ( c_divide(c_0,c_times(X0,c_0,X1),X1) = c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11918_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20851,plain,
% 170.28/170.69 ( c_divide(c_0,c_times(X0,c_0,X1),X1) = c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3439]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20852,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.69 | c_divide(c_0,c_times(X1,c_0,X0),X0) = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20851]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3436,plain,
% 170.28/170.69 ( c_divide(c_times(c_0,X0,X1),c_0,X1) = c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11919_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20845,plain,
% 170.28/170.69 ( c_divide(c_times(c_0,X0,X1),c_0,X1) = c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3436]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20846,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.69 | c_divide(c_times(c_0,X1,X0),c_0,X0) = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20845]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3433,plain,
% 170.28/170.69 ( c_divide(c_0,c_times(c_0,X0,X1),X1) = c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11920_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20839,plain,
% 170.28/170.69 ( c_divide(c_0,c_times(c_0,X0,X1),X1) = c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3433]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20840,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.69 | c_divide(c_0,c_times(c_0,X1,X0),X0) = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20839]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3431,plain,
% 170.28/170.69 ( X0 = X1 | c_insert(X0,X2,X3) != c_insert(X1,c_emptyset,X3) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11927_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20835,plain,
% 170.28/170.69 ( X0 = X1 | c_insert(X0,X2,X3) != c_insert(X1,c_emptyset,X3) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3431]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20836,plain,
% 170.28/170.69 ( c_insert(X0,X1,X2) != c_insert(X3,c_emptyset,X2) | X0 = X3 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20835]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3429,plain,
% 170.28/170.69 ( X0 = X1 | c_insert(X1,c_emptyset,X2) != c_insert(X0,X3,X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11928_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20831,plain,
% 170.28/170.69 ( X0 = X1 | c_insert(X1,c_emptyset,X2) != c_insert(X0,X3,X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3429]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20832,plain,
% 170.28/170.69 ( c_insert(X0,c_emptyset,X1) != c_insert(X2,X3,X1) | X2 = X0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20831]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3426,plain,
% 170.28/170.69 ( c_less(c_uminus(X0,X1),c_0,X1)
% 170.28/170.69 | ~ c_less(c_0,X0,X1)
% 170.28/170.69 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11931_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20825,plain,
% 170.28/170.69 ( c_less(c_uminus(X0,X1),c_0,X1)
% 170.28/170.69 | ~ c_less(c_0,X0,X1)
% 170.28/170.69 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3426]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20826,plain,
% 170.28/170.69 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.69 | ~ c_less(c_0,X1,X0)
% 170.28/170.69 | c_less(c_uminus(X1,X0),c_0,X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20825]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3423,plain,
% 170.28/170.69 ( c_lessequals(c_uminus(X0,X1),c_0,X1)
% 170.28/170.69 | ~ c_lessequals(c_0,X0,X1)
% 170.28/170.69 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11932_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20819,plain,
% 170.28/170.69 ( c_lessequals(c_uminus(X0,X1),c_0,X1)
% 170.28/170.69 | ~ c_lessequals(c_0,X0,X1)
% 170.28/170.69 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3423]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20820,plain,
% 170.28/170.69 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.69 | ~ c_lessequals(c_0,X1,X0)
% 170.28/170.69 | c_lessequals(c_uminus(X1,X0),c_0,X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20819]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3420,plain,
% 170.28/170.69 ( c_less(c_0,c_uminus(X0,X1),X1)
% 170.28/170.69 | ~ c_less(X0,c_0,X1)
% 170.28/170.69 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11933_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20813,plain,
% 170.28/170.69 ( c_less(c_0,c_uminus(X0,X1),X1)
% 170.28/170.69 | ~ c_less(X0,c_0,X1)
% 170.28/170.69 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3420]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20814,plain,
% 170.28/170.69 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.69 | c_less(c_0,c_uminus(X1,X0),X0)
% 170.28/170.69 | ~ c_less(X1,c_0,X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20813]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3417,plain,
% 170.28/170.69 ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 170.28/170.69 | ~ c_lessequals(X0,c_0,X1)
% 170.28/170.69 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11934_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20807,plain,
% 170.28/170.69 ( c_lessequals(c_0,c_uminus(X0,X1),X1)
% 170.28/170.69 | ~ c_lessequals(X0,c_0,X1)
% 170.28/170.69 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3417]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20808,plain,
% 170.28/170.69 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.28/170.69 | c_lessequals(c_0,c_uminus(X1,X0),X0)
% 170.28/170.69 | ~ c_lessequals(X1,c_0,X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20807]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3414,plain,
% 170.28/170.69 ( X0 = c_0 | X1 = X2 | c_times(X1,X0,tc_nat) != c_times(X2,X0,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11935_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20801,plain,
% 170.28/170.69 ( X0 = c_0 | X1 = X2 | c_times(X1,X0,tc_nat) != c_times(X2,X0,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3414]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20802,plain,
% 170.28/170.69 ( c_times(X0,X1,tc_nat) != c_times(X2,X1,tc_nat) | X1 = c_0 | X0 = X2 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20801]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3411,plain,
% 170.28/170.69 ( X0 = c_0 | X1 = X2 | c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11936_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20795,plain,
% 170.28/170.69 ( X0 = c_0 | X1 = X2 | c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3411]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20796,plain,
% 170.28/170.69 ( c_times(X0,X1,tc_nat) != c_times(X0,X2,tc_nat) | X0 = c_0 | X1 = X2 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20795]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3408,plain,
% 170.28/170.69 ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 170.28/170.69 | ~ c_in(X0,c_IntDef_OInts,X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11937_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20789,plain,
% 170.28/170.69 ( c_in(c_uminus(X0,X1),c_IntDef_OInts,X1)
% 170.28/170.69 | ~ c_in(X0,c_IntDef_OInts,X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3408]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20790,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.28/170.69 | c_in(c_uminus(X1,X0),c_IntDef_OInts,X0)
% 170.28/170.69 | ~ c_in(X1,c_IntDef_OInts,X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20789]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3398,plain,
% 170.28/170.69 ( X0 = X1 | c_insert(X0,c_emptyset,X2) != c_insert(X1,c_emptyset,X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11942_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20769,plain,
% 170.28/170.69 ( X0 = X1 | c_insert(X0,c_emptyset,X2) != c_insert(X1,c_emptyset,X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3398]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20770,plain,
% 170.28/170.69 ( c_insert(X0,c_emptyset,X1) != c_insert(X2,c_emptyset,X1) | X0 = X2 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20769]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3396,plain,
% 170.28/170.69 ( X0 = X1 | c_plus(X0,X2,tc_nat) != c_plus(X1,X2,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11943_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20765,plain,
% 170.28/170.69 ( X0 = X1 | c_plus(X0,X2,tc_nat) != c_plus(X1,X2,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3396]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20766,plain,
% 170.28/170.69 ( c_plus(X0,X1,tc_nat) != c_plus(X2,X1,tc_nat) | X0 = X2 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20765]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3394,plain,
% 170.28/170.69 ( X0 = X1 | c_plus(X2,X0,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11944_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20761,plain,
% 170.28/170.69 ( X0 = X1 | c_plus(X2,X0,tc_nat) != c_plus(X2,X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3394]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20762,plain,
% 170.28/170.69 ( c_plus(X0,X1,tc_nat) != c_plus(X0,X2,tc_nat) | X1 = X2 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20761]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3391,plain,
% 170.28/170.69 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 170.28/170.69 | c_Numeral_Onumber__of(X0,X2) != c_Numeral_Onumber__of(X1,X2)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11945_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20755,plain,
% 170.28/170.69 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X0,c_Numeral_Obin__minus(X1)),X2),X2)
% 170.28/170.69 | c_Numeral_Onumber__of(X0,X2) != c_Numeral_Onumber__of(X1,X2)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3391]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20756,plain,
% 170.28/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(X1,c_Numeral_Obin__minus(X2)),X0),X0)
% 170.28/170.69 | c_Numeral_Onumber__of(X1,X0) != c_Numeral_Onumber__of(X2,X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20755]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3389,plain,
% 170.28/170.69 ( c_times(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_times(X0,X2,X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Oring(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11946_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20751,plain,
% 170.28/170.69 ( c_times(c_uminus(X0,X1),c_uminus(X2,X1),X1) = c_times(X0,X2,X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Oring(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3389]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20752,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Oring(X0)
% 170.28/170.69 | c_times(c_uminus(X1,X0),c_uminus(X2,X0),X0) = c_times(X1,X2,X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20751]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3386,plain,
% 170.28/170.69 ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 170.28/170.69 | ~ c_less(c_0,X0,tc_nat)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11947_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20745,plain,
% 170.28/170.69 ( c_less(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 170.28/170.69 | ~ c_less(c_0,X0,tc_nat)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3386]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20746,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.69 | c_less(c_0,c_NatArith_Oof__nat(X1,X0),X0)
% 170.28/170.69 | ~ c_less(c_0,X1,tc_nat) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20745]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3383,plain,
% 170.28/170.69 ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 170.28/170.69 | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11948_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20739,plain,
% 170.28/170.69 ( c_less(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 170.28/170.69 | ~ c_less(X0,c_0,tc_IntDef_Oint)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3383]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20740,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.69 | c_less(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 170.28/170.69 | ~ c_less(X1,c_0,tc_IntDef_Oint) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20739]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3380,plain,
% 170.28/170.69 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 170.28/170.69 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11949_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20733,plain,
% 170.28/170.69 ( c_lessequals(c_IntDef_Oof__int(X0,X1),c_0,X1)
% 170.28/170.69 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3380]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20734,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.69 | c_lessequals(c_IntDef_Oof__int(X1,X0),c_0,X0)
% 170.28/170.69 | ~ c_lessequals(X1,c_0,tc_IntDef_Oint) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20733]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3377,plain,
% 170.28/170.69 ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 170.28/170.69 | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11950_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20727,plain,
% 170.28/170.69 ( c_less(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 170.28/170.69 | ~ c_less(c_0,X0,tc_IntDef_Oint)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3377]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20728,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.69 | c_less(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 170.28/170.69 | ~ c_less(c_0,X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20727]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3374,plain,
% 170.28/170.69 ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 170.28/170.69 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11951_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20721,plain,
% 170.28/170.69 ( c_lessequals(c_0,c_IntDef_Oof__int(X0,X1),X1)
% 170.28/170.69 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3374]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20722,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.28/170.69 | c_lessequals(c_0,c_IntDef_Oof__int(X1,X0),X0)
% 170.28/170.69 | ~ c_lessequals(c_0,X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20721]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3372,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11952_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20717,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3372]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20718,plain,
% 170.28/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | 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) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20717]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3369,plain,
% 170.28/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11953_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20711,plain,
% 170.28/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Numeral_Onumber__of(X1,tc_nat) != c_Numeral_Onumber__of(X0,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3369]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3365,plain,
% 170.28/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11954_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20703,plain,
% 170.28/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Numeral_Onumber__of(X0,tc_nat) != c_Numeral_Onumber__of(X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3365]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3362,plain,
% 170.28/170.69 ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0
% 170.28/170.69 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11955_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20697,plain,
% 170.28/170.69 ( c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0
% 170.28/170.69 | ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat))) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3362]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20698,plain,
% 170.28/170.69 ( ~ c_in(X0,c_IntDef_OInteg,tc_set(tc_prod(tc_nat,tc_nat)))
% 170.28/170.69 | c_IntDef_ORep__Integ(c_IntDef_OAbs__Integ(X0)) = X0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20697]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3360,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11958_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20693,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3360]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20694,plain,
% 170.28/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.69 | 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) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20693]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3358,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11959_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20689,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3358]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20690,plain,
% 170.28/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.69 | 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) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20689]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3356,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11960_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20685,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3356]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20686,plain,
% 170.28/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.69 | 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) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20685]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3354,plain,
% 170.28/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11961_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20681,plain,
% 170.28/170.69 ( c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3354]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20682,plain,
% 170.28/170.69 ( ~ c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.69 | c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20681]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3348,plain,
% 170.28/170.69 ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 170.28/170.69 | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11963_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20669,plain,
% 170.28/170.69 ( c_times(X0,c_Main_Ozmod__eq__0D__dest__1(X0,X1),tc_IntDef_Oint) = X1
% 170.28/170.69 | c_Divides_Oop_Amod(X1,X0,tc_IntDef_Oint) != c_0 ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3348]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20670,plain,
% 170.28/170.69 ( c_Divides_Oop_Amod(X0,X1,tc_IntDef_Oint) != c_0
% 170.28/170.69 | c_times(X1,c_Main_Ozmod__eq__0D__dest__1(X1,X0),tc_IntDef_Oint) = X0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20669]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3346,plain,
% 170.28/170.69 ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 170.28/170.69 | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11964_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20665,plain,
% 170.28/170.69 ( c_times(X0,c_Main_Omod__eq__0D__dest__1(X0,X1),tc_nat) = X1
% 170.28/170.69 | c_Divides_Oop_Amod(X1,X0,tc_nat) != c_0 ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3346]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20666,plain,
% 170.28/170.69 ( c_Divides_Oop_Amod(X0,X1,tc_nat) != c_0
% 170.28/170.69 | c_times(X1,c_Main_Omod__eq__0D__dest__1(X1,X0),tc_nat) = X0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20665]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3344,plain,
% 170.28/170.69 ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11978_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20661,plain,
% 170.28/170.69 ( c_Divides_Oop_Advd(c_uminus(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3344]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3342,plain,
% 170.28/170.69 ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11979_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20657,plain,
% 170.28/170.69 ( c_Divides_Oop_Advd(X0,c_uminus(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Divides_Oop_Advd(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3342]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3340,plain,
% 170.28/170.69 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 170.28/170.69 | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X0,X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11980_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20653,plain,
% 170.28/170.69 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 170.28/170.69 | c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) != c_List_Orev(X0,X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3340]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20654,plain,
% 170.28/170.69 ( c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) != c_List_Orev(X2,X1)
% 170.28/170.69 | X2 = c_List_Olist_OCons(X0,c_List_Olist_ONil,X1) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20653]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3338,plain,
% 170.28/170.69 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 170.28/170.69 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11981_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20649,plain,
% 170.28/170.69 ( X0 = c_List_Olist_OCons(X1,c_List_Olist_ONil,X2)
% 170.28/170.69 | c_List_Orev(X0,X2) != c_List_Olist_OCons(X1,c_List_Olist_ONil,X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3338]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20650,plain,
% 170.28/170.69 ( c_List_Orev(X0,X1) != c_List_Olist_OCons(X2,c_List_Olist_ONil,X1)
% 170.28/170.69 | X0 = c_List_Olist_OCons(X2,c_List_Olist_ONil,X1) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20649]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3336,plain,
% 170.28/170.69 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 170.28/170.69 | X0 = c_0 ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11982_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20645,plain,
% 170.28/170.69 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X0,tc_IntDef_Oint) = X1
% 170.28/170.69 | X0 = c_0 ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3336]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3334,plain,
% 170.28/170.69 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 170.28/170.69 | X1 = c_0 ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11983_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20641,plain,
% 170.28/170.69 ( c_div(c_times(X0,X1,tc_IntDef_Oint),X1,tc_IntDef_Oint) = X0
% 170.28/170.69 | X1 = c_0 ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3334]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3331,plain,
% 170.28/170.69 ( X0 = X1 | c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11984_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20635,plain,
% 170.28/170.69 ( X0 = X1 | c_less(X0,X1,tc_set(X2)) | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3331]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20636,plain,
% 170.28/170.69 ( ~ c_lessequals(X0,X1,tc_set(X2)) | c_less(X0,X1,tc_set(X2)) | X0 = X1 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20635]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3328,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11986_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20629,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3328]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3325,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.69 | ~ c_Parity_Oeven(X0,tc_nat)
% 170.28/170.69 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11987_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20623,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.69 | ~ c_Parity_Oeven(X0,tc_nat)
% 170.28/170.69 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3325]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3322,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11988_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20617,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3322]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3320,plain,
% 170.28/170.69 ( X0 = c_0 | c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11993_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20613,plain,
% 170.28/170.69 ( X0 = c_0 | c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3320]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20614,plain,
% 170.28/170.69 ( c_less(c_0,c_Nat_Opower(X0,X1,tc_nat),tc_nat) | X0 = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20613]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3318,plain,
% 170.28/170.69 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12002_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20609,plain,
% 170.28/170.69 ( c_lessequals(X0,X1,tc_set(X2)) | ~ c_less(X0,X1,tc_set(X2)) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3318]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3316,plain,
% 170.28/170.69 ( c_minus(X0,X1,tc_set(X2)) = c_emptyset
% 170.28/170.69 | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12003_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20605,plain,
% 170.28/170.69 ( c_minus(X0,X1,tc_set(X2)) = c_emptyset
% 170.28/170.69 | ~ c_lessequals(X0,X1,tc_set(X2)) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3316]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20606,plain,
% 170.28/170.69 ( ~ c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.69 | c_minus(X0,X1,tc_set(X2)) = c_emptyset ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20605]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3314,plain,
% 170.28/170.69 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.69 | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12004_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20601,plain,
% 170.28/170.69 ( c_lessequals(X0,X1,tc_set(X2))
% 170.28/170.69 | c_minus(X0,X1,tc_set(X2)) != c_emptyset ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3314]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3312,plain,
% 170.28/170.69 ( c_List_Orotate1(X0,X1) = X0
% 170.28/170.69 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12005_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20597,plain,
% 170.28/170.69 ( c_List_Orotate1(X0,X1) = X0
% 170.28/170.69 | ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3312]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20598,plain,
% 170.28/170.69 ( ~ c_lessequals(c_Nat_Osize(X0,tc_List_Olist(X1)),c_1,tc_nat)
% 170.28/170.69 | c_List_Orotate1(X0,X1) = X0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20597]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3310,plain,
% 170.28/170.69 ( c_less(X0,X1,tc_nat) | ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12006_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20593,plain,
% 170.28/170.69 ( c_less(X0,X1,tc_nat) | ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3310]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20594,plain,
% 170.28/170.69 ( ~ c_less(c_Suc(X0),c_Suc(X1),tc_nat) | c_less(X0,X1,tc_nat) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20593]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3308,plain,
% 170.28/170.69 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.69 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12007_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20589,plain,
% 170.28/170.69 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.69 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3308]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20590,plain,
% 170.28/170.69 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 170.28/170.69 | c_lessequals(X0,X1,tc_nat) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20589]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3306,plain,
% 170.28/170.69 ( c_less(X0,X1,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12008_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20585,plain,
% 170.28/170.69 ( c_less(X0,X1,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3306]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20586,plain,
% 170.28/170.69 ( ~ c_less(c_IntDef_Onat(X0),c_IntDef_Onat(X1),tc_nat)
% 170.28/170.69 | c_less(X0,X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20585]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3304,plain,
% 170.28/170.69 ( c_less(X0,X1,tc_nat)
% 170.28/170.69 | ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12009_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20581,plain,
% 170.28/170.69 ( c_less(X0,X1,tc_nat)
% 170.28/170.69 | ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3304]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20582,plain,
% 170.28/170.69 ( ~ c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 170.28/170.69 | c_less(X0,X1,tc_nat) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20581]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3302,plain,
% 170.28/170.69 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.69 | ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12010_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20577,plain,
% 170.28/170.69 ( c_lessequals(X0,X1,tc_nat)
% 170.28/170.69 | ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3302]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20578,plain,
% 170.28/170.69 ( ~ c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 170.28/170.69 | c_lessequals(X0,X1,tc_nat) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20577]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3300,plain,
% 170.28/170.69 ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12011_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20573,plain,
% 170.28/170.69 ( c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3300]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20574,plain,
% 170.28/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_times(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20573]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3298,plain,
% 170.28/170.69 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12012_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20569,plain,
% 170.28/170.69 ( c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3298]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20570,plain,
% 170.28/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Divides_Oop_Amod(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20569]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3296,plain,
% 170.28/170.69 ( c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12013_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20565,plain,
% 170.28/170.69 ( c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3296]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20566,plain,
% 170.28/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_div(c_Numeral_Onumber__of(X0,tc_nat),c_Numeral_Onumber__of(X1,tc_nat),tc_nat) = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20565]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3294,plain,
% 170.28/170.69 ( c_less(c_0,X0,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12014_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20561,plain,
% 170.28/170.69 ( c_less(c_0,X0,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_less(c_IntDef_Onat(X1),c_IntDef_Onat(X0),tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3294]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3292,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12015_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20557,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3292]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20558,plain,
% 170.28/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.69 | 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) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20557]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3290,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12016_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20553,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3290]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20554,plain,
% 170.28/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.69 | 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) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20553]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3284,plain,
% 170.28/170.69 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12023_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20541,plain,
% 170.28/170.69 ( c_less(c_0,c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3284]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3277,plain,
% 170.28/170.69 ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12026_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20527,plain,
% 170.28/170.69 ( c_less(c_Suc(X0),c_Suc(X1),tc_nat) | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3277]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3275,plain,
% 170.28/170.69 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 170.28/170.69 | ~ c_lessequals(X0,X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12027_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20523,plain,
% 170.28/170.69 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 170.28/170.69 | ~ c_lessequals(X0,X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3275]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3273,plain,
% 170.28/170.69 ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12028_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20519,plain,
% 170.28/170.69 ( c_less(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3273]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3271,plain,
% 170.28/170.69 ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_lessequals(X0,X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12029_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20515,plain,
% 170.28/170.69 ( c_lessequals(c_IntDef_Oint(X0),c_IntDef_Oint(X1),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_lessequals(X0,X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3271]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3264,plain,
% 170.28/170.69 ( c_SetInterval_OgreaterThanAtMost(X0,X1,X2) = c_emptyset
% 170.28/170.69 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.69 | ~ class_Orderings_Oorder(X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12032_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20501,plain,
% 170.28/170.69 ( c_SetInterval_OgreaterThanAtMost(X0,X1,X2) = c_emptyset
% 170.28/170.69 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.69 | ~ class_Orderings_Oorder(X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3264]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20502,plain,
% 170.28/170.69 ( ~ class_Orderings_Oorder(X0)
% 170.28/170.69 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.69 | c_SetInterval_OgreaterThanAtMost(X2,X1,X0) = c_emptyset ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20501]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3261,plain,
% 170.28/170.69 ( c_SetInterval_OatLeastLessThan(X0,X1,X2) = c_emptyset
% 170.28/170.69 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.69 | ~ class_Orderings_Oorder(X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12033_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20495,plain,
% 170.28/170.69 ( c_SetInterval_OatLeastLessThan(X0,X1,X2) = c_emptyset
% 170.28/170.69 | ~ c_lessequals(X1,X0,X2)
% 170.28/170.69 | ~ class_Orderings_Oorder(X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3261]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20496,plain,
% 170.28/170.69 ( ~ class_Orderings_Oorder(X0)
% 170.28/170.69 | ~ c_lessequals(X1,X2,X0)
% 170.28/170.69 | c_SetInterval_OatLeastLessThan(X2,X1,X0) = c_emptyset ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20495]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3258,plain,
% 170.28/170.69 ( c_SetInterval_OatLeastAtMost(X0,X1,X2) = c_emptyset
% 170.28/170.69 | ~ c_less(X1,X0,X2)
% 170.28/170.69 | ~ class_Orderings_Oorder(X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12034_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20489,plain,
% 170.28/170.69 ( c_SetInterval_OatLeastAtMost(X0,X1,X2) = c_emptyset
% 170.28/170.69 | ~ c_less(X1,X0,X2)
% 170.28/170.69 | ~ class_Orderings_Oorder(X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3258]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20490,plain,
% 170.28/170.69 ( ~ class_Orderings_Oorder(X0)
% 170.28/170.69 | ~ c_less(X1,X2,X0)
% 170.28/170.69 | c_SetInterval_OatLeastAtMost(X2,X1,X0) = c_emptyset ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20489]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3256,plain,
% 170.28/170.69 ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12035_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20485,plain,
% 170.28/170.69 ( c_in(X0,c_uminus(X1,tc_set(X2)),X2) | c_in(X0,X1,X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3256]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3250,plain,
% 170.28/170.69 ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 170.28/170.69 | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12040_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20473,plain,
% 170.28/170.69 ( c_Wellfounded__Recursion_Oacyclic(c_Relation_Oconverse(X0,X1,X1),X1)
% 170.28/170.69 | ~ c_Wellfounded__Recursion_Oacyclic(X0,X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3250]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3248,plain,
% 170.28/170.69 ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 170.28/170.69 | ~ c_List_Odistinct(X1,X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12041_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20469,plain,
% 170.28/170.69 ( c_List_Odistinct(c_List_Otake(X0,X1,X2),X2)
% 170.28/170.69 | ~ c_List_Odistinct(X1,X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3248]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3246,plain,
% 170.28/170.69 ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 170.28/170.69 | ~ c_List_Odistinct(X0,X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12042_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20465,plain,
% 170.28/170.69 ( c_List_Odistinct(c_List_Osublist(X0,X1,X2),X2)
% 170.28/170.69 | ~ c_List_Odistinct(X0,X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3246]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3244,plain,
% 170.28/170.69 ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 170.28/170.69 | ~ c_List_Odistinct(X1,X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12043_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20461,plain,
% 170.28/170.69 ( c_List_Odistinct(c_List_Orotate(X0,X1,X2),X2)
% 170.28/170.69 | ~ c_List_Odistinct(X1,X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3244]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3242,plain,
% 170.28/170.69 ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 170.28/170.69 | ~ c_List_Odistinct(X1,X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12044_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20457,plain,
% 170.28/170.69 ( c_List_Odistinct(c_List_Oremove1(X0,X1,X2),X2)
% 170.28/170.69 | ~ c_List_Odistinct(X1,X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3242]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3240,plain,
% 170.28/170.69 ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 170.28/170.69 | ~ c_List_Odistinct(X1,X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12045_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20453,plain,
% 170.28/170.69 ( c_List_Odistinct(c_List_Odrop(X0,X1,X2),X2)
% 170.28/170.69 | ~ c_List_Odistinct(X1,X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3240]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3236,plain,
% 170.28/170.69 ( c_less(c_0,X0,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12048_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20445,plain,
% 170.28/170.69 ( c_less(c_0,X0,tc_IntDef_Oint)
% 170.28/170.69 | ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3236]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20446,plain,
% 170.28/170.69 ( ~ c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 170.28/170.69 | c_less(c_0,X0,tc_IntDef_Oint) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20445]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3234,plain,
% 170.28/170.69 ( c_less(c_0,X0,tc_nat)
% 170.28/170.69 | ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12049_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20441,plain,
% 170.28/170.69 ( c_less(c_0,X0,tc_nat)
% 170.28/170.69 | ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3234]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20442,plain,
% 170.28/170.69 ( ~ c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 170.28/170.69 | c_less(c_0,X0,tc_nat) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20441]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3231,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.69 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12050_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20435,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_plus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.69 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3231]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3228,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.69 | c_Parity_Oeven(X0,tc_nat)
% 170.28/170.69 | c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12051_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20429,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_plus(X0,X1,tc_nat),tc_nat)
% 170.28/170.69 | c_Parity_Oeven(X0,tc_nat)
% 170.28/170.69 | c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3228]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3225,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.69 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12052_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20423,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_minus(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.28/170.69 | c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3225]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3223,plain,
% 170.28/170.69 ( X0 = c_Datatype_Ooption_OSome(X1,X2)
% 170.28/170.69 | ~ c_in(X1,c_Datatype_Oo2s(X0,X2),X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12053_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20419,plain,
% 170.28/170.69 ( X0 = c_Datatype_Ooption_OSome(X1,X2)
% 170.28/170.69 | ~ c_in(X1,c_Datatype_Oo2s(X0,X2),X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3223]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20420,plain,
% 170.28/170.69 ( ~ c_in(X0,c_Datatype_Oo2s(X1,X2),X2)
% 170.28/170.69 | X1 = c_Datatype_Ooption_OSome(X0,X2) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20419]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3221,plain,
% 170.28/170.69 ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
% 170.28/170.69 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12054_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20415,plain,
% 170.28/170.69 ( c_minus(X0,c_uminus(X1,X2),X2) = c_plus(X0,X1,X2)
% 170.28/170.69 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3221]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20416,plain,
% 170.28/170.69 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.28/170.69 | c_minus(X1,c_uminus(X2,X0),X0) = c_plus(X1,X2,X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20415]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3218,plain,
% 170.28/170.69 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.69 | c_Numeral_Onumber__of(X0,X1) != c_0
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12055_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20409,plain,
% 170.28/170.69 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X0)),X1),X1)
% 170.28/170.69 | c_Numeral_Onumber__of(X0,X1) != c_0
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3218]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20410,plain,
% 170.28/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.69 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_Obin__add(c_Numeral_OPls,c_Numeral_Obin__minus(X1)),X0),X0)
% 170.28/170.69 | c_Numeral_Onumber__of(X1,X0) != c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20409]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3216,plain,
% 170.28/170.69 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 170.28/170.69 | c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12056_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20405,plain,
% 170.28/170.69 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 170.28/170.69 | c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3216]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20406,plain,
% 170.28/170.69 ( c_in(c_Main_Oconcat__eq__Nil__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 170.28/170.69 | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20405]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3214,plain,
% 170.28/170.69 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 170.28/170.69 | c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12057_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20401,plain,
% 170.28/170.69 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 170.28/170.69 | c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1)) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3214]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20402,plain,
% 170.28/170.69 ( c_in(c_Main_ONil__eq__concat__conv__1(X0,X1),c_List_Oset(X0,tc_List_Olist(X1)),tc_List_Olist(X1))
% 170.28/170.69 | c_List_Oconcat(X0,X1) = c_List_Olist_ONil ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20401]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3212,plain,
% 170.28/170.69 ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 170.28/170.69 | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12058_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20397,plain,
% 170.28/170.69 ( c_less(c_0,c_IntDef_Onat(X0),tc_nat)
% 170.28/170.69 | ~ c_less(c_0,X0,tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3212]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3210,plain,
% 170.28/170.69 ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12059_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20393,plain,
% 170.28/170.69 ( c_less(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3210]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3204,plain,
% 170.28/170.69 ( c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12061_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20381,plain,
% 170.28/170.69 ( c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3204]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20382,plain,
% 170.28/170.69 ( ~ c_less(X0,X1,tc_nat) | c_Divides_Oop_Amod(X0,X1,tc_nat) = X0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20381]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3197,plain,
% 170.28/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12064_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20367,plain,
% 170.28/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat)
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3197]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20368,plain,
% 170.28/170.69 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | c_Numeral_Onumber__of(X0,tc_nat) = c_Numeral_Onumber__of(X1,tc_nat) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20367]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3194,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.69 | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12065_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20361,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat)
% 170.28/170.69 | ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3194]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20362,plain,
% 170.28/170.69 ( ~ c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 170.28/170.69 | c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20361]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3192,plain,
% 170.28/170.69 ( c_minus(X0,X1,tc_nat) = c_0 | ~ c_lessequals(X0,X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12068_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20357,plain,
% 170.28/170.69 ( c_minus(X0,X1,tc_nat) = c_0 | ~ c_lessequals(X0,X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3192]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20358,plain,
% 170.28/170.69 ( ~ c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20357]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3190,plain,
% 170.28/170.69 ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12069_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20353,plain,
% 170.28/170.69 ( c_lessequals(X0,X1,tc_nat) | c_minus(X0,X1,tc_nat) != c_0 ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3190]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3188,plain,
% 170.28/170.69 ( c_div(X0,X1,tc_nat) = c_0 | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12070_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20349,plain,
% 170.28/170.69 ( c_div(X0,X1,tc_nat) = c_0 | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3188]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20350,plain,
% 170.28/170.69 ( ~ c_less(X0,X1,tc_nat) | c_div(X0,X1,tc_nat) = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20349]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3186,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12071_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20345,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(X1,tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3186]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3184,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12072_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20341,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3184]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3182,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.69 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12073_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20337,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.69 | ~ c_Parity_Oeven(X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3182]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3180,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.69 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12074_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20333,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_times(X0,X1,tc_nat),tc_nat)
% 170.28/170.69 | ~ c_Parity_Oeven(X0,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3180]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3178,plain,
% 170.28/170.69 ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 170.28/170.69 | X1 = c_List_Olist_ONil ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12076_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20329,plain,
% 170.28/170.69 ( c_List_Olast(c_append(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 170.28/170.69 | X1 = c_List_Olist_ONil ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3178]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3176,plain,
% 170.28/170.69 ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 170.28/170.69 | X1 = c_List_Olist_ONil ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12077_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20325,plain,
% 170.28/170.69 ( c_List_Olast(c_List_Olist_OCons(X0,X1,X2),X2) = c_List_Olast(X1,X2)
% 170.28/170.69 | X1 = c_List_Olist_ONil ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3176]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3174,plain,
% 170.28/170.69 ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 170.28/170.69 | X0 = c_List_Olist_ONil ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12078_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20321,plain,
% 170.28/170.69 ( c_List_Ohd(c_append(X0,X1,X2),X2) = c_List_Ohd(X0,X2)
% 170.28/170.69 | X0 = c_List_Olist_ONil ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3174]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3171,plain,
% 170.28/170.69 ( X0 = c_0
% 170.28/170.69 | c_LOrder_Omeet(X0,c_uminus(X0,X1),X1) != c_0
% 170.28/170.69 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12079_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20315,plain,
% 170.28/170.69 ( X0 = c_0
% 170.28/170.69 | c_LOrder_Omeet(X0,c_uminus(X0,X1),X1) != c_0
% 170.28/170.69 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3171]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20316,plain,
% 170.28/170.69 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.28/170.69 | c_LOrder_Omeet(X1,c_uminus(X1,X0),X0) != c_0
% 170.28/170.69 | X1 = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20315]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3168,plain,
% 170.28/170.69 ( X0 = c_0
% 170.28/170.69 | c_LOrder_Ojoin(X0,c_uminus(X0,X1),X1) != c_0
% 170.28/170.69 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12080_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20309,plain,
% 170.28/170.69 ( X0 = c_0
% 170.28/170.69 | c_LOrder_Ojoin(X0,c_uminus(X0,X1),X1) != c_0
% 170.28/170.69 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3168]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20310,plain,
% 170.28/170.69 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.28/170.69 | c_LOrder_Ojoin(X1,c_uminus(X1,X0),X0) != c_0
% 170.28/170.69 | X1 = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20309]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3166,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12083_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20305,plain,
% 170.28/170.69 ( 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)
% 170.28/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3166]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20306,plain,
% 170.28/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.28/170.69 | 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) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20305]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3164,plain,
% 170.28/170.69 ( c_div(X0,X0,tc_nat) = c_1 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12088_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20301,plain,
% 170.28/170.69 ( c_div(X0,X0,tc_nat) = c_1 | ~ c_less(c_0,X0,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3164]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20302,plain,
% 170.28/170.69 ( ~ c_less(c_0,X0,tc_nat) | c_div(X0,X0,tc_nat) = c_1 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20301]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3158,plain,
% 170.28/170.69 ( X0 = c_0
% 170.28/170.69 | ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 170.28/170.69 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12090_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20289,plain,
% 170.28/170.69 ( X0 = c_0
% 170.28/170.69 | ~ c_lessequals(c_HOL_Oabs(X0,X1),c_0,X1)
% 170.28/170.69 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3158]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20290,plain,
% 170.28/170.69 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.28/170.69 | ~ c_lessequals(c_HOL_Oabs(X1,X0),c_0,X0)
% 170.28/170.69 | X1 = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20289]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3155,plain,
% 170.28/170.69 ( c_divide(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oinverse(c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12091_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20283,plain,
% 170.28/170.69 ( c_divide(c_1,c_Numeral_Onumber__of(X0,X1),X1) = c_HOL_Oinverse(c_Numeral_Onumber__of(X0,X1),X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Numeral_Onumber(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3155]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20284,plain,
% 170.28/170.69 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.69 | c_divide(c_1,c_Numeral_Onumber__of(X1,X0),X0) = c_HOL_Oinverse(c_Numeral_Onumber__of(X1,X0),X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20283]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3152,plain,
% 170.28/170.69 ( X0 = c_0
% 170.28/170.69 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12092_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20277,plain,
% 170.28/170.69 ( X0 = c_0
% 170.28/170.69 | ~ c_lessequals(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3152]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20278,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.69 | ~ c_lessequals(c_NatArith_Oof__nat(X1,X0),c_0,X0)
% 170.28/170.69 | X1 = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20277]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3150,plain,
% 170.28/170.69 ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 170.28/170.69 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12096_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20273,plain,
% 170.28/170.69 ( ~ c_less(c_HOL_Oabs(X0,X1),c_0,X1)
% 170.28/170.69 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3150]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20274,plain,
% 170.28/170.69 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.28/170.69 | ~ c_less(c_HOL_Oabs(X1,X0),c_0,X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20273]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3148,plain,
% 170.28/170.69 ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12097_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20269,plain,
% 170.28/170.69 ( ~ c_less(c_NatArith_Oof__nat(X0,X1),c_0,X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3148]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20270,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.28/170.69 | ~ c_less(c_NatArith_Oof__nat(X1,X0),c_0,X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20269]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3146,plain,
% 170.28/170.69 ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 170.28/170.69 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12100_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20265,plain,
% 170.28/170.69 ( ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0)
% 170.28/170.69 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3146]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20266,plain,
% 170.28/170.69 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.28/170.69 | ~ c_less(c_0,c_HOL_Oabs(c_0,X0),X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20265]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3144,plain,
% 170.28/170.69 ( c_Finite__Set_OMin(c_insert(X0,c_emptyset,X1),X1) = X0
% 170.28/170.69 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12101_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20261,plain,
% 170.28/170.69 ( c_Finite__Set_OMin(c_insert(X0,c_emptyset,X1),X1) = X0
% 170.28/170.69 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3144]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20262,plain,
% 170.28/170.69 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.69 | c_Finite__Set_OMin(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20261]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3142,plain,
% 170.28/170.69 ( c_Finite__Set_OMax(c_insert(X0,c_emptyset,X1),X1) = X0
% 170.28/170.69 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12102_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20257,plain,
% 170.28/170.69 ( c_Finite__Set_OMax(c_insert(X0,c_emptyset,X1),X1) = X0
% 170.28/170.69 | ~ class_Orderings_Olinorder(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3142]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20258,plain,
% 170.28/170.69 ( ~ class_Orderings_Olinorder(X0)
% 170.28/170.69 | c_Finite__Set_OMax(c_insert(X1,c_emptyset,X0),X0) = X1 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20257]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3132,plain,
% 170.28/170.69 ( c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2) = c_0
% 170.28/170.69 | c_Numeral_Onumber__of(X1,X2) != c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.69 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12105_4) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20237,plain,
% 170.28/170.69 ( c_divide(X0,c_Numeral_Onumber__of(X1,X2),X2) = c_0
% 170.28/170.69 | c_Numeral_Onumber__of(X1,X2) != c_0
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X2)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X2)
% 170.28/170.69 | ~ class_Numeral_Onumber(X2) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3132]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20238,plain,
% 170.28/170.69 ( ~ class_Numeral_Onumber(X0)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.69 | c_Numeral_Onumber__of(X1,X0) != c_0
% 170.28/170.69 | c_divide(X2,c_Numeral_Onumber__of(X1,X0),X0) = c_0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20237]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3130,plain,
% 170.28/170.69 ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12106_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20233,plain,
% 170.28/170.69 ( c_List_Olast(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3130]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3128,plain,
% 170.28/170.69 ( c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12107_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20229,plain,
% 170.28/170.69 ( c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 | ~ c_less(X0,X1,tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3128]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20230,plain,
% 170.28/170.69 ( ~ c_less(X0,X1,tc_nat) | c_List_Ohd(c_List_Oupt(X0,X1),tc_nat) = X0 ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20229]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3126,plain,
% 170.28/170.69 ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12108_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20225,plain,
% 170.28/170.69 ( c_List_Ohd(c_List_Oreplicate(X0,X1,X2),X2) = X1 | X0 = c_0 ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3126]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3124,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12111_1) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20221,plain,
% 170.28/170.69 ( c_Parity_Oeven(c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)),tc_IntDef_Oint)
% 170.28/170.69 | ~ c_Parity_Oeven(c_Numeral_Onumber__of(X0,tc_nat),tc_nat) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3124]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3121,plain,
% 170.28/170.69 ( c_divide(X0,c_0,X1) = c_divide(X2,c_0,X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12112_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20215,plain,
% 170.28/170.69 ( c_divide(X0,c_0,X1) = c_divide(X2,c_0,X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3121]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20216,plain,
% 170.28/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.28/170.69 | c_divide(X1,c_0,X0) = c_divide(X2,c_0,X0) ),
% 170.28/170.69 inference(rewriting,[status(thm)],[c_20215]) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_3118,plain,
% 170.28/170.69 ( c_divide(c_0,X0,X1) = c_divide(c_0,X2,X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12113_2) ).
% 170.28/170.69
% 170.28/170.69 cnf(c_20209,plain,
% 170.28/170.69 ( c_divide(c_0,X0,X1) = c_divide(c_0,X2,X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.28/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.28/170.69 inference(copy,[status(esa)],[c_3118]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20210,plain,
% 170.39/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.69 | c_divide(c_0,X1,X0) = c_divide(c_0,X2,X0) ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20209]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3106,plain,
% 170.39/170.69 ( X0 = c_emptyset
% 170.39/170.69 | c_Union(X1,X2) != c_emptyset
% 170.39/170.69 | ~ c_in(X0,X1,tc_set(X2)) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12117_2) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20185,plain,
% 170.39/170.69 ( X0 = c_emptyset
% 170.39/170.69 | c_Union(X1,X2) != c_emptyset
% 170.39/170.69 | ~ c_in(X0,X1,tc_set(X2)) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3106]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20186,plain,
% 170.39/170.69 ( ~ c_in(X0,X1,tc_set(X2))
% 170.39/170.69 | c_Union(X1,X2) != c_emptyset
% 170.39/170.69 | X0 = c_emptyset ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20185]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3100,plain,
% 170.39/170.69 ( X0 = c_UNIV | c_Inter(X1,X2) != c_UNIV | ~ c_in(X0,X1,tc_set(X2)) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12119_2) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20173,plain,
% 170.39/170.69 ( X0 = c_UNIV | c_Inter(X1,X2) != c_UNIV | ~ c_in(X0,X1,tc_set(X2)) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3100]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20174,plain,
% 170.39/170.69 ( ~ c_in(X0,X1,tc_set(X2)) | c_Inter(X1,X2) != c_UNIV | X0 = c_UNIV ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20173]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3098,plain,
% 170.39/170.69 ( c_List_Oremdups(X0,X1) = X0
% 170.39/170.69 | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12120_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20169,plain,
% 170.39/170.69 ( c_List_Oremdups(X0,X1) = X0
% 170.39/170.69 | c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1)) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3098]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20170,plain,
% 170.39/170.69 ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) != c_Nat_Osize(X0,tc_List_Olist(X1))
% 170.39/170.69 | c_List_Oremdups(X0,X1) = X0 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20169]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3095,plain,
% 170.39/170.69 ( c_uminus(X0,X1) = c_HOL_Oabs(X0,X1)
% 170.39/170.69 | ~ c_lessequals(X0,c_0,X1)
% 170.39/170.69 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12121_2) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20163,plain,
% 170.39/170.69 ( c_uminus(X0,X1) = c_HOL_Oabs(X0,X1)
% 170.39/170.69 | ~ c_lessequals(X0,c_0,X1)
% 170.39/170.69 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3095]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20164,plain,
% 170.39/170.69 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.69 | ~ c_lessequals(X1,c_0,X0)
% 170.39/170.69 | c_uminus(X1,X0) = c_HOL_Oabs(X1,X0) ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20163]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3093,plain,
% 170.39/170.69 ( X0 = c_0 | ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12126_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20159,plain,
% 170.39/170.69 ( X0 = c_0 | ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3093]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20160,plain,
% 170.39/170.69 ( ~ c_less(c_HOL_Oabs(X0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) | X0 = c_0 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20159]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3090,plain,
% 170.39/170.69 ( X0 = c_emptyset
% 170.39/170.69 | c_Finite__Set_Ocard(X0,X1) != c_0
% 170.39/170.69 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12129_2) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20153,plain,
% 170.39/170.69 ( X0 = c_emptyset
% 170.39/170.69 | c_Finite__Set_Ocard(X0,X1) != c_0
% 170.39/170.69 | ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3090]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20154,plain,
% 170.39/170.69 ( ~ c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.39/170.69 | c_Finite__Set_Ocard(X0,X1) != c_0
% 170.39/170.69 | X0 = c_emptyset ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20153]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3086,plain,
% 170.39/170.69 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 170.39/170.69 | c_Parity_Oeven(X1,tc_nat)
% 170.39/170.69 | ~ class_Power_Orecpower(X0)
% 170.39/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12130_3) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20145,plain,
% 170.39/170.69 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 170.39/170.69 | c_Parity_Oeven(X1,tc_nat)
% 170.39/170.69 | ~ class_Power_Orecpower(X0)
% 170.39/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3086]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20146,plain,
% 170.39/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.69 | ~ class_Power_Orecpower(X0)
% 170.39/170.69 | c_Parity_Oeven(X1,tc_nat)
% 170.39/170.69 | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20145]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3080,plain,
% 170.39/170.69 ( c_SetInterval_OatLeastAtMost(X0,X0,X1) = c_insert(X0,c_emptyset,X1)
% 170.39/170.69 | ~ class_Orderings_Oorder(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12132_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20133,plain,
% 170.39/170.69 ( c_SetInterval_OatLeastAtMost(X0,X0,X1) = c_insert(X0,c_emptyset,X1)
% 170.39/170.69 | ~ class_Orderings_Oorder(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3080]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20134,plain,
% 170.39/170.69 ( ~ class_Orderings_Oorder(X0)
% 170.39/170.69 | c_SetInterval_OatLeastAtMost(X1,X1,X0) = c_insert(X1,c_emptyset,X0) ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20133]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3078,plain,
% 170.39/170.69 ( c_times(X0,c_0,X1) = c_times(X2,c_0,X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12133_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20129,plain,
% 170.39/170.69 ( c_times(X0,c_0,X1) = c_times(X2,c_0,X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3078]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20130,plain,
% 170.39/170.69 ( ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.69 | c_times(X1,c_0,X0) = c_times(X2,c_0,X0) ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20129]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3076,plain,
% 170.39/170.69 ( c_times(c_0,X0,X1) = c_times(c_0,X2,X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12134_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20125,plain,
% 170.39/170.69 ( c_times(c_0,X0,X1) = c_times(c_0,X2,X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3076]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20126,plain,
% 170.39/170.69 ( ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.69 | c_times(c_0,X1,X0) = c_times(c_0,X2,X0) ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20125]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3072,plain,
% 170.39/170.69 ( c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.39/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12135_3) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20117,plain,
% 170.39/170.69 ( c_divide(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1)
% 170.39/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3072]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20118,plain,
% 170.39/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.69 | c_divide(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20117]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3068,plain,
% 170.39/170.69 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1
% 170.39/170.69 | ~ c_Parity_Oeven(X1,tc_nat)
% 170.39/170.69 | ~ class_Power_Orecpower(X0)
% 170.39/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12136_3) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20109,plain,
% 170.39/170.69 ( c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1
% 170.39/170.69 | ~ c_Parity_Oeven(X1,tc_nat)
% 170.39/170.69 | ~ class_Power_Orecpower(X0)
% 170.39/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3068]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20110,plain,
% 170.39/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.69 | ~ class_Power_Orecpower(X0)
% 170.39/170.69 | ~ c_Parity_Oeven(X1,tc_nat)
% 170.39/170.69 | c_Nat_Opower(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_1 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20109]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3062,plain,
% 170.39/170.69 ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 170.39/170.69 | X0 = c_List_Olist_ONil ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12142_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20097,plain,
% 170.39/170.69 ( c_List_Olist_OCons(c_List_Ohd(X0,X1),c_List_Otl(X0,X1),X1) = X0
% 170.39/170.69 | X0 = c_List_Olist_ONil ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3062]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3060,plain,
% 170.39/170.69 ( X0 = c_List_Olist_ONil
% 170.39/170.69 | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12143_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20093,plain,
% 170.39/170.69 ( X0 = c_List_Olist_ONil
% 170.39/170.69 | c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3060]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20094,plain,
% 170.39/170.69 ( c_in(c_List_Olast(X0,X1),c_List_Oset(X0,X1),X1)
% 170.39/170.69 | X0 = c_List_Olist_ONil ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20093]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3058,plain,
% 170.39/170.69 ( X0 = c_List_Olist_ONil
% 170.39/170.69 | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12144_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20089,plain,
% 170.39/170.69 ( X0 = c_List_Olist_ONil
% 170.39/170.69 | c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3058]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20090,plain,
% 170.39/170.69 ( c_in(c_List_Ohd(X0,X1),c_List_Oset(X0,X1),X1)
% 170.39/170.69 | X0 = c_List_Olist_ONil ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20089]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3055,plain,
% 170.39/170.69 ( c_OrderedGroup_Opprt(X0,X1) = X0
% 170.39/170.69 | ~ c_lessequals(c_0,X0,X1)
% 170.39/170.69 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12145_2) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20083,plain,
% 170.39/170.69 ( c_OrderedGroup_Opprt(X0,X1) = X0
% 170.39/170.69 | ~ c_lessequals(c_0,X0,X1)
% 170.39/170.69 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3055]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20084,plain,
% 170.39/170.69 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.69 | ~ c_lessequals(c_0,X1,X0)
% 170.39/170.69 | c_OrderedGroup_Opprt(X1,X0) = X1 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20083]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3052,plain,
% 170.39/170.69 ( c_OrderedGroup_Onprt(X0,X1) = X0
% 170.39/170.69 | ~ c_lessequals(X0,c_0,X1)
% 170.39/170.69 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12146_2) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20077,plain,
% 170.39/170.69 ( c_OrderedGroup_Onprt(X0,X1) = X0
% 170.39/170.69 | ~ c_lessequals(X0,c_0,X1)
% 170.39/170.69 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3052]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20078,plain,
% 170.39/170.69 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.69 | ~ c_lessequals(X1,c_0,X0)
% 170.39/170.69 | c_OrderedGroup_Onprt(X1,X0) = X1 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20077]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3049,plain,
% 170.39/170.69 ( c_HOL_Oabs(X0,X1) = X0
% 170.39/170.69 | ~ c_lessequals(c_0,X0,X1)
% 170.39/170.69 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12147_2) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20071,plain,
% 170.39/170.69 ( c_HOL_Oabs(X0,X1) = X0
% 170.39/170.69 | ~ c_lessequals(c_0,X0,X1)
% 170.39/170.69 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3049]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20072,plain,
% 170.39/170.69 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.69 | ~ c_lessequals(c_0,X1,X0)
% 170.39/170.69 | c_HOL_Oabs(X1,X0) = X1 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20071]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3047,plain,
% 170.39/170.69 ( c_plus(c_NatArith_Oof__nat(X0,X1),c_1,X1) = c_NatArith_Oof__nat(c_Suc(X0),X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12148_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20067,plain,
% 170.39/170.69 ( c_plus(c_NatArith_Oof__nat(X0,X1),c_1,X1) = c_NatArith_Oof__nat(c_Suc(X0),X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3047]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20068,plain,
% 170.39/170.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.69 | c_plus(c_NatArith_Oof__nat(X1,X0),c_1,X0) = c_NatArith_Oof__nat(c_Suc(X1),X0) ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20067]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3044,plain,
% 170.39/170.69 ( c_OrderedGroup_Opprt(X0,X1) = c_0
% 170.39/170.69 | ~ c_lessequals(X0,c_0,X1)
% 170.39/170.69 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12149_2) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20061,plain,
% 170.39/170.69 ( c_OrderedGroup_Opprt(X0,X1) = c_0
% 170.39/170.69 | ~ c_lessequals(X0,c_0,X1)
% 170.39/170.69 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3044]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20062,plain,
% 170.39/170.69 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.69 | ~ c_lessequals(X1,c_0,X0)
% 170.39/170.69 | c_OrderedGroup_Opprt(X1,X0) = c_0 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20061]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3041,plain,
% 170.39/170.69 ( c_OrderedGroup_Onprt(X0,X1) = c_0
% 170.39/170.69 | ~ c_lessequals(c_0,X0,X1)
% 170.39/170.69 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12150_2) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20055,plain,
% 170.39/170.69 ( c_OrderedGroup_Onprt(X0,X1) = c_0
% 170.39/170.69 | ~ c_lessequals(c_0,X0,X1)
% 170.39/170.69 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3041]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20056,plain,
% 170.39/170.69 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.69 | ~ c_lessequals(c_0,X1,X0)
% 170.39/170.69 | c_OrderedGroup_Onprt(X1,X0) = c_0 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20055]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3039,plain,
% 170.39/170.69 ( c_Finite__Set_Ocard(c_emptyset,X0) = c_0
% 170.39/170.69 | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12151_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20051,plain,
% 170.39/170.69 ( c_Finite__Set_Ocard(c_emptyset,X0) = c_0
% 170.39/170.69 | ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3039]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20052,plain,
% 170.39/170.69 ( ~ c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0))
% 170.39/170.69 | c_Finite__Set_Ocard(c_emptyset,X0) = c_0 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20051]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3036,plain,
% 170.39/170.69 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_1
% 170.39/170.69 | c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 170.39/170.69 | ~ class_Power_Orecpower(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12152_2) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20045,plain,
% 170.39/170.69 ( c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_1
% 170.39/170.69 | c_Numeral_Onumber__of(X0,tc_nat) != c_0
% 170.39/170.69 | ~ class_Power_Orecpower(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3036]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20046,plain,
% 170.39/170.69 ( ~ class_Power_Orecpower(X0)
% 170.39/170.69 | c_Numeral_Onumber__of(X1,tc_nat) != c_0
% 170.39/170.69 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_1 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20045]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3035,plain,
% 170.39/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.69 | c_divide(X1,X2,X0) != c_0
% 170.39/170.69 | X2 = c_0
% 170.39/170.69 | X1 = c_0 ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12153_0) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20043,plain,
% 170.39/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.69 | c_divide(X1,X2,X0) != c_0
% 170.39/170.69 | X2 = c_0
% 170.39/170.69 | X1 = c_0 ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3035]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3031,plain,
% 170.39/170.69 ( X0 = c_0
% 170.39/170.69 | X1 = c_0
% 170.39/170.69 | c_divide(X0,X1,X2) != c_0
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X2)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12153_4) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20035,plain,
% 170.39/170.69 ( X0 = c_0
% 170.39/170.69 | X1 = c_0
% 170.39/170.69 | c_divide(X0,X1,X2) != c_0
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X2)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3031]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20036,plain,
% 170.39/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.69 | c_divide(X1,X2,X0) != c_0
% 170.39/170.69 | X1 = c_0
% 170.39/170.69 | X2 = c_0 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20035]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3019,plain,
% 170.39/170.69 ( X0 = X1
% 170.39/170.69 | c_divide(X1,X0,X2) != c_1
% 170.39/170.69 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12156_3) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20011,plain,
% 170.39/170.69 ( X0 = X1
% 170.39/170.69 | c_divide(X1,X0,X2) != c_1
% 170.39/170.69 | ~ class_Ring__and__Field_Oordered__field(X2)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3019]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20012,plain,
% 170.39/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.69 | ~ class_Ring__and__Field_Oordered__field(X0)
% 170.39/170.69 | c_divide(X1,X2,X0) != c_1
% 170.39/170.69 | X2 = X1 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20011]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3015,plain,
% 170.39/170.69 ( X0 = X1
% 170.39/170.69 | c_divide(X0,X1,X2) != c_1
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X2)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12157_3) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20003,plain,
% 170.39/170.69 ( X0 = X1
% 170.39/170.69 | c_divide(X0,X1,X2) != c_1
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X2)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3015]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_20004,plain,
% 170.39/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.69 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.69 | c_divide(X1,X2,X0) != c_1
% 170.39/170.69 | X1 = X2 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_20003]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3009,plain,
% 170.39/170.69 ( c_Union(X0,X1) = c_emptyset
% 170.39/170.69 | c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1)) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12162_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19991,plain,
% 170.39/170.69 ( c_Union(X0,X1) = c_emptyset
% 170.39/170.69 | c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1)) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3009]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19992,plain,
% 170.39/170.69 ( c_in(c_Main_Oempty__Union__conv__1(X0,X1),X0,tc_set(X1))
% 170.39/170.69 | c_Union(X0,X1) = c_emptyset ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_19991]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3007,plain,
% 170.39/170.69 ( c_Union(X0,X1) = c_emptyset
% 170.39/170.69 | c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1)) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12163_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19987,plain,
% 170.39/170.69 ( c_Union(X0,X1) = c_emptyset
% 170.39/170.69 | c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1)) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3007]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19988,plain,
% 170.39/170.69 ( c_in(c_Main_OUnion__empty__conv__1(X0,X1),X0,tc_set(X1))
% 170.39/170.69 | c_Union(X0,X1) = c_emptyset ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_19987]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3005,plain,
% 170.39/170.69 ( c_Inter(X0,X1) = c_UNIV
% 170.39/170.69 | c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1)) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12164_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19983,plain,
% 170.39/170.69 ( c_Inter(X0,X1) = c_UNIV
% 170.39/170.69 | c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1)) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3005]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19984,plain,
% 170.39/170.69 ( c_in(c_Main_OInter__UNIV__conv__2__1(X0,X1),X0,tc_set(X1))
% 170.39/170.69 | c_Inter(X0,X1) = c_UNIV ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_19983]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3003,plain,
% 170.39/170.69 ( c_Inter(X0,X1) = c_UNIV
% 170.39/170.69 | c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1)) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12165_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19979,plain,
% 170.39/170.69 ( c_Inter(X0,X1) = c_UNIV
% 170.39/170.69 | c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1)) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3003]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19980,plain,
% 170.39/170.69 ( c_in(c_Main_OInter__UNIV__conv__1__1(X0,X1),X0,tc_set(X1))
% 170.39/170.69 | c_Inter(X0,X1) = c_UNIV ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_19979]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_3001,plain,
% 170.39/170.69 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.69 | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12166_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19975,plain,
% 170.39/170.69 ( c_lessequals(c_0,c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.69 | c_IntDef_Oint(X1) != c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_3001]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_2998,plain,
% 170.39/170.69 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 170.39/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12167_2) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19969,plain,
% 170.39/170.69 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 170.39/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_2998]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19970,plain,
% 170.39/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.69 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.69 | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_19969]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_2982,plain,
% 170.39/170.69 ( X0 = c_0
% 170.39/170.69 | c_divide(c_1,X0,X1) != c_0
% 170.39/170.69 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12171_3) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19937,plain,
% 170.39/170.69 ( X0 = c_0
% 170.39/170.69 | c_divide(c_1,X0,X1) != c_0
% 170.39/170.69 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_2982]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19938,plain,
% 170.39/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.69 | ~ class_Ring__and__Field_Oordered__field(X0)
% 170.39/170.69 | c_divide(c_1,X1,X0) != c_0
% 170.39/170.69 | X1 = c_0 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_19937]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_2980,plain,
% 170.39/170.69 ( c_times(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 170.39/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12172_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19933,plain,
% 170.39/170.69 ( c_times(X0,c_Numeral_Onumber__of(c_Numeral_OMin,X1),X1) = c_uminus(X0,X1)
% 170.39/170.69 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_2980]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19934,plain,
% 170.39/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.69 | c_times(X1,c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) = c_uminus(X1,X0) ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_19933]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_2978,plain,
% 170.39/170.69 ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0)
% 170.39/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12173_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19929,plain,
% 170.39/170.69 ( c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0)
% 170.39/170.69 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_2978]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19930,plain,
% 170.39/170.69 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.69 | c_times(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X1,X0) = c_uminus(X1,X0) ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_19929]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_2976,plain,
% 170.39/170.69 ( c_List_Oupt(X0,X1) = c_List_Olist_ONil | ~ c_lessequals(X1,X0,tc_nat) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12175_1) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19925,plain,
% 170.39/170.69 ( c_List_Oupt(X0,X1) = c_List_Olist_ONil | ~ c_lessequals(X1,X0,tc_nat) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_2976]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19926,plain,
% 170.39/170.69 ( ~ c_lessequals(X0,X1,tc_nat) | c_List_Oupt(X1,X0) = c_List_Olist_ONil ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_19925]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_2970,plain,
% 170.39/170.69 ( c_divide(X0,c_0,X1) != c_1
% 170.39/170.69 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12177_2) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19913,plain,
% 170.39/170.69 ( c_divide(X0,c_0,X1) != c_1
% 170.39/170.69 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.39/170.69 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_2970]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19914,plain,
% 170.39/170.69 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.69 | ~ class_Ring__and__Field_Oordered__field(X0)
% 170.39/170.69 | c_divide(X1,c_0,X0) != c_1 ),
% 170.39/170.69 inference(rewriting,[status(thm)],[c_19913]) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_2962,plain,
% 170.39/170.69 ( X0 = c_1
% 170.39/170.69 | X1 = c_0
% 170.39/170.69 | c_times(X0,X1,X2) != X1
% 170.39/170.69 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 170.39/170.69 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12179_3) ).
% 170.39/170.69
% 170.39/170.69 cnf(c_19897,plain,
% 170.39/170.69 ( X0 = c_1
% 170.39/170.69 | X1 = c_0
% 170.39/170.69 | c_times(X0,X1,X2) != X1
% 170.39/170.69 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 170.39/170.69 inference(copy,[status(esa)],[c_2962]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19898,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.70 | c_times(X1,X2,X0) != X2
% 170.39/170.70 | X1 = c_1
% 170.39/170.70 | X2 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19897]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2954,plain,
% 170.39/170.70 ( X0 = c_1
% 170.39/170.70 | X1 = c_0
% 170.39/170.70 | c_times(X1,X0,X2) != X1
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12181_3) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19881,plain,
% 170.39/170.70 ( X0 = c_1
% 170.39/170.70 | X1 = c_0
% 170.39/170.70 | c_times(X1,X0,X2) != X1
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2954]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19882,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.70 | c_times(X1,X2,X0) != X1
% 170.39/170.70 | X2 = c_1
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19881]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2953,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.39/170.70 | c_times(X1,X2,X0) != c_0
% 170.39/170.70 | X2 = c_0
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12182_0) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19879,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.39/170.70 | c_times(X1,X2,X0) != c_0
% 170.39/170.70 | X2 = c_0
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2953]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2950,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | X1 = c_0
% 170.39/170.70 | c_times(X0,X1,X2) != c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12182_3) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19873,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | X1 = c_0
% 170.39/170.70 | c_times(X0,X1,X2) != c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2950]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19874,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.39/170.70 | c_times(X1,X2,X0) != c_0
% 170.39/170.70 | X1 = c_0
% 170.39/170.70 | X2 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19873]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2947,plain,
% 170.39/170.70 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.39/170.70 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 170.39/170.70 | ~ class_Power_Orecpower(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12183_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19867,plain,
% 170.39/170.70 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.39/170.70 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X0,tc_nat),X1) = c_0
% 170.39/170.70 | ~ class_Power_Orecpower(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2947]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19868,plain,
% 170.39/170.70 ( ~ class_Power_Orecpower(X0)
% 170.39/170.70 | c_Numeral_Onumber__of(X1,tc_nat) = c_0
% 170.39/170.70 | c_Nat_Opower(c_0,c_Numeral_Onumber__of(X1,tc_nat),X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19867]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2944,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_minus(X0,X1,X2) != c_0
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12185_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19861,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_minus(X0,X1,X2) != c_0
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2944]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19862,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.70 | c_minus(X1,X2,X0) != c_0
% 170.39/170.70 | X1 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19861]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2942,plain,
% 170.39/170.70 ( X0 = c_emptyset | ~ c_lessequals(X0,c_emptyset,tc_set(X1)) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12186_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19857,plain,
% 170.39/170.70 ( X0 = c_emptyset | ~ c_lessequals(X0,c_emptyset,tc_set(X1)) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2942]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19858,plain,
% 170.39/170.70 ( ~ c_lessequals(X0,c_emptyset,tc_set(X1)) | X0 = c_emptyset ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19857]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2939,plain,
% 170.39/170.70 ( c_HOL_Oinverse(c_uminus(X0,X1),X1) = c_uminus(c_HOL_Oinverse(X0,X1),X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12189_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19851,plain,
% 170.39/170.70 ( c_HOL_Oinverse(c_uminus(X0,X1),X1) = c_uminus(c_HOL_Oinverse(X0,X1),X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2939]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19852,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | c_HOL_Oinverse(c_uminus(X1,X0),X0) = c_uminus(c_HOL_Oinverse(X1,X0),X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19851]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2936,plain,
% 170.39/170.70 ( c_HOL_Oinverse(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(c_HOL_Oinverse(X0,X1),X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12190_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19845,plain,
% 170.39/170.70 ( c_HOL_Oinverse(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(c_HOL_Oinverse(X0,X1),X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2936]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19846,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__field(X0)
% 170.39/170.70 | c_HOL_Oinverse(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(c_HOL_Oinverse(X1,X0),X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19845]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2933,plain,
% 170.39/170.70 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1)
% 170.39/170.70 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12191_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19839,plain,
% 170.39/170.70 ( c_NatArith_Oof__nat(c_Numeral_Onumber__of(X0,tc_nat),X1) = c_Numeral_Onumber__of(X0,X1)
% 170.39/170.70 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2933]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19840,plain,
% 170.39/170.70 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.70 | c_IntDef_Oneg(c_Numeral_Onumber__of(X1,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | c_NatArith_Oof__nat(c_Numeral_Onumber__of(X1,tc_nat),X0) = c_Numeral_Onumber__of(X1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19839]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2931,plain,
% 170.39/170.70 ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12193_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19835,plain,
% 170.39/170.70 ( ~ c_less(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2931]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19836,plain,
% 170.39/170.70 ( ~ class_Orderings_Oorder(X0) | ~ c_less(X1,X1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19835]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2929,plain,
% 170.39/170.70 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = X0
% 170.39/170.70 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12197_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19831,plain,
% 170.39/170.70 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = X0
% 170.39/170.70 | ~ c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2929]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19832,plain,
% 170.39/170.70 ( ~ c_lessequals(c_0,X0,tc_IntDef_Oint)
% 170.39/170.70 | c_IntDef_Oint(c_IntDef_Onat(X0)) = X0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19831]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2927,plain,
% 170.39/170.70 ( X0 = c_0 | ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12198_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19827,plain,
% 170.39/170.70 ( X0 = c_0 | ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2927]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19828,plain,
% 170.39/170.70 ( ~ c_lessequals(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) | X0 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19827]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2919,plain,
% 170.39/170.70 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12201_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19811,plain,
% 170.39/170.70 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | c_Numeral_Onumber__of(X0,tc_nat) != c_0 ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2919]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2917,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil
% 170.39/170.70 | c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12202_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19807,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil
% 170.39/170.70 | c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2917]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19808,plain,
% 170.39/170.70 ( c_less(c_0,c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat)
% 170.39/170.70 | X0 = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19807]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2915,plain,
% 170.39/170.70 ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 170.39/170.70 | c_List_Oremdups(X0,X1) != X0 ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12204_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19803,plain,
% 170.39/170.70 ( c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)) = c_Nat_Osize(X0,tc_List_Olist(X1))
% 170.39/170.70 | c_List_Oremdups(X0,X1) != X0 ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2915]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2910,plain,
% 170.39/170.70 ( c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
% 170.39/170.70 | X0 = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12206_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19793,plain,
% 170.39/170.70 ( c_times(X0,c_HOL_Oinverse(X0,X1),X1) = c_1
% 170.39/170.70 | X0 = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2910]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19794,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | c_times(X1,c_HOL_Oinverse(X1,X0),X0) = c_1
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19793]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2907,plain,
% 170.39/170.70 ( c_times(c_HOL_Oinverse(X0,X1),X0,X1) = c_1
% 170.39/170.70 | X0 = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12207_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19787,plain,
% 170.39/170.70 ( c_times(c_HOL_Oinverse(X0,X1),X0,X1) = c_1
% 170.39/170.70 | X0 = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2907]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19788,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | c_times(c_HOL_Oinverse(X1,X0),X1,X0) = c_1
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19787]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2904,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil
% 170.39/170.70 | X1 = c_0
% 170.39/170.70 | c_List_Otake(X1,X0,X2) != c_List_Olist_ONil ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12208_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19781,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil
% 170.39/170.70 | X1 = c_0
% 170.39/170.70 | c_List_Otake(X1,X0,X2) != c_List_Olist_ONil ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2904]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19782,plain,
% 170.39/170.70 ( c_List_Otake(X0,X1,X2) != c_List_Olist_ONil
% 170.39/170.70 | X0 = c_0
% 170.39/170.70 | X1 = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19781]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2890,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != X1 ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12215_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19753,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != X1 ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2890]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19754,plain,
% 170.39/170.70 ( c_append(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19753]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2888,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != X1 ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12216_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19749,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != X1 ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2888]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19750,plain,
% 170.39/170.70 ( c_append(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19749]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2886,plain,
% 170.39/170.70 ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12217_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19745,plain,
% 170.39/170.70 ( ~ c_less(c_1,c_0,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2886]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19746,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__semidom(X0) | ~ c_less(c_1,c_0,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19745]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2884,plain,
% 170.39/170.70 ( ~ c_lessequals(c_1,c_0,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12218_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19741,plain,
% 170.39/170.70 ( ~ c_lessequals(c_1,c_0,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2884]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19742,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.70 | ~ c_lessequals(c_1,c_0,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19741]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2881,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12219_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19735,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_less(c_0,c_HOL_Oabs(X0,X1),X1)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2881]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19736,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.70 | c_less(c_0,c_HOL_Oabs(X1,X0),X0)
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19735]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2879,plain,
% 170.39/170.70 ( c_plus(X0,c_uminus(X0,X1),X1) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12220_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19731,plain,
% 170.39/170.70 ( c_plus(X0,c_uminus(X0,X1),X1) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2879]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19732,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.70 | c_plus(X1,c_uminus(X1,X0),X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19731]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2877,plain,
% 170.39/170.70 ( c_plus(c_uminus(X0,X1),X0,X1) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12221_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19727,plain,
% 170.39/170.70 ( c_plus(c_uminus(X0,X1),X0,X1) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2877]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19728,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.70 | c_plus(c_uminus(X1,X0),X1,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19727]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2875,plain,
% 170.39/170.70 ( X0 = c_emptyset | c_union(X1,X0,X2) != c_emptyset ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12222_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19723,plain,
% 170.39/170.70 ( X0 = c_emptyset | c_union(X1,X0,X2) != c_emptyset ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2875]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19724,plain,
% 170.39/170.70 ( c_union(X0,X1,X2) != c_emptyset | X1 = c_emptyset ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19723]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2873,plain,
% 170.39/170.70 ( X0 = c_emptyset | c_union(X0,X1,X2) != c_emptyset ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12223_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19719,plain,
% 170.39/170.70 ( X0 = c_emptyset | c_union(X0,X1,X2) != c_emptyset ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2873]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19720,plain,
% 170.39/170.70 ( c_union(X0,X1,X2) != c_emptyset | X0 = c_emptyset ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19719]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2871,plain,
% 170.39/170.70 ( X0 = c_UNIV | c_inter(X1,X0,X2) != c_UNIV ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12224_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19715,plain,
% 170.39/170.70 ( X0 = c_UNIV | c_inter(X1,X0,X2) != c_UNIV ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2871]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19716,plain,
% 170.39/170.70 ( c_inter(X0,X1,X2) != c_UNIV | X1 = c_UNIV ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19715]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2869,plain,
% 170.39/170.70 ( X0 = c_UNIV | c_inter(X0,X1,X2) != c_UNIV ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12225_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19711,plain,
% 170.39/170.70 ( X0 = c_UNIV | c_inter(X0,X1,X2) != c_UNIV ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2869]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19712,plain,
% 170.39/170.70 ( c_inter(X0,X1,X2) != c_UNIV | X0 = c_UNIV ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19711]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2867,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil
% 170.39/170.70 | c_List_Orotate(X1,X0,X2) != c_List_Olist_ONil ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12226_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19707,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil
% 170.39/170.70 | c_List_Orotate(X1,X0,X2) != c_List_Olist_ONil ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2867]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19708,plain,
% 170.39/170.70 ( c_List_Orotate(X0,X1,X2) != c_List_Olist_ONil
% 170.39/170.70 | X1 = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19707]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2861,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != c_List_Olist_ONil ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12229_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19695,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_append(X1,X0,X2) != c_List_Olist_ONil ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2861]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19696,plain,
% 170.39/170.70 ( c_append(X0,X1,X2) != c_List_Olist_ONil | X1 = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19695]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2859,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != c_List_Olist_ONil ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12230_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19691,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_append(X0,X1,X2) != c_List_Olist_ONil ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2859]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19692,plain,
% 170.39/170.70 ( c_append(X0,X1,X2) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19691]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2855,plain,
% 170.39/170.70 ( X0 = c_emptyset
% 170.39/170.70 | c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12232_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19683,plain,
% 170.39/170.70 ( X0 = c_emptyset
% 170.39/170.70 | c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2855]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19684,plain,
% 170.39/170.70 ( c_Equiv__Relations_Oquotient(X0,X1,X2) != c_emptyset
% 170.39/170.70 | X0 = c_emptyset ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19683]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2854,plain,
% 170.39/170.70 ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12235_0) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19681,plain,
% 170.39/170.70 ( c_times(X0,X1,tc_nat) != c_0 | X1 = c_0 | X0 = c_0 ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2854]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2852,plain,
% 170.39/170.70 ( X0 = c_0 | X1 = c_0 | c_times(X0,X1,tc_nat) != c_0 ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12235_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19677,plain,
% 170.39/170.70 ( X0 = c_0 | X1 = c_0 | c_times(X0,X1,tc_nat) != c_0 ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2852]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19678,plain,
% 170.39/170.70 ( c_times(X0,X1,tc_nat) != c_0 | X0 = c_0 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19677]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2850,plain,
% 170.39/170.70 ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12236_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19673,plain,
% 170.39/170.70 ( c_lessequals(c_0,c_OrderedGroup_Opprt(X0,X1),X1)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2850]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19674,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.70 | c_lessequals(c_0,c_OrderedGroup_Opprt(X1,X0),X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19673]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2848,plain,
% 170.39/170.70 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12237_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19669,plain,
% 170.39/170.70 ( c_lessequals(c_OrderedGroup_Onprt(X0,X1),c_0,X1)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2848]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19670,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.70 | c_lessequals(c_OrderedGroup_Onprt(X1,X0),c_0,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19669]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2846,plain,
% 170.39/170.70 ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12238_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19665,plain,
% 170.39/170.70 ( c_lessequals(c_0,c_HOL_Oabs(X0,X1),X1)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2846]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19666,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.70 | c_lessequals(c_0,c_HOL_Oabs(X1,X0),X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19665]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2844,plain,
% 170.39/170.70 ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12239_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19661,plain,
% 170.39/170.70 ( c_lessequals(c_0,c_NatArith_Oof__nat(X0,X1),X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2844]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19662,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.70 | c_lessequals(c_0,c_NatArith_Oof__nat(X1,X0),X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19661]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2842,plain,
% 170.39/170.70 ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12240_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19657,plain,
% 170.39/170.70 ( c_in(c_NatArith_Oof__nat(X0,X1),c_IntDef_ONats,X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2842]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19658,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.70 | c_in(c_NatArith_Oof__nat(X1,X0),c_IntDef_ONats,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19657]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2840,plain,
% 170.39/170.70 ( c_IntDef_Onat(X0) = c_0 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12246_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19653,plain,
% 170.39/170.70 ( c_IntDef_Onat(X0) = c_0 | ~ c_lessequals(X0,c_0,tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2840]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19654,plain,
% 170.39/170.70 ( ~ c_lessequals(X0,c_0,tc_IntDef_Oint) | c_IntDef_Onat(X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19653]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2838,plain,
% 170.39/170.70 ( X0 = c_0 | c_plus(X1,X0,tc_nat) != c_0 ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12249_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19649,plain,
% 170.39/170.70 ( X0 = c_0 | c_plus(X1,X0,tc_nat) != c_0 ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2838]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19650,plain,
% 170.39/170.70 ( c_plus(X0,X1,tc_nat) != c_0 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19649]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2836,plain,
% 170.39/170.70 ( X0 = c_0 | c_plus(X0,X1,tc_nat) != c_0 ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12250_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19645,plain,
% 170.39/170.70 ( X0 = c_0 | c_plus(X0,X1,tc_nat) != c_0 ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2836]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19646,plain,
% 170.39/170.70 ( c_plus(X0,X1,tc_nat) != c_0 | X0 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19645]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2834,plain,
% 170.39/170.70 ( c_uminus(c_IntDef_Oof__int(X0,X1),X1) = c_IntDef_Oof__int(c_uminus(X0,tc_IntDef_Oint),X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12252_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19641,plain,
% 170.39/170.70 ( c_uminus(c_IntDef_Oof__int(X0,X1),X1) = c_IntDef_Oof__int(c_uminus(X0,tc_IntDef_Oint),X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2834]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19642,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.70 | c_uminus(c_IntDef_Oof__int(X1,X0),X0) = c_IntDef_Oof__int(c_uminus(X1,tc_IntDef_Oint),X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19641]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2832,plain,
% 170.39/170.70 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0
% 170.39/170.70 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12256_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19637,plain,
% 170.39/170.70 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0
% 170.39/170.70 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2832]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19638,plain,
% 170.39/170.70 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19637]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2830,plain,
% 170.39/170.70 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1
% 170.39/170.70 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12257_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19633,plain,
% 170.39/170.70 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1
% 170.39/170.70 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2830]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19634,plain,
% 170.39/170.70 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19633]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2828,plain,
% 170.39/170.70 ( c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12258_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19629,plain,
% 170.39/170.70 ( c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2828]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19630,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.70 | c_LOrder_Omeet(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19629]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2826,plain,
% 170.39/170.70 ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12259_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19625,plain,
% 170.39/170.70 ( c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2826]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19626,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.70 | c_LOrder_Ojoin(c_0,c_uminus(c_0,X0),X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19625]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2824,plain,
% 170.39/170.70 ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12260_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19621,plain,
% 170.39/170.70 ( c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2824]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19622,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.70 | c_lessequals(c_HOL_Oabs(c_0,X0),c_0,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19621]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2822,plain,
% 170.39/170.70 ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12261_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19617,plain,
% 170.39/170.70 ( c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2822]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19618,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.70 | c_lessequals(c_NatArith_Oof__nat(c_0,X0),c_0,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19617]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2820,plain,
% 170.39/170.70 ( X0 = c_0 | ~ c_less(X0,c_1,tc_nat) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12262_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19613,plain,
% 170.39/170.70 ( X0 = c_0 | ~ c_less(X0,c_1,tc_nat) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2820]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19614,plain,
% 170.39/170.70 ( ~ c_less(X0,c_1,tc_nat) | X0 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19613]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2818,plain,
% 170.39/170.70 ( X0 = c_0 | ~ c_lessequals(X0,c_0,tc_nat) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12263_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19609,plain,
% 170.39/170.70 ( X0 = c_0 | ~ c_lessequals(X0,c_0,tc_nat) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2818]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19610,plain,
% 170.39/170.70 ( ~ c_lessequals(X0,c_0,tc_nat) | X0 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19609]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2816,plain,
% 170.39/170.70 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12264_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19605,plain,
% 170.39/170.70 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2816]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19606,plain,
% 170.39/170.70 ( ~ c_Divides_Oop_Advd(c_0,X0,tc_IntDef_Oint) | X0 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19605]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2814,plain,
% 170.39/170.70 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12265_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19601,plain,
% 170.39/170.70 ( X0 = c_0 | ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2814]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19602,plain,
% 170.39/170.70 ( ~ c_Divides_Oop_Advd(c_0,X0,tc_nat) | X0 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19601]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2812,plain,
% 170.39/170.70 ( X0 = c_emptyset | c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12266_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19597,plain,
% 170.39/170.70 ( X0 = c_emptyset | c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2812]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19598,plain,
% 170.39/170.70 ( c_in(c_Main_Oall__not__in__conv__1(X0,X1),X0,X1) | X0 = c_emptyset ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19597]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2810,plain,
% 170.39/170.70 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat)
% 170.39/170.70 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12269_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19593,plain,
% 170.39/170.70 ( c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat)
% 170.39/170.70 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2810]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19594,plain,
% 170.39/170.70 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | c_Suc(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(c_Numeral_Obin__succ(X0),tc_nat) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19593]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2808,plain,
% 170.39/170.70 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12276_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19589,plain,
% 170.39/170.70 ( c_List_Odistinct(X0,X1) | ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2808]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19590,plain,
% 170.39/170.70 ( ~ c_List_Odistinct(c_List_Orev(X0,X1),X1) | c_List_Odistinct(X0,X1) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19589]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2806,plain,
% 170.39/170.70 ( c_List_Odistinct(X0,X1)
% 170.39/170.70 | ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12277_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19585,plain,
% 170.39/170.70 ( c_List_Odistinct(X0,X1)
% 170.39/170.70 | ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2806]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19586,plain,
% 170.39/170.70 ( ~ c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 170.39/170.70 | c_List_Odistinct(X0,X1) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19585]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2801,plain,
% 170.39/170.70 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 170.39/170.70 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12280_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19575,plain,
% 170.39/170.70 ( c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint)
% 170.39/170.70 | c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2801]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19576,plain,
% 170.39/170.70 ( c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | c_IntDef_Oint(c_Numeral_Onumber__of(X0,tc_nat)) = c_Numeral_Onumber__of(X0,tc_IntDef_Oint) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19575]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2799,plain,
% 170.39/170.70 ( c_minus(c_0,X0,X1) = c_uminus(X0,X1)
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12281_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19571,plain,
% 170.39/170.70 ( c_minus(c_0,X0,X1) = c_uminus(X0,X1)
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2799]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19572,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.70 | c_minus(c_0,X1,X0) = c_uminus(X1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19571]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2797,plain,
% 170.39/170.70 ( c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil
% 170.39/170.70 | c_lessequals(X0,X1,tc_nat) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12282_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19567,plain,
% 170.39/170.70 ( c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil
% 170.39/170.70 | c_lessequals(X0,X1,tc_nat) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2797]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19568,plain,
% 170.39/170.70 ( c_lessequals(X0,X1,tc_nat)
% 170.39/170.70 | c_List_Oupt(X0,c_Suc(X1)) = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19567]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2795,plain,
% 170.39/170.70 ( c_Finite__Set_Ocard(X0,X1) = c_0
% 170.39/170.70 | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12283_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19563,plain,
% 170.39/170.70 ( c_Finite__Set_Ocard(X0,X1) = c_0
% 170.39/170.70 | c_in(X0,c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2795]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19564,plain,
% 170.39/170.70 ( c_in(X0,c_Finite__Set_OFinites,tc_set(X1))
% 170.39/170.70 | c_Finite__Set_Ocard(X0,X1) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19563]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2784,plain,
% 170.39/170.70 ( c_divide(X0,X0,X1) = c_1
% 170.39/170.70 | X0 = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12289_3) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19541,plain,
% 170.39/170.70 ( c_divide(X0,X0,X1) = c_1
% 170.39/170.70 | X0 = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__field(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2784]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19542,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__field(X0)
% 170.39/170.70 | c_divide(X1,X1,X0) = c_1
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19541]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2782,plain,
% 170.39/170.70 ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 170.39/170.70 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12292_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19537,plain,
% 170.39/170.70 ( c_Wellfounded__Recursion_Owf(c_List_Olex(X0,X1),tc_List_Olist(X1))
% 170.39/170.70 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2782]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2780,plain,
% 170.39/170.70 ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 170.39/170.70 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12293_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19533,plain,
% 170.39/170.70 ( c_Wellfounded__Recursion_Owf(c_List_Olenlex(X0,X1),tc_List_Olist(X1))
% 170.39/170.70 | ~ c_Wellfounded__Recursion_Owf(X0,X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2780]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2778,plain,
% 170.39/170.70 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.39/170.70 | ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12294_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19529,plain,
% 170.39/170.70 ( c_Parity_Oeven(X0,tc_IntDef_Oint)
% 170.39/170.70 | ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2778]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19530,plain,
% 170.39/170.70 ( ~ c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19529]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2772,plain,
% 170.39/170.70 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.39/170.70 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12297_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19517,plain,
% 170.39/170.70 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.39/170.70 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2772]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19518,plain,
% 170.39/170.70 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19517]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2770,plain,
% 170.39/170.70 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.39/170.70 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12298_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19513,plain,
% 170.39/170.70 ( c_Numeral_Onumber__of(X0,tc_nat) = c_0
% 170.39/170.70 | ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2770]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19514,plain,
% 170.39/170.70 ( ~ c_IntDef_Oneg(c_Numeral_Onumber__of(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | c_Numeral_Onumber__of(X0,tc_nat) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19513]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2767,plain,
% 170.39/170.70 ( c_divide(X0,c_0,X1) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12300_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19507,plain,
% 170.39/170.70 ( c_divide(X0,c_0,X1) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2767]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19508,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | c_divide(X1,c_0,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19507]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2764,plain,
% 170.39/170.70 ( c_divide(c_0,X0,X1) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12301_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19501,plain,
% 170.39/170.70 ( c_divide(c_0,X0,X1) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2764]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19502,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | c_divide(c_0,X1,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19501]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2762,plain,
% 170.39/170.70 ( c_uminus(c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_SetInterval_OatLeast(X0,X1)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12302_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19497,plain,
% 170.39/170.70 ( c_uminus(c_SetInterval_OlessThan(X0,X1),tc_set(X1)) = c_SetInterval_OatLeast(X0,X1)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2762]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19498,plain,
% 170.39/170.70 ( ~ class_Orderings_Olinorder(X0)
% 170.39/170.70 | c_uminus(c_SetInterval_OlessThan(X1,X0),tc_set(X0)) = c_SetInterval_OatLeast(X1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19497]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2760,plain,
% 170.39/170.70 ( c_uminus(c_SetInterval_OgreaterThan(X0,X1),tc_set(X1)) = c_SetInterval_OatMost(X0,X1)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12303_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19493,plain,
% 170.39/170.70 ( c_uminus(c_SetInterval_OgreaterThan(X0,X1),tc_set(X1)) = c_SetInterval_OatMost(X0,X1)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2760]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19494,plain,
% 170.39/170.70 ( ~ class_Orderings_Olinorder(X0)
% 170.39/170.70 | c_uminus(c_SetInterval_OgreaterThan(X1,X0),tc_set(X0)) = c_SetInterval_OatMost(X1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19493]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2758,plain,
% 170.39/170.70 ( c_uminus(c_SetInterval_OatMost(X0,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X0,X1)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12304_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19489,plain,
% 170.39/170.70 ( c_uminus(c_SetInterval_OatMost(X0,X1),tc_set(X1)) = c_SetInterval_OgreaterThan(X0,X1)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2758]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19490,plain,
% 170.39/170.70 ( ~ class_Orderings_Olinorder(X0)
% 170.39/170.70 | c_uminus(c_SetInterval_OatMost(X1,X0),tc_set(X0)) = c_SetInterval_OgreaterThan(X1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19489]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2756,plain,
% 170.39/170.70 ( c_uminus(c_SetInterval_OatLeast(X0,X1),tc_set(X1)) = c_SetInterval_OlessThan(X0,X1)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12305_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19485,plain,
% 170.39/170.70 ( c_uminus(c_SetInterval_OatLeast(X0,X1),tc_set(X1)) = c_SetInterval_OlessThan(X0,X1)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2756]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19486,plain,
% 170.39/170.70 ( ~ class_Orderings_Olinorder(X0)
% 170.39/170.70 | c_uminus(c_SetInterval_OatLeast(X1,X0),tc_set(X0)) = c_SetInterval_OlessThan(X1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19485]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2754,plain,
% 170.39/170.70 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1)
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12306_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19481,plain,
% 170.39/170.70 ( c_uminus(c_Numeral_Onumber__of(X0,X1),X1) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X0),X1)
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2754]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19482,plain,
% 170.39/170.70 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.70 | c_uminus(c_Numeral_Onumber__of(X1,X0),X0) = c_Numeral_Onumber__of(c_Numeral_Obin__minus(X1),X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19481]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2752,plain,
% 170.39/170.70 ( c_Nat_Opower(c_0,c_Suc(X0),X1) = c_0 | ~ class_Power_Orecpower(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12307_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19477,plain,
% 170.39/170.70 ( c_Nat_Opower(c_0,c_Suc(X0),X1) = c_0 | ~ class_Power_Orecpower(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2752]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19478,plain,
% 170.39/170.70 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_0,c_Suc(X1),X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19477]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2746,plain,
% 170.39/170.70 ( c_divide(c_1,c_0,X0) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__field(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12311_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19465,plain,
% 170.39/170.70 ( c_divide(c_1,c_0,X0) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__field(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2746]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19466,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__field(X0)
% 170.39/170.70 | c_divide(c_1,c_0,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19465]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2743,plain,
% 170.39/170.70 ( c_divide(c_0,c_0,X0) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12312_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19459,plain,
% 170.39/170.70 ( c_divide(c_0,c_0,X0) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2743]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19460,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | c_divide(c_0,c_0,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19459]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2741,plain,
% 170.39/170.70 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12313_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19455,plain,
% 170.39/170.70 ( ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0)
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2741]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19456,plain,
% 170.39/170.70 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.70 | ~ c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OMin,X0),X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19455]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2739,plain,
% 170.39/170.70 ( X0 = X1 | c_uminus(X0,tc_set(X2)) != c_uminus(X1,tc_set(X2)) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12314_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19451,plain,
% 170.39/170.70 ( X0 = X1 | c_uminus(X0,tc_set(X2)) != c_uminus(X1,tc_set(X2)) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2739]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19452,plain,
% 170.39/170.70 ( c_uminus(X0,tc_set(X1)) != c_uminus(X2,tc_set(X1)) | X0 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19451]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2737,plain,
% 170.39/170.70 ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12315_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19447,plain,
% 170.39/170.70 ( c_List_Odistinct(c_List_Orev(X0,X1),X1) | ~ c_List_Odistinct(X0,X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2737]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2735,plain,
% 170.39/170.70 ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 170.39/170.70 | ~ c_List_Odistinct(X0,X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12316_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19443,plain,
% 170.39/170.70 ( c_List_Odistinct(c_List_Orotate1(X0,X1),X1)
% 170.39/170.70 | ~ c_List_Odistinct(X0,X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2735]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2733,plain,
% 170.39/170.70 ( c_Orderings_Omax(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12317_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19439,plain,
% 170.39/170.70 ( c_Orderings_Omax(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2733]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19440,plain,
% 170.39/170.70 ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omax(X1,X1,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19439]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2731,plain,
% 170.39/170.70 ( c_Orderings_Omin(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12318_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19435,plain,
% 170.39/170.70 ( c_Orderings_Omin(X0,X0,X1) = X0 | ~ class_Orderings_Olinorder(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2731]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19436,plain,
% 170.39/170.70 ( ~ class_Orderings_Olinorder(X0) | c_Orderings_Omin(X1,X1,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19435]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2729,plain,
% 170.39/170.70 ( c_LOrder_Omeet(X0,X0,X1) = X0 | ~ class_LOrder_Omeet__semilorder(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12319_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19431,plain,
% 170.39/170.70 ( c_LOrder_Omeet(X0,X0,X1) = X0 | ~ class_LOrder_Omeet__semilorder(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2729]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19432,plain,
% 170.39/170.70 ( ~ class_LOrder_Omeet__semilorder(X0) | c_LOrder_Omeet(X1,X1,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19431]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2727,plain,
% 170.39/170.70 ( c_LOrder_Ojoin(X0,X0,X1) = X0 | ~ class_LOrder_Ojoin__semilorder(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12320_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19427,plain,
% 170.39/170.70 ( c_LOrder_Ojoin(X0,X0,X1) = X0 | ~ class_LOrder_Ojoin__semilorder(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2727]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19428,plain,
% 170.39/170.70 ( ~ class_LOrder_Ojoin__semilorder(X0) | c_LOrder_Ojoin(X1,X1,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19427]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2725,plain,
% 170.39/170.70 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0
% 170.39/170.70 | c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12321_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19423,plain,
% 170.39/170.70 ( c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0
% 170.39/170.70 | c_lessequals(c_0,X0,tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2725]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19424,plain,
% 170.39/170.70 ( c_lessequals(c_0,X0,tc_IntDef_Oint)
% 170.39/170.70 | c_IntDef_Oint(c_IntDef_Onat(X0)) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19423]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2723,plain,
% 170.39/170.70 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12322_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19419,plain,
% 170.39/170.70 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2723]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19420,plain,
% 170.39/170.70 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19419]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2721,plain,
% 170.39/170.70 ( c_minus(X0,X0,X1) = c_0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12323_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19415,plain,
% 170.39/170.70 ( c_minus(X0,X0,X1) = c_0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2721]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19416,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,X1,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19415]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2719,plain,
% 170.39/170.70 ( c_times(c_1,X0,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12324_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19411,plain,
% 170.39/170.70 ( c_times(c_1,X0,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2719]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19412,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(c_1,X1,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19411]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2717,plain,
% 170.39/170.70 ( c_times(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12325_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19407,plain,
% 170.39/170.70 ( c_times(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2717]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19408,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0) | c_times(X1,c_1,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19407]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2715,plain,
% 170.39/170.70 ( c_divide(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Ofield(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12326_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19403,plain,
% 170.39/170.70 ( c_divide(X0,c_1,X1) = X0 | ~ class_Ring__and__Field_Ofield(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2715]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19404,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ofield(X0) | c_divide(X1,c_1,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19403]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2713,plain,
% 170.39/170.70 ( c_Nat_Opower(X0,c_1,X1) = X0 | ~ class_Power_Orecpower(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12327_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19399,plain,
% 170.39/170.70 ( c_Nat_Opower(X0,c_1,X1) = X0 | ~ class_Power_Orecpower(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2713]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19400,plain,
% 170.39/170.70 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_1,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19399]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2711,plain,
% 170.39/170.70 ( c_times(X0,c_1,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12328_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19395,plain,
% 170.39/170.70 ( c_times(X0,c_1,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2711]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19396,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(X1,c_1,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19395]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2709,plain,
% 170.39/170.70 ( c_times(c_1,X0,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12329_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19391,plain,
% 170.39/170.70 ( c_times(c_1,X0,X1) = X0 | ~ class_OrderedGroup_Omonoid__mult(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2709]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19392,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Omonoid__mult(X0) | c_times(c_1,X1,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19391]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2707,plain,
% 170.39/170.70 ( c_minus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12330_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19387,plain,
% 170.39/170.70 ( c_minus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2707]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19388,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Oab__group__add(X0) | c_minus(X1,c_0,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19387]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2705,plain,
% 170.39/170.70 ( c_plus(c_0,X0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12331_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19383,plain,
% 170.39/170.70 ( c_plus(c_0,X0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2705]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19384,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(c_0,X1,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19383]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2703,plain,
% 170.39/170.70 ( c_plus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12332_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19379,plain,
% 170.39/170.70 ( c_plus(X0,c_0,X1) = X0 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2703]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19380,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | c_plus(X1,c_0,X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19379]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2701,plain,
% 170.39/170.70 ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12333_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19375,plain,
% 170.39/170.70 ( c_HOL_Oabs(c_uminus(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2701]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19376,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.70 | c_HOL_Oabs(c_uminus(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19375]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2699,plain,
% 170.39/170.70 ( c_HOL_Oabs(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12334_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19371,plain,
% 170.39/170.70 ( c_HOL_Oabs(c_HOL_Oabs(X0,X1),X1) = c_HOL_Oabs(X0,X1)
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2699]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19372,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.70 | c_HOL_Oabs(c_HOL_Oabs(X1,X0),X0) = c_HOL_Oabs(X1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19371]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2695,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_HOL_Oinverse(X0,X2) != c_HOL_Oinverse(X1,X2)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X2)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12338_3) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19363,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_HOL_Oinverse(X0,X2) != c_HOL_Oinverse(X1,X2)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X2)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2695]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19364,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | c_HOL_Oinverse(X1,X0) != c_HOL_Oinverse(X2,X0)
% 170.39/170.70 | X1 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19363]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2693,plain,
% 170.39/170.70 ( c_times(X0,c_0,X1) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12339_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19359,plain,
% 170.39/170.70 ( c_times(X0,c_0,X1) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2693]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19360,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.70 | c_times(X1,c_0,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19359]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2691,plain,
% 170.39/170.70 ( c_times(c_0,X0,X1) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12340_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19355,plain,
% 170.39/170.70 ( c_times(c_0,X0,X1) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Osemiring__0__cancel(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2691]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19356,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.70 | c_times(c_0,X1,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19355]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2689,plain,
% 170.39/170.70 ( c_times(X0,c_0,X1) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12341_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19351,plain,
% 170.39/170.70 ( c_times(X0,c_0,X1) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2689]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19352,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.70 | c_times(X1,c_0,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19351]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2687,plain,
% 170.39/170.70 ( c_times(c_0,X0,X1) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12342_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19347,plain,
% 170.39/170.70 ( c_times(c_0,X0,X1) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2687]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19348,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.70 | c_times(c_0,X1,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19347]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2685,plain,
% 170.39/170.70 ( c_Nat_Opower(X0,c_0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12343_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19343,plain,
% 170.39/170.70 ( c_Nat_Opower(X0,c_0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2685]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19344,plain,
% 170.39/170.70 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(X1,c_0,X0) = c_1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19343]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2683,plain,
% 170.39/170.70 ( c_Nat_Opower(c_1,X0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12344_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19339,plain,
% 170.39/170.70 ( c_Nat_Opower(c_1,X0,X1) = c_1 | ~ class_Power_Orecpower(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2683]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19340,plain,
% 170.39/170.70 ( ~ class_Power_Orecpower(X0) | c_Nat_Opower(c_1,X1,X0) = c_1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19339]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2681,plain,
% 170.39/170.70 ( c_lessequals(c_0,c_1,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12353_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19335,plain,
% 170.39/170.70 ( c_lessequals(c_0,c_1,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2681]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19336,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.70 | c_lessequals(c_0,c_1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19335]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2679,plain,
% 170.39/170.70 ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12354_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19331,plain,
% 170.39/170.70 ( c_less(c_0,c_1,X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2679]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19332,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__semidom(X0) | c_less(c_0,c_1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19331]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2677,plain,
% 170.39/170.70 ( c_in(c_1,c_IntDef_ONats,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12355_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19327,plain,
% 170.39/170.70 ( c_in(c_1,c_IntDef_ONats,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2677]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19328,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.70 | c_in(c_1,c_IntDef_ONats,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19327]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2675,plain,
% 170.39/170.70 ( c_in(c_0,c_IntDef_ONats,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12356_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19323,plain,
% 170.39/170.70 ( c_in(c_0,c_IntDef_ONats,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2675]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19324,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.70 | c_in(c_0,c_IntDef_ONats,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19323]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2673,plain,
% 170.39/170.70 ( c_in(c_1,c_IntDef_OInts,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12357_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19319,plain,
% 170.39/170.70 ( c_in(c_1,c_IntDef_OInts,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2673]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19320,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.70 | c_in(c_1,c_IntDef_OInts,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19319]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2671,plain,
% 170.39/170.70 ( c_in(c_0,c_IntDef_OInts,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12358_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19315,plain,
% 170.39/170.70 ( c_in(c_0,c_IntDef_OInts,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2671]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19316,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.70 | c_in(c_0,c_IntDef_OInts,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19315]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2669,plain,
% 170.39/170.70 ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X0,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X0,X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12359_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19311,plain,
% 170.39/170.70 ( c_IntDef_Oof__int(c_NatArith_Oof__nat(X0,tc_IntDef_Oint),X1) = c_NatArith_Oof__nat(X0,X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2669]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19312,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.70 | c_IntDef_Oof__int(c_NatArith_Oof__nat(X1,tc_IntDef_Oint),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19311]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2667,plain,
% 170.39/170.70 ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12368_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19307,plain,
% 170.39/170.70 ( c_Parity_Oeven(c_uminus(X0,tc_IntDef_Oint),tc_IntDef_Oint)
% 170.39/170.70 | ~ c_Parity_Oeven(X0,tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2667]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2664,plain,
% 170.39/170.70 ( c_HOL_Oinverse(c_HOL_Oinverse(X0,X1),X1) = X0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12371_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19301,plain,
% 170.39/170.70 ( c_HOL_Oinverse(c_HOL_Oinverse(X0,X1),X1) = X0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2664]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19302,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | c_HOL_Oinverse(c_HOL_Oinverse(X1,X0),X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19301]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2662,plain,
% 170.39/170.70 ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12373_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19297,plain,
% 170.39/170.70 ( c_div(X0,X0,tc_IntDef_Oint) = c_1 | X0 = c_0 ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2662]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2660,plain,
% 170.39/170.70 ( X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))
% 170.39/170.70 | c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12375_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19293,plain,
% 170.39/170.70 ( X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint))
% 170.39/170.70 | c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2660]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19294,plain,
% 170.39/170.70 ( c_IntDef_Oint(X0) != c_Numeral_Onumber__of(X1,tc_IntDef_Oint)
% 170.39/170.70 | X0 = c_IntDef_Onat(c_Numeral_Onumber__of(X1,tc_IntDef_Oint)) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19293]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2657,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X1,X2)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12392_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19287,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_SetInterval_OlessThan(X0,X2) != c_SetInterval_OlessThan(X1,X2)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2657]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19288,plain,
% 170.39/170.70 ( ~ class_Orderings_Olinorder(X0)
% 170.39/170.70 | c_SetInterval_OlessThan(X1,X0) != c_SetInterval_OlessThan(X2,X0)
% 170.39/170.70 | X1 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19287]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2654,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X1,X2)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12393_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19281,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_SetInterval_OgreaterThan(X0,X2) != c_SetInterval_OgreaterThan(X1,X2)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2654]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19282,plain,
% 170.39/170.70 ( ~ class_Orderings_Olinorder(X0)
% 170.39/170.70 | c_SetInterval_OgreaterThan(X1,X0) != c_SetInterval_OgreaterThan(X2,X0)
% 170.39/170.70 | X1 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19281]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2651,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X1,X2)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12394_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19275,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_SetInterval_OatMost(X0,X2) != c_SetInterval_OatMost(X1,X2)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2651]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19276,plain,
% 170.39/170.70 ( ~ class_Orderings_Olinorder(X0)
% 170.39/170.70 | c_SetInterval_OatMost(X1,X0) != c_SetInterval_OatMost(X2,X0)
% 170.39/170.70 | X1 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19275]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2648,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X1,X2)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12395_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19269,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_SetInterval_OatLeast(X0,X2) != c_SetInterval_OatLeast(X1,X2)
% 170.39/170.70 | ~ class_Orderings_Olinorder(X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2648]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19270,plain,
% 170.39/170.70 ( ~ class_Orderings_Olinorder(X0)
% 170.39/170.70 | c_SetInterval_OatLeast(X1,X0) != c_SetInterval_OatLeast(X2,X0)
% 170.39/170.70 | X1 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19269]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2645,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_uminus(X0,X2) != c_uminus(X1,X2)
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12396_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19263,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_uminus(X0,X2) != c_uminus(X1,X2)
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2645]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19264,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.70 | c_uminus(X1,X0) != c_uminus(X2,X0)
% 170.39/170.70 | X1 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19263]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2642,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_NatArith_Oof__nat(X0,X2) != c_NatArith_Oof__nat(X1,X2)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12397_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19257,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_NatArith_Oof__nat(X0,X2) != c_NatArith_Oof__nat(X1,X2)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2642]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19258,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.70 | c_NatArith_Oof__nat(X1,X0) != c_NatArith_Oof__nat(X2,X0)
% 170.39/170.70 | X1 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19257]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2639,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_IntDef_Oof__int(X0,X2) != c_IntDef_Oof__int(X1,X2)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12398_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19251,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_IntDef_Oof__int(X0,X2) != c_IntDef_Oof__int(X1,X2)
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2639]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19252,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.70 | c_IntDef_Oof__int(X1,X0) != c_IntDef_Oof__int(X2,X0)
% 170.39/170.70 | X1 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19251]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2637,plain,
% 170.39/170.70 ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12399_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19247,plain,
% 170.39/170.70 ( c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2637]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19248,plain,
% 170.39/170.70 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.70 | c_IntDef_Oof__int(c_Numeral_Onumber__of(c_Numeral_OMin,tc_IntDef_Oint),X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19247]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2635,plain,
% 170.39/170.70 ( X0 = c_0 | c_less(c_0,X0,tc_nat) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12410_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19243,plain,
% 170.39/170.70 ( X0 = c_0 | c_less(c_0,X0,tc_nat) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2635]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19244,plain,
% 170.39/170.70 ( c_less(c_0,X0,tc_nat) | X0 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19243]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2629,plain,
% 170.39/170.70 ( c_uminus(c_uminus(c_1,X0),X0) = c_1
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.70 | ~ class_HOL_Oone(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12460_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19231,plain,
% 170.39/170.70 ( c_uminus(c_uminus(c_1,X0),X0) = c_1
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.70 | ~ class_HOL_Oone(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2629]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19232,plain,
% 170.39/170.70 ( ~ class_HOL_Oone(X0)
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.70 | c_uminus(c_uminus(c_1,X0),X0) = c_1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19231]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2622,plain,
% 170.39/170.70 ( X0 = c_uminus(c_1,X1)
% 170.39/170.70 | c_uminus(X0,X1) != c_1
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1)
% 170.39/170.70 | ~ class_HOL_Oone(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12462_3) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19217,plain,
% 170.39/170.70 ( X0 = c_uminus(c_1,X1)
% 170.39/170.70 | c_uminus(X0,X1) != c_1
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1)
% 170.39/170.70 | ~ class_HOL_Oone(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2622]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19218,plain,
% 170.39/170.70 ( ~ class_HOL_Oone(X0)
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.70 | c_uminus(X1,X0) != c_1
% 170.39/170.70 | X1 = c_uminus(c_1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19217]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2620,plain,
% 170.39/170.70 ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12463_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19213,plain,
% 170.39/170.70 ( ~ c_Parity_Oeven(c_Suc(X0),tc_nat) | ~ c_Parity_Oeven(X0,tc_nat) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2620]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2618,plain,
% 170.39/170.70 ( c_uminus(c_uminus(X0,X1),X1) = X0
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12469_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19209,plain,
% 170.39/170.70 ( c_uminus(c_uminus(X0,X1),X1) = X0
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2618]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19210,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.70 | c_uminus(c_uminus(X1,X0),X0) = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19209]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2616,plain,
% 170.39/170.70 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12470_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19205,plain,
% 170.39/170.70 ( X0 = X1 | c_List_Orev(X0,X2) != c_List_Orev(X1,X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2616]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19206,plain,
% 170.39/170.70 ( c_List_Orev(X0,X1) != c_List_Orev(X2,X1) | X0 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19205]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2614,plain,
% 170.39/170.70 ( X0 = X1 | c_List_Ochar_OChar(X2,X0) != c_List_Ochar_OChar(X3,X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12471_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19201,plain,
% 170.39/170.70 ( X0 = X1 | c_List_Ochar_OChar(X2,X0) != c_List_Ochar_OChar(X3,X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2614]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19202,plain,
% 170.39/170.70 ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X1 = X3 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19201]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2612,plain,
% 170.39/170.70 ( X0 = X1 | c_List_Ochar_OChar(X0,X2) != c_List_Ochar_OChar(X1,X3) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12472_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19197,plain,
% 170.39/170.70 ( X0 = X1 | c_List_Ochar_OChar(X0,X2) != c_List_Ochar_OChar(X1,X3) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2612]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19198,plain,
% 170.39/170.70 ( c_List_Ochar_OChar(X0,X1) != c_List_Ochar_OChar(X2,X3) | X0 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19197]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2610,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_Datatype_Ooption_OSome(X0,X2) != c_Datatype_Ooption_OSome(X1,X2) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12473_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19193,plain,
% 170.39/170.70 ( X0 = X1
% 170.39/170.70 | c_Datatype_Ooption_OSome(X0,X2) != c_Datatype_Ooption_OSome(X1,X2) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2610]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19194,plain,
% 170.39/170.70 ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_OSome(X2,X1)
% 170.39/170.70 | X0 = X2 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19193]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2607,plain,
% 170.39/170.70 ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X0)
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12478_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19187,plain,
% 170.39/170.70 ( class_Finite__Set_Ofinite(tc_sum(X0,X1))
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X0)
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2607]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2604,plain,
% 170.39/170.70 ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X0)
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12479_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19181,plain,
% 170.39/170.70 ( class_Finite__Set_Ofinite(tc_prod(X0,X1))
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X0)
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2604]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2601,plain,
% 170.39/170.70 ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X0)
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12480_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19175,plain,
% 170.39/170.70 ( class_Finite__Set_Ofinite(tc_fun(X0,X1))
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X0)
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2601]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2599,plain,
% 170.39/170.70 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12481_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19171,plain,
% 170.39/170.70 ( c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0)
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2599]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19172,plain,
% 170.39/170.70 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.70 | c_IntDef_Oiszero(c_Numeral_Onumber__of(c_Numeral_OPls,X0),X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19171]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2597,plain,
% 170.39/170.70 ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 170.39/170.70 | X0 = c_Datatype_Ooption_ONone ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12482_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19167,plain,
% 170.39/170.70 ( c_Datatype_Ooption_OSome(c_Main_Onot__Some__eq__1(X0,X1),X1) = X0
% 170.39/170.70 | X0 = c_Datatype_Ooption_ONone ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2597]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2595,plain,
% 170.39/170.70 ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 170.39/170.70 | X0 = c_Datatype_Ooption_ONone ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12483_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19163,plain,
% 170.39/170.70 ( c_Datatype_Ooption_OSome(c_Main_Onot__None__eq__1(X0,X1),X1) = X0
% 170.39/170.70 | X0 = c_Datatype_Ooption_ONone ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2595]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2593,plain,
% 170.39/170.70 ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12484_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19159,plain,
% 170.39/170.70 ( c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2593]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19160,plain,
% 170.39/170.70 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.70 | c_Numeral_Onumber__of(c_Numeral_OBit(c_Numeral_OPls,c_Numeral_Obit_OB1),X0) = c_1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19159]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2591,plain,
% 170.39/170.70 ( c_IntDef_Oof__int(c_IntDef_Oint(X0),X1) = c_NatArith_Oof__nat(X0,X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12485_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19155,plain,
% 170.39/170.70 ( c_IntDef_Oof__int(c_IntDef_Oint(X0),X1) = c_NatArith_Oof__nat(X0,X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__ring__1(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2591]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19156,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.70 | c_IntDef_Oof__int(c_IntDef_Oint(X1),X0) = c_NatArith_Oof__nat(X1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19155]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2587,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_HOL_Oinverse(X0,X1) != c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12497_3) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19147,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_HOL_Oinverse(X0,X1) != c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2587]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19148,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | c_HOL_Oinverse(X1,X0) != c_0
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19147]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2583,plain,
% 170.39/170.70 ( X0 = c_1
% 170.39/170.70 | c_HOL_Oinverse(X0,X1) != c_1
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12498_3) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19139,plain,
% 170.39/170.70 ( X0 = c_1
% 170.39/170.70 | c_HOL_Oinverse(X0,X1) != c_1
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X1)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2583]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19140,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | c_HOL_Oinverse(X1,X0) != c_1
% 170.39/170.70 | X1 = c_1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19139]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2581,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12499_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19135,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint) != c_IntDef_Oint(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2581]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19136,plain,
% 170.39/170.70 ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19135]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2579,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12500_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19131,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2579]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19132,plain,
% 170.39/170.70 ( c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint) != c_IntDef_Oint(X1)
% 170.39/170.70 | X0 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19131]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2577,plain,
% 170.39/170.70 ( c_Union(X0,X1) = c_emptyset
% 170.39/170.70 | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12501_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19127,plain,
% 170.39/170.70 ( c_Union(X0,X1) = c_emptyset
% 170.39/170.70 | c_Main_Oempty__Union__conv__1(X0,X1) != c_emptyset ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2577]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2575,plain,
% 170.39/170.70 ( c_Union(X0,X1) = c_emptyset
% 170.39/170.70 | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12502_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19123,plain,
% 170.39/170.70 ( c_Union(X0,X1) = c_emptyset
% 170.39/170.70 | c_Main_OUnion__empty__conv__1(X0,X1) != c_emptyset ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2575]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2573,plain,
% 170.39/170.70 ( c_Inter(X0,X1) = c_UNIV
% 170.39/170.70 | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12503_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19119,plain,
% 170.39/170.70 ( c_Inter(X0,X1) = c_UNIV
% 170.39/170.70 | c_Main_OInter__UNIV__conv__2__1(X0,X1) != c_UNIV ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2573]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2571,plain,
% 170.39/170.70 ( c_Inter(X0,X1) = c_UNIV
% 170.39/170.70 | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12504_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19115,plain,
% 170.39/170.70 ( c_Inter(X0,X1) = c_UNIV
% 170.39/170.70 | c_Main_OInter__UNIV__conv__1__1(X0,X1) != c_UNIV ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2571]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2569,plain,
% 170.39/170.70 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 170.39/170.70 | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12505_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19111,plain,
% 170.39/170.70 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 170.39/170.70 | c_Main_Oconcat__eq__Nil__conv__1(X0,X1) != c_List_Olist_ONil ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2569]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2567,plain,
% 170.39/170.70 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 170.39/170.70 | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12506_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19107,plain,
% 170.39/170.70 ( c_List_Oconcat(X0,X1) = c_List_Olist_ONil
% 170.39/170.70 | c_Main_ONil__eq__concat__conv__1(X0,X1) != c_List_Olist_ONil ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2567]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2565,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12508_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19103,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2565]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19104,plain,
% 170.39/170.70 ( c_Nat_Osize(X0,tc_List_Olist(X1)) != c_0 | X0 = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19103]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2563,plain,
% 170.39/170.70 ( c_uminus(c_1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12510_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19099,plain,
% 170.39/170.70 ( c_uminus(c_1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0)
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2563]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19100,plain,
% 170.39/170.70 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.70 | c_uminus(c_1,X0) = c_Numeral_Onumber__of(c_Numeral_OMin,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19099]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2561,plain,
% 170.39/170.70 ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12511_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19095,plain,
% 170.39/170.70 ( c_Parity_Oeven(c_Suc(X0),tc_nat) | c_Parity_Oeven(X0,tc_nat) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2561]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2558,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_uminus(X0,X1) != c_0
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12512_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19089,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_uminus(X0,X1) != c_0
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2558]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19090,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.70 | c_uminus(X1,X0) != c_0
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19089]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2555,plain,
% 170.39/170.70 ( c_0 = X0
% 170.39/170.70 | c_uminus(X0,X1) != c_0
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12513_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19083,plain,
% 170.39/170.70 ( c_0 = X0
% 170.39/170.70 | c_uminus(X0,X1) != c_0
% 170.39/170.70 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2555]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19084,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.70 | c_0 = X1
% 170.39/170.70 | c_uminus(X1,X0) != c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19083]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2549,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_HOL_Oabs(X0,X1) != c_0
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12515_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19071,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_HOL_Oabs(X0,X1) != c_0
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2549]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19072,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.70 | c_HOL_Oabs(X1,X0) != c_0
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19071]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2546,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_NatArith_Oof__nat(X0,X1) != c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12516_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19065,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_NatArith_Oof__nat(X0,X1) != c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2546]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19066,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.70 | c_NatArith_Oof__nat(X1,X0) != c_0
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19065]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2543,plain,
% 170.39/170.70 ( c_0 = X0
% 170.39/170.70 | c_NatArith_Oof__nat(X0,X1) != c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12517_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19059,plain,
% 170.39/170.70 ( c_0 = X0
% 170.39/170.70 | c_NatArith_Oof__nat(X0,X1) != c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2543]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19060,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.70 | c_0 = X1
% 170.39/170.70 | c_NatArith_Oof__nat(X1,X0) != c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19059]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2540,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_IntDef_Oof__int(X0,X1) != c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12518_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19053,plain,
% 170.39/170.70 ( X0 = c_0
% 170.39/170.70 | c_IntDef_Oof__int(X0,X1) != c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2540]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19054,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.70 | c_IntDef_Oof__int(X1,X0) != c_0
% 170.39/170.70 | X1 = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19053]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2537,plain,
% 170.39/170.70 ( c_0 = X0
% 170.39/170.70 | c_IntDef_Oof__int(X0,X1) != c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12519_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19047,plain,
% 170.39/170.70 ( c_0 = X0
% 170.39/170.70 | c_IntDef_Oof__int(X0,X1) != c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2537]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19048,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.70 | c_0 = X1
% 170.39/170.70 | c_IntDef_Oof__int(X1,X0) != c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19047]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2535,plain,
% 170.39/170.70 ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12522_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19043,plain,
% 170.39/170.70 ( ~ c_IntDef_Oneg(c_1,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2535]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19044,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19043]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2533,plain,
% 170.39/170.70 ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12523_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19039,plain,
% 170.39/170.70 ( ~ c_IntDef_Oneg(c_0,X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2533]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19040,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0) | ~ c_IntDef_Oneg(c_0,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19039]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2531,plain,
% 170.39/170.70 ( ~ c_IntDef_Oiszero(c_1,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12524_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19035,plain,
% 170.39/170.70 ( ~ c_IntDef_Oiszero(c_1,X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2531]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19036,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.70 | ~ c_IntDef_Oiszero(c_1,X0) ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19035]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2528,plain,
% 170.39/170.70 ( c_HOL_Oinverse(c_0,X0) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12525_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19029,plain,
% 170.39/170.70 ( c_HOL_Oinverse(c_0,X0) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2528]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19030,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | c_HOL_Oinverse(c_0,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19029]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2525,plain,
% 170.39/170.70 ( c_HOL_Oinverse(c_1,X0) = c_1
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12526_2) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19023,plain,
% 170.39/170.70 ( c_HOL_Oinverse(c_1,X0) = c_1
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2525]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19024,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.70 | ~ class_Ring__and__Field_Ofield(X0)
% 170.39/170.70 | c_HOL_Oinverse(c_1,X0) = c_1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19023]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2521,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_List_Oset(X0,X1) != c_emptyset ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12529_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19015,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_List_Oset(X0,X1) != c_emptyset ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2521]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19016,plain,
% 170.39/170.70 ( c_List_Oset(X0,X1) != c_emptyset | X0 = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19015]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2519,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_List_Orotate1(X0,X1) != c_List_Olist_ONil ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12530_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19011,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_List_Orotate1(X0,X1) != c_List_Olist_ONil ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2519]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19012,plain,
% 170.39/170.70 ( c_List_Orotate1(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_19011]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2513,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_List_Oremdups(X0,X1) != c_List_Olist_ONil ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12533_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18999,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_List_Oremdups(X0,X1) != c_List_Olist_ONil ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2513]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_19000,plain,
% 170.39/170.70 ( c_List_Oremdups(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18999]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2511,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_List_Orev(X0,X1) != c_List_Olist_ONil ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12534_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18995,plain,
% 170.39/170.70 ( X0 = c_List_Olist_ONil | c_List_Orev(X0,X1) != c_List_Olist_ONil ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2511]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18996,plain,
% 170.39/170.70 ( c_List_Orev(X0,X1) != c_List_Olist_ONil | X0 = c_List_Olist_ONil ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18995]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2509,plain,
% 170.39/170.70 ( X0 = c_Datatype_Ooption_ONone | c_Datatype_Oo2s(X0,X1) != c_emptyset ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12535_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18991,plain,
% 170.39/170.70 ( X0 = c_Datatype_Ooption_ONone | c_Datatype_Oo2s(X0,X1) != c_emptyset ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2509]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18992,plain,
% 170.39/170.70 ( c_Datatype_Oo2s(X0,X1) != c_emptyset | X0 = c_Datatype_Ooption_ONone ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18991]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2507,plain,
% 170.39/170.70 ( c_HOL_Oabs(c_1,X0) = c_1
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12540_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18987,plain,
% 170.39/170.70 ( c_HOL_Oabs(c_1,X0) = c_1
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2507]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18988,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.70 | c_HOL_Oabs(c_1,X0) = c_1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18987]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2505,plain,
% 170.39/170.70 ( c_OrderedGroup_Opprt(c_0,X0) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12541_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18983,plain,
% 170.39/170.70 ( c_OrderedGroup_Opprt(c_0,X0) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2505]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18984,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.70 | c_OrderedGroup_Opprt(c_0,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18983]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2503,plain,
% 170.39/170.70 ( c_OrderedGroup_Onprt(c_0,X0) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12542_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18979,plain,
% 170.39/170.70 ( c_OrderedGroup_Onprt(c_0,X0) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2503]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18980,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.70 | c_OrderedGroup_Onprt(c_0,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18979]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2499,plain,
% 170.39/170.70 ( c_uminus(c_0,X0) = c_0 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12544_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18971,plain,
% 170.39/170.70 ( c_uminus(c_0,X0) = c_0 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2499]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18972,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Oab__group__add(X0) | c_uminus(c_0,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18971]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2495,plain,
% 170.39/170.70 ( c_HOL_Oabs(c_0,X0) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12546_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18963,plain,
% 170.39/170.70 ( c_HOL_Oabs(c_0,X0) = c_0
% 170.39/170.70 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2495]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18964,plain,
% 170.39/170.70 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.70 | c_HOL_Oabs(c_0,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18963]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2493,plain,
% 170.39/170.70 ( c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12547_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18959,plain,
% 170.39/170.70 ( c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0
% 170.39/170.70 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2493]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18960,plain,
% 170.39/170.70 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.70 | c_Numeral_Onumber__of(c_Numeral_OPls,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18959]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2489,plain,
% 170.39/170.70 ( c_NatArith_Oof__nat(c_1,X0) = c_1
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12549_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18951,plain,
% 170.39/170.70 ( c_NatArith_Oof__nat(c_1,X0) = c_1
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2489]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18952,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.70 | c_NatArith_Oof__nat(c_1,X0) = c_1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18951]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2487,plain,
% 170.39/170.70 ( c_NatArith_Oof__nat(c_0,X0) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12550_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18947,plain,
% 170.39/170.70 ( c_NatArith_Oof__nat(c_0,X0) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2487]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18948,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.70 | c_NatArith_Oof__nat(c_0,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18947]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2483,plain,
% 170.39/170.70 ( c_IntDef_Oof__int(c_1,X0) = c_1
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12552_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18939,plain,
% 170.39/170.70 ( c_IntDef_Oof__int(c_1,X0) = c_1
% 170.39/170.70 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2483]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18940,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.70 | c_IntDef_Oof__int(c_1,X0) = c_1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18939]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2481,plain,
% 170.39/170.70 ( c_IntDef_Oof__int(c_0,X0) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12553_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18935,plain,
% 170.39/170.70 ( c_IntDef_Oof__int(c_0,X0) = c_0
% 170.39/170.70 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2481]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18936,plain,
% 170.39/170.70 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.70 | c_IntDef_Oof__int(c_0,X0) = c_0 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18935]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2479,plain,
% 170.39/170.70 ( class_Finite__Set_Ofinite(tc_set(X0))
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12562_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18931,plain,
% 170.39/170.70 ( class_Finite__Set_Ofinite(tc_set(X0))
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2479]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2477,plain,
% 170.39/170.70 ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12563_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18927,plain,
% 170.39/170.70 ( class_Finite__Set_Ofinite(tc_Datatype_Ooption(X0))
% 170.39/170.70 | ~ class_Finite__Set_Ofinite(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2477]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2475,plain,
% 170.39/170.70 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12567_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18923,plain,
% 170.39/170.70 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2475]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18924,plain,
% 170.39/170.70 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18923]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2473,plain,
% 170.39/170.70 ( X0 = X1 | c_IntDef_Oint(X0) != c_IntDef_Oint(X1) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12568_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18919,plain,
% 170.39/170.70 ( X0 = X1 | c_IntDef_Oint(X0) != c_IntDef_Oint(X1) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2473]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18920,plain,
% 170.39/170.70 ( c_IntDef_Oint(X0) != c_IntDef_Oint(X1) | X0 = X1 ),
% 170.39/170.70 inference(rewriting,[status(thm)],[c_18919]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2471,plain,
% 170.39/170.70 ( class_Orderings_Olinorder(X0)
% 170.39/170.70 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12604_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18915,plain,
% 170.39/170.70 ( class_Orderings_Olinorder(X0)
% 170.39/170.70 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2471]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2469,plain,
% 170.39/170.70 ( class_LOrder_Olorder(X0)
% 170.39/170.70 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12605_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18911,plain,
% 170.39/170.70 ( class_LOrder_Olorder(X0)
% 170.39/170.70 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 170.39/170.70 inference(copy,[status(esa)],[c_2469]) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_2467,plain,
% 170.39/170.70 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.70 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 170.39/170.70 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12606_1) ).
% 170.39/170.70
% 170.39/170.70 cnf(c_18907,plain,
% 170.39/170.70 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.71 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2467]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2465,plain,
% 170.39/170.71 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.71 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12607_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18903,plain,
% 170.39/170.71 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.71 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2465]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2463,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12608_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18899,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2463]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2461,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12609_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18895,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Wellfounded__Recursion_Owellorder(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2461]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2459,plain,
% 170.39/170.71 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12610_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18891,plain,
% 170.39/170.71 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2459]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2457,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12611_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18887,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2457]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2455,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12612_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18883,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2455]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18884,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18883]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2453,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12613_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18879,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2453]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18880,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18879]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2451,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12614_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18875,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2451]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18876,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.71 | class_HOL_Ozero(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18875]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2449,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12615_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18871,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2449]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2447,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12616_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18867,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2447]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2445,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12617_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18863,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2445]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2443,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12618_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18859,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2443]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2441,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12619_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18855,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2441]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2439,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12620_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18851,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2439]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2437,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12621_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18847,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2437]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18848,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.71 | class_HOL_Otimes(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18847]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2435,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12622_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18843,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2435]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18844,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18843]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2433,plain,
% 170.39/170.71 ( class_HOL_Oone(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12623_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18839,plain,
% 170.39/170.71 ( class_HOL_Oone(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2433]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2431,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12624_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18835,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2431]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2429,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12625_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18831,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2429]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2427,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12626_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18827,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2427]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18828,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18827]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2425,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12627_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18823,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2425]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18824,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18823]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2423,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12628_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18819,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2423]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2421,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12629_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18815,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2421]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18816,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Otimes(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18815]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2419,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12630_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18811,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2419]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18812,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18811]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2417,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12631_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18807,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2417]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2415,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12632_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18803,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2415]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2413,plain,
% 170.39/170.71 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12633_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18799,plain,
% 170.39/170.71 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2413]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2411,plain,
% 170.39/170.71 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12634_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18795,plain,
% 170.39/170.71 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2411]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2409,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12635_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18791,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2409]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2407,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12636_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18787,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2407]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18788,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__1(X0) | class_HOL_Ozero(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18787]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2405,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12637_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18783,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2405]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2403,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12638_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18779,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2403]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2401,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12639_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18775,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2401]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18776,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | class_HOL_Ozero(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18775]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2399,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12640_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18771,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2399]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18772,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | class_HOL_Oplus(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18771]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2397,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12641_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18767,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2397]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18768,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18767]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2395,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12642_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18763,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2395]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18764,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18763]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2393,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12643_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18759,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2393]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2391,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12644_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18755,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2391]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18756,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | class_HOL_Otimes(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18755]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2389,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12645_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18751,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2389]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18752,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18751]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2387,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12646_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18747,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2387]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2385,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12647_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18743,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2385]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2383,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12648_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18739,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0__cancel(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2383]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2381,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12649_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18735,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2381]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18736,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Ozero(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18735]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2379,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12650_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18731,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2379]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2377,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12651_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18727,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2377]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18728,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Otimes(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18727]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2375,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12652_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18723,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2375]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18724,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18723]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2373,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12653_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18719,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2373]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18720,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__0(X0) | class_HOL_Oplus(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18719]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2371,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12654_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18715,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2371]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18716,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18715]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2369,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12655_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18711,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2369]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18712,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18711]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2367,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12656_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18707,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2367]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2365,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12657_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18703,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2365]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18704,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Otimes(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18703]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2363,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12658_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18699,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2363]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18700,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18699]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2361,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12659_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18695,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Osemiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2361]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18696,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring(X0) | class_HOL_Oplus(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18695]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2359,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12660_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18691,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2359]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18692,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18691]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2357,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12661_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18687,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2357]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18688,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18687]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2355,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12662_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18683,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2355]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18684,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Otimes(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18683]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2353,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12663_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18679,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2353]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18680,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oring__1(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18679]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2351,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12664_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18675,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2351]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2349,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12665_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18671,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2349]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2347,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12666_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18667,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2347]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2345,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12667_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18663,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2345]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2343,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12668_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18659,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2343]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2341,plain,
% 170.39/170.71 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12669_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18655,plain,
% 170.39/170.71 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2341]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2339,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12670_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18651,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2339]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2337,plain,
% 170.39/170.71 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12671_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18647,plain,
% 170.39/170.71 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2337]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2335,plain,
% 170.39/170.71 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12672_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18643,plain,
% 170.39/170.71 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2335]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2333,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12673_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18639,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2333]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2331,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12674_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18635,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2331]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2329,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12675_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18631,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2329]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18632,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oring__1(X0) | class_HOL_Ozero(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18631]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2327,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12676_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18627,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2327]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2325,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12677_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18623,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2325]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18624,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oring__1(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18623]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2323,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12678_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18619,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2323]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18620,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oring__1(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18619]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2321,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12679_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18615,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2321]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2319,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12680_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18611,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2319]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2317,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12681_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18607,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring__1(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2317]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2315,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12682_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18603,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2315]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18604,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Ozero(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18603]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2313,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12683_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18599,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2313]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2311,plain,
% 170.39/170.71 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12684_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18595,plain,
% 170.39/170.71 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2311]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2309,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12685_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18591,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2309]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2307,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12686_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18587,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2307]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18588,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Otimes(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18587]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2305,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12687_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18583,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2305]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18584,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18583]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2303,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12688_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18579,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2303]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18580,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oring(X0) | class_HOL_Oplus(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18579]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2301,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12689_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18575,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2301]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18576,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18575]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2299,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12690_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18571,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2299]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2297,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12691_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18567,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2297]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2295,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12692_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18563,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2295]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2293,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12693_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18559,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2293]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2291,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12694_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18555,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2291]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18556,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oring(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18555]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2289,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12695_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18551,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2289]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2287,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12696_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18547,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2287]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2285,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12697_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18543,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2285]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2283,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12698_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18539,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2283]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2281,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12699_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18535,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2281]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18536,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18535]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2279,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12700_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18531,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2279]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18532,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18531]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2277,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12701_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18527,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2277]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2275,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12702_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18523,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2275]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2273,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12703_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18519,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2273]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18520,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18519]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2271,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12704_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18515,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2271]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18516,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | class_Orderings_Oord(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18515]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2269,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12705_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18511,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2269]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2267,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12706_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18507,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2267]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2265,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12707_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18503,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2265]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2263,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12708_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18499,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2263]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2261,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12709_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18495,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2261]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18496,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18495]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2259,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12710_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18491,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2259]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2257,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12711_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18487,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2257]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2255,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12712_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18483,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2255]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2253,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12713_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18479,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2253]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2251,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12714_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18475,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2251]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2249,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12715_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18471,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2249]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2247,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12716_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18467,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2247]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2245,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12717_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18463,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2245]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2243,plain,
% 170.39/170.71 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12718_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18459,plain,
% 170.39/170.71 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2243]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2241,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12719_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18455,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2241]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2239,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12720_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18451,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2239]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18452,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 170.39/170.71 | class_Orderings_Oord(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18451]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2237,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12721_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18447,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2237]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2235,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12722_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18443,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2235]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2233,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12723_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18439,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2233]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2231,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12724_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18435,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2231]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2229,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12725_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18431,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2229]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2227,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12726_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18427,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2227]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18428,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18427]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2225,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12727_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18423,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2225]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18424,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18423]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2223,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12728_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18419,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2223]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2221,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12729_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18415,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2221]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2219,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12730_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18411,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2219]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2217,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12731_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18407,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2217]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18408,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18407]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2215,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12732_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18403,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2215]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18404,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18403]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2213,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12733_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18399,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2213]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2211,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12734_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18395,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2211]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2209,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12735_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18391,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2209]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18392,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18391]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2207,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12736_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18387,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2207]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2205,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12737_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18383,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2205]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2203,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12738_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18379,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2203]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18380,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18379]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2201,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12739_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18375,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2201]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2199,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12740_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18371,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2199]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18372,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.71 | class_Orderings_Oord(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18371]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2197,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12741_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18367,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2197]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2195,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12742_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18363,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2195]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2193,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12743_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18359,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2193]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2191,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12744_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18355,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2191]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2189,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12745_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18351,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2189]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2187,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12746_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18347,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2187]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2185,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12747_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18343,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2185]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2183,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12748_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18339,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2183]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2181,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12749_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18335,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2181]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2179,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12750_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18331,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2179]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2177,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12751_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18327,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2177]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2175,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12752_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18323,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2175]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2173,plain,
% 170.39/170.71 ( class_HOL_Ominus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12753_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18319,plain,
% 170.39/170.71 ( class_HOL_Ominus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2173]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2171,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12754_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18315,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2171]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2169,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12755_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18311,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2169]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2167,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12756_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18307,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2167]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2165,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12757_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18303,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2165]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2163,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12758_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18299,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2163]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2161,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12759_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18295,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2161]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2159,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12760_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18291,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2159]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2157,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12761_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18287,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2157]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2155,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12762_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18283,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2155]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2153,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12763_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18279,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2153]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2151,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12764_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18275,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2151]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2149,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12765_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18271,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2149]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2147,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12766_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18267,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2147]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2145,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12767_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18263,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2145]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2143,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12768_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18259,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2143]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2141,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12769_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18255,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2141]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2139,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12770_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18251,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2139]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2137,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12771_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18247,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__comm__ring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2137]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2135,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12772_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18243,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2135]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18244,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18243]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2133,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12773_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18239,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2133]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18240,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18239]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2131,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12774_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18235,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2131]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2129,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12775_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18231,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2129]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2127,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12776_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18227,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2127]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2125,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12777_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18223,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2125]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2123,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12778_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18219,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2123]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18220,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18219]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2121,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12779_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18215,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2121]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2119,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12780_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18211,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2119]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2117,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12781_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18207,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2117]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2115,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12782_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18203,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2115]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2113,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12783_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18199,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2113]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18200,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.71 | class_Orderings_Oord(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18199]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2111,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12784_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18195,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2111]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2109,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12785_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18191,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2109]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2107,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12786_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18187,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2107]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2105,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12787_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18183,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2105]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2103,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12788_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18179,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2103]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2101,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12789_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18175,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2101]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2099,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12790_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18171,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2099]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2097,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12791_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18167,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2097]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18168,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18167]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2095,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12792_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18163,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2095]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2093,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12793_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18159,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2093]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2091,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12794_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18155,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2091]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18156,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18155]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2089,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12795_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18151,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2089]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2087,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12796_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18147,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2087]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2085,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12797_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18143,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2085]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2083,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12798_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18139,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2083]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2081,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12799_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18135,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2081]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2079,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12800_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18131,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2079]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2077,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12801_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18127,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2077]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18128,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.71 | class_Orderings_Oord(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18127]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2075,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12802_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18123,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2075]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2073,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12803_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18119,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2073]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2071,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12804_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18115,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2071]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18116,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18115]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2069,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12805_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18111,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2069]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18112,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18111]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2067,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12806_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18107,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2067]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2065,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12807_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18103,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2065]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2063,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12808_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18099,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Opordered__cancel__comm__semiring(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2063]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2061,plain,
% 170.39/170.71 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12809_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18095,plain,
% 170.39/170.71 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2061]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2059,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12810_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18091,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2059]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2057,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12811_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18087,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2057]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2055,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12812_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18083,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2055]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18084,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18083]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2053,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12813_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18079,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2053]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18080,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18079]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2051,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12814_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18075,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2051]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2049,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12815_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18071,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2049]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2047,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12816_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18067,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2047]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2045,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12817_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18063,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2045]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2043,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12818_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18059,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2043]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2041,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12819_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18055,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2041]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2039,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12820_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18051,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2039]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18052,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18051]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2037,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12821_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18047,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2037]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2035,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12822_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18043,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2035]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18044,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.71 | class_Orderings_Oord(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_18043]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2033,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12823_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18039,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2033]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2031,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12824_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18035,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2031]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2029,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12825_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18031,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2029]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2027,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12826_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18027,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2027]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2025,plain,
% 170.39/170.71 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12827_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18023,plain,
% 170.39/170.71 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2025]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2023,plain,
% 170.39/170.71 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12828_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18019,plain,
% 170.39/170.71 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2023]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2021,plain,
% 170.39/170.71 ( class_LOrder_Olorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12829_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18015,plain,
% 170.39/170.71 ( class_LOrder_Olorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2021]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2019,plain,
% 170.39/170.71 ( class_Orderings_Olinorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12830_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18011,plain,
% 170.39/170.71 ( class_Orderings_Olinorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2019]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2017,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12831_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18007,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2017]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2015,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12832_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_18003,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2015]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2013,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12833_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17999,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2013]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2011,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12834_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17995,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2011]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2009,plain,
% 170.39/170.71 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12835_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17991,plain,
% 170.39/170.71 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2009]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2007,plain,
% 170.39/170.71 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12836_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17987,plain,
% 170.39/170.71 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2007]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2005,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12837_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17983,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2005]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2003,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12838_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17979,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2003]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_2001,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12839_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17975,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_2001]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1999,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12840_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17971,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1999]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1997,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12841_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17967,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1997]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1995,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12842_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17963,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1995]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1993,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12843_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17959,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1993]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1991,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12844_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17955,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1991]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1989,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12845_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17951,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1989]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1987,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12846_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17947,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1987]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1985,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12847_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17943,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1985]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1983,plain,
% 170.39/170.71 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12848_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17939,plain,
% 170.39/170.71 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1983]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1981,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12849_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17935,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1981]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1979,plain,
% 170.39/170.71 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12850_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17931,plain,
% 170.39/170.71 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1979]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1977,plain,
% 170.39/170.71 ( class_LOrder_Olorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12851_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17927,plain,
% 170.39/170.71 ( class_LOrder_Olorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1977]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1975,plain,
% 170.39/170.71 ( class_Orderings_Olinorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12852_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17923,plain,
% 170.39/170.71 ( class_Orderings_Olinorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1975]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1973,plain,
% 170.39/170.71 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12853_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17919,plain,
% 170.39/170.71 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1973]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1971,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12854_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17915,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1971]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1969,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12855_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17911,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1969]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1967,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12856_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17907,plain,
% 170.39/170.71 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1967]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1965,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12857_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17903,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1965]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17904,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_17903]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1963,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12858_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17899,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1963]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1961,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12859_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17895,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1961]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17896,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_17895]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1959,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12860_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17891,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1959]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1957,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12861_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17887,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1957]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1955,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12862_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17883,plain,
% 170.39/170.71 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1955]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1953,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12863_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17879,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1953]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1951,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12864_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17875,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1951]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1949,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12865_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17871,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1949]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17872,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_17871]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1947,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12866_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17867,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1947]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1945,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12867_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17863,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1945]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1943,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12868_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17859,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1943]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1941,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12869_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17855,plain,
% 170.39/170.71 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1941]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17856,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.71 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_17855]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1939,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12870_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17851,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1939]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1937,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12871_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17847,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1937]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1935,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12872_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17843,plain,
% 170.39/170.71 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1935]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1933,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12873_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17839,plain,
% 170.39/170.71 ( class_HOL_Otimes(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1933]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1931,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12874_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17835,plain,
% 170.39/170.71 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1931]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17836,plain,
% 170.39/170.71 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.39/170.71 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.71 inference(rewriting,[status(thm)],[c_17835]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1929,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12875_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17831,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1929]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1927,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12876_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17827,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1927]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1925,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12877_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17823,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1925]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1923,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12878_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17819,plain,
% 170.39/170.71 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1923]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1921,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12879_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17815,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1921]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1919,plain,
% 170.39/170.71 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12880_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17811,plain,
% 170.39/170.71 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1919]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1917,plain,
% 170.39/170.71 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12881_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17807,plain,
% 170.39/170.71 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1917]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1915,plain,
% 170.39/170.71 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12882_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17803,plain,
% 170.39/170.71 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1915]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1913,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__ring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12883_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17799,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__ring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1913]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1911,plain,
% 170.39/170.71 ( class_Ring__and__Field_Olordered__ring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12884_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17795,plain,
% 170.39/170.71 ( class_Ring__and__Field_Olordered__ring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1911]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1909,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12885_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17791,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1909]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1907,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12886_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17787,plain,
% 170.39/170.71 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1907]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1905,plain,
% 170.39/170.71 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12887_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17783,plain,
% 170.39/170.71 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1905]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1903,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12888_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17779,plain,
% 170.39/170.71 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1903]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1901,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12889_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17775,plain,
% 170.39/170.71 ( class_Orderings_Oord(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1901]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1899,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12890_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17771,plain,
% 170.39/170.71 ( class_Orderings_Oorder(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1899]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1897,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12891_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17767,plain,
% 170.39/170.71 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1897]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1895,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12892_1) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_17763,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.71 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.71 inference(copy,[status(esa)],[c_1895]) ).
% 170.39/170.71
% 170.39/170.71 cnf(c_1893,plain,
% 170.39/170.71 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12893_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17759,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1893]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1891,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12894_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17755,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1891]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1889,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12895_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17751,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1889]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1887,plain,
% 170.39/170.72 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12896_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17747,plain,
% 170.39/170.72 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1887]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1885,plain,
% 170.39/170.72 ( class_HOL_Ominus(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12897_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17743,plain,
% 170.39/170.72 ( class_HOL_Ominus(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1885]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1883,plain,
% 170.39/170.72 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12898_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17739,plain,
% 170.39/170.72 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1883]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1881,plain,
% 170.39/170.72 ( class_LOrder_Olorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12899_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17735,plain,
% 170.39/170.72 ( class_LOrder_Olorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1881]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1879,plain,
% 170.39/170.72 ( class_Orderings_Olinorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12900_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17731,plain,
% 170.39/170.72 ( class_Orderings_Olinorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1879]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1877,plain,
% 170.39/170.72 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12901_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17727,plain,
% 170.39/170.72 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1877]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1875,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12902_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17723,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1875]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1873,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12903_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17719,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1873]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1871,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12904_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17715,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1871]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1869,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12905_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17711,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1869]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17712,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17711]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1867,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12906_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17707,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1867]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17708,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.39/170.72 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17707]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1865,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12907_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17703,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1865]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1863,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12908_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17699,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1863]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1861,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12909_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17695,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1861]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1859,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12910_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17691,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1859]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1857,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12911_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17687,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1857]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1855,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12912_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17683,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1855]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1853,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12913_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17679,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1853]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1851,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oidom(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12914_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17675,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oidom(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1851]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1849,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12915_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17671,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1849]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1847,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12916_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17667,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1847]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1845,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12917_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17663,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1845]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1843,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12918_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17659,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1843]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1841,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12919_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17655,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1841]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1839,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12920_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17651,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1839]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1837,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12921_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17647,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1837]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1835,plain,
% 170.39/170.72 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12922_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17643,plain,
% 170.39/170.72 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1835]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1833,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12923_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17639,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1833]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1831,plain,
% 170.39/170.72 ( class_Ring__and__Field_Olordered__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12924_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17635,plain,
% 170.39/170.72 ( class_Ring__and__Field_Olordered__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1831]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1829,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12925_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17631,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1829]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1827,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12926_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17627,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1827]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1825,plain,
% 170.39/170.72 ( class_Orderings_Oord(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12927_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17623,plain,
% 170.39/170.72 ( class_Orderings_Oord(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1825]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1823,plain,
% 170.39/170.72 ( class_Orderings_Oorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12928_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17619,plain,
% 170.39/170.72 ( class_Orderings_Oorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1823]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1821,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12929_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17615,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1821]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1819,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12930_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17611,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1819]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1817,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12931_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17607,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1817]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1815,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12932_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17603,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1815]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1813,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12933_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17599,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1813]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1811,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12934_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17595,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1811]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1809,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12935_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17591,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1809]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1807,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12936_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17587,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1807]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1805,plain,
% 170.39/170.72 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12937_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17583,plain,
% 170.39/170.72 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1805]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1803,plain,
% 170.39/170.72 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12938_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17579,plain,
% 170.39/170.72 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1803]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1801,plain,
% 170.39/170.72 ( class_LOrder_Olorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12939_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17575,plain,
% 170.39/170.72 ( class_LOrder_Olorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1801]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1799,plain,
% 170.39/170.72 ( class_Orderings_Olinorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12940_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17571,plain,
% 170.39/170.72 ( class_Orderings_Olinorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1799]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1797,plain,
% 170.39/170.72 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12941_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17567,plain,
% 170.39/170.72 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1797]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1795,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12942_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17563,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1795]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1793,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12943_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17559,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1793]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1791,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12944_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17555,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1791]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1789,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12945_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17551,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1789]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1787,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12946_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17547,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1787]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17548,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17547]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1785,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12947_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17543,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1785]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1783,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12948_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17539,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1783]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17540,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.72 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17539]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1781,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12949_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17535,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1781]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1779,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12950_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17531,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1779]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1777,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12951_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17527,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1777]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1775,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12952_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17523,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1775]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1773,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12953_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17519,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1773]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17520,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17519]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1771,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12954_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17515,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1771]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1769,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12955_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17511,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1769]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1767,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12956_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17507,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1767]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1765,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12957_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17503,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1765]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1763,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12958_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17499,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1763]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17500,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.72 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17499]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1761,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12959_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17495,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1761]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1759,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12960_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17491,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1759]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1757,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12961_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17487,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1757]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1755,plain,
% 170.39/170.72 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12962_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17483,plain,
% 170.39/170.72 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1755]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1753,plain,
% 170.39/170.72 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12963_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17479,plain,
% 170.39/170.72 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1753]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1751,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12964_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17475,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1751]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1749,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12965_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17471,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1749]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1747,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12966_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17467,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1747]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1745,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12967_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17463,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1745]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1743,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12968_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17459,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1743]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1741,plain,
% 170.39/170.72 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12969_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17455,plain,
% 170.39/170.72 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1741]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1739,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12970_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17451,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1739]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1737,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12971_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17447,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__semidom(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1737]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1735,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12972_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17443,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1735]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1733,plain,
% 170.39/170.72 ( class_Orderings_Oord(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12973_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17439,plain,
% 170.39/170.72 ( class_Orderings_Oord(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1733]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1731,plain,
% 170.39/170.72 ( class_Orderings_Oorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12974_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17435,plain,
% 170.39/170.72 ( class_Orderings_Oorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1731]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1729,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12975_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17431,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1729]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1727,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12976_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17427,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1727]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1725,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12977_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17423,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1725]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1723,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12978_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17419,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1723]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1721,plain,
% 170.39/170.72 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12979_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17415,plain,
% 170.39/170.72 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1721]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1719,plain,
% 170.39/170.72 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12980_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17411,plain,
% 170.39/170.72 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1719]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1717,plain,
% 170.39/170.72 ( class_LOrder_Olorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12981_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17407,plain,
% 170.39/170.72 ( class_LOrder_Olorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1717]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1715,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12982_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17403,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1715]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1713,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12983_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17399,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1713]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1711,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12984_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17395,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1711]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1709,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12985_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17391,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1709]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1707,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12986_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17387,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1707]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1705,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12987_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17383,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1705]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1703,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12988_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17379,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1703]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1701,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12989_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17375,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1701]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1699,plain,
% 170.39/170.72 ( class_Ring__and__Field_Olordered__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12990_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17371,plain,
% 170.39/170.72 ( class_Ring__and__Field_Olordered__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1699]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1697,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12991_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17367,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__abs__if(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1697]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1695,plain,
% 170.39/170.72 ( class_Orderings_Olinorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12992_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17363,plain,
% 170.39/170.72 ( class_Orderings_Olinorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1695]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1693,plain,
% 170.39/170.72 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12993_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17359,plain,
% 170.39/170.72 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1693]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1691,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12994_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17355,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1691]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1689,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12995_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17351,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1689]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1687,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12996_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17347,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__ring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1687]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1685,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12997_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17343,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1685]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1683,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12998_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17339,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1683]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1681,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12999_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17335,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1681]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1679,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13000_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17331,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__idom(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1679]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1677,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13001_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17327,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1677]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1675,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13002_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17323,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1675]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1673,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13003_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17319,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1673]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1671,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13004_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17315,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1671]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1669,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13005_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17311,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1669]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1667,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13006_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17307,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1667]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1665,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13007_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17303,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1665]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1663,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13008_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17299,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1663]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1661,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13009_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17295,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1661]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1659,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13010_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17291,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1659]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1657,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13011_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17287,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1657]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1655,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13012_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17283,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1655]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1653,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13013_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17279,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1653]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1651,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13014_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17275,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1651]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1649,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13015_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17271,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1649]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1647,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oidom(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13016_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17267,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oidom(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1647]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1645,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13017_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17263,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1645]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1643,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13018_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17259,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1643]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1641,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13019_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17255,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1641]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1639,plain,
% 170.39/170.72 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13020_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17251,plain,
% 170.39/170.72 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1639]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1637,plain,
% 170.39/170.72 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13021_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17247,plain,
% 170.39/170.72 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1637]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1635,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13022_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17243,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1635]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1633,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13023_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17239,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1633]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1631,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13024_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17235,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1631]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1629,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13025_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17231,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1629]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1627,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13026_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17227,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1627]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1625,plain,
% 170.39/170.72 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13027_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17223,plain,
% 170.39/170.72 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1625]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1623,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ofield(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13028_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17219,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ofield(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__field(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1623]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1621,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13029_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17215,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1621]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17216,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17215]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1619,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13030_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17211,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1619]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17212,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 170.39/170.72 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17211]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1617,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13031_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17207,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1617]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1615,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13032_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17203,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1615]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1613,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13033_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17199,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1613]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17200,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17199]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1611,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13034_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17195,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1611]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1609,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13035_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17191,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1609]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1607,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13036_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17187,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__comm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1607]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1605,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13037_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17183,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1605]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1603,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13038_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17179,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1603]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1601,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13039_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17175,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1601]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1599,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13040_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17171,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1599]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1597,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13041_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17167,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oordered__semiring__strict(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1597]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1595,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13042_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17163,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1595]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1593,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13043_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17159,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1593]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1591,plain,
% 170.39/170.72 ( class_Orderings_Oord(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13044_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17155,plain,
% 170.39/170.72 ( class_Orderings_Oord(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1591]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17156,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 170.39/170.72 | class_Orderings_Oord(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17155]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1589,plain,
% 170.39/170.72 ( class_Orderings_Oorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13045_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17151,plain,
% 170.39/170.72 ( class_Orderings_Oorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1589]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1587,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13046_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17147,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1587]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17148,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 170.39/170.72 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17147]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1585,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13047_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17143,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1585]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1583,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13048_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17139,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1583]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1581,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13049_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17135,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1581]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1579,plain,
% 170.39/170.72 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13050_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17131,plain,
% 170.39/170.72 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1579]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1577,plain,
% 170.39/170.72 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13051_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17127,plain,
% 170.39/170.72 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1577]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1575,plain,
% 170.39/170.72 ( class_LOrder_Olorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13052_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17123,plain,
% 170.39/170.72 ( class_LOrder_Olorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1575]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1573,plain,
% 170.39/170.72 ( class_Orderings_Olinorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13053_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17119,plain,
% 170.39/170.72 ( class_Orderings_Olinorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1573]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1571,plain,
% 170.39/170.72 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13054_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17115,plain,
% 170.39/170.72 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1571]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1569,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13055_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17111,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1569]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1567,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13056_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17107,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1567]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1565,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13057_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17103,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1565]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1563,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13058_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17099,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1563]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1561,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13059_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17095,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1561]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1559,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13060_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17091,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1559]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1557,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13061_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17087,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1557]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1555,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13062_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17083,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1555]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1553,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13063_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17079,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1553]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1551,plain,
% 170.39/170.72 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13064_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17075,plain,
% 170.39/170.72 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1551]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1549,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13065_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17071,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__join(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1549]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1547,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13066_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17067,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1547]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1545,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13067_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17063,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__meet(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1545]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1543,plain,
% 170.39/170.72 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13068_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17059,plain,
% 170.39/170.72 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1543]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1541,plain,
% 170.39/170.72 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13069_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17055,plain,
% 170.39/170.72 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1541]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1539,plain,
% 170.39/170.72 ( class_LOrder_Olorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13070_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17051,plain,
% 170.39/170.72 ( class_LOrder_Olorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1539]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1537,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13071_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17047,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1537]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1535,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13072_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17043,plain,
% 170.39/170.72 ( class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1535]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1533,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13073_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17039,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1533]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1531,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13074_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17035,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1531]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17036,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17035]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1529,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13075_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17031,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1529]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1527,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13076_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17027,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1527]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17028,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 170.39/170.72 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17027]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1525,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13077_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17023,plain,
% 170.39/170.72 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1525]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1523,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13078_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17019,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1523]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1521,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13079_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17015,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1521]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1519,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13080_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17011,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1519]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1517,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13081_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17007,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1517]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1515,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13082_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17003,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1515]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_17004,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Olordered__ring(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_17003]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1513,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13083_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16999,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1513]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1511,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13084_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16995,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1511]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1509,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13085_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16991,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1509]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1507,plain,
% 170.39/170.72 ( class_Orderings_Oord(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13086_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16987,plain,
% 170.39/170.72 ( class_Orderings_Oord(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1507]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1505,plain,
% 170.39/170.72 ( class_Orderings_Oorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13087_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16983,plain,
% 170.39/170.72 ( class_Orderings_Oorder(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1505]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1503,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13088_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16979,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1503]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1501,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13089_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16975,plain,
% 170.39/170.72 ( class_Ring__and__Field_Opordered__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Olordered__ring(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1501]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1499,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13090_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16971,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1499]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1497,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13091_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16967,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1497]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1495,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13092_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16963,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1495]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1493,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13093_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16959,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1493]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1491,plain,
% 170.39/170.72 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13094_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16955,plain,
% 170.39/170.72 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1491]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1489,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13095_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16951,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1489]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1487,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13096_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16947,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1487]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1485,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13097_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16943,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1485]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1483,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13098_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16939,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1483]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1481,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13099_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16935,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1481]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16936,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oidom(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16935]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1479,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13100_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16931,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1479]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1477,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13101_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16927,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1477]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16928,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oidom(X0)
% 170.39/170.72 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16927]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1475,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13102_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16923,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1475]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1473,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13103_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16919,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1473]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1471,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13104_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16915,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1471]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1469,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13105_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16911,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1469]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1467,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13106_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16907,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1467]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16908,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oidom(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16907]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1465,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13107_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16903,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1465]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1463,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13108_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16899,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1463]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1461,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13109_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16895,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1461]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1459,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13110_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16891,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1459]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1457,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13111_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16887,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1457]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16888,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Oidom(X0)
% 170.39/170.72 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16887]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1455,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13112_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16883,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1455]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1453,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13113_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16879,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1453]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1451,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13114_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16875,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1451]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1449,plain,
% 170.39/170.72 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13115_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16871,plain,
% 170.39/170.72 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1449]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1447,plain,
% 170.39/170.72 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13116_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16867,plain,
% 170.39/170.72 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1447]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1445,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13117_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16863,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1445]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1443,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13118_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16859,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1443]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1441,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13119_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16855,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1441]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1439,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13120_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16851,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Oidom(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1439]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1437,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13121_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16847,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1437]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1435,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13122_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16843,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1435]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1433,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13123_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16839,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1433]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1431,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13124_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16835,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1431]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1429,plain,
% 170.39/170.72 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13125_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16831,plain,
% 170.39/170.72 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1429]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1427,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13126_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16827,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1427]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1425,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13127_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16823,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1425]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1423,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oidom(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13128_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16819,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oidom(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1423]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1421,plain,
% 170.39/170.72 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13129_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16815,plain,
% 170.39/170.72 ( class_HOL_Oinverse(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1421]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1419,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13130_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16811,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1419]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1417,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13131_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16807,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1417]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1415,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13132_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16803,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1415]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1413,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13133_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16799,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1413]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1411,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13134_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16795,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1411]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1409,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13135_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16791,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1409]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1407,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13136_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16787,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1407]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1405,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13137_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16783,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1405]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1403,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13138_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16779,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1403]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1401,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13139_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16775,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1401]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1399,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13140_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16771,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1399]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1397,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13141_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16767,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1397]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1395,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13142_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16763,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1395]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1393,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13143_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16759,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1393]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1391,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13144_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16755,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1391]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1389,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13145_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16751,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1389]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1387,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13146_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16747,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1387]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1385,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13147_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16743,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1385]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1383,plain,
% 170.39/170.72 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13148_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16739,plain,
% 170.39/170.72 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1383]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1381,plain,
% 170.39/170.72 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13149_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16735,plain,
% 170.39/170.72 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1381]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1379,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13150_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16731,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1379]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1377,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13151_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16727,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1377]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1375,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13152_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16723,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1375]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1373,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13153_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16719,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ofield(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1373]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1371,plain,
% 170.39/170.72 ( class_HOL_Oinverse(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13154_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16715,plain,
% 170.39/170.72 ( class_HOL_Oinverse(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1371]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16716,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Odivision__by__zero(X0)
% 170.39/170.72 | class_HOL_Oinverse(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16715]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1369,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13155_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16711,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Odivision__by__zero(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1369]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1367,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13156_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16707,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1367]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1365,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13157_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16703,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1365]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1363,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13158_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16699,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1363]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1361,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13159_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16695,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1361]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1359,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13160_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16691,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1359]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1357,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13161_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16687,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1357]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16688,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16687]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1355,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13162_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16683,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1355]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1353,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13163_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16679,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1353]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1351,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13164_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16675,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1351]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1349,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13165_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16671,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1349]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1347,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13166_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16667,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1347]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1345,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13167_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16663,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1345]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1343,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13168_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16659,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1343]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1341,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13169_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16655,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1341]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16656,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | class_HOL_Otimes(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16655]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1339,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13170_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16651,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1339]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16652,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16651]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1337,plain,
% 170.39/170.72 ( class_HOL_Oone(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13171_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16647,plain,
% 170.39/170.72 ( class_HOL_Oone(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1337]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1335,plain,
% 170.39/170.72 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13172_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16643,plain,
% 170.39/170.72 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1335]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1333,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13173_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16639,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1333]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1331,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13174_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16635,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1331]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16636,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16635]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1329,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13175_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16631,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1329]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16632,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16631]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1327,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13176_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16627,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1327]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16628,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.72 | class_HOL_Ozero(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16627]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1325,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13177_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16623,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1325]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1323,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13178_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16619,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1323]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1321,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13179_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16615,plain,
% 170.39/170.72 ( class_HOL_Otimes(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1321]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16616,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | class_HOL_Otimes(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16615]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1319,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13180_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16611,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1319]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16612,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16611]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1317,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13181_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16607,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1317]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1315,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13182_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16603,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1315]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1313,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13183_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16599,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1313]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16600,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16599]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1311,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13184_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16595,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1311]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1309,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13185_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16591,plain,
% 170.39/170.72 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1309]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1307,plain,
% 170.39/170.72 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13186_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16587,plain,
% 170.39/170.72 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1307]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1305,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13187_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16583,plain,
% 170.39/170.72 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1305]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1303,plain,
% 170.39/170.72 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13188_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16579,plain,
% 170.39/170.72 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1303]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1301,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13189_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16575,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1301]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1299,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13190_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16571,plain,
% 170.39/170.72 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1299]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1297,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13191_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16567,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1297]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16568,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16567]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1295,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13192_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16563,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1295]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16564,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.72 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16563]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1293,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13193_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16559,plain,
% 170.39/170.72 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1293]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1291,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13194_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16555,plain,
% 170.39/170.72 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1291]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16556,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0) | class_HOL_Ozero(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16555]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1289,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13195_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16551,plain,
% 170.39/170.72 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1289]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1287,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13196_1) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16547,plain,
% 170.39/170.72 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.72 inference(copy,[status(esa)],[c_1287]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_16548,plain,
% 170.39/170.72 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.72 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.72 inference(rewriting,[status(thm)],[c_16547]) ).
% 170.39/170.72
% 170.39/170.72 cnf(c_1285,plain,
% 170.39/170.72 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.72 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.72 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13197_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16543,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1285]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16544,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16543]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1283,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13198_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16539,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1283]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1281,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13199_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16535,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1281]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16536,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.73 | class_HOL_Otimes(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16535]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1279,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13200_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16531,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1279]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16532,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16531]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1277,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13201_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16527,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1277]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1275,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13202_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16523,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1275]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1273,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13203_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16519,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1273]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16520,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16519]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1271,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13204_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16515,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1271]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1269,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13205_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16511,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1269]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1267,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13206_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16507,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1267]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1265,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13207_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16503,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1265]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16504,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.73 | class_HOL_Ozero(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16503]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1263,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13208_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16499,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1263]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1261,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13209_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16495,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1261]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1259,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13210_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16491,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0__cancel(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1259]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1257,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13211_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16487,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1257]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16488,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Ozero(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16487]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1255,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13212_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16483,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1255]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1253,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13213_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16479,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1253]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16480,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | class_HOL_Otimes(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16479]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1251,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13214_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16475,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1251]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16476,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16475]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1249,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13215_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16471,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1249]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16472,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0) | class_HOL_Oplus(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16471]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1247,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13216_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16467,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1247]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16468,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16467]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1245,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13217_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16463,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1245]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16464,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16463]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1243,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13218_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16459,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1243]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1241,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13219_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16455,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1241]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1239,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13220_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16451,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1239]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16452,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16451]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1237,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13221_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16447,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring__0(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1237]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1235,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13222_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16443,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1235]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1233,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13223_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16439,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1233]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16440,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Otimes(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16439]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1231,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13224_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16435,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1231]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16436,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16435]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1229,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13225_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16431,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1229]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16432,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16431]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1227,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13226_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16427,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1227]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16428,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring(X0) | class_HOL_Oplus(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16427]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1225,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13227_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16423,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1225]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16424,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16423]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1223,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13228_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16419,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1223]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16420,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16419]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1221,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13229_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16415,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1221]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1219,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13230_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16411,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1219]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1217,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13231_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16407,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1217]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16408,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16407]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1215,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13232_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16403,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1215]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1213,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13233_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16399,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1213]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1211,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13234_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16395,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1211]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1209,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13235_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16391,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1209]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1207,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13236_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16387,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1207]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1205,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13237_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16383,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1205]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1203,plain,
% 170.39/170.73 ( class_Ring__and__Field_Oring__1(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13238_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16379,plain,
% 170.39/170.73 ( class_Ring__and__Field_Oring__1(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1203]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1201,plain,
% 170.39/170.73 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13239_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16375,plain,
% 170.39/170.73 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1201]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1199,plain,
% 170.39/170.73 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13240_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16371,plain,
% 170.39/170.73 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1199]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1197,plain,
% 170.39/170.73 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13241_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16367,plain,
% 170.39/170.73 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1197]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1195,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13242_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16363,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1195]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1193,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13243_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16359,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1193]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1191,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13244_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16355,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1191]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1189,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13245_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16351,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1189]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1187,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13246_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16347,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1187]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1185,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13247_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16343,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1185]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16344,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16343]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1183,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13248_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16339,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1183]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1181,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13249_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16335,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1181]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16336,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16335]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1179,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13250_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16331,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1179]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1177,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13251_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16327,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1177]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16328,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0) | class_HOL_Ozero(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16327]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1175,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13252_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16323,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1175]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1173,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13253_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16319,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1173]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1171,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13254_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16315,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1171]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16316,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16315]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1169,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13255_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16311,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1169]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1167,plain,
% 170.39/170.73 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13256_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16307,plain,
% 170.39/170.73 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1167]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1165,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13257_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16303,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1165]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1163,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13258_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16299,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1163]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16300,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16299]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1161,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13259_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16295,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1161]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16296,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16295]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1159,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13260_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16291,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1159]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1157,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13261_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16287,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1157]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16288,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Otimes(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16287]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1155,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13262_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16283,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1155]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16284,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16283]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1153,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13263_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16279,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1153]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1151,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13264_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16275,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1151]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1149,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13265_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16271,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1149]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16272,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16271]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1147,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13266_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16267,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1147]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1145,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13267_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16263,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1145]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1143,plain,
% 170.39/170.73 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13268_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16259,plain,
% 170.39/170.73 ( class_Ring__and__Field_Oring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1143]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1141,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13269_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16255,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1141]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1139,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13270_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16251,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1139]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1137,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13271_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16247,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1137]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1135,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13272_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16243,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1135]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1133,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13273_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16239,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1133]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16240,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Ocomm__ring(X0) | class_HOL_Ozero(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16239]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1131,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13274_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16235,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1131]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1129,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13275_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16231,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1129]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1127,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13276_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16227,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Ocomm__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1127]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1125,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13277_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16223,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1125]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1123,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13278_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16219,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Oaxclass__no__zero__divisors(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1123]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1121,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13279_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16215,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1121]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1119,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13280_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16211,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1119]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16212,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Oaxclass__abs__if(X0)
% 170.39/170.73 | class_Orderings_Oord(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16211]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1117,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13281_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16207,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0) | ~ class_Ring__and__Field_Oaxclass__abs__if(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1117]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1115,plain,
% 170.39/170.73 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13282_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16203,plain,
% 170.39/170.73 ( class_HOL_Oone(X0) | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1115]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1113,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13283_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16199,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1113]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16200,plain,
% 170.39/170.73 ( ~ class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.73 | class_HOL_Ozero(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16199]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1111,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13284_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16195,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1111]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16196,plain,
% 170.39/170.73 ( ~ class_Power_Orecpower(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16195]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1109,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13285_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16191,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1109]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16192,plain,
% 170.39/170.73 ( ~ class_Power_Orecpower(X0) | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16191]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1107,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13286_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16187,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1107]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1105,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13287_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16183,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1105]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16184,plain,
% 170.39/170.73 ( ~ class_Power_Orecpower(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16183]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1103,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13288_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16179,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1103]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1101,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13289_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16175,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1101]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1099,plain,
% 170.39/170.73 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13290_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16171,plain,
% 170.39/170.73 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1099]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1097,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13291_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16167,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1097]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1095,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13292_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16163,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1095]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1093,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13293_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16159,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1093]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1091,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13294_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16155,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1091]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1089,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13295_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16151,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1089]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1087,plain,
% 170.39/170.73 ( class_HOL_Oone(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13296_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16147,plain,
% 170.39/170.73 ( class_HOL_Oone(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1087]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1085,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13297_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16143,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1085]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1083,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13298_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16139,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1083]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1081,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__1(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13299_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16135,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__1(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1081]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1079,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13300_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16131,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1079]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1077,plain,
% 170.39/170.73 ( class_OrderedGroup_Omonoid__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13301_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16127,plain,
% 170.39/170.73 ( class_OrderedGroup_Omonoid__mult(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1077]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1075,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13302_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16123,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1075]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1073,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13303_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16119,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__0(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1073]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1071,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13304_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16115,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1071]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1069,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13305_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16111,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1069]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1067,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13306_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16107,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1067]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1065,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13307_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16103,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1065]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1063,plain,
% 170.39/170.73 ( class_Nat_Opower(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13308_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16099,plain,
% 170.39/170.73 ( class_Nat_Opower(X0) | ~ class_Power_Orecpower(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1063]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1061,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13309_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16095,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0) | ~ class_Orderings_Oorder(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1061]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16096,plain,
% 170.39/170.73 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oord(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16095]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1059,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13310_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16091,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1059]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1057,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0) | ~ class_Orderings_Olinorder(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13311_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16087,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0) | ~ class_Orderings_Olinorder(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1057]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16088,plain,
% 170.39/170.73 ( ~ class_Orderings_Olinorder(X0) | class_Orderings_Oord(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16087]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1055,plain,
% 170.39/170.73 ( class_LOrder_Omeet__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13312_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16083,plain,
% 170.39/170.73 ( class_LOrder_Omeet__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1055]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1053,plain,
% 170.39/170.73 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13313_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16079,plain,
% 170.39/170.73 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1053]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1051,plain,
% 170.39/170.73 ( class_LOrder_Olorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13314_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16075,plain,
% 170.39/170.73 ( class_LOrder_Olorder(X0) | ~ class_Orderings_Olinorder(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1051]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1049,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13315_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16071,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1049]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1047,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13316_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16067,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1047]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1045,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13317_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16063,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1045]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1043,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13318_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16059,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1043]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1041,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13319_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16055,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1041]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1039,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13320_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16051,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1039]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16052,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16051]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1037,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13321_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16047,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1037]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16048,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16047]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1035,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13322_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16043,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1035]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16044,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | class_Orderings_Oord(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16043]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1033,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13323_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16039,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1033]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1031,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13324_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16035,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1031]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1029,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13325_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16031,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1029]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1027,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13326_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16027,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1027]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16028,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16027]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1025,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13327_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16023,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1025]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1023,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13328_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16019,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1023]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16020,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16019]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1021,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13329_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16015,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1021]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1019,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13330_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16011,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1019]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16012,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | class_Orderings_Oord(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_16011]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1017,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13331_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16007,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1017]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1015,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13332_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_16003,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1015]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1013,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13333_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15999,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1013]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1011,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13334_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15995,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1011]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1009,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13335_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15991,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1009]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15992,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15991]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1007,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13336_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15987,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1007]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15988,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15987]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1005,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13337_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15983,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1005]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15984,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | class_Orderings_Oord(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15983]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1003,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13338_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15979,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1003]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_1001,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13339_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15975,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_1001]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_999,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13340_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15971,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_999]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_997,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13341_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15967,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_997]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15968,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15967]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_995,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13342_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15963,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_995]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_993,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13343_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15959,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_993]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15960,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15959]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_991,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13344_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15955,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_991]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_989,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13345_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15951,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_989]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_987,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13346_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15947,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_987]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_985,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13347_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15943,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_985]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_983,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13348_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15939,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_983]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_981,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13349_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15935,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_981]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15936,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.73 | class_Orderings_Oord(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15935]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_979,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13350_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15931,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_979]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_977,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13351_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15927,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_977]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_975,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13352_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15923,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Opordered__ab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_975]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_973,plain,
% 170.39/170.73 ( class_Orderings_Olinorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13353_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15919,plain,
% 170.39/170.73 ( class_Orderings_Olinorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_973]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_971,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13354_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15915,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_971]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_969,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13355_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15911,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_969]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15912,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15911]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_967,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13356_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15907,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_967]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_965,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13357_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15903,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_965]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15904,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15903]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_963,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13358_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15899,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_963]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_961,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13359_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15895,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_961]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15896,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | class_Orderings_Oord(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15895]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_959,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13360_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15891,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_959]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_957,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13361_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15887,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_957]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_955,plain,
% 170.39/170.73 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13362_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15883,plain,
% 170.39/170.73 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_955]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_953,plain,
% 170.39/170.73 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13363_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15879,plain,
% 170.39/170.73 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_953]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_951,plain,
% 170.39/170.73 ( class_LOrder_Olorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13364_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15875,plain,
% 170.39/170.73 ( class_LOrder_Olorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_951]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_949,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13365_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15871,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_949]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_947,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13366_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15867,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oordered__cancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_947]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_945,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13367_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15863,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_945]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15864,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Omonoid__mult(X0) | class_HOL_Otimes(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15863]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_943,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13368_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15859,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_943]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15860,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15859]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_941,plain,
% 170.39/170.73 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13369_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15855,plain,
% 170.39/170.73 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_941]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_939,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13370_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15851,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_939]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_937,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13371_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15847,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_937]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_935,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13372_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15843,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_935]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_933,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13373_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15839,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_933]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_931,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13374_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15835,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_931]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_929,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13375_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15831,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_929]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_927,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13376_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15827,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_927]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_925,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13377_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15823,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_925]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_923,plain,
% 170.39/170.73 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13378_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15819,plain,
% 170.39/170.73 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_923]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_921,plain,
% 170.39/170.73 ( class_LOrder_Olorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13379_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15815,plain,
% 170.39/170.73 ( class_LOrder_Olorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_921]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_919,plain,
% 170.39/170.73 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13380_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15811,plain,
% 170.39/170.73 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_919]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_917,plain,
% 170.39/170.73 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13381_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15807,plain,
% 170.39/170.73 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_917]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_915,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13382_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15803,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_915]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_913,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13383_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15799,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_913]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15800,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15799]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_911,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13384_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15795,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_911]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_909,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13385_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15791,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_909]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15792,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Olordered__ab__group__meet(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15791]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_907,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13386_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15787,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_907]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_905,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13387_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15783,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_905]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_903,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13388_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15779,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__meet(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_903]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_901,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13389_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15775,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_901]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_899,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13390_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15771,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_899]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_897,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13391_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15767,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_897]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_895,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13392_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15763,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_895]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_893,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13393_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15759,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_893]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_891,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13394_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15755,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_891]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_889,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13395_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15751,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_889]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_887,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13396_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15747,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_887]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_885,plain,
% 170.39/170.73 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13397_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15743,plain,
% 170.39/170.73 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_885]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_883,plain,
% 170.39/170.73 ( class_LOrder_Olorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13398_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15739,plain,
% 170.39/170.73 ( class_LOrder_Olorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_883]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_881,plain,
% 170.39/170.73 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13399_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15735,plain,
% 170.39/170.73 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_881]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_879,plain,
% 170.39/170.73 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13400_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15731,plain,
% 170.39/170.73 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_879]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_877,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13401_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15727,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_877]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_875,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13402_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15723,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_875]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15724,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15723]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_873,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13403_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15719,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_873]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_871,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13404_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15715,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_871]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15716,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Olordered__ab__group__join(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15715]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_869,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13405_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15711,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_869]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_867,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13406_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15707,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_867]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_865,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13407_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15703,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__join(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_865]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_863,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13408_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15699,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_863]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_861,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13409_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15695,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_861]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_859,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13410_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15691,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_859]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_857,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13411_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15687,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_857]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_855,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13412_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15683,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_855]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_853,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13413_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15679,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_853]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_851,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13414_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15675,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_851]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_849,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13415_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15671,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_849]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_847,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13416_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15667,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_847]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_845,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13417_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15663,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_845]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_843,plain,
% 170.39/170.73 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13418_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15659,plain,
% 170.39/170.73 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_843]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_841,plain,
% 170.39/170.73 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13419_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15655,plain,
% 170.39/170.73 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_841]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_839,plain,
% 170.39/170.73 ( class_LOrder_Olorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13420_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15651,plain,
% 170.39/170.73 ( class_LOrder_Olorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_839]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_837,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13421_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15647,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_837]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_835,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13422_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15643,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_835]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15644,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15643]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_833,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13423_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15639,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_833]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_831,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13424_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15635,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_831]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15636,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Olordered__ab__group__abs(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15635]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_829,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13425_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15631,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_829]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_827,plain,
% 170.39/170.73 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13426_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15627,plain,
% 170.39/170.73 ( class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group__abs(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_827]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_825,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13427_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15623,plain,
% 170.39/170.73 ( class_Orderings_Oord(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_825]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15624,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.73 | class_Orderings_Oord(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15623]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_823,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13428_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15619,plain,
% 170.39/170.73 ( class_Orderings_Oorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_823]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_821,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13429_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15615,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_821]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_819,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13430_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15611,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_819]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_817,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13431_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15607,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_817]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_815,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13432_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15603,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_815]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_813,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13433_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15599,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_813]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_811,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13434_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15595,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_811]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_809,plain,
% 170.39/170.73 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13435_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15591,plain,
% 170.39/170.73 ( class_LOrder_Omeet__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_809]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_807,plain,
% 170.39/170.73 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13436_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15587,plain,
% 170.39/170.73 ( class_LOrder_Ojoin__semilorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_807]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_805,plain,
% 170.39/170.73 ( class_LOrder_Olorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13437_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15583,plain,
% 170.39/170.73 ( class_LOrder_Olorder(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_805]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_803,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13438_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15579,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_803]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_801,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13439_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15575,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_801]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15576,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15575]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_799,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13440_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15571,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_799]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_797,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13441_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15567,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_797]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15568,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Olordered__ab__group(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15567]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_795,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13442_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15563,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_795]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_793,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13443_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15559,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_793]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_791,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13444_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15555,plain,
% 170.39/170.73 ( class_OrderedGroup_Opordered__ab__group__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Olordered__ab__group(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_791]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_789,plain,
% 170.39/170.73 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13445_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15551,plain,
% 170.39/170.73 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_789]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_787,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13446_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15547,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_787]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15548,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0) | class_HOL_Otimes(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15547]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_785,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13447_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15543,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_785]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15544,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15543]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_783,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13448_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15539,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_783]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15540,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15539]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_781,plain,
% 170.39/170.73 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13449_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15535,plain,
% 170.39/170.73 ( class_HOL_Oone(X0) | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_781]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_779,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13450_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15531,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_779]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15532,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Oplus(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15531]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_777,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13451_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15527,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_777]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15528,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15527]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_775,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13452_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15523,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_775]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15524,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15523]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_773,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13453_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15519,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_773]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15520,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0) | class_HOL_Ozero(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15519]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_771,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13454_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15515,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_771]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15516,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | class_HOL_Oplus(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15515]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_769,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13455_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15511,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocancel__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_769]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15512,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15511]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_767,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13456_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15507,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_767]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_765,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13457_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15503,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_765]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15504,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | class_HOL_Oplus(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15503]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_763,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13458_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15499,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_763]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15500,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15499]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_761,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13459_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15495,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_761]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15496,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15495]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_759,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13460_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15491,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_759]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_757,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13461_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15487,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_757]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_755,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13462_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15483,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_755]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_753,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13463_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15479,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_753]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_751,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13464_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15475,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_751]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_749,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13465_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15471,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_749]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_747,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13466_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15467,plain,
% 170.39/170.73 ( class_HOL_Oplus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_747]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15468,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Oplus(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15467]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_745,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13467_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15463,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_745]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15464,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15463]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_743,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13468_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15459,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_743]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15460,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15459]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_741,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13469_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15455,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_741]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15456,plain,
% 170.39/170.73 ( ~ class_OrderedGroup_Oab__group__add(X0) | class_HOL_Ozero(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15455]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_739,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13470_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15451,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_739]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_737,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13471_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15447,plain,
% 170.39/170.73 ( class_HOL_Ominus(X0) | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_737]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_735,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13472_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15443,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__add(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_735]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_733,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13473_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15439,plain,
% 170.39/170.73 ( class_HOL_Ozero(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_733]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_731,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13474_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15435,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_731]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_729,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13475_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15431,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_729]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_727,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13476_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15427,plain,
% 170.39/170.73 ( class_OrderedGroup_Oab__semigroup__mult(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_727]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15428,plain,
% 170.39/170.73 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.73 | class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15427]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_725,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13477_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15423,plain,
% 170.39/170.73 ( class_OrderedGroup_Osemigroup__mult(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_725]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15424,plain,
% 170.39/170.73 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.73 | class_OrderedGroup_Osemigroup__mult(X0) ),
% 170.39/170.73 inference(rewriting,[status(thm)],[c_15423]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_723,plain,
% 170.39/170.73 ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13478_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15419,plain,
% 170.39/170.73 ( class_Numeral_Onumber(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_723]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_721,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13479_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15415,plain,
% 170.39/170.73 ( class_HOL_Otimes(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_721]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_719,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13480_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15411,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__ring__1(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_719]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_717,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13481_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15407,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_717]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_715,plain,
% 170.39/170.73 ( class_Ring__and__Field_Oring__1(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13482_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15403,plain,
% 170.39/170.73 ( class_Ring__and__Field_Oring__1(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_715]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_713,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13483_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15399,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__1__cancel(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_713]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_711,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13484_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15395,plain,
% 170.39/170.73 ( class_Ring__and__Field_Ocomm__semiring__1(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_711]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_709,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13485_1) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_15391,plain,
% 170.39/170.73 ( class_Ring__and__Field_Osemiring__1(X0)
% 170.39/170.73 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.73 inference(copy,[status(esa)],[c_709]) ).
% 170.39/170.73
% 170.39/170.73 cnf(c_707,plain,
% 170.39/170.73 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13486_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15387,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocomm__monoid__mult(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_707]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_705,plain,
% 170.39/170.74 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13487_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15383,plain,
% 170.39/170.74 ( class_OrderedGroup_Omonoid__mult(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_705]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_703,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13488_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15379,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oaxclass__0__neq__1(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_703]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_701,plain,
% 170.39/170.74 ( class_HOL_Oone(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13489_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15375,plain,
% 170.39/170.74 ( class_HOL_Oone(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_701]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_699,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13490_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15371,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__semigroup__add(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_699]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15372,plain,
% 170.39/170.74 ( ~ class_Numeral_Onumber__ring(X0)
% 170.39/170.74 | class_OrderedGroup_Oab__semigroup__add(X0) ),
% 170.39/170.74 inference(rewriting,[status(thm)],[c_15371]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_697,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13491_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15367,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__ring(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_697]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_695,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13492_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15363,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_695]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_693,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13493_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15359,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oring(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_693]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_691,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13494_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15355,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__0__cancel(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_691]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_689,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13495_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15351,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__group__add(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_689]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_687,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13496_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15347,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_687]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_685,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13497_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15343,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocancel__semigroup__add(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_685]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_683,plain,
% 170.39/170.74 ( class_HOL_Ominus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13498_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15339,plain,
% 170.39/170.74 ( class_HOL_Ominus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_683]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_681,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13499_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15335,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__0(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_681]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_679,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13500_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15331,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__0(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_679]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_677,plain,
% 170.39/170.74 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13501_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15327,plain,
% 170.39/170.74 ( class_OrderedGroup_Osemigroup__add(X0)
% 170.39/170.74 | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_677]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_675,plain,
% 170.39/170.74 ( class_HOL_Oplus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13502_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15323,plain,
% 170.39/170.74 ( class_HOL_Oplus(X0) | ~ class_Numeral_Onumber__ring(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_675]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_673,plain,
% 170.39/170.74 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13503_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15319,plain,
% 170.39/170.74 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_673]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_671,plain,
% 170.39/170.74 ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13504_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15315,plain,
% 170.39/170.74 ( class_Orderings_Oord(X0) | ~ class_LOrder_Omeet__semilorder(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_671]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15316,plain,
% 170.39/170.74 ( ~ class_LOrder_Omeet__semilorder(X0) | class_Orderings_Oord(X0) ),
% 170.39/170.74 inference(rewriting,[status(thm)],[c_15315]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_669,plain,
% 170.39/170.74 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13505_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15311,plain,
% 170.39/170.74 ( class_LOrder_Ojoin__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_669]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_667,plain,
% 170.39/170.74 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13506_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15307,plain,
% 170.39/170.74 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_667]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_665,plain,
% 170.39/170.74 ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13507_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15303,plain,
% 170.39/170.74 ( class_Orderings_Oord(X0) | ~ class_LOrder_Olorder(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_665]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15304,plain,
% 170.39/170.74 ( ~ class_LOrder_Olorder(X0) | class_Orderings_Oord(X0) ),
% 170.39/170.74 inference(rewriting,[status(thm)],[c_15303]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_663,plain,
% 170.39/170.74 ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13508_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15299,plain,
% 170.39/170.74 ( class_LOrder_Omeet__semilorder(X0) | ~ class_LOrder_Olorder(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_663]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_661,plain,
% 170.39/170.74 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13509_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15295,plain,
% 170.39/170.74 ( class_Orderings_Oorder(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_661]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_659,plain,
% 170.39/170.74 ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13510_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15291,plain,
% 170.39/170.74 ( class_Orderings_Oord(X0) | ~ class_LOrder_Ojoin__semilorder(X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_659]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15292,plain,
% 170.39/170.74 ( ~ class_LOrder_Ojoin__semilorder(X0) | class_Orderings_Oord(X0) ),
% 170.39/170.74 inference(rewriting,[status(thm)],[c_15291]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_657,plain,
% 170.39/170.74 ( X0 = c_0 | c_IntDef_Oint(X0) != c_0 ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13546_1) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15287,plain,
% 170.39/170.74 ( X0 = c_0 | c_IntDef_Oint(X0) != c_0 ),
% 170.39/170.74 inference(copy,[status(esa)],[c_657]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15288,plain,
% 170.39/170.74 ( c_IntDef_Oint(X0) != c_0 | X0 = c_0 ),
% 170.39/170.74 inference(rewriting,[status(thm)],[c_15287]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_652,plain,
% 170.39/170.74 ( ~ 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))) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11095_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15277,plain,
% 170.39/170.74 ( ~ 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))) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_652]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_651,plain,
% 170.39/170.74 ( ~ 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))) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11096_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15275,plain,
% 170.39/170.74 ( ~ 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))) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_651]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_650,plain,
% 170.39/170.74 ( ~ 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))) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11097_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15273,plain,
% 170.39/170.74 ( ~ 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))) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_650]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_649,plain,
% 170.39/170.74 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11252_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15271,plain,
% 170.39/170.74 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_ONumb(X4,X2,X3) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_649]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_648,plain,
% 170.39/170.74 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11253_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15269,plain,
% 170.39/170.74 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OLeaf(X4,X2,X3) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_648]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_647,plain,
% 170.39/170.74 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11254_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15267,plain,
% 170.39/170.74 ( c_Datatype__Universe_OScons(X0,X1,X2,X3) != c_Datatype__Universe_OAtom(X4,X2,X3) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_647]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_646,plain,
% 170.39/170.74 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11255_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15265,plain,
% 170.39/170.74 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_646]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_645,plain,
% 170.39/170.74 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11256_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15263,plain,
% 170.39/170.74 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_645]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_644,plain,
% 170.39/170.74 ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11257_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15261,plain,
% 170.39/170.74 ( c_Datatype__Universe_OAtom(X0,X1,X2) != c_Datatype__Universe_OScons(X3,X4,X1,X2) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_644]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_643,plain,
% 170.39/170.74 ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11641_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15259,plain,
% 170.39/170.74 ( ~ c_less(c_plus(X0,X1,tc_nat),X1,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_643]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_642,plain,
% 170.39/170.74 ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11642_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15257,plain,
% 170.39/170.74 ( ~ c_less(c_plus(X0,X1,tc_nat),X0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_642]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_641,plain,
% 170.39/170.74 ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11840_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15255,plain,
% 170.39/170.74 ( ~ c_List_Onull(c_List_Olist_OCons(X0,X1,X2),X2) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_641]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_640,plain,
% 170.39/170.74 ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11890_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15253,plain,
% 170.39/170.74 ( ~ c_lessequals(c_0,c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_640]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_639,plain,
% 170.39/170.74 ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11921_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15251,plain,
% 170.39/170.74 ( c_Sum__Type_OInr(X0,X1,X2) != c_Sum__Type_OInl(X3,X2,X1) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_639]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_638,plain,
% 170.39/170.74 ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11922_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15249,plain,
% 170.39/170.74 ( c_Sum__Type_OInl(X0,X1,X2) != c_Sum__Type_OInr(X3,X2,X1) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_638]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_637,plain,
% 170.39/170.74 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11923_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15247,plain,
% 170.39/170.74 ( c_Datatype__Universe_ONumb(X0,X1,X2) != c_Datatype__Universe_OLeaf(X3,X1,X2) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_637]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_636,plain,
% 170.39/170.74 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11924_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15245,plain,
% 170.39/170.74 ( c_Datatype__Universe_OLeaf(X0,X1,X2) != c_Datatype__Universe_ONumb(X3,X1,X2) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_636]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_635,plain,
% 170.39/170.74 ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11925_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15243,plain,
% 170.39/170.74 ( c_Datatype__Universe_OIn1(X0,X1,X2) != c_Datatype__Universe_OIn0(X3,X1,X2) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_635]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_634,plain,
% 170.39/170.74 ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11926_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15241,plain,
% 170.39/170.74 ( c_Datatype__Universe_OIn0(X0,X1,X2) != c_Datatype__Universe_OIn1(X3,X1,X2) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_634]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_633,plain,
% 170.39/170.74 ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12031_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15239,plain,
% 170.39/170.74 ( ~ c_less(c_IntDef_Oint(X0),c_uminus(c_IntDef_Oint(X1),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_633]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_632,plain,
% 170.39/170.74 ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12075_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15237,plain,
% 170.39/170.74 ( ~ c_less(c_0,c_Nat_Osize(c_List_Olist_ONil,tc_List_Olist(X0)),tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_632]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_631,plain,
% 170.39/170.74 ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12192_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15235,plain,
% 170.39/170.74 ( ~ c_less(X0,c_emptyset,tc_set(X1)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_631]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_630,plain,
% 170.39/170.74 ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12203_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15233,plain,
% 170.39/170.74 ( ~ c_less(c_IntDef_Oint(X0),c_0,tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_630]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_628,plain,
% 170.39/170.74 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12234_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15229,plain,
% 170.39/170.74 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 170.39/170.74 inference(copy,[status(esa)],[c_628]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_626,plain,
% 170.39/170.74 ( c_insert(X0,X1,X2) != c_emptyset ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12242_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15225,plain,
% 170.39/170.74 ( c_insert(X0,X1,X2) != c_emptyset ),
% 170.39/170.74 inference(copy,[status(esa)],[c_626]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_624,plain,
% 170.39/170.74 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12244_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15221,plain,
% 170.39/170.74 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil ),
% 170.39/170.74 inference(copy,[status(esa)],[c_624]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_623,plain,
% 170.39/170.74 ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12245_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15219,plain,
% 170.39/170.74 ( ~ c_in(c_UNIV,c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_623]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_622,plain,
% 170.39/170.74 ( ~ c_less(X0,X0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12253_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15217,plain,
% 170.39/170.74 ( ~ c_less(X0,X0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_622]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_621,plain,
% 170.39/170.74 ( ~ c_in(X0,c_emptyset,X1) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12254_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15215,plain,
% 170.39/170.74 ( ~ c_in(X0,c_emptyset,X1) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_621]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_620,plain,
% 170.39/170.74 ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12255_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15213,plain,
% 170.39/170.74 ( ~ c_List_Oop_Amem(X0,c_List_Olist_ONil,X1) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_620]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_619,plain,
% 170.39/170.74 ( ~ c_less(X0,c_0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12270_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15211,plain,
% 170.39/170.74 ( ~ c_less(X0,c_0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_619]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_618,plain,
% 170.39/170.74 ( ~ c_less(c_0,c_0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12275_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15209,plain,
% 170.39/170.74 ( ~ c_less(c_0,c_0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_618]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_617,plain,
% 170.39/170.74 ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12521_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15207,plain,
% 170.39/170.74 ( ~ c_IntDef_Oneg(c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_617]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_616,plain,
% 170.39/170.74 ( c_UNITY_OActs(X0,X1) != c_emptyset ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12537_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15205,plain,
% 170.39/170.74 ( c_UNITY_OActs(X0,X1) != c_emptyset ),
% 170.39/170.74 inference(copy,[status(esa)],[c_616]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_614,plain,
% 170.39/170.74 ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12539_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15201,plain,
% 170.39/170.74 ( c_Datatype_Ooption_OSome(X0,X1) != c_Datatype_Ooption_ONone ),
% 170.39/170.74 inference(copy,[status(esa)],[c_614]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_613,plain,
% 170.39/170.74 ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12561_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15199,plain,
% 170.39/170.74 ( ~ c_Parity_Oeven(c_1,tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_613]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_611,plain,
% 170.39/170.74 ( c_Suc(X0) != c_0 ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13550_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15195,plain,
% 170.39/170.74 ( c_Suc(X0) != c_0 ),
% 170.39/170.74 inference(copy,[status(esa)],[c_611]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_610,plain,
% 170.39/170.74 ( c_UNIV != c_emptyset ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13674_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15193,plain,
% 170.39/170.74 ( c_UNIV != c_emptyset ),
% 170.39/170.74 inference(copy,[status(esa)],[c_610]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_608,plain,
% 170.39/170.74 ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13676_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15189,plain,
% 170.39/170.74 ( c_Numeral_Obit_OB0 != c_Numeral_Obit_OB1 ),
% 170.39/170.74 inference(copy,[status(esa)],[c_608]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_607,plain,
% 170.39/170.74 ( c_1 != c_0 ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13677_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15187,plain,( c_1 != c_0 ),inference(copy,[status(esa)],[c_607]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_605,plain,
% 170.39/170.74 ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13679_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15183,plain,
% 170.39/170.74 ( c_Extraction_Osumbool_ORight != c_Extraction_Osumbool_OLeft ),
% 170.39/170.74 inference(copy,[status(esa)],[c_605]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_568,plain,
% 170.39/170.74 ( 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))) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11018_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15145,plain,
% 170.39/170.74 ( 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))) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_568]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_555,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11087_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15131,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X1,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_555]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_554,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11088_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15129,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(c_GCD_Ogcd(c_Pair(X0,X1,tc_nat,tc_nat)),X0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_554]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_550,plain,
% 170.39/170.74 ( 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))) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11114_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15124,plain,
% 170.39/170.74 ( 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))) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_550]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_541,plain,
% 170.39/170.74 ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11174_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15114,plain,
% 170.39/170.74 ( c_in(c_Pair(X0,X0,X1,X1),c_Transitive__Closure_Ortrancl(X2,X1),tc_prod(X1,X1)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_541]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_538,plain,
% 170.39/170.74 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11185_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15110,plain,
% 170.39/170.74 ( c_in(c_Pair(X0,X0,X1,X1),c_Relation_OId,tc_prod(X1,X1)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_538]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_433,plain,
% 170.39/170.74 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11808_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15004,plain,
% 170.39/170.74 ( c_lessequals(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_433]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_432,plain,
% 170.39/170.74 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11817_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15002,plain,
% 170.39/170.74 ( c_less(c_0,c_Nat_Opower(c_HOL_Oabs(X0,tc_IntDef_Oint),c_0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_432]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_428,plain,
% 170.39/170.74 ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11869_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14997,plain,
% 170.39/170.74 ( c_lessequals(c_Nat_Osize(c_List_Oremdups(X0,X1),tc_List_Olist(X1)),c_Nat_Osize(X0,tc_List_Olist(X1)),tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_428]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_411,plain,
% 170.39/170.74 ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11967_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14979,plain,
% 170.39/170.74 ( c_in(X0,c_insert(X0,X1,X2),X2) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_411]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_410,plain,
% 170.39/170.74 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11968_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14977,plain,
% 170.39/170.74 ( c_List_Oop_Amem(X0,c_List_Olist_OCons(X0,X1,X2),X2) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_410]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_408,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11970_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14974,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_408]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_407,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11971_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14972,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OgreaterThanLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_407]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_406,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11972_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14970,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_406]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_405,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11973_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14968,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OgreaterThanAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_405]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_404,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11974_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14966,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_404]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_403,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11975_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14964,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OatLeastLessThan(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_403]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_402,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11976_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14962,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_IntDef_Oint),c_Finite__Set_OFinites,tc_set(tc_IntDef_Oint)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_402]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_401,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11977_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14960,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OatLeastAtMost(X0,X1,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_401]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_400,plain,
% 170.39/170.74 ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11985_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14958,plain,
% 170.39/170.74 ( c_in(X0,c_insert(X0,c_emptyset,X1),X1) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_400]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_399,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11989_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14956,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_399]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_398,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11990_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14954,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_398]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_397,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11991_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14952,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,c_times(X1,X0,tc_nat),tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_397]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_396,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11992_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14950,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,c_times(X0,X1,tc_nat),tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_396]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_395,plain,
% 170.39/170.74 ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_11994_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14948,plain,
% 170.39/170.74 ( c_lessequals(c_minus(X0,X1,tc_nat),X0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_395]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_388,plain,
% 170.39/170.74 ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12001_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14940,plain,
% 170.39/170.74 ( c_lessequals(c_div(X0,X1,tc_nat),X0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_388]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_386,plain,
% 170.39/170.74 ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12019_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14937,plain,
% 170.39/170.74 ( c_less(c_0,c_Nat_Opower(X0,c_0,tc_nat),tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_386]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_378,plain,
% 170.39/170.74 ( c_in(c_Relation_OId,c_UNITY_OAllowedActs(X0,X1),tc_set(tc_prod(X1,X1))) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12066_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14928,plain,
% 170.39/170.74 ( c_in(c_Relation_OId,c_UNITY_OAllowedActs(X0,X1),tc_set(tc_prod(X1,X1))) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_378]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_377,plain,
% 170.39/170.74 ( c_in(c_Relation_OId,c_UNITY_OActs(X0,X1),tc_set(tc_prod(X1,X1))) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12067_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14926,plain,
% 170.39/170.74 ( c_in(c_Relation_OId,c_UNITY_OActs(X0,X1),tc_set(tc_prod(X1,X1))) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_377]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_370,plain,
% 170.39/170.74 ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12093_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14918,plain,
% 170.39/170.74 ( c_in(X0,c_Datatype_Oo2s(c_Datatype_Ooption_OSome(X0,X1),X1),X1) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_370]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_362,plain,
% 170.39/170.74 ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12122_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14909,plain,
% 170.39/170.74 ( c_less(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_362]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_351,plain,
% 170.39/170.74 ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12159_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14897,plain,
% 170.39/170.74 ( c_times(X0,c_0,tc_nat) = c_times(X1,c_0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_351]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_350,plain,
% 170.39/170.74 ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12160_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14895,plain,
% 170.39/170.74 ( c_times(c_0,X0,tc_nat) = c_times(c_0,X1,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_350]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_347,plain,
% 170.39/170.74 ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12187_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14891,plain,
% 170.39/170.74 ( c_lessequals(c_uminus(c_IntDef_Oint(X0),tc_IntDef_Oint),c_IntDef_Oint(X1),tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_347]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_342,plain,
% 170.39/170.74 ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12247_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14885,plain,
% 170.39/170.74 ( c_in(c_List_Olist_ONil,c_List_Olists(X0,X1),tc_List_Olist(X1)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_342]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_341,plain,
% 170.39/170.74 ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12248_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14883,plain,
% 170.39/170.74 ( c_in(c_List_Oset(X0,X1),c_Finite__Set_OFinites,tc_set(X1)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_341]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_335,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12273_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14876,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OlessThan(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_335]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_334,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12274_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14874,plain,
% 170.39/170.74 ( c_in(c_SetInterval_OatMost(X0,tc_nat),c_Finite__Set_OFinites,tc_set(tc_nat)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_334]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_331,plain,
% 170.39/170.74 ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12286_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14870,plain,
% 170.39/170.74 ( c_IntDef_Oneg(c_uminus(c_IntDef_Oint(c_Suc(X0)),tc_IntDef_Oint),tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_331]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_330,plain,
% 170.39/170.74 ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12287_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14868,plain,
% 170.39/170.74 ( c_less(c_HOL_Oabs(c_0,tc_IntDef_Oint),c_1,tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_330]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_324,plain,
% 170.39/170.74 ( c_lessequals(X0,X0,tc_set(X1)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12335_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14861,plain,
% 170.39/170.74 ( c_lessequals(X0,X0,tc_set(X1)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_324]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_320,plain,
% 170.39/170.74 ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12346_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14856,plain,
% 170.39/170.74 ( c_lessequals(c_emptyset,X0,tc_set(X1)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_320]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_319,plain,
% 170.39/170.74 ( c_less(X0,c_Suc(X0),tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12347_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14854,plain,
% 170.39/170.74 ( c_less(X0,c_Suc(X0),tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_319]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_318,plain,
% 170.39/170.74 ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12348_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14852,plain,
% 170.39/170.74 ( c_lessequals(X0,c_UNIV,tc_set(X1)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_318]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_313,plain,
% 170.39/170.74 ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12360_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14845,plain,
% 170.39/170.74 ( c_less(c_0,c_Suc(X0),tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_313]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_312,plain,
% 170.39/170.74 ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12361_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14843,plain,
% 170.39/170.74 ( c_in(c_emptyset,c_Finite__Set_OFinites,tc_set(X0)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_312]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_311,plain,
% 170.39/170.74 ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12362_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14841,plain,
% 170.39/170.74 ( c_lessequals(c_emptyset,c_emptyset,tc_set(X0)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_311]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_309,plain,
% 170.39/170.74 ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12364_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14838,plain,
% 170.39/170.74 ( c_lessequals(c_0,c_IntDef_Oint(X0),tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_309]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_285,plain,
% 170.39/170.74 ( c_in(X0,c_UNIV,X1) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12400_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14810,plain,
% 170.39/170.74 ( c_in(X0,c_UNIV,X1) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_285]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_263,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12423_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14787,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,X0,tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_263]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_259,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12427_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14782,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,X0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_259]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_248,plain,
% 170.39/170.74 ( c_lessequals(c_0,X0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12438_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14770,plain,
% 170.39/170.74 ( c_lessequals(c_0,X0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_248]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_247,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12439_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14768,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(c_1,X0,tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_247]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_246,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12440_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14766,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,c_0,tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_246]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_245,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12441_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14764,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(X0,c_0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_245]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_227,plain,
% 170.39/170.74 ( c_less(c_0,c_1,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12464_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14745,plain,
% 170.39/170.74 ( c_less(c_0,c_1,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_227]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_226,plain,
% 170.39/170.74 ( c_lessequals(c_0,c_0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12465_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14743,plain,
% 170.39/170.74 ( c_lessequals(c_0,c_0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_226]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_224,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12467_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14740,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(c_0,c_0,tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_224]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_223,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12468_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14738,plain,
% 170.39/170.74 ( c_Divides_Oop_Advd(c_0,c_0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_223]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_215,plain,
% 170.39/170.74 ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12489_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14729,plain,
% 170.39/170.74 ( c_List_Odistinct(c_List_Oremdups(X0,X1),X1) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_215]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_209,plain,
% 170.39/170.74 ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12495_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14722,plain,
% 170.39/170.74 ( c_List_Odistinct(c_List_Oupt(X0,X1),tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_209]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_205,plain,
% 170.39/170.74 ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12520_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14717,plain,
% 170.39/170.74 ( class_Nat_Opower(tc_fun(X0,X1)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_205]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_184,plain,
% 170.39/170.74 ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12577_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14695,plain,
% 170.39/170.74 ( c_Wellfounded__Recursion_Owf(c_emptyset,X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_184]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_166,plain,
% 170.39/170.74 ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12595_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14676,plain,
% 170.39/170.74 ( c_List_Onull(c_List_Olist_ONil,X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_166]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_164,plain,
% 170.39/170.74 ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_12597_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14673,plain,
% 170.39/170.74 ( c_List_Odistinct(c_List_Olist_ONil,X0) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_164]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_157,plain,
% 170.39/170.74 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13511_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14665,plain,
% 170.39/170.74 ( c_Wellfounded__Recursion_Owf(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_157]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_156,plain,
% 170.39/170.74 ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13512_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14663,plain,
% 170.39/170.74 ( c_Relation_Otrans(c_Wellfounded__Relations_Oless__than,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_156]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_153,plain,
% 170.39/170.74 ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13515_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14659,plain,
% 170.39/170.74 ( c_Parity_Oeven(c_0,tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_153]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_152,plain,
% 170.39/170.74 ( c_Parity_Oeven(c_0,tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13516_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14657,plain,
% 170.39/170.74 ( c_Parity_Oeven(c_0,tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_152]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_126,plain,
% 170.39/170.74 ( class_Nat_Opower(tc_set(X0)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13542_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14630,plain,
% 170.39/170.74 ( class_Nat_Opower(tc_set(X0)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_126]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_125,plain,
% 170.39/170.74 ( class_Orderings_Oorder(tc_set(X0)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13543_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14628,plain,
% 170.39/170.74 ( class_Orderings_Oorder(tc_set(X0)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_125]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_124,plain,
% 170.39/170.74 ( class_Orderings_Oord(tc_set(X0)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13544_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14626,plain,
% 170.39/170.74 ( class_Orderings_Oord(tc_set(X0)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_124]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_123,plain,
% 170.39/170.74 ( class_HOL_Ominus(tc_set(X0)) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13545_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14624,plain,
% 170.39/170.74 ( class_HOL_Ominus(tc_set(X0)) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_123]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_121,plain,
% 170.39/170.74 ( class_HOL_Ominus(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13552_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14621,plain,
% 170.39/170.74 ( class_HOL_Ominus(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_121]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_120,plain,
% 170.39/170.74 ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13553_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14619,plain,
% 170.39/170.74 ( class_Wellfounded__Recursion_Owellorder(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_120]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_119,plain,
% 170.39/170.74 ( class_Orderings_Olinorder(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13554_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14617,plain,
% 170.39/170.74 ( class_Orderings_Olinorder(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_119]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_118,plain,
% 170.39/170.74 ( class_LOrder_Olorder(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13555_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14615,plain,
% 170.39/170.74 ( class_LOrder_Olorder(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_118]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_117,plain,
% 170.39/170.74 ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13556_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14613,plain,
% 170.39/170.74 ( class_LOrder_Ojoin__semilorder(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_117]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_116,plain,
% 170.39/170.74 ( class_Parity_Oeven__odd(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13557_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14611,plain,
% 170.39/170.74 ( class_Parity_Oeven__odd(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_116]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_115,plain,
% 170.39/170.74 ( class_Numeral_Onumber(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13558_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14609,plain,
% 170.39/170.74 ( class_Numeral_Onumber(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_115]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_114,plain,
% 170.39/170.74 ( class_Power_Orecpower(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13559_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14607,plain,
% 170.39/170.74 ( class_Power_Orecpower(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_114]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_113,plain,
% 170.39/170.74 ( class_Divides_Odiv(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13560_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14605,plain,
% 170.39/170.74 ( class_Divides_Odiv(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_113]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_112,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13561_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14603,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_112]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_111,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13562_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14601,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_111]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_110,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13563_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14599,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_110]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_109,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13564_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14597,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__comm__semiring(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_109]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_108,plain,
% 170.39/170.74 ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13565_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14595,plain,
% 170.39/170.74 ( class_LOrder_Omeet__semilorder(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_108]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_107,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13566_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14593,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_107]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_106,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13567_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14591,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_106]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_105,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13568_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14589,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_105]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_104,plain,
% 170.39/170.74 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13569_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14587,plain,
% 170.39/170.74 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_104]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_103,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13570_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14585,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_103]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_102,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13571_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14583,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_102]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_101,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13572_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14581,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_101]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_100,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13573_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14579,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_100]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_99,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13574_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14577,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_99]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_98,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13575_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14575,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__1__cancel(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_98]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_97,plain,
% 170.39/170.74 ( class_Orderings_Oorder(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13576_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14573,plain,
% 170.39/170.74 ( class_Orderings_Oorder(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_97]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_96,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13577_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14571,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__0__cancel(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_96]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_95,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13578_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14569,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_95]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_94,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13579_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14567,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_94]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_93,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13580_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14565,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_93]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_92,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13581_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14563,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_92]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_91,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13582_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14561,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_91]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_90,plain,
% 170.39/170.74 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13583_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14559,plain,
% 170.39/170.74 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_90]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_89,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13584_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14557,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__0(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_89]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_88,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13585_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14555,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_88]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_87,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13586_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14553,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_87]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_86,plain,
% 170.39/170.74 ( class_Orderings_Oord(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13587_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14551,plain,
% 170.39/170.74 ( class_Orderings_Oord(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_86]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_85,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13588_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14549,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_85]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_84,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13589_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14547,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_84]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_83,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13590_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14545,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_83]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_82,plain,
% 170.39/170.74 ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13591_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14543,plain,
% 170.39/170.74 ( class_OrderedGroup_Osemigroup__mult(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_82]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_81,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13592_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14541,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_81]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_80,plain,
% 170.39/170.74 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13593_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14539,plain,
% 170.39/170.74 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_80]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_79,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13594_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14537,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_79]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_78,plain,
% 170.39/170.74 ( class_Nat_Opower(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13595_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14535,plain,
% 170.39/170.74 ( class_Nat_Opower(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_78]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_77,plain,
% 170.39/170.74 ( class_HOL_Otimes(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13596_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14533,plain,
% 170.39/170.74 ( class_HOL_Otimes(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_77]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_76,plain,
% 170.39/170.74 ( class_HOL_Oplus(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13597_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14531,plain,
% 170.39/170.74 ( class_HOL_Oplus(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_76]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_75,plain,
% 170.39/170.74 ( class_HOL_Ozero(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13598_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14529,plain,
% 170.39/170.74 ( class_HOL_Ozero(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_75]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_74,plain,
% 170.39/170.74 ( class_HOL_Oone(tc_nat) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13599_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14527,plain,
% 170.39/170.74 ( class_HOL_Oone(tc_nat) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_74]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_73,plain,
% 170.39/170.74 ( class_Finite__Set_Ofinite(tc_bool) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13600_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14525,plain,
% 170.39/170.74 ( class_Finite__Set_Ofinite(tc_bool) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_73]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_72,plain,
% 170.39/170.74 ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13601_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14523,plain,
% 170.39/170.74 ( class_Finite__Set_Ofinite(tc_Product__Type_Ounit) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_72]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_71,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13602_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14521,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__semigroup__mult(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_71]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_70,plain,
% 170.39/170.74 ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13603_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14519,plain,
% 170.39/170.74 ( class_OrderedGroup_Osemigroup__mult(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_70]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_69,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13604_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14517,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__semigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_69]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_68,plain,
% 170.39/170.74 ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13605_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14515,plain,
% 170.39/170.74 ( class_Parity_Oeven__odd(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_68]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_67,plain,
% 170.39/170.74 ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13606_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14513,plain,
% 170.39/170.74 ( class_Power_Orecpower(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_67]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_66,plain,
% 170.39/170.74 ( class_Nat_Opower(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13607_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14511,plain,
% 170.39/170.74 ( class_Nat_Opower(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_66]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_65,plain,
% 170.39/170.74 ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13608_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14509,plain,
% 170.39/170.74 ( class_Divides_Odiv(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_65]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_64,plain,
% 170.39/170.74 ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13609_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14507,plain,
% 170.39/170.74 ( class_Numeral_Onumber__ring(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_64]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_63,plain,
% 170.39/170.74 ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13610_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14505,plain,
% 170.39/170.74 ( class_OrderedGroup_Osemigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_63]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_62,plain,
% 170.39/170.74 ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13611_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14503,plain,
% 170.39/170.74 ( class_Numeral_Onumber(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_62]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_61,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13612_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14501,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__idom(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_61]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_60,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13613_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14499,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oidom(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_60]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_59,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13614_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14497,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__semidom(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_59]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_58,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13615_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14495,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__ring__strict(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_58]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_57,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13616_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14493,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oaxclass__no__zero__divisors(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_57]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_56,plain,
% 170.39/170.74 ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13617_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14491,plain,
% 170.39/170.74 ( class_Ring__and__Field_Olordered__ring(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_56]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_55,plain,
% 170.39/170.74 ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13618_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14489,plain,
% 170.39/170.74 ( class_OrderedGroup_Olordered__ab__group__join(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_55]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_54,plain,
% 170.39/170.74 ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13619_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14487,plain,
% 170.39/170.74 ( class_OrderedGroup_Olordered__ab__group__meet(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_54]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_53,plain,
% 170.39/170.74 ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13620_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14485,plain,
% 170.39/170.74 ( class_OrderedGroup_Olordered__ab__group__abs(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_53]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_52,plain,
% 170.39/170.74 ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13621_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14483,plain,
% 170.39/170.74 ( class_Orderings_Oord(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_52]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_51,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13622_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14481,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__ring(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_51]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_50,plain,
% 170.39/170.74 ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13623_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14479,plain,
% 170.39/170.74 ( class_OrderedGroup_Olordered__ab__group(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_50]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_49,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13624_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14477,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__ab__group__add(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_49]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_48,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13625_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14475,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oaxclass__abs__if(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_48]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_47,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13626_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14473,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_47]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_46,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13627_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14471,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__cancel__comm__semiring(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_46]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_45,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13628_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14469,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__comm__semiring(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_45]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_44,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13629_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14467,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oordered__semiring__strict(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_44]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_43,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13630_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14465,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_43]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_42,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13631_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14463,plain,
% 170.39/170.74 ( class_Ring__and__Field_Opordered__semiring(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_42]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_41,plain,
% 170.39/170.74 ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13632_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14461,plain,
% 170.39/170.74 ( class_HOL_Ozero(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_41]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_40,plain,
% 170.39/170.74 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13633_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14459,plain,
% 170.39/170.74 ( class_OrderedGroup_Oordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_40]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_39,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13634_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14457,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_39]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_38,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13635_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14455,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_38]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_37,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13636_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14453,plain,
% 170.39/170.74 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_37]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_36,plain,
% 170.39/170.74 ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13637_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14451,plain,
% 170.39/170.74 ( class_Orderings_Olinorder(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_36]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_35,plain,
% 170.39/170.74 ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13638_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14449,plain,
% 170.39/170.74 ( class_LOrder_Olorder(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_35]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_34,plain,
% 170.39/170.74 ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13639_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14447,plain,
% 170.39/170.74 ( class_LOrder_Ojoin__semilorder(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_34]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_33,plain,
% 170.39/170.74 ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13640_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14445,plain,
% 170.39/170.74 ( class_LOrder_Omeet__semilorder(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_33]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_32,plain,
% 170.39/170.74 ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13641_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14443,plain,
% 170.39/170.74 ( class_Orderings_Oorder(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_32]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_31,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13642_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14441,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__ring__1(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_31]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_30,plain,
% 170.39/170.74 ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13643_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14439,plain,
% 170.39/170.74 ( class_HOL_Otimes(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_30]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_29,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13644_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14437,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__1__cancel(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_29]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_28,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13645_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14435,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oring__1(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_28]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_27,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13646_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14433,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__1__cancel(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_27]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_26,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13647_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14431,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__1(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_26]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_25,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13648_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14429,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__1(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_25]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_24,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13649_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14427,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocomm__monoid__mult(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_24]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_23,plain,
% 170.39/170.74 ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13650_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14425,plain,
% 170.39/170.74 ( class_OrderedGroup_Omonoid__mult(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_23]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_22,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13651_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14423,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oaxclass__0__neq__1(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_22]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_21,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13652_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14421,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__ring(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_21]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_20,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13653_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14419,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__0__cancel(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_20]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_19,plain,
% 170.39/170.74 ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13654_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14417,plain,
% 170.39/170.74 ( class_HOL_Oplus(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_19]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_18,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13655_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14415,plain,
% 170.39/170.74 ( class_Ring__and__Field_Oring(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_18]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_17,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13656_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14413,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__0__cancel(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_17]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_16,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13657_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14411,plain,
% 170.39/170.74 ( class_OrderedGroup_Oab__group__add(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_16]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_15,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13658_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14409,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_15]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13659_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14407,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocancel__semigroup__add(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_14]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_13,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13660_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14405,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring__0(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_13]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_12,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13661_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14403,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring__0(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_12]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_11,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13662_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14401,plain,
% 170.39/170.74 ( class_OrderedGroup_Ocomm__monoid__add(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_11]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_10,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13663_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14399,plain,
% 170.39/170.74 ( class_Ring__and__Field_Ocomm__semiring(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_10]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_9,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13664_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14397,plain,
% 170.39/170.74 ( class_Ring__and__Field_Osemiring(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_9]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_8,plain,
% 170.39/170.74 ( class_HOL_Oone(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13665_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14395,plain,
% 170.39/170.74 ( class_HOL_Oone(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_8]) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_7,plain,
% 170.39/170.74 ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 170.39/170.74 file('/export/starexec/sandbox/tmp/iprover_modulo_4c7f6c.p', c_0_13666_0) ).
% 170.39/170.74
% 170.39/170.74 cnf(c_14393,plain,
% 170.39/170.74 ( class_HOL_Ominus(tc_IntDef_Oint) ),
% 170.39/170.74 inference(copy,[status(esa)],[c_7]) ).
% 170.39/170.74
% 170.39/170.74
% 170.39/170.74
% 170.39/170.74 % ------ Statistics
% 170.39/170.74
% 170.39/170.74 % ------ General
% 170.39/170.74
% 170.39/170.74 % num_of_input_clauses: 6001
% 170.39/170.74 % num_of_input_neg_conjectures: 4
% 170.39/170.74 % num_of_splits: 0
% 170.39/170.74 % num_of_split_atoms: 0
% 170.39/170.74 % num_of_sem_filtered_clauses: 0
% 170.39/170.74 % num_of_subtypes: 0
% 170.39/170.74 % monotx_restored_types: 0
% 170.39/170.74 % sat_num_of_epr_types: 0
% 170.39/170.74 % sat_num_of_non_cyclic_types: 0
% 170.39/170.74 % sat_guarded_non_collapsed_types: 0
% 170.39/170.74 % is_epr: 0
% 170.39/170.74 % is_horn: 0
% 170.39/170.74 % has_eq: 1
% 170.39/170.74 % num_pure_diseq_elim: 0
% 170.39/170.74 % simp_replaced_by: 0
% 170.39/170.74 % res_preprocessed: 8
% 170.39/170.74 % prep_upred: 0
% 170.39/170.74 % prep_unflattend: 0
% 170.39/170.74 % pred_elim_cands: 0
% 170.39/170.74 % pred_elim: 0
% 170.39/170.74 % pred_elim_cl: 0
% 170.39/170.74 % pred_elim_cycles: 0
% 170.39/170.74 % forced_gc_time: 0
% 170.39/170.74 % gc_basic_clause_elim: 0
% 170.39/170.74 % parsing_time: 0.173
% 170.39/170.74 % sem_filter_time: 0.
% 170.39/170.74 % pred_elim_time: 0.
% 170.39/170.74 % out_proof_time: 0.
% 170.39/170.74 % monotx_time: 0.
% 170.39/170.74 % subtype_inf_time: 0.
% 170.39/170.74 % unif_index_cands_time: 0.
% 170.39/170.74 % unif_index_add_time: 0.004
% 170.39/170.74 % total_time: 19.432
% 170.39/170.74 % num_of_symbols: 350
% 170.39/170.74 % num_of_terms: 9770
% 170.39/170.74
% 170.39/170.74 % ------ Propositional Solver
% 170.39/170.74
% 170.39/170.74 % prop_solver_calls: 1
% 170.39/170.74 % prop_fast_solver_calls: 12
% 170.39/170.74 % prop_num_of_clauses: 6070
% 170.39/170.74 % prop_preprocess_simplified: 17600
% 170.39/170.74 % prop_fo_subsumed: 0
% 170.39/170.74 % prop_solver_time: 0.
% 170.39/170.74 % prop_fast_solver_time: 0.
% 170.39/170.74 % prop_unsat_core_time: 0.
% 170.39/170.74
% 170.39/170.74 % ------ QBF
% 170.39/170.74
% 170.39/170.74 % qbf_q_res: 0
% 170.39/170.74 % qbf_num_tautologies: 0
% 170.39/170.74 % qbf_prep_cycles: 0
% 170.39/170.74
% 170.39/170.74 % ------ BMC1
% 170.39/170.74
% 170.39/170.74 % bmc1_current_bound: -1
% 170.39/170.74 % bmc1_last_solved_bound: -1
% 170.39/170.74 % bmc1_unsat_core_size: -1
% 170.39/170.74 % bmc1_unsat_core_parents_size: -1
% 170.39/170.74 % bmc1_merge_next_fun: 0
% 170.39/170.74 % bmc1_unsat_core_clauses_time: 0.
% 170.39/170.74
% 170.39/170.74 % ------ Instantiation
% 170.39/170.74
% 170.39/170.74 % inst_num_of_clauses: 5875
% 170.39/170.74 % inst_num_in_passive: 0
% 170.39/170.74 % inst_num_in_active: 0
% 170.39/170.74 % inst_num_in_unprocessed: 6001
% 170.39/170.74 % inst_num_of_loops: 0
% 170.39/170.74 % inst_num_of_learning_restarts: 0
% 170.39/170.74 % inst_num_moves_active_passive: 0
% 170.39/170.74 % inst_lit_activity: 0
% 170.39/170.74 % inst_lit_activity_moves: 0
% 170.39/170.74 % inst_num_tautologies: 0
% 170.39/170.74 % inst_num_prop_implied: 0
% 170.39/170.74 % inst_num_existing_simplified: 0
% 170.39/170.74 % inst_num_eq_res_simplified: 0
% 170.39/170.74 % inst_num_child_elim: 0
% 170.39/170.74 % inst_num_of_dismatching_blockings: 0
% 170.39/170.74 % inst_num_of_non_proper_insts: 0
% 170.39/170.74 % inst_num_of_duplicates: 0
% 170.39/170.74 % inst_inst_num_from_inst_to_res: 0
% 170.39/170.74 % inst_dismatching_checking_time: 0.
% 170.39/170.74
% 170.39/170.74 % ------ Resolution
% 170.39/170.74
% 170.39/170.74 % res_num_of_clauses: 6257
% 170.39/170.74 % res_num_in_passive: 0
% 170.39/170.74 % res_num_in_active: 2360
% 170.39/170.74 % res_num_of_loops: 7
% 170.39/170.74 % res_forward_subset_subsumed: 3230
% 170.39/170.74 % res_backward_subset_subsumed: 0
% 170.39/170.74 % res_forward_subsumed: 0
% 170.39/170.74 % res_backward_subsumed: 0
% 170.39/170.74 % res_forward_subsumption_resolution: 0
% 170.39/170.74 % res_backward_subsumption_resolution: 0
% 170.39/170.74 % res_clause_to_clause_subsumption: 1
% 170.39/170.74 % res_orphan_elimination: 0
% 170.39/170.74 % res_tautology_del: 0
% 170.39/170.74 % res_num_eq_res_simplified: 0
% 170.39/170.74 % res_num_sel_changes: 0
% 170.39/170.74 % res_moves_from_active_to_pass: 0
% 170.39/170.74
% 170.39/170.74 % Status Unknown
% 170.39/170.75 % Last status :
% 170.39/170.75 % SZS status Unknown
%------------------------------------------------------------------------------