TSTP Solution File: LCL796-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL796-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 11:39:51 EDT 2022
% Result : Unknown 11.40s 11.63s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : LCL796-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.14 % Command : iprover_modulo %s %d
% 0.13/0.35 % Computer : n020.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sat Jul 2 16:23:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.36 % Running in mono-core mode
% 0.43/0.63 % Orienting using strategy Equiv(ClausalAll)
% 0.43/0.63 % Orientation found
% 0.43/0.63 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_78b277.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_af090b | grep -v "SZS"
% 0.49/0.65
% 0.49/0.65 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.49/0.65
% 0.49/0.65 %
% 0.49/0.65 % ------ iProver source info
% 0.49/0.65
% 0.49/0.65 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.49/0.65 % git: non_committed_changes: true
% 0.49/0.65 % git: last_make_outside_of_git: true
% 0.49/0.65
% 0.49/0.65 %
% 0.49/0.65 % ------ Input Options
% 0.49/0.65
% 0.49/0.65 % --out_options all
% 0.49/0.65 % --tptp_safe_out true
% 0.49/0.65 % --problem_path ""
% 0.49/0.65 % --include_path ""
% 0.49/0.65 % --clausifier .//eprover
% 0.49/0.65 % --clausifier_options --tstp-format
% 0.49/0.65 % --stdin false
% 0.49/0.65 % --dbg_backtrace false
% 0.49/0.65 % --dbg_dump_prop_clauses false
% 0.49/0.65 % --dbg_dump_prop_clauses_file -
% 0.49/0.65 % --dbg_out_stat false
% 0.49/0.65
% 0.49/0.65 % ------ General Options
% 0.49/0.65
% 0.49/0.65 % --fof false
% 0.49/0.65 % --time_out_real 150.
% 0.49/0.65 % --time_out_prep_mult 0.2
% 0.49/0.65 % --time_out_virtual -1.
% 0.49/0.65 % --schedule none
% 0.49/0.65 % --ground_splitting input
% 0.49/0.65 % --splitting_nvd 16
% 0.49/0.65 % --non_eq_to_eq false
% 0.49/0.65 % --prep_gs_sim true
% 0.49/0.65 % --prep_unflatten false
% 0.49/0.65 % --prep_res_sim true
% 0.49/0.65 % --prep_upred true
% 0.49/0.65 % --res_sim_input true
% 0.49/0.65 % --clause_weak_htbl true
% 0.49/0.65 % --gc_record_bc_elim false
% 0.49/0.65 % --symbol_type_check false
% 0.49/0.65 % --clausify_out false
% 0.49/0.65 % --large_theory_mode false
% 0.49/0.65 % --prep_sem_filter none
% 0.49/0.65 % --prep_sem_filter_out false
% 0.49/0.65 % --preprocessed_out false
% 0.49/0.65 % --sub_typing false
% 0.49/0.65 % --brand_transform false
% 0.49/0.65 % --pure_diseq_elim true
% 0.49/0.65 % --min_unsat_core false
% 0.49/0.65 % --pred_elim true
% 0.49/0.65 % --add_important_lit false
% 0.49/0.65 % --soft_assumptions false
% 0.49/0.65 % --reset_solvers false
% 0.49/0.65 % --bc_imp_inh []
% 0.49/0.65 % --conj_cone_tolerance 1.5
% 0.49/0.65 % --prolific_symb_bound 500
% 0.49/0.65 % --lt_threshold 2000
% 0.49/0.65
% 0.49/0.65 % ------ SAT Options
% 0.49/0.65
% 0.49/0.65 % --sat_mode false
% 0.49/0.65 % --sat_fm_restart_options ""
% 0.49/0.65 % --sat_gr_def false
% 0.49/0.65 % --sat_epr_types true
% 0.49/0.65 % --sat_non_cyclic_types false
% 0.49/0.65 % --sat_finite_models false
% 0.49/0.65 % --sat_fm_lemmas false
% 0.49/0.65 % --sat_fm_prep false
% 0.49/0.65 % --sat_fm_uc_incr true
% 0.49/0.65 % --sat_out_model small
% 0.49/0.65 % --sat_out_clauses false
% 0.49/0.65
% 0.49/0.65 % ------ QBF Options
% 0.49/0.65
% 0.49/0.65 % --qbf_mode false
% 0.49/0.65 % --qbf_elim_univ true
% 0.49/0.65 % --qbf_sk_in true
% 0.49/0.65 % --qbf_pred_elim true
% 0.49/0.65 % --qbf_split 32
% 0.49/0.65
% 0.49/0.65 % ------ BMC1 Options
% 0.49/0.65
% 0.49/0.65 % --bmc1_incremental false
% 0.49/0.65 % --bmc1_axioms reachable_all
% 0.49/0.65 % --bmc1_min_bound 0
% 0.49/0.65 % --bmc1_max_bound -1
% 0.49/0.65 % --bmc1_max_bound_default -1
% 0.49/0.65 % --bmc1_symbol_reachability true
% 0.49/0.65 % --bmc1_property_lemmas false
% 0.49/0.65 % --bmc1_k_induction false
% 0.49/0.65 % --bmc1_non_equiv_states false
% 0.49/0.65 % --bmc1_deadlock false
% 0.49/0.65 % --bmc1_ucm false
% 0.49/0.65 % --bmc1_add_unsat_core none
% 0.49/0.65 % --bmc1_unsat_core_children false
% 0.49/0.65 % --bmc1_unsat_core_extrapolate_axioms false
% 0.49/0.65 % --bmc1_out_stat full
% 0.49/0.65 % --bmc1_ground_init false
% 0.49/0.65 % --bmc1_pre_inst_next_state false
% 0.49/0.65 % --bmc1_pre_inst_state false
% 0.49/0.65 % --bmc1_pre_inst_reach_state false
% 0.49/0.65 % --bmc1_out_unsat_core false
% 0.49/0.65 % --bmc1_aig_witness_out false
% 0.49/0.65 % --bmc1_verbose false
% 0.49/0.65 % --bmc1_dump_clauses_tptp false
% 5.92/6.25 % --bmc1_dump_unsat_core_tptp false
% 5.92/6.25 % --bmc1_dump_file -
% 5.92/6.25 % --bmc1_ucm_expand_uc_limit 128
% 5.92/6.25 % --bmc1_ucm_n_expand_iterations 6
% 5.92/6.25 % --bmc1_ucm_extend_mode 1
% 5.92/6.25 % --bmc1_ucm_init_mode 2
% 5.92/6.25 % --bmc1_ucm_cone_mode none
% 5.92/6.25 % --bmc1_ucm_reduced_relation_type 0
% 5.92/6.25 % --bmc1_ucm_relax_model 4
% 5.92/6.25 % --bmc1_ucm_full_tr_after_sat true
% 5.92/6.25 % --bmc1_ucm_expand_neg_assumptions false
% 5.92/6.25 % --bmc1_ucm_layered_model none
% 5.92/6.25 % --bmc1_ucm_max_lemma_size 10
% 5.92/6.25
% 5.92/6.25 % ------ AIG Options
% 5.92/6.25
% 5.92/6.25 % --aig_mode false
% 5.92/6.25
% 5.92/6.25 % ------ Instantiation Options
% 5.92/6.25
% 5.92/6.25 % --instantiation_flag true
% 5.92/6.25 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.92/6.25 % --inst_solver_per_active 750
% 5.92/6.25 % --inst_solver_calls_frac 0.5
% 5.92/6.25 % --inst_passive_queue_type priority_queues
% 5.92/6.25 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.92/6.25 % --inst_passive_queues_freq [25;2]
% 5.92/6.25 % --inst_dismatching true
% 5.92/6.25 % --inst_eager_unprocessed_to_passive true
% 5.92/6.25 % --inst_prop_sim_given true
% 5.92/6.25 % --inst_prop_sim_new false
% 5.92/6.25 % --inst_orphan_elimination true
% 5.92/6.25 % --inst_learning_loop_flag true
% 5.92/6.25 % --inst_learning_start 3000
% 5.92/6.25 % --inst_learning_factor 2
% 5.92/6.25 % --inst_start_prop_sim_after_learn 3
% 5.92/6.25 % --inst_sel_renew solver
% 5.92/6.25 % --inst_lit_activity_flag true
% 5.92/6.25 % --inst_out_proof true
% 5.92/6.25
% 5.92/6.25 % ------ Resolution Options
% 5.92/6.25
% 5.92/6.25 % --resolution_flag true
% 5.92/6.25 % --res_lit_sel kbo_max
% 5.92/6.25 % --res_to_prop_solver none
% 5.92/6.25 % --res_prop_simpl_new false
% 5.92/6.25 % --res_prop_simpl_given false
% 5.92/6.25 % --res_passive_queue_type priority_queues
% 5.92/6.25 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.92/6.25 % --res_passive_queues_freq [15;5]
% 5.92/6.25 % --res_forward_subs full
% 5.92/6.25 % --res_backward_subs full
% 5.92/6.25 % --res_forward_subs_resolution true
% 5.92/6.25 % --res_backward_subs_resolution true
% 5.92/6.25 % --res_orphan_elimination false
% 5.92/6.25 % --res_time_limit 1000.
% 5.92/6.25 % --res_out_proof true
% 5.92/6.25 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_78b277.s
% 5.92/6.25 % --modulo true
% 5.92/6.25
% 5.92/6.25 % ------ Combination Options
% 5.92/6.25
% 5.92/6.25 % --comb_res_mult 1000
% 5.92/6.25 % --comb_inst_mult 300
% 5.92/6.25 % ------
% 5.92/6.25
% 5.92/6.25 % ------ Parsing...% successful
% 5.92/6.25
% 5.92/6.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 5.92/6.25
% 5.92/6.25 % ------ Proving...
% 5.92/6.25 % ------ Problem Properties
% 5.92/6.25
% 5.92/6.25 %
% 5.92/6.25 % EPR false
% 5.92/6.25 % Horn false
% 5.92/6.25 % Has equality true
% 5.92/6.25
% 5.92/6.25 % % ------ Input Options Time Limit: Unbounded
% 5.92/6.25
% 5.92/6.25
% 5.92/6.25 Compiling...
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% 6.00/6.54 Loading plugin: done.
% 6.00/6.54 % % ------ Current options:
% 6.00/6.54
% 6.00/6.54 % ------ Input Options
% 6.00/6.54
% 6.00/6.54 % --out_options all
% 6.00/6.54 % --tptp_safe_out true
% 6.00/6.54 % --problem_path ""
% 6.00/6.54 % --include_path ""
% 6.00/6.54 % --clausifier .//eprover
% 6.00/6.54 % --clausifier_options --tstp-format
% 6.00/6.54 % --stdin false
% 6.00/6.54 % --dbg_backtrace false
% 6.00/6.54 % --dbg_dump_prop_clauses false
% 6.00/6.54 % --dbg_dump_prop_clauses_file -
% 6.00/6.54 % --dbg_out_stat false
% 6.00/6.54
% 6.00/6.54 % ------ General Options
% 6.00/6.54
% 6.00/6.54 % --fof false
% 6.00/6.54 % --time_out_real 150.
% 6.00/6.54 % --time_out_prep_mult 0.2
% 6.00/6.54 % --time_out_virtual -1.
% 6.00/6.54 % --schedule none
% 6.00/6.54 % --ground_splitting input
% 6.00/6.54 % --splitting_nvd 16
% 6.00/6.54 % --non_eq_to_eq false
% 6.00/6.54 % --prep_gs_sim true
% 6.00/6.54 % --prep_unflatten false
% 6.00/6.54 % --prep_res_sim true
% 6.00/6.54 % --prep_upred true
% 6.00/6.54 % --res_sim_input true
% 6.00/6.54 % --clause_weak_htbl true
% 6.00/6.54 % --gc_record_bc_elim false
% 6.00/6.54 % --symbol_type_check false
% 6.00/6.54 % --clausify_out false
% 6.00/6.54 % --large_theory_mode false
% 6.00/6.54 % --prep_sem_filter none
% 6.00/6.54 % --prep_sem_filter_out false
% 6.00/6.54 % --preprocessed_out false
% 6.00/6.54 % --sub_typing false
% 6.00/6.54 % --brand_transform false
% 6.00/6.54 % --pure_diseq_elim true
% 6.00/6.54 % --min_unsat_core false
% 6.00/6.54 % --pred_elim true
% 6.00/6.54 % --add_important_lit false
% 6.00/6.54 % --soft_assumptions false
% 6.00/6.54 % --reset_solvers false
% 6.00/6.54 % --bc_imp_inh []
% 6.00/6.54 % --conj_cone_tolerance 1.5
% 6.00/6.54 % --prolific_symb_bound 500
% 6.00/6.54 % --lt_threshold 2000
% 6.00/6.54
% 6.00/6.54 % ------ SAT Options
% 6.00/6.54
% 6.00/6.54 % --sat_mode false
% 6.00/6.54 % --sat_fm_restart_options ""
% 6.00/6.54 % --sat_gr_def false
% 6.00/6.54 % --sat_epr_types true
% 6.00/6.54 % --sat_non_cyclic_types false
% 6.00/6.54 % --sat_finite_models false
% 6.00/6.54 % --sat_fm_lemmas false
% 6.00/6.54 % --sat_fm_prep false
% 6.00/6.54 % --sat_fm_uc_incr true
% 6.00/6.54 % --sat_out_model small
% 6.00/6.54 % --sat_out_clauses false
% 6.00/6.54
% 6.00/6.54 % ------ QBF Options
% 6.00/6.54
% 6.00/6.54 % --qbf_mode false
% 6.00/6.54 % --qbf_elim_univ true
% 6.00/6.54 % --qbf_sk_in true
% 6.00/6.54 % --qbf_pred_elim true
% 6.00/6.54 % --qbf_split 32
% 6.00/6.54
% 6.00/6.54 % ------ BMC1 Options
% 6.00/6.54
% 6.00/6.54 % --bmc1_incremental false
% 6.00/6.54 % --bmc1_axioms reachable_all
% 6.00/6.54 % --bmc1_min_bound 0
% 6.00/6.54 % --bmc1_max_bound -1
% 6.00/6.54 % --bmc1_max_bound_default -1
% 6.00/6.54 % --bmc1_symbol_reachability true
% 6.00/6.54 % --bmc1_property_lemmas false
% 6.00/6.54 % --bmc1_k_induction false
% 6.00/6.54 % --bmc1_non_equiv_states false
% 6.00/6.54 % --bmc1_deadlock false
% 6.00/6.54 % --bmc1_ucm false
% 6.00/6.54 % --bmc1_add_unsat_core none
% 6.00/6.54 % --bmc1_unsat_core_children false
% 6.00/6.54 % --bmc1_unsat_core_extrapolate_axioms false
% 6.00/6.54 % --bmc1_out_stat full
% 6.00/6.54 % --bmc1_ground_init false
% 6.00/6.54 % --bmc1_pre_inst_next_state false
% 6.00/6.54 % --bmc1_pre_inst_state false
% 6.00/6.54 % --bmc1_pre_inst_reach_state false
% 6.00/6.54 % --bmc1_out_unsat_core false
% 6.00/6.54 % --bmc1_aig_witness_out false
% 6.00/6.54 % --bmc1_verbose false
% 6.00/6.54 % --bmc1_dump_clauses_tptp false
% 6.00/6.54 % --bmc1_dump_unsat_core_tptp false
% 6.00/6.54 % --bmc1_dump_file -
% 6.00/6.54 % --bmc1_ucm_expand_uc_limit 128
% 6.00/6.54 % --bmc1_ucm_n_expand_iterations 6
% 6.00/6.55 % --bmc1_ucm_extend_mode 1
% 6.00/6.55 % --bmc1_ucm_init_mode 2
% 6.00/6.55 % --bmc1_ucm_cone_mode none
% 6.00/6.55 % --bmc1_ucm_reduced_relation_type 0
% 6.00/6.55 % --bmc1_ucm_relax_model 4
% 6.00/6.55 % --bmc1_ucm_full_tr_after_sat true
% 6.00/6.55 % --bmc1_ucm_expand_neg_assumptions false
% 6.00/6.55 % --bmc1_ucm_layered_model none
% 6.00/6.55 % --bmc1_ucm_max_lemma_size 10
% 6.00/6.55
% 6.00/6.55 % ------ AIG Options
% 6.00/6.55
% 6.00/6.55 % --aig_mode false
% 6.00/6.55
% 6.00/6.55 % ------ Instantiation Options
% 6.00/6.55
% 6.00/6.55 % --instantiation_flag true
% 6.00/6.55 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 6.00/6.55 % --inst_solver_per_active 750
% 6.00/6.55 % --inst_solver_calls_frac 0.5
% 6.00/6.55 % --inst_passive_queue_type priority_queues
% 6.00/6.55 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 6.00/6.55 % --inst_passive_queues_freq [25;2]
% 6.00/6.55 % --inst_dismatching true
% 6.00/6.55 % --inst_eager_unprocessed_to_passive true
% 6.00/6.55 % --inst_prop_sim_given true
% 6.00/6.55 % --inst_prop_sim_new false
% 6.00/6.55 % --inst_orphan_elimination true
% 6.00/6.55 % --inst_learning_loop_flag true
% 6.00/6.55 % --inst_learning_start 3000
% 6.00/6.55 % --inst_learning_factor 2
% 6.00/6.55 % --inst_start_prop_sim_after_learn 3
% 6.00/6.55 % --inst_sel_renew solver
% 6.00/6.55 % --inst_lit_activity_flag true
% 6.00/6.55 % --inst_out_proof true
% 6.00/6.55
% 6.00/6.55 % ------ Resolution Options
% 6.00/6.55
% 6.00/6.55 % --resolution_flag true
% 6.00/6.55 % --res_lit_sel kbo_max
% 6.00/6.55 % --res_to_prop_solver none
% 6.00/6.55 % --res_prop_simpl_new false
% 6.00/6.55 % --res_prop_simpl_given false
% 6.00/6.55 % --res_passive_queue_type priority_queues
% 6.00/6.55 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 6.00/6.55 % --res_passive_queues_freq [15;5]
% 6.00/6.55 % --res_forward_subs full
% 6.00/6.55 % --res_backward_subs full
% 6.00/6.55 % --res_forward_subs_resolution true
% 6.00/6.55 % --res_backward_subs_resolution true
% 6.00/6.55 % --res_orphan_elimination false
% 6.00/6.55 % --res_time_limit 1000.
% 6.00/6.55 % --res_out_proof true
% 6.00/6.55 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_78b277.s
% 6.00/6.55 % --modulo true
% 6.00/6.55
% 6.00/6.55 % ------ Combination Options
% 6.00/6.55
% 6.00/6.55 % --comb_res_mult 1000
% 6.00/6.55 % --comb_inst_mult 300
% 6.00/6.55 % ------
% 6.00/6.55
% 6.00/6.55
% 6.00/6.55
% 6.00/6.55 % ------ Proving...
% 6.00/6.55 % warning: shown sat in sat incomplete mode
% 6.00/6.55 %
% 6.00/6.55
% 6.00/6.55
% 6.00/6.55
% 6.00/6.55
% 6.00/6.55 cnf(c_2166,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4046_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9805,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_2166]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9806,plain,
% 6.00/6.55 ( ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9805]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_2163,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4045_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9799,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 6.00/6.55 inference(copy,[status(esa)],[c_2163]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9800,plain,
% 6.00/6.55 ( ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9799]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_2131,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 6.00/6.55 | ~ class_Power_Opower(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4030_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9735,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 6.00/6.55 | ~ class_Power_Opower(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_2131]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9736,plain,
% 6.00/6.55 ( ~ class_Power_Opower(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9735]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_2127,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 6.00/6.55 | ~ class_Power_Opower(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.55 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4029_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9727,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 6.00/6.55 | ~ class_Power_Opower(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.55 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_2127]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9728,plain,
% 6.00/6.55 ( ~ class_Power_Opower(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.55 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9727]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_2120,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 6.00/6.55 | ~ class_Power_Opower(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Suc(X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4026_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9713,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 6.00/6.55 | ~ class_Power_Opower(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Suc(X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_2120]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9714,plain,
% 6.00/6.55 ( ~ class_Power_Opower(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Suc(X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9713]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_2072,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Omult__zero(X0)
% 6.00/6.55 | ~ class_Power_Opower(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.55 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4008_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9617,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Omult__zero(X0)
% 6.00/6.55 | ~ class_Power_Opower(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.55 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_2072]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9618,plain,
% 6.00/6.55 ( ~ class_Power_Opower(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Omult__zero(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.55 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9617]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_2056,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 6.00/6.55 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4003_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9585,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 6.00/6.55 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_2056]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9586,plain,
% 6.00/6.55 ( ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 6.00/6.55 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9585]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_2034,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.55 | X1 = X2 ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3996_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9541,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.55 | X1 = X2 ),
% 6.00/6.55 inference(copy,[status(esa)],[c_2034]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9542,plain,
% 6.00/6.55 ( ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.55 | X1 = X2 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9541]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_2030,plain,
% 6.00/6.55 ( X0 = X1
% 6.00/6.55 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3994_2) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9533,plain,
% 6.00/6.55 ( X0 = X1
% 6.00/6.55 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_2030]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9534,plain,
% 6.00/6.55 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 6.00/6.55 | X0 = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9533]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1964,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | X1 = X2
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3968_1) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9401,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | X1 = X2
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1964]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9402,plain,
% 6.00/6.55 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 6.00/6.55 | ~ class_Orderings_Olinorder(X2)
% 6.00/6.55 | X0 = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9401]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1963,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | X1 = X2
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3968_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9399,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | X1 = X2
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1963]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9400,plain,
% 6.00/6.55 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 6.00/6.55 | ~ class_Orderings_Olinorder(X2)
% 6.00/6.55 | X1 = X0 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9399]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1961,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.55 | X1 = X2
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3967_2) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9395,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.55 | X1 = X2
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1961]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9396,plain,
% 6.00/6.55 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 6.00/6.55 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 6.00/6.55 | X0 = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9395]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1959,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 6.00/6.55 | X2 = X1 ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3967_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9391,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 6.00/6.55 | X2 = X1 ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1959]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9392,plain,
% 6.00/6.55 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 6.00/6.55 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 6.00/6.55 | X1 = X0 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9391]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1956,plain,
% 6.00/6.55 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 6.00/6.55 | X0 = X2
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3966_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9385,plain,
% 6.00/6.55 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 6.00/6.55 | X0 = X2
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1956]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9386,plain,
% 6.00/6.55 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.55 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 6.00/6.55 | X1 = X0 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9385]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1951,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Omult__zero(X0)
% 6.00/6.55 | ~ class_Power_Opower(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3965_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9375,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Omult__zero(X0)
% 6.00/6.55 | ~ class_Power_Opower(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1951]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9376,plain,
% 6.00/6.55 ( ~ class_Power_Opower(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Omult__zero(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9375]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1945,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Omult__zero(X0)
% 6.00/6.55 | ~ class_Power_Opower(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.55 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3964_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9363,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Omult__zero(X0)
% 6.00/6.55 | ~ class_Power_Opower(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.55 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1945]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9364,plain,
% 6.00/6.55 ( ~ class_Power_Opower(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Omult__zero(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 6.00/6.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.55 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9363]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1859,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.55 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 6.00/6.55 | c_Suc(X0) = X1 ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3927_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9191,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.55 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 6.00/6.55 | c_Suc(X0) = X1 ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1859]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9192,plain,
% 6.00/6.55 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.55 | c_Suc(X0) = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9191]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1847,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3923_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9167,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1847]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9168,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Olinorder(X2)
% 6.00/6.55 | c_Orderings_Oord__class_Omin(X1,X0,X2) = X0 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9167]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1844,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3922_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9161,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1844]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9162,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Olinorder(X2)
% 6.00/6.55 | c_Orderings_Oord__class_Omin(X0,X1,X2) = X0 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9161]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1841,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3921_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9155,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1841]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9156,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Olinorder(X2)
% 6.00/6.55 | c_Orderings_Oord__class_Omax(X1,X0,X2) = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9155]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1838,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3920_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9149,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1838]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9150,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Olinorder(X2)
% 6.00/6.55 | c_Orderings_Oord__class_Omax(X0,X1,X2) = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9149]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1829,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1
% 6.00/6.55 | c_lessequals(X1,X2,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3916_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9131,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1
% 6.00/6.55 | c_lessequals(X1,X2,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1829]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9132,plain,
% 6.00/6.55 ( c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Olinorder(X2)
% 6.00/6.55 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9131]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1826,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2
% 6.00/6.55 | c_lessequals(X1,X2,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3915_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9125,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2
% 6.00/6.55 | c_lessequals(X1,X2,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1826]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9126,plain,
% 6.00/6.55 ( c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Olinorder(X2)
% 6.00/6.55 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9125]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1815,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | X1 = X2
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3912_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9103,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | X1 = X2
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1815]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9104,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Olinorder(X2)
% 6.00/6.55 | X0 = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9103]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1799,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | X1 = X2
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3908_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9071,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | X1 = X2
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1799]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9072,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Oorder(X2)
% 6.00/6.55 | X0 = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9071]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1791,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | X2 = X1 ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3906_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9055,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | X2 = X1 ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1791]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9056,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Oorder(X2)
% 6.00/6.55 | X1 = X0 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9055]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1779,plain,
% 6.00/6.55 ( ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0)))
% 6.00/6.55 | ~ hBOOL(hAPP(X0,X1))
% 6.00/6.55 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3902_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9031,plain,
% 6.00/6.55 ( ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0)))
% 6.00/6.55 | ~ hBOOL(hAPP(X0,X1))
% 6.00/6.55 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1779]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9032,plain,
% 6.00/6.55 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.55 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0)))
% 6.00/6.55 | ~ hBOOL(hAPP(X0,X1)) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9031]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1770,plain,
% 6.00/6.55 ( ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 6.00/6.55 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.55 | hBOOL(hAPP(X0,X1)) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3899_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9013,plain,
% 6.00/6.55 ( ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 6.00/6.55 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.55 | hBOOL(hAPP(X0,X1)) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1770]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9014,plain,
% 6.00/6.55 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.55 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 6.00/6.55 | hBOOL(hAPP(X0,X1)) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_9013]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1763,plain,
% 6.00/6.55 ( ~ hBOOL(hAPP(X0,X1))
% 6.00/6.55 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 6.00/6.55 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3896_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8999,plain,
% 6.00/6.55 ( ~ hBOOL(hAPP(X0,X1))
% 6.00/6.55 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 6.00/6.55 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1763]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_9000,plain,
% 6.00/6.55 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.55 | ~ hBOOL(hAPP(X0,X1))
% 6.00/6.55 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8999]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1760,plain,
% 6.00/6.55 ( ~ c_Lambda_Obeta(X0,X1)
% 6.00/6.55 | ~ c_Type_Otyping(X2,X0,X3)
% 6.00/6.55 | c_Type_Otyping(X2,X1,X3) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3895_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8993,plain,
% 6.00/6.55 ( ~ c_Lambda_Obeta(X0,X1)
% 6.00/6.55 | ~ c_Type_Otyping(X2,X0,X3)
% 6.00/6.55 | c_Type_Otyping(X2,X1,X3) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1760]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8994,plain,
% 6.00/6.55 ( ~ c_Type_Otyping(X0,X1,X2)
% 6.00/6.55 | c_Type_Otyping(X0,X3,X2)
% 6.00/6.55 | ~ c_Lambda_Obeta(X1,X3) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8993]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1738,plain,
% 6.00/6.55 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3884_2) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8949,plain,
% 6.00/6.55 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1738]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8950,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8949]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1712,plain,
% 6.00/6.55 ( X0 = X1
% 6.00/6.55 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.00/6.55 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3874_2) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8897,plain,
% 6.00/6.55 ( X0 = X1
% 6.00/6.55 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.00/6.55 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1712]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8898,plain,
% 6.00/6.55 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.00/6.55 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.00/6.55 | X0 = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8897]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1700,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.00/6.55 | ~ c_lessequals(X1,X0,tc_nat)
% 6.00/6.55 | X0 = X1 ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3870_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8873,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.00/6.55 | ~ c_lessequals(X1,X0,tc_nat)
% 6.00/6.55 | X0 = X1 ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1700]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8874,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 6.00/6.55 | X1 = X0 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8873]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1685,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3865_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8843,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1685]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8844,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 6.00/6.55 | ~ class_Orderings_Opreorder(X2) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8843]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1676,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X1,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3862_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8825,plain,
% 6.00/6.55 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X1,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1676]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8826,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X0,X1)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 6.00/6.55 | ~ class_Orderings_Olinorder(X1) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8825]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1668,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 6.00/6.55 | X2 = X3 ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3859_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8809,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 6.00/6.55 | X2 = X3 ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1668]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8810,plain,
% 6.00/6.55 ( ~ class_Int_Onumber__ring(X0)
% 6.00/6.55 | ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.55 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 6.00/6.55 | X2 = X3 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8809]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1652,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | X1 = X2
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X2,X1,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3854_2) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8777,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | X1 = X2
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X2,X1,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1652]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8778,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ c_lessequals(X1,X0,X2)
% 6.00/6.55 | ~ class_Orderings_Oorder(X2)
% 6.00/6.55 | X0 = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8777]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1650,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X2,X1,X0)
% 6.00/6.55 | X2 = X1 ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3854_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8773,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X2,X1,X0)
% 6.00/6.55 | X2 = X1 ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1650]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8774,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ c_lessequals(X1,X0,X2)
% 6.00/6.55 | ~ class_Orderings_Oorder(X2)
% 6.00/6.55 | X1 = X0 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8773]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1647,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.55 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3853_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8767,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.55 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1647]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8768,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.55 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 6.00/6.55 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8767]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1643,plain,
% 6.00/6.55 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 6.00/6.55 | X2 = X1
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3851_2) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8759,plain,
% 6.00/6.55 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 6.00/6.55 | X2 = X1
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1643]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8760,plain,
% 6.00/6.55 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 6.00/6.55 | X2 = X1 ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8759]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1612,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 6.00/6.55 | ~ c_lessequals(X2,X1,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3841_2) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8697,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 6.00/6.55 | ~ c_lessequals(X2,X1,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1612]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8698,plain,
% 6.00/6.55 ( c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ c_lessequals(X1,X0,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 6.00/6.55 | ~ class_Orderings_Opreorder(X2) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8697]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1610,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | c_lessequals(X2,X1,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3841_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8693,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | c_lessequals(X2,X1,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1610]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8694,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | c_lessequals(X1,X0,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Opreorder(X2) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8693]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1601,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 6.00/6.55 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.55 | hBOOL(hAPP(X1,X0))
% 6.00/6.55 | hBOOL(hAPP(X1,X2)) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3837_1) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8675,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 6.00/6.55 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.55 | hBOOL(hAPP(X1,X0))
% 6.00/6.55 | hBOOL(hAPP(X1,X2)) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1601]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8676,plain,
% 6.00/6.55 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.55 | hBOOL(hAPP(X0,X1))
% 6.00/6.55 | hBOOL(hAPP(X0,X2))
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8675]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1600,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 6.00/6.55 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.55 | hBOOL(hAPP(X1,X2))
% 6.00/6.55 | hBOOL(hAPP(X1,X0)) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3837_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8673,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 6.00/6.55 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.55 | hBOOL(hAPP(X1,X2))
% 6.00/6.55 | hBOOL(hAPP(X1,X0)) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1600]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8674,plain,
% 6.00/6.55 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.55 | hBOOL(hAPP(X0,X1))
% 6.00/6.55 | hBOOL(hAPP(X0,X2))
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8673]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1572,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 6.00/6.55 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3824_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8617,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 6.00/6.55 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1572]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8618,plain,
% 6.00/6.55 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8617]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1553,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.55 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3815_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8579,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.55 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1553]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8580,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 6.00/6.55 | c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8579]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1550,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3814_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8573,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1550]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8574,plain,
% 6.00/6.55 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 6.00/6.55 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8573]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1547,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.55 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 6.00/6.55 | c_lessequals(X1,X2,tc_nat) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3813_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8567,plain,
% 6.00/6.55 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.55 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 6.00/6.55 | c_lessequals(X1,X2,tc_nat) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1547]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8568,plain,
% 6.00/6.55 ( ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 6.00/6.55 | c_lessequals(X0,X2,tc_nat)
% 6.00/6.55 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8567]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1538,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3809_1) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8549,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1538]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8550,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 6.00/6.55 | ~ class_Orderings_Opreorder(X2) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8549]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1537,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3809_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8547,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1537]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8548,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Opreorder(X2) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8547]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1535,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3808_2) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8543,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1535]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8544,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 6.00/6.55 | ~ class_Orderings_Opreorder(X2) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8543]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1533,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X3,X1,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3808_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8539,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X3,X1,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1533]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8540,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.00/6.55 | ~ class_Orderings_Opreorder(X2) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8539]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1530,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_lessequals(X3,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X3,X1,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3807_1) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8533,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_lessequals(X3,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X3,X1,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1530]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8534,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | c_lessequals(X3,X1,X2)
% 6.00/6.55 | ~ c_lessequals(X3,X0,X2)
% 6.00/6.55 | ~ class_Orderings_Opreorder(X2) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8533]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1529,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X3,X1,X0)
% 6.00/6.55 | c_lessequals(X3,X2,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3807_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8531,plain,
% 6.00/6.55 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X3,X1,X0)
% 6.00/6.55 | c_lessequals(X3,X2,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1529]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8532,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ c_lessequals(X3,X0,X2)
% 6.00/6.55 | c_lessequals(X3,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Opreorder(X2) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8531]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1527,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X3,X2,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3806_2) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8527,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X3,X2,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1527]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8528,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 6.00/6.55 | ~ class_Orderings_Oorder(X2) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8527]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1525,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3806_0) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8523,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.55 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.55 inference(copy,[status(esa)],[c_1525]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8524,plain,
% 6.00/6.55 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 6.00/6.55 | ~ class_Orderings_Oorder(X2) ),
% 6.00/6.55 inference(rewriting,[status(thm)],[c_8523]) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_1522,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.55 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3805_1) ).
% 6.00/6.55
% 6.00/6.55 cnf(c_8517,plain,
% 6.00/6.55 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.55 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.55 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1522]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8518,plain,
% 6.00/6.56 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 6.00/6.56 | ~ class_Orderings_Oorder(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8517]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1521,plain,
% 6.00/6.56 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.56 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3805_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8515,plain,
% 6.00/6.56 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.56 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1521]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8516,plain,
% 6.00/6.56 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.00/6.56 | ~ class_Orderings_Oorder(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8515]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1518,plain,
% 6.00/6.56 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.56 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.56 | c_lessequals(X1,X3,X0)
% 6.00/6.56 | ~ c_lessequals(X2,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3804_1) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8509,plain,
% 6.00/6.56 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.56 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.56 | c_lessequals(X1,X3,X0)
% 6.00/6.56 | ~ c_lessequals(X2,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1518]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8510,plain,
% 6.00/6.56 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.56 | c_lessequals(X0,X3,X2)
% 6.00/6.56 | ~ c_lessequals(X1,X3,X2)
% 6.00/6.56 | ~ class_Orderings_Oorder(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8509]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1517,plain,
% 6.00/6.56 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.56 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.56 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.56 | c_lessequals(X1,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3804_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8507,plain,
% 6.00/6.56 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.56 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.56 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.56 | c_lessequals(X1,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1517]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8508,plain,
% 6.00/6.56 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.56 | ~ c_lessequals(X1,X3,X2)
% 6.00/6.56 | c_lessequals(X0,X3,X2)
% 6.00/6.56 | ~ class_Orderings_Oorder(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8507]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1514,plain,
% 6.00/6.56 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3803_1) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8501,plain,
% 6.00/6.56 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1514]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8502,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 6.00/6.56 | ~ class_Orderings_Oorder(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8501]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1513,plain,
% 6.00/6.56 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3803_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8499,plain,
% 6.00/6.56 ( ~ class_Orderings_Oorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1513]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8500,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.00/6.56 | ~ class_Orderings_Oorder(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8499]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1510,plain,
% 6.00/6.56 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3802_1) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8493,plain,
% 6.00/6.56 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1510]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8494,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 6.00/6.56 | ~ class_Orderings_Opreorder(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8493]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1509,plain,
% 6.00/6.56 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3802_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8491,plain,
% 6.00/6.56 ( ~ class_Orderings_Opreorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1509]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8492,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 6.00/6.56 | ~ class_Orderings_Opreorder(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8491]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1500,plain,
% 6.00/6.56 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.56 | X1 = X2 ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3798_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8473,plain,
% 6.00/6.56 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.56 | X1 = X2 ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1500]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8474,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 6.00/6.56 | X1 = X2 ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8473]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1433,plain,
% 6.00/6.56 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.56 | ~ hBOOL(hAPP(X0,X1))
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat)
% 6.00/6.56 | ~ hBOOL(hAPP(X0,X2)) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3772_3) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8339,plain,
% 6.00/6.56 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.56 | ~ hBOOL(hAPP(X0,X1))
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat)
% 6.00/6.56 | ~ hBOOL(hAPP(X0,X2)) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1433]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8340,plain,
% 6.00/6.56 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.56 | ~ hBOOL(hAPP(X0,X1))
% 6.00/6.56 | ~ hBOOL(hAPP(X0,X2))
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8339]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1430,plain,
% 6.00/6.56 ( ~ hBOOL(hAPP(X0,X1))
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat)
% 6.00/6.56 | ~ hBOOL(hAPP(X0,X2))
% 6.00/6.56 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3772_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8333,plain,
% 6.00/6.56 ( ~ hBOOL(hAPP(X0,X1))
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat)
% 6.00/6.56 | ~ hBOOL(hAPP(X0,X2))
% 6.00/6.56 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1430]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8334,plain,
% 6.00/6.56 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.00/6.56 | ~ hBOOL(hAPP(X0,X1))
% 6.00/6.56 | ~ hBOOL(hAPP(X0,X2))
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8333]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1388,plain,
% 6.00/6.56 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.56 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.56 | X2 = X3 ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3757_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8249,plain,
% 6.00/6.56 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.56 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.56 | X2 = X3 ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1388]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8250,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.56 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.56 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 6.00/6.56 | X2 = X3 ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8249]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1372,plain,
% 6.00/6.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3750_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8217,plain,
% 6.00/6.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1372]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8218,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8217]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1358,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3744_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8189,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1358]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8190,plain,
% 6.00/6.56 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8189]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1355,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3743_2) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8183,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1355]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8184,plain,
% 6.00/6.56 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8183]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1353,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3743_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8179,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1353]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8180,plain,
% 6.00/6.56 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8179]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1350,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3742_2) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8173,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1350]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8174,plain,
% 6.00/6.56 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8173]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1348,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3742_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8169,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1348]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8170,plain,
% 6.00/6.56 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.56 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8169]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1331,plain,
% 6.00/6.56 ( ~ class_Ring__and__Field_Oring__1(X0)
% 6.00/6.56 | ~ c_lessequals(X1,X2,tc_nat)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3734_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8135,plain,
% 6.00/6.56 ( ~ class_Ring__and__Field_Oring__1(X0)
% 6.00/6.56 | ~ c_lessequals(X1,X2,tc_nat)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X2,X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1331]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8136,plain,
% 6.00/6.56 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.56 | ~ class_Ring__and__Field_Oring__1(X2)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X0,X2),X2) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8135]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1317,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3728_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8107,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1317]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8108,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X0,X2,X3)
% 6.00/6.56 | ~ class_Orderings_Olinorder(X3) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8107]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1314,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3727_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8101,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1314]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8102,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X0,X1,X3)
% 6.00/6.56 | ~ class_Orderings_Olinorder(X3) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8101]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1311,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3726_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8095,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1311]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8096,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 6.00/6.56 | ~ class_Orderings_Olinorder(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8095]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1308,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3725_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8089,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1308]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8090,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.00/6.56 | ~ class_Orderings_Olinorder(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8089]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1299,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 6.00/6.56 | c_lessequals(X1,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3722_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8071,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 6.00/6.56 | c_lessequals(X1,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1299]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8072,plain,
% 6.00/6.56 ( ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 6.00/6.56 | c_lessequals(X0,X3,X2)
% 6.00/6.56 | ~ class_Orderings_Olinorder(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8071]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1296,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 6.00/6.56 | c_lessequals(X2,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3721_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8065,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 6.00/6.56 | c_lessequals(X2,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1296]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8066,plain,
% 6.00/6.56 ( ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 6.00/6.56 | c_lessequals(X1,X3,X2)
% 6.00/6.56 | ~ class_Orderings_Olinorder(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8065]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1287,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 6.00/6.56 | c_lessequals(X1,X2,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3718_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8047,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 6.00/6.56 | c_lessequals(X1,X2,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1287]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8048,plain,
% 6.00/6.56 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 6.00/6.56 | c_lessequals(X0,X1,X3)
% 6.00/6.56 | ~ class_Orderings_Olinorder(X3) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8047]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1284,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 6.00/6.56 | c_lessequals(X1,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3717_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8041,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 6.00/6.56 | c_lessequals(X1,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1284]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_8042,plain,
% 6.00/6.56 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 6.00/6.56 | c_lessequals(X0,X2,X3)
% 6.00/6.56 | ~ class_Orderings_Olinorder(X3) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_8041]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1261,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3706_1) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7995,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1261]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7996,plain,
% 6.00/6.56 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7995]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1260,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3706_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7993,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1260]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7994,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7993]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1257,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3705_1) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7987,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1257]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7988,plain,
% 6.00/6.56 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7987]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1256,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3705_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7985,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1256]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7986,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7985]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1253,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | c_lessequals(X2,X1,X0)
% 6.00/6.56 | ~ c_lessequals(X4,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3704_1) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7979,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | c_lessequals(X2,X1,X0)
% 6.00/6.56 | ~ c_lessequals(X4,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1253]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7980,plain,
% 6.00/6.56 ( c_lessequals(X0,X1,X2)
% 6.00/6.56 | ~ c_lessequals(X3,X4,X2)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7979]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1252,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | ~ c_lessequals(X4,X3,X0)
% 6.00/6.56 | c_lessequals(X2,X1,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3704_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7977,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | ~ c_lessequals(X4,X3,X0)
% 6.00/6.56 | c_lessequals(X2,X1,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1252]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7978,plain,
% 6.00/6.56 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.56 | c_lessequals(X3,X4,X2)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7977]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1249,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | c_lessequals(X4,X3,X0)
% 6.00/6.56 | ~ c_lessequals(X2,X1,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3703_1) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7971,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | c_lessequals(X4,X3,X0)
% 6.00/6.56 | ~ c_lessequals(X2,X1,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1249]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7972,plain,
% 6.00/6.56 ( c_lessequals(X0,X1,X2)
% 6.00/6.56 | ~ c_lessequals(X3,X4,X2)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7971]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1248,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | ~ c_lessequals(X2,X1,X0)
% 6.00/6.56 | c_lessequals(X4,X3,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3703_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7969,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 6.00/6.56 | ~ c_lessequals(X2,X1,X0)
% 6.00/6.56 | c_lessequals(X4,X3,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1248]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7970,plain,
% 6.00/6.56 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.56 | c_lessequals(X3,X4,X2)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7969]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1241,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.56 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3700_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7955,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.56 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1241]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7956,plain,
% 6.00/6.56 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7955]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1236,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3698_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7945,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1236]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7946,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7945]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1233,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.00/6.56 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3697_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7939,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.00/6.56 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1233]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7940,plain,
% 6.00/6.56 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7939]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1230,plain,
% 6.00/6.56 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3696_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7933,plain,
% 6.00/6.56 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1230]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7934,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7933]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1227,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3695_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7927,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1227]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7928,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7927]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1224,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 6.00/6.56 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3694_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7921,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 6.00/6.56 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1224]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7922,plain,
% 6.00/6.56 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 6.00/6.56 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.56 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7921]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1221,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3693_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7915,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1221]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7916,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7915]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1218,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_lessequals(X1,X2,X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3692_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7909,plain,
% 6.00/6.56 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.56 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.56 | c_lessequals(X1,X2,X0) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1218]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7910,plain,
% 6.00/6.56 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 6.00/6.56 | c_lessequals(X0,X1,X2)
% 6.00/6.56 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7909]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1201,plain,
% 6.00/6.56 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3684_2) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7875,plain,
% 6.00/6.56 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1201]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7876,plain,
% 6.00/6.56 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.56 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7875]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1197,plain,
% 6.00/6.56 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 6.00/6.56 | X0 = X2
% 6.00/6.56 | ~ c_lessequals(X1,X0,tc_nat)
% 6.00/6.56 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3683_2) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7867,plain,
% 6.00/6.56 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 6.00/6.56 | X0 = X2
% 6.00/6.56 | ~ c_lessequals(X1,X0,tc_nat)
% 6.00/6.56 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1197]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7868,plain,
% 6.00/6.56 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.56 | ~ c_lessequals(X0,X2,tc_nat)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 6.00/6.56 | X1 = X2 ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7867]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1195,plain,
% 6.00/6.56 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 6.00/6.56 | ~ c_lessequals(X1,X2,tc_nat)
% 6.00/6.56 | ~ c_lessequals(X1,X0,tc_nat)
% 6.00/6.56 | X0 = X2 ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3683_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7863,plain,
% 6.00/6.56 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 6.00/6.56 | ~ c_lessequals(X1,X2,tc_nat)
% 6.00/6.56 | ~ c_lessequals(X1,X0,tc_nat)
% 6.00/6.56 | X0 = X2 ),
% 6.00/6.56 inference(copy,[status(esa)],[c_1195]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7864,plain,
% 6.00/6.56 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.56 | ~ c_lessequals(X0,X2,tc_nat)
% 6.00/6.56 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 6.00/6.56 | X2 = X1 ),
% 6.00/6.56 inference(rewriting,[status(thm)],[c_7863]) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_1184,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.56 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 6.00/6.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3679_0) ).
% 6.00/6.56
% 6.00/6.56 cnf(c_7841,plain,
% 6.00/6.56 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.56 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1184]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7842,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 6.00/6.57 | ~ class_Orderings_Olinorder(X3) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7841]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1172,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.57 | ~ c_lessequals(X3,X2,X0)
% 6.00/6.57 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3676_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7817,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.57 | ~ c_lessequals(X3,X2,X0)
% 6.00/6.57 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1172]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7818,plain,
% 6.00/6.57 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 6.00/6.57 | ~ c_lessequals(X1,X3,X2)
% 6.00/6.57 | ~ c_lessequals(X0,X3,X2)
% 6.00/6.57 | ~ class_Orderings_Olinorder(X2) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7817]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1160,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.57 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.57 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3673_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7793,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.57 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.57 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1160]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7794,plain,
% 6.00/6.57 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 6.00/6.57 | ~ c_lessequals(X0,X2,X3)
% 6.00/6.57 | ~ c_lessequals(X0,X1,X3)
% 6.00/6.57 | ~ class_Orderings_Olinorder(X3) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7793]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1156,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3672_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7785,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1156]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7786,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.00/6.57 | ~ class_Orderings_Olinorder(X2) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7785]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1143,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3667_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7759,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1143]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7760,plain,
% 6.00/6.57 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7759]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1142,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3666_2) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7757,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1142]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7758,plain,
% 6.00/6.57 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7757]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1139,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3665_2) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7751,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1139]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7752,plain,
% 6.00/6.57 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7751]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1108,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.57 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3656_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7689,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.57 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1108]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7690,plain,
% 6.00/6.57 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.57 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.57 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7689]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1103,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.57 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3655_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7679,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.57 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1103]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7680,plain,
% 6.00/6.57 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 6.00/6.57 | ~ class_OrderedGroup_Ocomm__monoid__add(X2)
% 6.00/6.57 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7679]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1098,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.57 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.57 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3654_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7669,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.57 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.57 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1098]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7670,plain,
% 6.00/6.57 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 6.00/6.57 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.57 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.57 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7669]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1093,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.57 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.57 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3653_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7659,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.57 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.57 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1093]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7660,plain,
% 6.00/6.57 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.00/6.57 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.57 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.00/6.57 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7659]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1089,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3652_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7651,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1089]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7652,plain,
% 6.00/6.57 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),hAPP(hAPP(c_Power_Opower__class_Opower(X1),X2),X0),X1)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X1),X2,X1)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7651]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1086,plain,
% 6.00/6.57 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.00/6.57 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.00/6.57 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3651_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7645,plain,
% 6.00/6.57 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.00/6.57 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.00/6.57 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1086]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7646,plain,
% 6.00/6.57 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.00/6.57 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.00/6.57 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7645]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1083,plain,
% 6.00/6.57 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3650_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7639,plain,
% 6.00/6.57 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1083]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7640,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7639]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1079,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3649_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7631,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1079]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7632,plain,
% 6.00/6.57 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7631]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1071,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3647_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7615,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1071]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7616,plain,
% 6.00/6.57 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7615]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1067,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3646_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7607,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1067]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7608,plain,
% 6.00/6.57 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7607]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1063,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3645_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7599,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1063]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7600,plain,
% 6.00/6.57 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7599]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1059,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3644_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7591,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1059]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7592,plain,
% 6.00/6.57 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7591]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1055,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3643_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7583,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1055]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7584,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7583]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1051,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3642_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7575,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1051]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7576,plain,
% 6.00/6.57 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7575]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1035,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3638_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7543,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1035]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7544,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7543]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1031,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3637_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7535,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1031]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7536,plain,
% 6.00/6.57 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 6.00/6.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 6.00/6.57 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7535]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1027,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3636_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7527,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1027]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7528,plain,
% 6.00/6.57 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 6.00/6.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 6.00/6.57 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7527]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_1003,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3630_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7479,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_1003]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7480,plain,
% 6.00/6.57 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7479]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_995,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3628_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7463,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_995]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7464,plain,
% 6.00/6.57 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7463]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_991,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3627_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7455,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_991]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7456,plain,
% 6.00/6.57 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7455]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_987,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3626_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7447,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_987]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7448,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7447]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_983,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3625_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7439,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_983]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7440,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7439]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_979,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3624_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7431,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_979]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7432,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7431]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_975,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3623_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7423,plain,
% 6.00/6.57 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_975]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7424,plain,
% 6.00/6.57 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7423]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_966,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3619_1) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7405,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_966]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7406,plain,
% 6.00/6.57 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 6.00/6.57 | ~ class_Orderings_Olinorder(X2) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7405]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_965,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3619_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7403,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_965]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7404,plain,
% 6.00/6.57 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.00/6.57 | ~ class_Orderings_Olinorder(X2) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7403]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_962,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3618_1) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7397,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_962]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7398,plain,
% 6.00/6.57 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X0,X1,X3)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X0,X2,X3)
% 6.00/6.57 | ~ class_Orderings_Olinorder(X3) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7397]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_961,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3618_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7395,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_961]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7396,plain,
% 6.00/6.57 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X0,X2,X3)
% 6.00/6.57 | c_HOL_Oord__class_Oless(X0,X1,X3)
% 6.00/6.57 | ~ class_Orderings_Olinorder(X3) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7395]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_958,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 6.00/6.57 | c_lessequals(X1,X3,X0)
% 6.00/6.57 | c_lessequals(X2,X3,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3617_1) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7389,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 6.00/6.57 | c_lessequals(X1,X3,X0)
% 6.00/6.57 | c_lessequals(X2,X3,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_958]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7390,plain,
% 6.00/6.57 ( ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 6.00/6.57 | c_lessequals(X0,X3,X2)
% 6.00/6.57 | c_lessequals(X1,X3,X2)
% 6.00/6.57 | ~ class_Orderings_Olinorder(X2) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7389]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_957,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 6.00/6.57 | c_lessequals(X2,X3,X0)
% 6.00/6.57 | c_lessequals(X1,X3,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3617_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7387,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 6.00/6.57 | c_lessequals(X2,X3,X0)
% 6.00/6.57 | c_lessequals(X1,X3,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_957]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7388,plain,
% 6.00/6.57 ( ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 6.00/6.57 | c_lessequals(X1,X3,X2)
% 6.00/6.57 | c_lessequals(X0,X3,X2)
% 6.00/6.57 | ~ class_Orderings_Olinorder(X2) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7387]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_954,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 6.00/6.57 | c_lessequals(X1,X2,X0)
% 6.00/6.57 | c_lessequals(X1,X3,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3616_1) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7381,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 6.00/6.57 | c_lessequals(X1,X2,X0)
% 6.00/6.57 | c_lessequals(X1,X3,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_954]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7382,plain,
% 6.00/6.57 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 6.00/6.57 | c_lessequals(X0,X1,X3)
% 6.00/6.57 | c_lessequals(X0,X2,X3)
% 6.00/6.57 | ~ class_Orderings_Olinorder(X3) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7381]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_953,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 6.00/6.57 | c_lessequals(X1,X3,X0)
% 6.00/6.57 | c_lessequals(X1,X2,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3616_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7379,plain,
% 6.00/6.57 ( ~ class_Orderings_Olinorder(X0)
% 6.00/6.57 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 6.00/6.57 | c_lessequals(X1,X3,X0)
% 6.00/6.57 | c_lessequals(X1,X2,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_953]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7380,plain,
% 6.00/6.57 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 6.00/6.57 | c_lessequals(X0,X2,X3)
% 6.00/6.57 | c_lessequals(X0,X1,X3)
% 6.00/6.57 | ~ class_Orderings_Olinorder(X3) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7379]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_934,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.57 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Suc(X2))
% 6.00/6.57 | X1 = X3
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3608_2) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7341,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.57 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Suc(X2))
% 6.00/6.57 | X1 = X3
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_934]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7342,plain,
% 6.00/6.57 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.57 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Suc(X3))
% 6.00/6.57 | X1 = X2 ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7341]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_932,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.57 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Suc(X2))
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | X1 = X3 ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3608_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7337,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.57 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Suc(X2))
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | X1 = X3 ),
% 6.00/6.57 inference(copy,[status(esa)],[c_932]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7338,plain,
% 6.00/6.57 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.57 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Suc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X3))
% 6.00/6.57 | X2 = X1 ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7337]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_925,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3606_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7323,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_925]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7324,plain,
% 6.00/6.57 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7323]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_921,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3605_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7315,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_921]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7316,plain,
% 6.00/6.57 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7315]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_917,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3604_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7307,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_917]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7308,plain,
% 6.00/6.57 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7307]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_913,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3603_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7299,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_913]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7300,plain,
% 6.00/6.57 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7299]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_909,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3602_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7291,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_909]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7292,plain,
% 6.00/6.57 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7291]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_906,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3601_1) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7285,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_906]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7286,plain,
% 6.00/6.57 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7285]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_905,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3601_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7283,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_905]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7284,plain,
% 6.00/6.57 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7283]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_902,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3600_1) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7277,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_902]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7278,plain,
% 6.00/6.57 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7277]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_901,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3600_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7275,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_901]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7276,plain,
% 6.00/6.57 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7275]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_897,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3599_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7267,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.57 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_897]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7268,plain,
% 6.00/6.57 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.57 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7267]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_888,plain,
% 6.00/6.57 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.57 | ~ c_lessequals(X2,X3,tc_nat)
% 6.00/6.57 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),tc_nat) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3595_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7249,plain,
% 6.00/6.57 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.57 | ~ c_lessequals(X2,X3,tc_nat)
% 6.00/6.57 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),tc_nat) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_888]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7250,plain,
% 6.00/6.57 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 6.00/6.57 | ~ c_lessequals(X1,X3,tc_nat)
% 6.00/6.57 | ~ c_lessequals(X0,X2,tc_nat) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7249]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_885,plain,
% 6.00/6.57 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 6.00/6.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3594_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7243,plain,
% 6.00/6.57 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 6.00/6.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_885]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7244,plain,
% 6.00/6.57 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 6.00/6.57 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7243]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_882,plain,
% 6.00/6.57 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.57 | ~ c_lessequals(X2,X3,tc_nat)
% 6.00/6.57 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat) ),
% 6.00/6.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3593_0) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7237,plain,
% 6.00/6.57 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.57 | ~ c_lessequals(X2,X3,tc_nat)
% 6.00/6.57 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat) ),
% 6.00/6.57 inference(copy,[status(esa)],[c_882]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_7238,plain,
% 6.00/6.57 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 6.00/6.57 | ~ c_lessequals(X1,X3,tc_nat)
% 6.00/6.57 | ~ c_lessequals(X0,X2,tc_nat) ),
% 6.00/6.57 inference(rewriting,[status(thm)],[c_7237]) ).
% 6.00/6.57
% 6.00/6.57 cnf(c_830,plain,
% 6.00/6.57 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.57 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3570_2) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7133,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_830]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7134,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_7133]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_828,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3570_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7129,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_828]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7130,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_7129]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_826,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3569_2) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7125,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_826]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7126,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_7125]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_824,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3569_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7121,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_824]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7122,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_7121]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_804,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3560_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7081,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_804]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7082,plain,
% 6.00/6.58 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_7081]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_799,plain,
% 6.00/6.58 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.58 | c_lessequals(c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X0,tc_nat),tc_nat) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3558_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7071,plain,
% 6.00/6.58 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.58 | c_lessequals(c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X0,tc_nat),tc_nat) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_799]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7072,plain,
% 6.00/6.58 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),tc_nat)
% 6.00/6.58 | ~ c_lessequals(X2,X1,tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_7071]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_780,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3550_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7033,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_780]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7034,plain,
% 6.00/6.58 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X4),X1),X2)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 6.00/6.58 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_7033]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_776,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.58 | ~ c_lessequals(X3,X4,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3549_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7025,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.58 | ~ c_lessequals(X3,X4,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_776]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7026,plain,
% 6.00/6.58 ( ~ c_lessequals(X0,X1,X2)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X4),X2)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 6.00/6.58 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_7025]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_772,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3548_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7017,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_772]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7018,plain,
% 6.00/6.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.58 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_7017]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_768,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.58 | ~ c_lessequals(X3,X4,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3547_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7009,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.58 | ~ c_lessequals(X3,X4,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_768]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_7010,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 6.00/6.58 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.58 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_7009]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_754,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3542_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6981,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_754]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6982,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6981]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_742,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,tc_nat)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3539_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6957,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,tc_nat)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_742]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6958,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,tc_nat)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6957]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_738,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3538_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6949,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_738]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6950,plain,
% 6.00/6.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6949]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_726,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3535_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6925,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_726]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6926,plain,
% 6.00/6.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6925]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_710,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3531_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6893,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_710]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6894,plain,
% 6.00/6.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6893]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_698,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3528_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6869,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_698]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6870,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Omult__mono1(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6869]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_694,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3527_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6861,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_694]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6862,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6861]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_690,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3526_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6853,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_690]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6854,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6853]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_686,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.58 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3525_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6845,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.58 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_686]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6846,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | ~ c_lessequals(X3,X2,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6845]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_682,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.58 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3524_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6837,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.00/6.58 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_682]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6838,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | ~ c_lessequals(X3,X1,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6837]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_674,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3522_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6821,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_674]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6822,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6821]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_670,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3521_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6813,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_670]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6814,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | ~ c_lessequals(X3,X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6813]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_666,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3520_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6805,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_666]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6806,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6805]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_661,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.58 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3519_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6795,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.58 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_661]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6796,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6795]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_656,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.58 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3518_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6785,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.00/6.58 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_656]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6786,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6785]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_652,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.00/6.58 | X1 = X3
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3517_2) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6777,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.00/6.58 | X1 = X3
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_652]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6778,plain,
% 6.00/6.58 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3)
% 6.00/6.58 | X1 = X2 ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6777]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_650,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | X1 = X3 ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3517_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6773,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | X1 = X3 ),
% 6.00/6.58 inference(copy,[status(esa)],[c_650]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6774,plain,
% 6.00/6.58 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 6.00/6.58 | X2 = X1 ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6773]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_644,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3515_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6761,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_644]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6762,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6761]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_641,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3514_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6755,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_641]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6756,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6755]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_638,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.00/6.58 | c_lessequals(X2,X3,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3513_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6749,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.00/6.58 | c_lessequals(X2,X3,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_638]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6750,plain,
% 6.00/6.58 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.00/6.58 | c_lessequals(X2,X3,X0)
% 6.00/6.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6749]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_635,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 6.00/6.58 | c_lessequals(X1,X3,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3512_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6743,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.00/6.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 6.00/6.58 | c_lessequals(X1,X3,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_635]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6744,plain,
% 6.00/6.58 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 6.00/6.58 | c_lessequals(X1,X3,X0)
% 6.00/6.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6743]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_629,plain,
% 6.00/6.58 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 6.00/6.58 | ~ c_lessequals(X2,X1,tc_nat)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3510_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6731,plain,
% 6.00/6.58 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 6.00/6.58 | ~ c_lessequals(X2,X1,tc_nat)
% 6.00/6.58 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_629]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6732,plain,
% 6.00/6.58 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.00/6.58 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6731]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_622,plain,
% 6.00/6.58 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X1,X0,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3506_2) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6717,plain,
% 6.00/6.58 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X1,X0,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_622]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6718,plain,
% 6.00/6.58 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X0,X2,tc_nat)
% 6.00/6.58 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6717]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_609,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.58 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 6.00/6.58 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3502_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6691,plain,
% 6.00/6.58 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.00/6.58 | ~ c_lessequals(X1,X2,X0)
% 6.00/6.58 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 6.00/6.58 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_609]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6692,plain,
% 6.00/6.58 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 6.00/6.58 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 6.00/6.58 | ~ c_lessequals(X3,X4,X1)
% 6.00/6.58 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6691]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_600,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.58 | ~ class_Int_Onumber__ring(X0)
% 6.00/6.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 6.00/6.58 | X3 = X4
% 6.00/6.58 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3499_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6673,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.58 | ~ class_Int_Onumber__ring(X0)
% 6.00/6.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 6.00/6.58 | X3 = X4
% 6.00/6.58 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_600]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6674,plain,
% 6.00/6.58 ( ~ class_Int_Onumber__ring(X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oidom(X0)
% 6.00/6.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 6.00/6.58 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 6.00/6.58 | X3 = X4 ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6673]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_584,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat)
% 6.00/6.58 | c_lessequals(X1,X2,tc_nat) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3493_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6641,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat)
% 6.00/6.58 | c_lessequals(X1,X2,tc_nat) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_584]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6642,plain,
% 6.00/6.58 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 6.00/6.58 | c_lessequals(X0,X2,tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6641]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_579,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 6.00/6.58 | ~ c_lessequals(X2,X0,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X2,X1,tc_nat) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3491_2) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6631,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 6.00/6.58 | ~ c_lessequals(X2,X0,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X2,X1,tc_nat) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_579]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6632,plain,
% 6.00/6.58 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X0,X2,tc_nat)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6631]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_577,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X2,X1,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X2,X0,tc_nat)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3491_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6627,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X2,X1,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X2,X0,tc_nat)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_577]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6628,plain,
% 6.00/6.58 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.00/6.58 | ~ c_lessequals(X0,X2,tc_nat)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6627]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_564,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3486_1) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6601,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_564]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6602,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6601]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_563,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3486_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6599,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_563]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6600,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6599]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_560,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3485_1) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6593,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_560]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6594,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6593]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_559,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3485_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6591,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_559]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6592,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6591]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_555,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3484_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6583,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_555]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6584,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6583]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_551,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3483_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6575,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_551]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6576,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6575]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_547,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3482_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6567,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_547]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6568,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6567]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_543,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3481_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6559,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_543]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6560,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6559]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_517,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3470_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6507,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_517]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6508,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6507]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_513,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3469_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6499,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_513]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6500,plain,
% 6.00/6.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.58 inference(rewriting,[status(thm)],[c_6499]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_508,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),X0) ),
% 6.00/6.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3468_0) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6489,plain,
% 6.00/6.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),X0) ),
% 6.00/6.58 inference(copy,[status(esa)],[c_508]) ).
% 6.00/6.58
% 6.00/6.58 cnf(c_6490,plain,
% 6.00/6.58 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.00/6.58 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6489]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_500,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.59 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X3,tc_nat)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3466_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6473,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.59 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X3,tc_nat)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_500]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6474,plain,
% 6.00/6.59 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.00/6.59 | ~ c_lessequals(X3,X2,tc_nat)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6473]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_495,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3465_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6463,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_495]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6464,plain,
% 6.00/6.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6463]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_481,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.59 | c_lessequals(X2,X3,tc_nat) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3460_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6435,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.59 | c_lessequals(X2,X3,tc_nat) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_481]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6436,plain,
% 6.00/6.59 ( ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.59 | c_lessequals(X2,X3,tc_nat)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6435]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_473,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3458_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6419,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_473]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6420,plain,
% 6.00/6.59 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6419]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_469,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3457_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6411,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_469]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6412,plain,
% 6.00/6.59 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6411]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_465,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3456_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6403,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_465]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6404,plain,
% 6.00/6.59 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6403]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_461,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 6.00/6.59 | c_lessequals(X2,X3,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3455_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6395,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 6.00/6.59 | c_lessequals(X2,X3,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_461]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6396,plain,
% 6.00/6.59 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.00/6.59 | c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6395]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_457,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | c_lessequals(X2,X3,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3454_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6387,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | c_lessequals(X2,X3,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_457]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6388,plain,
% 6.00/6.59 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | c_lessequals(X2,X3,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6387]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_453,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | c_lessequals(X2,X3,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3453_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6379,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | c_lessequals(X2,X3,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_453]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6380,plain,
% 6.00/6.59 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | c_lessequals(X2,X3,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6379]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_449,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.59 | c_lessequals(X3,X2,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3452_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6371,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.59 | c_lessequals(X3,X2,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_449]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6372,plain,
% 6.00/6.59 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | c_lessequals(X3,X2,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6371]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_445,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3451_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6363,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_445]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6364,plain,
% 6.00/6.59 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6363]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_441,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3450_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6355,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_441]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6356,plain,
% 6.00/6.59 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6355]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_437,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3449_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6347,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_437]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6348,plain,
% 6.00/6.59 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6347]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_433,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3448_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6339,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_433]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6340,plain,
% 6.00/6.59 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6339]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_429,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3447_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6331,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_429]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6332,plain,
% 6.00/6.59 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6331]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_416,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Suc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X3)),X0)
% 6.00/6.59 | c_lessequals(X2,X1,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3443_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6305,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Suc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X3)),X0)
% 6.00/6.59 | c_lessequals(X2,X1,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_416]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6306,plain,
% 6.00/6.59 ( ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Suc(X2)),X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.59 | c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6305]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_410,plain,
% 6.00/6.59 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Suc(X2)),tc_nat)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0,tc_nat)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.59 | X2 = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3441_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6293,plain,
% 6.00/6.59 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Suc(X2)),tc_nat)
% 6.00/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0,tc_nat)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.00/6.59 | X2 = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_410]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6294,plain,
% 6.00/6.59 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X2,tc_nat)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Suc(X1)),tc_nat)
% 6.00/6.59 | X1 = c_Divides_Odiv__class_Odiv(X2,X0,tc_nat) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6293]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_398,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3435_4) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6269,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_398]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6270,plain,
% 6.00/6.59 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6269]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_396,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3435_2) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6265,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_396]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6266,plain,
% 6.00/6.59 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6265]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_394,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3435_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6261,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_394]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6262,plain,
% 6.00/6.59 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6261]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_392,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3434_4) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6257,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_392]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6258,plain,
% 6.00/6.59 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6257]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_390,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X4,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3434_2) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6253,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X4,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_390]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6254,plain,
% 6.00/6.59 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6253]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_388,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3434_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6249,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_388]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6250,plain,
% 6.00/6.59 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6249]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_386,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3433_4) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6245,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_386]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6246,plain,
% 6.00/6.59 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6245]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_384,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 6.00/6.59 | ~ c_lessequals(X3,X2,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X4,X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3433_2) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6241,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 6.00/6.59 | ~ c_lessequals(X3,X2,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X4,X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_384]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6242,plain,
% 6.00/6.59 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6241]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_382,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X4,X2,X0)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3433_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6237,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X4,X2,X0)
% 6.00/6.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_382]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6238,plain,
% 6.00/6.59 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6237]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_376,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 6.00/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3432_0) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6225,plain,
% 6.00/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.00/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X4,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 6.00/6.59 inference(copy,[status(esa)],[c_376]) ).
% 6.00/6.59
% 6.00/6.59 cnf(c_6226,plain,
% 6.00/6.59 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.00/6.59 | ~ c_lessequals(X2,X3,X0)
% 6.00/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.00/6.59 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 6.00/6.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.00/6.59 inference(rewriting,[status(thm)],[c_6225]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_370,plain,
% 6.33/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 6.33/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 6.33/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3431_0) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6213,plain,
% 6.33/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.59 | ~ c_lessequals(X1,X3,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 6.33/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0) ),
% 6.33/6.59 inference(copy,[status(esa)],[c_370]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6214,plain,
% 6.33/6.59 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.59 | ~ c_lessequals(X2,X3,X0)
% 6.33/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 6.33/6.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.33/6.59 inference(rewriting,[status(thm)],[c_6213]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_366,plain,
% 6.33/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.33/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 6.33/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3430_2) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6205,plain,
% 6.33/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.33/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 6.33/6.59 inference(copy,[status(esa)],[c_366]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6206,plain,
% 6.33/6.59 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 6.33/6.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.33/6.59 inference(rewriting,[status(thm)],[c_6205]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_364,plain,
% 6.33/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.33/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 6.33/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 6.33/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3430_0) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6201,plain,
% 6.33/6.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.33/6.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 6.33/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 6.33/6.59 inference(copy,[status(esa)],[c_364]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6202,plain,
% 6.33/6.59 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.33/6.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.33/6.59 inference(rewriting,[status(thm)],[c_6201]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_362,plain,
% 6.33/6.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.59 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 6.33/6.59 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.59 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3429_2) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6197,plain,
% 6.33/6.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.59 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 6.33/6.59 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.59 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.59 inference(copy,[status(esa)],[c_362]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6198,plain,
% 6.33/6.59 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.59 | ~ c_lessequals(X0,X2,tc_nat)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 6.33/6.59 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.59 inference(rewriting,[status(thm)],[c_6197]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_360,plain,
% 6.33/6.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.59 | ~ c_lessequals(X1,X2,tc_nat)
% 6.33/6.59 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.59 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 6.33/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3429_0) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6193,plain,
% 6.33/6.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.59 | ~ c_lessequals(X1,X2,tc_nat)
% 6.33/6.59 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.59 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 6.33/6.59 inference(copy,[status(esa)],[c_360]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6194,plain,
% 6.33/6.59 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.59 | ~ c_lessequals(X0,X2,tc_nat)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 6.33/6.59 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 6.33/6.59 inference(rewriting,[status(thm)],[c_6193]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_344,plain,
% 6.33/6.59 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X2,X0) ),
% 6.33/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3424_0) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6161,plain,
% 6.33/6.59 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X2,X0) ),
% 6.33/6.59 inference(copy,[status(esa)],[c_344]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6162,plain,
% 6.33/6.59 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 6.33/6.59 inference(rewriting,[status(thm)],[c_6161]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_340,plain,
% 6.33/6.59 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X5),X3),X2,X0) ),
% 6.33/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3423_0) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6153,plain,
% 6.33/6.59 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X5),X3),X2,X0) ),
% 6.33/6.59 inference(copy,[status(esa)],[c_340]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6154,plain,
% 6.33/6.59 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 6.33/6.59 inference(rewriting,[status(thm)],[c_6153]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_336,plain,
% 6.33/6.59 ( ~ class_Divides_Oring__div(X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 6.33/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3422_0) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6145,plain,
% 6.33/6.59 ( ~ class_Divides_Oring__div(X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0) ),
% 6.33/6.59 inference(copy,[status(esa)],[c_336]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6146,plain,
% 6.33/6.59 ( ~ class_Divides_Oring__div(X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 6.33/6.59 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 6.33/6.59 inference(rewriting,[status(thm)],[c_6145]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_322,plain,
% 6.33/6.59 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.33/6.59 | ~ class_Int_Onumber__ring(X0)
% 6.33/6.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 6.33/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3416_0) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6117,plain,
% 6.33/6.59 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.33/6.59 | ~ class_Int_Onumber__ring(X0)
% 6.33/6.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 6.33/6.59 inference(copy,[status(esa)],[c_322]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6118,plain,
% 6.33/6.59 ( ~ class_Int_Onumber__ring(X0)
% 6.33/6.59 | ~ class_Ring__and__Field_Oidom(X0)
% 6.33/6.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 6.33/6.59 inference(rewriting,[status(thm)],[c_6117]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_310,plain,
% 6.33/6.59 ( ~ hBOOL(hAPP(X0,X1))
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),c_Suc(X1)),tc_nat)
% 6.33/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),X2,tc_nat)
% 6.33/6.59 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X2,X3,tc_nat))) ),
% 6.33/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3411_0) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6093,plain,
% 6.33/6.59 ( ~ hBOOL(hAPP(X0,X1))
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),c_Suc(X1)),tc_nat)
% 6.33/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),X2,tc_nat)
% 6.33/6.59 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X2,X3,tc_nat))) ),
% 6.33/6.59 inference(copy,[status(esa)],[c_310]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6094,plain,
% 6.33/6.59 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)))
% 6.33/6.59 | ~ hBOOL(hAPP(X0,X3))
% 6.33/6.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),X1,tc_nat)
% 6.33/6.59 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),c_Suc(X3)),tc_nat) ),
% 6.33/6.59 inference(rewriting,[status(thm)],[c_6093]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_303,plain,
% 6.33/6.59 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 6.33/6.59 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3408_0) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6079,plain,
% 6.33/6.59 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 6.33/6.59 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.59 inference(copy,[status(esa)],[c_303]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6080,plain,
% 6.33/6.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 6.33/6.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.59 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.59 inference(rewriting,[status(thm)],[c_6079]) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_300,plain,
% 6.33/6.59 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 6.33/6.59 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3407_0) ).
% 6.33/6.59
% 6.33/6.59 cnf(c_6073,plain,
% 6.33/6.59 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.60 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 6.33/6.60 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_300]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_6074,plain,
% 6.33/6.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 6.33/6.60 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.60 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_6073]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_265,plain,
% 6.33/6.60 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 6.33/6.60 | ~ c_Type_Otyping(X2,X3,X1)
% 6.33/6.60 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 6.33/6.60 | ~ c_InductTermi_OIT(X4)
% 6.33/6.60 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6)
% 6.33/6.60 | ~ c_InductTermi_OIT(X3) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3391_3) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_6003,plain,
% 6.33/6.60 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 6.33/6.60 | ~ c_Type_Otyping(X2,X3,X1)
% 6.33/6.60 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 6.33/6.60 | ~ c_InductTermi_OIT(X4)
% 6.33/6.60 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6)
% 6.33/6.60 | ~ c_InductTermi_OIT(X3) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_265]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_6004,plain,
% 6.33/6.60 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 6.33/6.60 | ~ c_Type_Otyping(X0,X5,X2)
% 6.33/6.60 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 6.33/6.60 | ~ c_InductTermi_OIT(X3)
% 6.33/6.60 | ~ c_InductTermi_OIT(X5)
% 6.33/6.60 | c_Type_Otype_OFun(X6,X2) != v_T____ ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_6003]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_262,plain,
% 6.33/6.60 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 6.33/6.60 | ~ c_Type_Otyping(X2,X3,X1)
% 6.33/6.60 | ~ c_InductTermi_OIT(X3)
% 6.33/6.60 | ~ c_Type_Otyping(c_Type_Oshift(X2,X4,X1,tc_Type_Otype),X5,X6)
% 6.33/6.60 | ~ c_InductTermi_OIT(X5)
% 6.33/6.60 | c_InductTermi_OIT(c_Lambda_Osubst(X5,X3,X4)) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3391_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5997,plain,
% 6.33/6.60 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 6.33/6.60 | ~ c_Type_Otyping(X2,X3,X1)
% 6.33/6.60 | ~ c_InductTermi_OIT(X3)
% 6.33/6.60 | ~ c_Type_Otyping(c_Type_Oshift(X2,X4,X1,tc_Type_Otype),X5,X6)
% 6.33/6.60 | ~ c_InductTermi_OIT(X5)
% 6.33/6.60 | c_InductTermi_OIT(c_Lambda_Osubst(X5,X3,X4)) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_262]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5998,plain,
% 6.33/6.60 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 6.33/6.60 | ~ c_Type_Otyping(X0,X5,X2)
% 6.33/6.60 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 6.33/6.60 | ~ c_InductTermi_OIT(X5)
% 6.33/6.60 | ~ c_InductTermi_OIT(X3)
% 6.33/6.60 | c_Type_Otype_OFun(X6,X2) != v_T____ ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5997]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_259,plain,
% 6.33/6.60 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 6.33/6.60 | ~ c_Type_Otyping(X2,X3,X0)
% 6.33/6.60 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 6.33/6.60 | ~ c_InductTermi_OIT(X4)
% 6.33/6.60 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6)
% 6.33/6.60 | ~ c_InductTermi_OIT(X3) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3390_3) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5991,plain,
% 6.33/6.60 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 6.33/6.60 | ~ c_Type_Otyping(X2,X3,X0)
% 6.33/6.60 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 6.33/6.60 | ~ c_InductTermi_OIT(X4)
% 6.33/6.60 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6)
% 6.33/6.60 | ~ c_InductTermi_OIT(X3) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_259]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5992,plain,
% 6.33/6.60 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 6.33/6.60 | ~ c_Type_Otyping(X0,X5,X2)
% 6.33/6.60 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 6.33/6.60 | ~ c_InductTermi_OIT(X3)
% 6.33/6.60 | ~ c_InductTermi_OIT(X5)
% 6.33/6.60 | c_Type_Otype_OFun(X2,X6) != v_T____ ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5991]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_256,plain,
% 6.33/6.60 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 6.33/6.60 | ~ c_Type_Otyping(X2,X3,X0)
% 6.33/6.60 | ~ c_InductTermi_OIT(X3)
% 6.33/6.60 | ~ c_Type_Otyping(c_Type_Oshift(X2,X4,X0,tc_Type_Otype),X5,X6)
% 6.33/6.60 | ~ c_InductTermi_OIT(X5)
% 6.33/6.60 | c_InductTermi_OIT(c_Lambda_Osubst(X5,X3,X4)) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3390_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5985,plain,
% 6.33/6.60 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 6.33/6.60 | ~ c_Type_Otyping(X2,X3,X0)
% 6.33/6.60 | ~ c_InductTermi_OIT(X3)
% 6.33/6.60 | ~ c_Type_Otyping(c_Type_Oshift(X2,X4,X0,tc_Type_Otype),X5,X6)
% 6.33/6.60 | ~ c_InductTermi_OIT(X5)
% 6.33/6.60 | c_InductTermi_OIT(c_Lambda_Osubst(X5,X3,X4)) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_256]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5986,plain,
% 6.33/6.60 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 6.33/6.60 | ~ c_Type_Otyping(X0,X5,X2)
% 6.33/6.60 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 6.33/6.60 | ~ c_InductTermi_OIT(X5)
% 6.33/6.60 | ~ c_InductTermi_OIT(X3)
% 6.33/6.60 | c_Type_Otype_OFun(X2,X6) != v_T____ ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5985]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_253,plain,
% 6.33/6.60 ( ~ c_Type_Otyping(X0,X1,X2)
% 6.33/6.60 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 6.33/6.60 | c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3389_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5979,plain,
% 6.33/6.60 ( ~ c_Type_Otyping(X0,X1,X2)
% 6.33/6.60 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 6.33/6.60 | c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_253]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5980,plain,
% 6.33/6.60 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 6.33/6.60 | c_Type_Otyping(X0,c_Lambda_Osubst(X3,X5,X1),X4)
% 6.33/6.60 | ~ c_Type_Otyping(X0,X5,X2) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5979]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_244,plain,
% 6.33/6.60 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.33/6.60 | ~ class_Int_Onumber__ring(X0)
% 6.33/6.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 6.33/6.60 | X1 = X3
% 6.33/6.60 | X2 = X4 ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3387_1) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5961,plain,
% 6.33/6.60 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.33/6.60 | ~ class_Int_Onumber__ring(X0)
% 6.33/6.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 6.33/6.60 | X1 = X3
% 6.33/6.60 | X2 = X4 ),
% 6.33/6.60 inference(copy,[status(esa)],[c_244]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5962,plain,
% 6.33/6.60 ( ~ class_Int_Onumber__ring(X0)
% 6.33/6.60 | ~ class_Ring__and__Field_Oidom(X0)
% 6.33/6.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 6.33/6.60 | X1 = X3
% 6.33/6.60 | X2 = X4 ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5961]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_243,plain,
% 6.33/6.60 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.33/6.60 | ~ class_Int_Onumber__ring(X0)
% 6.33/6.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 6.33/6.60 | X2 = X4
% 6.33/6.60 | X1 = X3 ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3387_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5959,plain,
% 6.33/6.60 ( ~ class_Ring__and__Field_Oidom(X0)
% 6.33/6.60 | ~ class_Int_Onumber__ring(X0)
% 6.33/6.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 6.33/6.60 | X2 = X4
% 6.33/6.60 | X1 = X3 ),
% 6.33/6.60 inference(copy,[status(esa)],[c_243]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5960,plain,
% 6.33/6.60 ( ~ class_Int_Onumber__ring(X0)
% 6.33/6.60 | ~ class_Ring__and__Field_Oidom(X0)
% 6.33/6.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 6.33/6.60 | X2 = X4
% 6.33/6.60 | X1 = X3 ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5959]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_234,plain,
% 6.33/6.60 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.60 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3383_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5941,plain,
% 6.33/6.60 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.60 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_234]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5942,plain,
% 6.33/6.60 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.60 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.60 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5941]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_231,plain,
% 6.33/6.60 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.60 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3382_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5935,plain,
% 6.33/6.60 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.60 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_231]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5936,plain,
% 6.33/6.60 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.60 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.60 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5935]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_213,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)
% 6.33/6.60 | ~ c_lessequals(X0,X3,tc_nat)
% 6.33/6.60 | X2 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3374_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5899,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)
% 6.33/6.60 | ~ c_lessequals(X0,X3,tc_nat)
% 6.33/6.60 | X2 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_213]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5900,plain,
% 6.33/6.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4)
% 6.33/6.60 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5899]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_210,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)
% 6.33/6.60 | ~ c_lessequals(X3,X0,tc_nat)
% 6.33/6.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2) = X4 ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3373_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5893,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4)
% 6.33/6.60 | ~ c_lessequals(X3,X0,tc_nat)
% 6.33/6.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2) = X4 ),
% 6.33/6.60 inference(copy,[status(esa)],[c_210]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5894,plain,
% 6.33/6.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3) = X4
% 6.33/6.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5893]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_172,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.60 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 6.33/6.60 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.60 | hBOOL(hAPP(X2,X0)) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3356_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5817,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.60 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 6.33/6.60 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.60 | hBOOL(hAPP(X2,X0)) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_172]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5818,plain,
% 6.33/6.60 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),X1,tc_nat)))
% 6.33/6.60 | hBOOL(hAPP(X0,X3))
% 6.33/6.60 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 6.33/6.60 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5817]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_168,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.60 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 6.33/6.60 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.60 | hBOOL(hAPP(X2,X3)) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3355_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5809,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.60 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 6.33/6.60 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.60 | hBOOL(hAPP(X2,X3)) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_168]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5810,plain,
% 6.33/6.60 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),X1,tc_nat)))
% 6.33/6.60 | hBOOL(hAPP(X0,X2))
% 6.33/6.60 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 6.33/6.60 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5809]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_160,plain,
% 6.33/6.60 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X3,X0,tc_nat)
% 6.33/6.60 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3352_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5793,plain,
% 6.33/6.60 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X3,X0,tc_nat)
% 6.33/6.60 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_160]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5794,plain,
% 6.33/6.60 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 6.33/6.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X1,X0,tc_nat) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5793]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_157,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X0,X3,tc_nat)
% 6.33/6.60 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3351_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5787,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X0,X3,tc_nat)
% 6.33/6.60 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_157]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5788,plain,
% 6.33/6.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.60 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 6.33/6.60 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5787]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_154,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X3,X0,tc_nat)
% 6.33/6.60 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3350_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5781,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X3,X0,tc_nat)
% 6.33/6.60 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_154]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5782,plain,
% 6.33/6.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.60 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat)
% 6.33/6.60 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5781]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_130,plain,
% 6.33/6.60 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.33/6.60 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3340_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5733,plain,
% 6.33/6.60 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.33/6.60 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_130]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5734,plain,
% 6.33/6.60 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.33/6.60 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 6.33/6.60 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5733]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_127,plain,
% 6.33/6.60 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X2,X1,tc_nat)
% 6.33/6.60 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3339_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5727,plain,
% 6.33/6.60 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X2,X1,tc_nat)
% 6.33/6.60 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_127]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5728,plain,
% 6.33/6.60 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X0,X3,tc_nat) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5727]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_121,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X2,X1,tc_nat)
% 6.33/6.60 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3337_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5715,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 6.33/6.60 | ~ c_lessequals(X2,X1,tc_nat)
% 6.33/6.60 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_121]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5716,plain,
% 6.33/6.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.60 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 6.33/6.60 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5715]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_118,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 6.33/6.60 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.60 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3336_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5709,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 6.33/6.60 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.60 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_118]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5710,plain,
% 6.33/6.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.60 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat)
% 6.33/6.60 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5709]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_109,plain,
% 6.33/6.60 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 6.33/6.60 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3333_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5691,plain,
% 6.33/6.60 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 6.33/6.60 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_109]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5692,plain,
% 6.33/6.60 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 6.33/6.60 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 6.33/6.60 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5691]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_88,plain,
% 6.33/6.60 ( X0 = X1
% 6.33/6.60 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 6.33/6.60 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3323_2) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5649,plain,
% 6.33/6.60 ( X0 = X1
% 6.33/6.60 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 6.33/6.60 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_88]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_5650,plain,
% 6.33/6.60 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 6.33/6.60 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 6.33/6.60 | X3 = X4 ),
% 6.33/6.60 inference(rewriting,[status(thm)],[c_5649]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2472,negated_conjecture,
% 6.33/6.60 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2993,negated_conjecture,
% 6.33/6.60 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2472]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2997,negated_conjecture,
% 6.33/6.60 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2993]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2998,negated_conjecture,
% 6.33/6.60 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2997]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2999,negated_conjecture,
% 6.33/6.60 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2998]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10319,negated_conjecture,
% 6.33/6.60 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2999]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2471,plain,
% 6.33/6.60 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_799_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10317,plain,
% 6.33/6.60 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2471]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2470,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_800_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10315,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2470]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2469,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_801_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10313,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2469]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2457,plain,
% 6.33/6.60 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_791_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10300,plain,
% 6.33/6.60 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2457]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2451,plain,
% 6.33/6.60 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_797_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10293,plain,
% 6.33/6.60 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2451]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2449,plain,
% 6.33/6.60 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_802_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10290,plain,
% 6.33/6.60 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2449]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2448,plain,
% 6.33/6.60 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_803_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10288,plain,
% 6.33/6.60 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2448]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2441,plain,
% 6.33/6.60 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_810_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10280,plain,
% 6.33/6.60 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2441]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2439,plain,
% 6.33/6.60 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_812_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10277,plain,
% 6.33/6.60 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2439]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2429,plain,
% 6.33/6.60 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_822_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10266,plain,
% 6.33/6.60 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2429]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2420,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_831_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10256,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2420]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2418,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_833_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10252,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2418]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2416,plain,
% 6.33/6.60 ( c_fequal(X0,X0,X1) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_835_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10249,plain,
% 6.33/6.60 ( c_fequal(X0,X0,X1) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2416]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2415,plain,
% 6.33/6.60 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_836_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10247,plain,
% 6.33/6.60 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2415]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2414,plain,
% 6.33/6.60 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_837_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10245,plain,
% 6.33/6.60 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2414]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2413,plain,
% 6.33/6.60 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_838_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10243,plain,
% 6.33/6.60 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2413]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2411,plain,
% 6.33/6.60 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_840_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10240,plain,
% 6.33/6.60 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2411]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2403,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_848_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10231,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2403]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2402,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_849_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10229,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2402]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2399,plain,
% 6.33/6.60 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_852_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10225,plain,
% 6.33/6.60 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2399]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2396,plain,
% 6.33/6.60 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_855_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10220,plain,
% 6.33/6.60 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2396]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2395,plain,
% 6.33/6.60 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_856_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10218,plain,
% 6.33/6.60 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2395]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2394,plain,
% 6.33/6.60 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_857_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10216,plain,
% 6.33/6.60 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2394]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2391,plain,
% 6.33/6.60 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_860_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10212,plain,
% 6.33/6.60 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2391]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2384,plain,
% 6.33/6.60 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_867_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10204,plain,
% 6.33/6.60 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2384]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2383,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_868_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10202,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2383]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2382,plain,
% 6.33/6.60 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_869_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10200,plain,
% 6.33/6.60 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2382]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2380,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_871_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10197,plain,
% 6.33/6.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2380]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2377,plain,
% 6.33/6.60 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_874_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10192,plain,
% 6.33/6.60 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2377]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2376,plain,
% 6.33/6.60 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_875_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10190,plain,
% 6.33/6.60 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2376]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2371,plain,
% 6.33/6.60 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_880_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10184,plain,
% 6.33/6.60 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2371]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2364,plain,
% 6.33/6.60 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_887_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10176,plain,
% 6.33/6.60 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2364]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2361,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_890_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10171,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2361]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2357,plain,
% 6.33/6.60 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_894_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10165,plain,
% 6.33/6.60 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2357]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2349,plain,
% 6.33/6.60 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_902_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10155,plain,
% 6.33/6.60 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2349]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2346,plain,
% 6.33/6.60 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0)),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_905_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10151,plain,
% 6.33/6.60 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0)),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2346]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2344,plain,
% 6.33/6.60 ( c_lessequals(X0,X0,tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_907_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10147,plain,
% 6.33/6.60 ( c_lessequals(X0,X0,tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2344]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2343,plain,
% 6.33/6.60 ( X0 != c_Suc(X0) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_908_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10145,plain,
% 6.33/6.60 ( X0 != c_Suc(X0) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2343]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2342,plain,
% 6.33/6.60 ( c_Suc(X0) != X0 ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_909_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10143,plain,
% 6.33/6.60 ( c_Suc(X0) != X0 ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2342]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2341,plain,
% 6.33/6.60 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_910_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10141,plain,
% 6.33/6.60 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2341]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2340,plain,
% 6.33/6.60 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_911_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10139,plain,
% 6.33/6.60 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2340]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2338,plain,
% 6.33/6.60 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_913_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10136,plain,
% 6.33/6.60 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2338]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2335,plain,
% 6.33/6.60 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_916_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10131,plain,
% 6.33/6.60 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2335]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2333,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_918_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10127,plain,
% 6.33/6.60 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2333]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2329,plain,
% 6.33/6.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_922_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10121,plain,
% 6.33/6.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2329]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2327,plain,
% 6.33/6.60 ( class_Power_Opower(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_924_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10118,plain,
% 6.33/6.60 ( class_Power_Opower(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2327]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2326,plain,
% 6.33/6.60 ( class_Orderings_Obot(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_925_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10116,plain,
% 6.33/6.60 ( class_Orderings_Obot(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2326]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2325,plain,
% 6.33/6.60 ( class_Orderings_Oorder(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_926_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10114,plain,
% 6.33/6.60 ( class_Orderings_Oorder(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2325]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2324,plain,
% 6.33/6.60 ( class_Orderings_Olinorder(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_927_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10112,plain,
% 6.33/6.60 ( class_Orderings_Olinorder(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2324]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2323,plain,
% 6.33/6.60 ( class_Orderings_Opreorder(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_928_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10110,plain,
% 6.33/6.60 ( class_Orderings_Opreorder(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2323]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2322,plain,
% 6.33/6.60 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_929_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10108,plain,
% 6.33/6.60 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2322]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2321,plain,
% 6.33/6.60 ( class_Divides_Osemiring__div(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_930_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10106,plain,
% 6.33/6.60 ( class_Divides_Osemiring__div(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2321]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2320,plain,
% 6.33/6.60 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_931_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10104,plain,
% 6.33/6.60 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2320]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2319,plain,
% 6.33/6.60 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_932_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10102,plain,
% 6.33/6.60 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2319]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2318,plain,
% 6.33/6.60 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_933_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10100,plain,
% 6.33/6.60 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2318]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2317,plain,
% 6.33/6.60 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_934_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10098,plain,
% 6.33/6.60 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2317]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2316,plain,
% 6.33/6.60 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_935_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10096,plain,
% 6.33/6.60 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2316]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2315,plain,
% 6.33/6.60 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_936_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10094,plain,
% 6.33/6.60 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2315]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2314,plain,
% 6.33/6.60 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_937_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10092,plain,
% 6.33/6.60 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2314]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2313,plain,
% 6.33/6.60 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_938_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10090,plain,
% 6.33/6.60 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2313]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2312,plain,
% 6.33/6.60 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_939_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10088,plain,
% 6.33/6.60 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2312]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2311,plain,
% 6.33/6.60 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_940_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10086,plain,
% 6.33/6.60 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2311]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2310,plain,
% 6.33/6.60 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_941_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10084,plain,
% 6.33/6.60 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 6.33/6.60 inference(copy,[status(esa)],[c_2310]) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_2309,plain,
% 6.33/6.60 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 6.33/6.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_942_0) ).
% 6.33/6.60
% 6.33/6.60 cnf(c_10082,plain,
% 6.33/6.60 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2309]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2308,plain,
% 6.33/6.61 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_943_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10080,plain,
% 6.33/6.61 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2308]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2307,plain,
% 6.33/6.61 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_944_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10078,plain,
% 6.33/6.61 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2307]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2306,plain,
% 6.33/6.61 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_945_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10076,plain,
% 6.33/6.61 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2306]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2305,plain,
% 6.33/6.61 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_946_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10074,plain,
% 6.33/6.61 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2305]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2304,plain,
% 6.33/6.61 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_947_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10072,plain,
% 6.33/6.61 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2304]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2303,plain,
% 6.33/6.61 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_948_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10070,plain,
% 6.33/6.61 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2303]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2302,plain,
% 6.33/6.61 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_949_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10068,plain,
% 6.33/6.61 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2302]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2301,plain,
% 6.33/6.61 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_950_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10066,plain,
% 6.33/6.61 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2301]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2300,plain,
% 6.33/6.61 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_951_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10064,plain,
% 6.33/6.61 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2300]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2299,plain,
% 6.33/6.61 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_952_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10062,plain,
% 6.33/6.61 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2299]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2298,plain,
% 6.33/6.61 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_953_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10060,plain,
% 6.33/6.61 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2298]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2297,plain,
% 6.33/6.61 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_954_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10058,plain,
% 6.33/6.61 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2297]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2296,plain,
% 6.33/6.61 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_955_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10056,plain,
% 6.33/6.61 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2296]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2295,plain,
% 6.33/6.61 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_956_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10054,plain,
% 6.33/6.61 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2295]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2294,plain,
% 6.33/6.61 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_957_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10052,plain,
% 6.33/6.61 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2294]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2293,plain,
% 6.33/6.61 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_958_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10050,plain,
% 6.33/6.61 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2293]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2292,plain,
% 6.33/6.61 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_959_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10048,plain,
% 6.33/6.61 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2292]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2291,plain,
% 6.33/6.61 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_960_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10046,plain,
% 6.33/6.61 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2291]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2290,plain,
% 6.33/6.61 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_961_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10044,plain,
% 6.33/6.61 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2290]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2286,plain,
% 6.33/6.61 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_965_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10039,plain,
% 6.33/6.61 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2286]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2285,plain,
% 6.33/6.61 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_966_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10037,plain,
% 6.33/6.61 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2285]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2282,plain,
% 6.33/6.61 ( c_InductTermi_OIT(v_u____) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_969_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10033,plain,
% 6.33/6.61 ( c_InductTermi_OIT(v_u____) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2282]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2278,plain,
% 6.33/6.61 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_973_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10028,plain,
% 6.33/6.61 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2278]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2275,plain,
% 6.33/6.61 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4099_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10023,plain,
% 6.33/6.61 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2275]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2273,plain,
% 6.33/6.61 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4098_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10019,plain,
% 6.33/6.61 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2273]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2269,plain,
% 6.33/6.61 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4096_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10011,plain,
% 6.33/6.61 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2269]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2267,plain,
% 6.33/6.61 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4095_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10007,plain,
% 6.33/6.61 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2267]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_10008,plain,
% 6.33/6.61 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_10007]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2263,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 6.33/6.61 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4093_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9999,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 6.33/6.61 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2263]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2261,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 6.33/6.61 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4092_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9995,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 6.33/6.61 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2261]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2259,plain,
% 6.33/6.61 ( ~ class_Orderings_Obot(X0) | class_Orderings_Obot(tc_fun(X1,X0)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4091_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9991,plain,
% 6.33/6.61 ( ~ class_Orderings_Obot(X0) | class_Orderings_Obot(tc_fun(X1,X0)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2259]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9992,plain,
% 6.33/6.61 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9991]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2257,plain,
% 6.33/6.61 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oorder(tc_fun(X1,X0)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4090_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9987,plain,
% 6.33/6.61 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oorder(tc_fun(X1,X0)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2257]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9988,plain,
% 6.33/6.61 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9987]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2255,plain,
% 6.33/6.61 ( ~ class_Orderings_Opreorder(X0)
% 6.33/6.61 | class_Orderings_Opreorder(tc_fun(X1,X0)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4089_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9983,plain,
% 6.33/6.61 ( ~ class_Orderings_Opreorder(X0)
% 6.33/6.61 | class_Orderings_Opreorder(tc_fun(X1,X0)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2255]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9984,plain,
% 6.33/6.61 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 6.33/6.61 | ~ class_Orderings_Opreorder(X1) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9983]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2253,plain,
% 6.33/6.61 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4088_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9979,plain,
% 6.33/6.61 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2253]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9980,plain,
% 6.33/6.61 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9979]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2251,plain,
% 6.33/6.61 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X0 = X2 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4087_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9975,plain,
% 6.33/6.61 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X0 = X2 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2251]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2249,plain,
% 6.33/6.61 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X1 = X3 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4086_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9971,plain,
% 6.33/6.61 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X1 = X3 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2249]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2247,plain,
% 6.33/6.61 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.61 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4085_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9967,plain,
% 6.33/6.61 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.61 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2247]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9968,plain,
% 6.33/6.61 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 6.33/6.61 | ~ c_Lambda_Obeta(X0,X1) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9967]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2244,plain,
% 6.33/6.61 ( ~ class_Nat_Osemiring__char__0(X0)
% 6.33/6.61 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 6.33/6.61 | X1 = X2 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4084_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9961,plain,
% 6.33/6.61 ( ~ class_Nat_Osemiring__char__0(X0)
% 6.33/6.61 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 6.33/6.61 | X1 = X2 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2244]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2242,plain,
% 6.33/6.61 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4083_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9957,plain,
% 6.33/6.61 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2242]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2240,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4082_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9953,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2240]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2238,plain,
% 6.33/6.61 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4081_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9949,plain,
% 6.33/6.61 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2238]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9950,plain,
% 6.33/6.61 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9949]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2236,plain,
% 6.33/6.61 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4080_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9945,plain,
% 6.33/6.61 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2236]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9946,plain,
% 6.33/6.61 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9945]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2234,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4079_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9941,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2234]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2232,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4078_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9937,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2232]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2230,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4077_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9933,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2230]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2228,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 6.33/6.61 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4076_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9929,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 6.33/6.61 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2228]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2224,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 6.33/6.61 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4074_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9921,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 6.33/6.61 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2224]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2222,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4073_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9917,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2222]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2220,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4072_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9913,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2220]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2218,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4071_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9909,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2218]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2216,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4070_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9905,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2216]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2214,plain,
% 6.33/6.61 ( ~ class_Power_Opower(X0)
% 6.33/6.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4069_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9901,plain,
% 6.33/6.61 ( ~ class_Power_Opower(X0)
% 6.33/6.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2214]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2212,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4068_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9897,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2212]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2210,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4067_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9893,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2210]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2208,plain,
% 6.33/6.61 ( ~ class_Orderings_Obot(X0)
% 6.33/6.61 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4066_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9889,plain,
% 6.33/6.61 ( ~ class_Orderings_Obot(X0)
% 6.33/6.61 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2208]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9890,plain,
% 6.33/6.61 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 6.33/6.61 | ~ class_Orderings_Obot(X0) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9889]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2206,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4065_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9885,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2206]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2204,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 6.33/6.61 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4064_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9881,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 6.33/6.61 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2204]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2202,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4063_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9877,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2202]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2200,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4062_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9873,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2200]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2198,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4061_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9869,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2198]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2196,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4060_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9865,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2196]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2193,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4059_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9859,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2193]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2191,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4058_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9855,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2191]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2189,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4057_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9851,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2189]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2187,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4056_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9847,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2187]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2185,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4055_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9843,plain,
% 6.33/6.61 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.61 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2185]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2181,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4053_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9835,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2181]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2179,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4052_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9831,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2179]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2177,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4051_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9827,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2177]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2173,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4049_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9819,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2173]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2171,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4048_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9815,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2171]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2169,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4047_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9811,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2169]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2161,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.61 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4044_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9795,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.61 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2161]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9796,plain,
% 6.33/6.61 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9795]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2159,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.61 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4043_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9791,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.61 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2159]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9792,plain,
% 6.33/6.61 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9791]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2155,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4041_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9783,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2155]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2153,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4040_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9779,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2153]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2151,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4039_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9775,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2151]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2149,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4038_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9771,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2149]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2145,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4036_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9763,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2145]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2143,plain,
% 6.33/6.61 ( ~ class_Power_Opower(X0)
% 6.33/6.61 | c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4035_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9759,plain,
% 6.33/6.61 ( ~ class_Power_Opower(X0)
% 6.33/6.61 | c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2143]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2141,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4034_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9755,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2141]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2139,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4033_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9751,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2139]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2137,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4032_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9747,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2137]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2135,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4031_1) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9743,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2135]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2134,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4031_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9741,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2134]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2125,plain,
% 6.33/6.61 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4028_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9723,plain,
% 6.33/6.61 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2125]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2123,plain,
% 6.33/6.61 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.61 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4027_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9719,plain,
% 6.33/6.61 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.61 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2123]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9720,plain,
% 6.33/6.61 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 6.33/6.61 | ~ c_Lambda_Obeta(X0,X2) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9719]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2115,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4024_1) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9703,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2115]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2114,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4024_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9701,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2114]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2112,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4023_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9697,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2112]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2110,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4022_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9693,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2110]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2108,plain,
% 6.33/6.61 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4021_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9689,plain,
% 6.33/6.61 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2108]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2106,plain,
% 6.33/6.61 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4020_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9685,plain,
% 6.33/6.61 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2106]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9686,plain,
% 6.33/6.61 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9685]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2104,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4019_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9681,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2104]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9682,plain,
% 6.33/6.61 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9681]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2102,plain,
% 6.33/6.61 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4018_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9677,plain,
% 6.33/6.61 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2102]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9678,plain,
% 6.33/6.61 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9677]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2098,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.61 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4016_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9669,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.61 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2098]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9670,plain,
% 6.33/6.61 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 6.33/6.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9669]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2096,plain,
% 6.33/6.61 ( ~ c_InductTermi_OIT(X0)
% 6.33/6.61 | c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4015_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9665,plain,
% 6.33/6.61 ( ~ c_InductTermi_OIT(X0)
% 6.33/6.61 | c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2096]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9666,plain,
% 6.33/6.61 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 6.33/6.61 | ~ c_InductTermi_OIT(X0) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9665]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2087,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4012_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9647,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2087]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9648,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9647]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2084,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4011_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9641,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2084]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2079,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4009_1) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9631,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2079]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2078,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4009_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9629,plain,
% 6.33/6.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 6.33/6.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2078]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2069,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4007_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9611,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2069]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2066,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4006_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9605,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2066]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2063,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 6.33/6.61 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = X2 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4005_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9599,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 6.33/6.61 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = X2 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2063]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2060,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 6.33/6.61 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = X2 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4004_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9593,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 6.33/6.61 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = X2 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2060]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2053,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4002_1) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9579,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2053]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2052,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4002_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9577,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2052]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2045,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4000_1) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9563,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2045]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2044,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4000_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9561,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2044]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2042,plain,
% 6.33/6.61 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3999_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9557,plain,
% 6.33/6.61 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2042]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2040,plain,
% 6.33/6.61 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3998_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9553,plain,
% 6.33/6.61 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2040]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2038,plain,
% 6.33/6.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.61 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3997_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9549,plain,
% 6.33/6.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.61 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2038]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2028,plain,
% 6.33/6.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.61 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 6.33/6.61 | X1 = X0 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3994_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9529,plain,
% 6.33/6.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.61 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 6.33/6.61 | X1 = X0 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2028]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2026,plain,
% 6.33/6.61 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3993_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9525,plain,
% 6.33/6.61 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2026]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2022,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3991_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9517,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2022]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2018,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3989_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9509,plain,
% 6.33/6.61 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2018]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2016,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3988_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9505,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2016]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2014,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.61 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3987_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9501,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.61 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2014]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9502,plain,
% 6.33/6.61 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9501]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2012,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.61 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3986_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9497,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.61 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2012]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9498,plain,
% 6.33/6.61 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9497]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2010,plain,
% 6.33/6.61 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.33/6.61 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3985_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9493,plain,
% 6.33/6.61 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.33/6.61 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2010]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2006,plain,
% 6.33/6.61 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3983_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9485,plain,
% 6.33/6.61 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2006]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2004,plain,
% 6.33/6.61 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 6.33/6.61 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3982_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9481,plain,
% 6.33/6.61 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 6.33/6.61 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2004]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2002,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3981_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9477,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2002]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_2000,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3980_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9473,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_2000]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1997,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_lessequals(X1,X2,X0)
% 6.33/6.61 | c_lessequals(X2,X1,X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3979_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9467,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_lessequals(X1,X2,X0)
% 6.33/6.61 | c_lessequals(X2,X1,X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1997]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9468,plain,
% 6.33/6.61 ( c_lessequals(X0,X1,X2)
% 6.33/6.61 | c_lessequals(X1,X0,X2)
% 6.33/6.61 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9467]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1988,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 6.33/6.61 | c_lessequals(X1,X1,X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3976_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9449,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 6.33/6.61 | c_lessequals(X1,X1,X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1988]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9450,plain,
% 6.33/6.61 ( c_lessequals(X0,X0,X1)
% 6.33/6.61 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 6.33/6.61 | ~ class_Orderings_Olinorder(X1) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9449]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1985,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.61 | c_lessequals(X2,X1,X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3975_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9443,plain,
% 6.33/6.61 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.61 | c_lessequals(X2,X1,X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1985]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9444,plain,
% 6.33/6.61 ( c_lessequals(X0,X1,X2)
% 6.33/6.61 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 6.33/6.61 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9443]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1983,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3974_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9439,plain,
% 6.33/6.61 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 6.33/6.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1983]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1981,plain,
% 6.33/6.61 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 6.33/6.61 | X0 = X2 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3973_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9435,plain,
% 6.33/6.61 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 6.33/6.61 | X0 = X2 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1981]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1979,plain,
% 6.33/6.61 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 6.33/6.61 | X1 = X3 ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3972_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9431,plain,
% 6.33/6.61 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 6.33/6.61 | X1 = X3 ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1979]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1942,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0))) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3963_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9357,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0))) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1942]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9358,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9357]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1939,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0))) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3962_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9351,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0))) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1939]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9352,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9351]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1936,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0))) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3961_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9345,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0))) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1936]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9346,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9345]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1933,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0))) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3960_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9339,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0))) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1933]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9340,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9339]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1930,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1))
% 6.33/6.61 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3959_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9333,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1))
% 6.33/6.61 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1930]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9334,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9333]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1927,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0))) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3958_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9327,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0))) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1927]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9328,plain,
% 6.33/6.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.61 | hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 6.33/6.61 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9327]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1925,plain,
% 6.33/6.61 ( ~ c_InductTermi_OIT(X0)
% 6.33/6.61 | c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2)) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3957_0) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9323,plain,
% 6.33/6.61 ( ~ c_InductTermi_OIT(X0)
% 6.33/6.61 | c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2)) ),
% 6.33/6.61 inference(copy,[status(esa)],[c_1925]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_9324,plain,
% 6.33/6.61 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 6.33/6.61 | ~ c_InductTermi_OIT(X0) ),
% 6.33/6.61 inference(rewriting,[status(thm)],[c_9323]) ).
% 6.33/6.61
% 6.33/6.61 cnf(c_1923,plain,
% 6.33/6.61 ( c_Nitpick_Onat__gcd(X0,c_Divides_Odiv__class_Omod(X1,X0,tc_nat)) = c_Nitpick_Onat__gcd(X1,X0)
% 6.33/6.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3956_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9319,plain,
% 6.33/6.62 ( c_Nitpick_Onat__gcd(X0,c_Divides_Odiv__class_Omod(X1,X0,tc_nat)) = c_Nitpick_Onat__gcd(X1,X0)
% 6.33/6.62 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1923]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1919,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3954_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9311,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1919]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9312,plain,
% 6.33/6.62 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9311]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1917,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3953_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9307,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1917]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1908,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | X0 = X1 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3950_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9289,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | X0 = X1 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1908]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1906,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3949_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9285,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1906]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1904,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3948_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9281,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1904]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1902,plain,
% 6.33/6.62 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.62 | c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3947_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9277,plain,
% 6.33/6.62 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.62 | c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1902]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9278,plain,
% 6.33/6.62 ( c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9277]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1900,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3946_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9273,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1900]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9274,plain,
% 6.33/6.62 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9273]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1898,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3945_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9269,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1898]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9270,plain,
% 6.33/6.62 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9269]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1896,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X0,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3944_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9265,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X0,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1896]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1894,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3943_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9261,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1894]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1890,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3941_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9253,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1890]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9254,plain,
% 6.33/6.62 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9253]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1888,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3940_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9249,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1888]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9250,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 6.33/6.62 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9249]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1886,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3939_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9245,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1886]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1884,plain,
% 6.33/6.62 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3938_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9241,plain,
% 6.33/6.62 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1884]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1882,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3937_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9237,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1882]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9238,plain,
% 6.33/6.62 ( c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9237]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1878,plain,
% 6.33/6.62 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3935_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9229,plain,
% 6.33/6.62 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1878]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1874,plain,
% 6.33/6.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 6.33/6.62 | X0 = X2 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3933_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9221,plain,
% 6.33/6.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 6.33/6.62 | X0 = X2 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1874]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1872,plain,
% 6.33/6.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 6.33/6.62 | X1 = X2 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3932_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9217,plain,
% 6.33/6.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 6.33/6.62 | X1 = X2 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1872]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1869,plain,
% 6.33/6.62 ( ~ class_Orderings_Opreorder(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.62 | c_lessequals(X1,X2,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3931_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9211,plain,
% 6.33/6.62 ( ~ class_Orderings_Opreorder(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.62 | c_lessequals(X1,X2,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1869]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9212,plain,
% 6.33/6.62 ( c_lessequals(X0,X1,X2)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.33/6.62 | ~ class_Orderings_Opreorder(X2) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9211]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1866,plain,
% 6.33/6.62 ( ~ class_Orderings_Oorder(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.62 | c_lessequals(X1,X2,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3930_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9205,plain,
% 6.33/6.62 ( ~ class_Orderings_Oorder(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.62 | c_lessequals(X1,X2,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1866]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9206,plain,
% 6.33/6.62 ( c_lessequals(X0,X1,X2)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.33/6.62 | ~ class_Orderings_Oorder(X2) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9205]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1864,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3929_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9201,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1864]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1862,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3928_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9197,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1862]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1853,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | X1 = X0
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3925_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9179,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | X1 = X0
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1853]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9180,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | X1 = X0 ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9179]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1850,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | X0 = X1
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3924_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9173,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | X0 = X1
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1850]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9174,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | X0 = X1 ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9173]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1836,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3919_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9145,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1836]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9146,plain,
% 6.33/6.62 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 6.33/6.62 | ~ c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9145]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1832,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3917_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9137,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1832]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9138,plain,
% 6.33/6.62 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9137]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1823,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1))
% 6.33/6.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3914_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9119,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1))
% 6.33/6.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1823]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1785,plain,
% 6.33/6.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 6.33/6.62 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.62 | X1 = X2 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3904_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9043,plain,
% 6.33/6.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 6.33/6.62 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.62 | X1 = X2 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1785]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1782,plain,
% 6.33/6.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)
% 6.33/6.62 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.62 | X0 = X2 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3903_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9037,plain,
% 6.33/6.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)
% 6.33/6.62 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.62 | X0 = X2 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1782]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1776,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,X1))
% 6.33/6.62 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0)))) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3901_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9025,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,X1))
% 6.33/6.62 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0)))) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1776]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9026,plain,
% 6.33/6.62 ( hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))))
% 6.33/6.62 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9025]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1773,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | X0 = c_Suc(X1)
% 6.33/6.62 | c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3900_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9019,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | X0 = c_Suc(X1)
% 6.33/6.62 | c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1773]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9020,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | X0 = c_Suc(X1) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_9019]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1768,plain,
% 6.33/6.62 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 6.33/6.62 | c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3898_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9009,plain,
% 6.33/6.62 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 6.33/6.62 | c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1768]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1766,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3897_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_9005,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1766]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1761,plain,
% 6.33/6.62 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.62 | c_Type_Otyping(X2,X1,X3)
% 6.33/6.62 | ~ c_Type_Otyping(X2,X0,X3) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3895_1) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8995,plain,
% 6.33/6.62 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.62 | c_Type_Otyping(X2,X1,X3)
% 6.33/6.62 | ~ c_Type_Otyping(X2,X0,X3) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1761]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8996,plain,
% 6.33/6.62 ( c_Type_Otyping(X0,X1,X2)
% 6.33/6.62 | ~ c_Type_Otyping(X0,X3,X2)
% 6.33/6.62 | ~ c_Lambda_Obeta(X3,X1) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8995]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1758,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 6.33/6.62 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3894_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8989,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 6.33/6.62 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1758]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1755,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,X1))
% 6.33/6.62 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 6.33/6.62 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3893_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8983,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,X1))
% 6.33/6.62 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 6.33/6.62 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1755]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8984,plain,
% 6.33/6.62 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8983]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1753,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3892_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8979,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1753]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1751,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3891_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8975,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1751]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1749,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3890_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8971,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1749]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8972,plain,
% 6.33/6.62 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 6.33/6.62 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8971]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1747,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3889_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8967,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1747]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8968,plain,
% 6.33/6.62 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 6.33/6.62 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8967]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1745,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3888_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8963,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1745]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8964,plain,
% 6.33/6.62 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 6.33/6.62 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8963]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1743,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3887_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8959,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1743]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8960,plain,
% 6.33/6.62 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 6.33/6.62 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8959]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1741,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3886_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8955,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1741]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1739,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3885_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8951,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1739]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1736,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3884_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8945,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1736]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1734,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3883_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8941,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1734]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8942,plain,
% 6.33/6.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0)
% 6.33/6.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8941]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1731,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = X2
% 6.33/6.62 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3882_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8935,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = X2
% 6.33/6.62 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1731]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1728,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 6.33/6.62 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3881_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8929,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 6.33/6.62 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1728]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1726,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3880_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8925,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1726]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1723,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 6.33/6.62 | X1 = X3 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3879_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8919,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 6.33/6.62 | X1 = X3 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1723]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1720,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 6.33/6.62 | X2 = X3 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3878_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8913,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 6.33/6.62 | X2 = X3 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1720]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1717,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 6.33/6.62 | X2 = X3 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3877_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8907,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 6.33/6.62 | X2 = X3 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1717]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1715,plain,
% 6.33/6.62 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3876_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8903,plain,
% 6.33/6.62 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1715]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1713,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3875_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8899,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1713]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8900,plain,
% 6.33/6.62 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 6.33/6.62 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8899]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1710,plain,
% 6.33/6.62 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.62 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.62 | X1 = X0 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3874_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8893,plain,
% 6.33/6.62 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.62 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.62 | X1 = X0 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1710]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1708,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3873_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8889,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1708]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8890,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8889]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1706,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3872_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8885,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1706]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8886,plain,
% 6.33/6.62 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8885]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1703,plain,
% 6.33/6.62 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 6.33/6.62 | X1 = X4
% 6.33/6.62 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3871_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8879,plain,
% 6.33/6.62 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 6.33/6.62 | X1 = X4
% 6.33/6.62 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1703]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8880,plain,
% 6.33/6.62 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 6.33/6.62 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.62 | X1 = X4 ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8879]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1694,plain,
% 6.33/6.62 ( ~ class_Orderings_Opreorder(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3868_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8861,plain,
% 6.33/6.62 ( ~ class_Orderings_Opreorder(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1694]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8862,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 6.33/6.62 | ~ class_Orderings_Opreorder(X2) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8861]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1691,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3867_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8855,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1691]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8856,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 6.33/6.62 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8855]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1688,plain,
% 6.33/6.62 ( ~ class_Orderings_Oorder(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3866_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8849,plain,
% 6.33/6.62 ( ~ class_Orderings_Oorder(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1688]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8850,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 6.33/6.62 | ~ class_Orderings_Oorder(X2) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8849]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1679,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.62 | ~ c_lessequals(X2,X1,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3863_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8831,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.62 | ~ c_lessequals(X2,X1,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1679]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8832,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,X2)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 6.33/6.62 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8831]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1674,plain,
% 6.33/6.62 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.62 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3861_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8821,plain,
% 6.33/6.62 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.62 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1674]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8822,plain,
% 6.33/6.62 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 6.33/6.62 | ~ c_Lambda_Obeta(X0,X2) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8821]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1672,plain,
% 6.33/6.62 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.62 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3860_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8817,plain,
% 6.33/6.62 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.62 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1672]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8818,plain,
% 6.33/6.62 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 6.33/6.62 | ~ c_Lambda_Obeta(X1,X2) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8817]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1665,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 6.33/6.62 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 6.33/6.62 | X2 = X3 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3858_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8803,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 6.33/6.62 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 6.33/6.62 | X2 = X3 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1665]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1662,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 6.33/6.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 6.33/6.62 | X1 = X2 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3857_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8797,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 6.33/6.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 6.33/6.62 | X1 = X2 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1662]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1645,plain,
% 6.33/6.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2)
% 6.33/6.62 | X1 = X2 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3852_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8763,plain,
% 6.33/6.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2)
% 6.33/6.62 | X1 = X2 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1645]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1641,plain,
% 6.33/6.62 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 6.33/6.62 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 6.33/6.62 | X2 = X1
% 6.33/6.62 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3851_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8755,plain,
% 6.33/6.62 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 6.33/6.62 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 6.33/6.62 | X2 = X1
% 6.33/6.62 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1641]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8756,plain,
% 6.33/6.62 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 6.33/6.62 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 6.33/6.62 | X2 = X1 ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8755]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1638,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xlexn__Xinduct__1(X0))))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3850_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8749,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xlexn__Xinduct__1(X0))))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1638]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1635,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3849_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8743,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1635]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1632,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3848_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8737,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1632]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1629,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3847_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8731,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1629]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1626,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3846_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8725,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1626]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1623,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3845_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8719,plain,
% 6.33/6.62 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 6.33/6.62 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.62 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1623]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1620,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3844_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8713,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1620]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8714,plain,
% 6.33/6.62 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 6.33/6.62 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8713]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1617,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.62 | ~ c_lessequals(X1,X2,tc_nat)
% 6.33/6.62 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3843_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8707,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.62 | ~ c_lessequals(X1,X2,tc_nat)
% 6.33/6.62 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1617]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8708,plain,
% 6.33/6.62 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 6.33/6.62 | ~ c_lessequals(X0,X2,tc_nat)
% 6.33/6.62 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8707]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1614,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 6.33/6.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3842_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8701,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 6.33/6.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1614]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8702,plain,
% 6.33/6.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 6.33/6.62 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8701]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1608,plain,
% 6.33/6.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 6.33/6.62 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3840_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8689,plain,
% 6.33/6.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 6.33/6.62 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1608]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8690,plain,
% 6.33/6.62 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8689]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1606,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3839_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8685,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1606]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8686,plain,
% 6.33/6.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 6.33/6.62 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8685]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1604,plain,
% 6.33/6.62 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0))
% 6.33/6.62 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3838_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8681,plain,
% 6.33/6.62 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0))
% 6.33/6.62 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1604]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8682,plain,
% 6.33/6.62 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8681]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1598,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3836_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8669,plain,
% 6.33/6.62 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1598]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1596,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3835_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8665,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1596]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1594,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3834_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8661,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1594]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1588,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3831_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8649,plain,
% 6.33/6.62 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1588]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1586,plain,
% 6.33/6.62 ( ~ class_Power_Opower(X0)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3830_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8645,plain,
% 6.33/6.62 ( ~ class_Power_Opower(X0)
% 6.33/6.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1586]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1585,plain,
% 6.33/6.62 ( c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | ~ c_lessequals(X0,X2,tc_nat)
% 6.33/6.62 | ~ c_lessequals(X2,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3829_2) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8643,plain,
% 6.33/6.62 ( c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | ~ c_lessequals(X0,X2,tc_nat)
% 6.33/6.62 | ~ c_lessequals(X2,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1585]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1584,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_lessequals(X2,X1,tc_nat)
% 6.33/6.62 | ~ c_lessequals(X2,X0,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3829_1) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8641,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_lessequals(X2,X1,tc_nat)
% 6.33/6.62 | ~ c_lessequals(X2,X0,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1584]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1583,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | ~ c_lessequals(X2,X0,tc_nat)
% 6.33/6.62 | c_lessequals(X2,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3829_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8639,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | ~ c_lessequals(X2,X0,tc_nat)
% 6.33/6.62 | c_lessequals(X2,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1583]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1581,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.62 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3828_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8635,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.62 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1581]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1579,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3827_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8631,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1579]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1577,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3826_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8627,plain,
% 6.33/6.62 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.62 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1577]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1575,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3825_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8623,plain,
% 6.33/6.62 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.62 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1575]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1574,plain,
% 6.33/6.62 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3824_2) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8621,plain,
% 6.33/6.62 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1574]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1566,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3821_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8605,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1566]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8606,plain,
% 6.33/6.62 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 6.33/6.62 | ~ c_lessequals(X0,X1,tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8605]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1564,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3820_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8601,plain,
% 6.33/6.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.62 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1564]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8602,plain,
% 6.33/6.62 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 6.33/6.62 | ~ c_lessequals(X0,X2,tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8601]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1558,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3817_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8589,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1558]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8590,plain,
% 6.33/6.62 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8589]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1556,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3816_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8585,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.62 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1556]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8586,plain,
% 6.33/6.62 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 6.33/6.62 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.62 inference(rewriting,[status(thm)],[c_8585]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1545,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.62 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3812_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8563,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.62 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1545]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1543,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.62 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1 ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3811_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8559,plain,
% 6.33/6.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.62 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1 ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1543]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1541,plain,
% 6.33/6.62 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 6.33/6.62 | c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3810_0) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8555,plain,
% 6.33/6.62 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 6.33/6.62 | c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1541]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_1531,plain,
% 6.33/6.62 ( ~ class_Orderings_Opreorder(X0)
% 6.33/6.62 | c_lessequals(X1,X2,X0)
% 6.33/6.62 | ~ c_lessequals(X1,X3,X0)
% 6.33/6.62 | ~ c_lessequals(X3,X2,X0) ),
% 6.33/6.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3807_2) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8535,plain,
% 6.33/6.62 ( ~ class_Orderings_Opreorder(X0)
% 6.33/6.62 | c_lessequals(X1,X2,X0)
% 6.33/6.62 | ~ c_lessequals(X1,X3,X0)
% 6.33/6.62 | ~ c_lessequals(X3,X2,X0) ),
% 6.33/6.62 inference(copy,[status(esa)],[c_1531]) ).
% 6.33/6.62
% 6.33/6.62 cnf(c_8536,plain,
% 6.33/6.62 ( c_lessequals(X0,X1,X2)
% 6.33/6.62 | ~ c_lessequals(X0,X3,X2)
% 6.33/6.62 | ~ c_lessequals(X3,X1,X2)
% 6.33/6.63 | ~ class_Orderings_Opreorder(X2) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8535]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1519,plain,
% 6.33/6.63 ( ~ class_Orderings_Oorder(X0)
% 6.33/6.63 | c_lessequals(X1,X2,X0)
% 6.33/6.63 | ~ c_lessequals(X3,X2,X0)
% 6.33/6.63 | ~ c_lessequals(X1,X3,X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3804_2) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8511,plain,
% 6.33/6.63 ( ~ class_Orderings_Oorder(X0)
% 6.33/6.63 | c_lessequals(X1,X2,X0)
% 6.33/6.63 | ~ c_lessequals(X3,X2,X0)
% 6.33/6.63 | ~ c_lessequals(X1,X3,X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1519]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8512,plain,
% 6.33/6.63 ( c_lessequals(X0,X1,X2)
% 6.33/6.63 | ~ c_lessequals(X3,X1,X2)
% 6.33/6.63 | ~ c_lessequals(X0,X3,X2)
% 6.33/6.63 | ~ class_Orderings_Oorder(X2) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8511]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1515,plain,
% 6.33/6.63 ( ~ class_Orderings_Oorder(X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3803_2) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8503,plain,
% 6.33/6.63 ( ~ class_Orderings_Oorder(X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1515]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8504,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.33/6.63 | ~ class_Orderings_Oorder(X2) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8503]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1511,plain,
% 6.33/6.63 ( ~ class_Orderings_Opreorder(X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3802_2) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8495,plain,
% 6.33/6.63 ( ~ class_Orderings_Opreorder(X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1511]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8496,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 6.33/6.63 | ~ class_Orderings_Opreorder(X2) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8495]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1507,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3801_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8487,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1507]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1505,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3800_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8483,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1505]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8484,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8483]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1503,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3799_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8479,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1503]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8480,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8479]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1498,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3797_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8469,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1498]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8470,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8469]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1496,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3796_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8465,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1496]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1494,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3795_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8461,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1494]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1492,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3794_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8457,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1492]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1490,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3793_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8453,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1490]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8454,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8453]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1488,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | c_lessequals(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3792_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8449,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | c_lessequals(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1488]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8450,plain,
% 6.33/6.63 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8449]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1486,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3791_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8445,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1486]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1484,plain,
% 6.33/6.63 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.63 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3790_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8441,plain,
% 6.33/6.63 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.63 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1484]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8442,plain,
% 6.33/6.63 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 6.33/6.63 | ~ c_Lambda_Obeta(X0,X3) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8441]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1482,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3789_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8437,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1482]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1473,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3786_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8419,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1473]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8420,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 6.33/6.63 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8419]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1470,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3785_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8413,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1470]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8414,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.33/6.63 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8413]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1461,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3782_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8395,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1461]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8396,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 6.33/6.63 | ~ class_Orderings_Olinorder(X3) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8395]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1458,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3781_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8389,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1458]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8390,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 6.33/6.63 | ~ class_Orderings_Olinorder(X3) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8389]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1449,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.63 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3778_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8371,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.63 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1449]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8372,plain,
% 6.33/6.63 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 6.33/6.63 | ~ c_lessequals(X0,X1,X3)
% 6.33/6.63 | ~ class_Orderings_Olinorder(X3) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8371]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1446,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.63 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3777_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8365,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.63 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1446]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8366,plain,
% 6.33/6.63 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 6.33/6.63 | ~ c_lessequals(X0,X2,X3)
% 6.33/6.63 | ~ class_Orderings_Olinorder(X3) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8365]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1437,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.63 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3774_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8347,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.63 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1437]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8348,plain,
% 6.33/6.63 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 6.33/6.63 | ~ c_lessequals(X0,X3,X2)
% 6.33/6.63 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8347]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1434,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.63 | c_lessequals(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3773_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8341,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.63 | c_lessequals(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1434]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8342,plain,
% 6.33/6.63 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 6.33/6.63 | ~ c_lessequals(X1,X3,X2)
% 6.33/6.63 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8341]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1428,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3771_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8329,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1428]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1426,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 6.33/6.63 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,X0) = X2 ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3770_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8325,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 6.33/6.63 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,X0) = X2 ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1426]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1423,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3769_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8319,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1423]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8320,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 6.33/6.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8319]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1420,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.33/6.63 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.63 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3768_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8313,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.33/6.63 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.63 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1420]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8314,plain,
% 6.33/6.63 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 6.33/6.63 | ~ c_lessequals(X0,X1,X2)
% 6.33/6.63 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8313]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1418,plain,
% 6.33/6.63 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3767_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8309,plain,
% 6.33/6.63 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1418]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8310,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.63 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8309]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1416,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3766_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8305,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1416]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8306,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8305]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1413,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3765_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8299,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1413]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8300,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.63 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8299]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1410,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.33/6.63 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3764_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8293,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.33/6.63 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1410]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8294,plain,
% 6.33/6.63 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8293]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1407,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3763_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8287,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1407]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8288,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.63 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8287]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1404,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3762_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8281,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1404]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8282,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8281]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1401,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3761_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8275,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1401]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8276,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.63 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8275]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1398,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.33/6.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3760_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8269,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 6.33/6.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1398]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8270,plain,
% 6.33/6.63 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 6.33/6.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.63 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8269]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1395,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.63 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.63 | c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3759_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8263,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.63 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.63 | c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1395]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8264,plain,
% 6.33/6.63 ( c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 6.33/6.63 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.63 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8263]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1392,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3758_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8257,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1392]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8258,plain,
% 6.33/6.63 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 6.33/6.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.63 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8257]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1386,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3756_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8245,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1386]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1384,plain,
% 6.33/6.63 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat)
% 6.33/6.63 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3755_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8241,plain,
% 6.33/6.63 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat)
% 6.33/6.63 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1384]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1381,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3754_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8235,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1381]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8236,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.63 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8235]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1379,plain,
% 6.33/6.63 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.33/6.63 | c_lessequals(X0,X2,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3753_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8231,plain,
% 6.33/6.63 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.33/6.63 | c_lessequals(X0,X2,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1379]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1377,plain,
% 6.33/6.63 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.33/6.63 | c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3752_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8227,plain,
% 6.33/6.63 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.33/6.63 | c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1377]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1375,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3751_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8223,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1375]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1373,plain,
% 6.33/6.63 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3750_1) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8219,plain,
% 6.33/6.63 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1373]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8220,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8219]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1370,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3749_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8213,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1370]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1368,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3748_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8209,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1368]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1366,plain,
% 6.33/6.63 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 6.33/6.63 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3747_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8205,plain,
% 6.33/6.63 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 6.33/6.63 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1366]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1364,plain,
% 6.33/6.63 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3746_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8201,plain,
% 6.33/6.63 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1364]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1362,plain,
% 6.33/6.63 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3745_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8197,plain,
% 6.33/6.63 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1362]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1346,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3741_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8165,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1346]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1344,plain,
% 6.33/6.63 ( ~ hBOOL(hAPP(X0,X1))
% 6.33/6.63 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3740_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8161,plain,
% 6.33/6.63 ( ~ hBOOL(hAPP(X0,X1))
% 6.33/6.63 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1344]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8162,plain,
% 6.33/6.63 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 6.33/6.63 | ~ hBOOL(hAPP(X0,X1)) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8161]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1342,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3739_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8157,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1342]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1338,plain,
% 6.33/6.63 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.63 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3737_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8149,plain,
% 6.33/6.63 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.63 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1338]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1336,plain,
% 6.33/6.63 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.63 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3736_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8145,plain,
% 6.33/6.63 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.63 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1336]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1334,plain,
% 6.33/6.63 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.63 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3735_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8141,plain,
% 6.33/6.63 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.63 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1334]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1328,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3733_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8129,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1328]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1326,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3732_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8125,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1326]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1324,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3731_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8121,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1324]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1322,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3730_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8117,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1322]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1320,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3729_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8113,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1320]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1282,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.63 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3716_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8037,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.63 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1282]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1276,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3713_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8025,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1276]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8026,plain,
% 6.33/6.63 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.63 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8025]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1274,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3712_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8021,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1274]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8022,plain,
% 6.33/6.63 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 6.33/6.63 | ~ c_lessequals(X0,X2,tc_nat) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8021]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1272,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3711_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8017,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1272]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8018,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8017]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1270,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3710_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8013,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1270]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8014,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8013]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1268,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3709_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8009,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1268]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8010,plain,
% 6.33/6.63 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 6.33/6.63 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8009]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1266,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3708_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8005,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1266]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8006,plain,
% 6.33/6.63 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 6.33/6.63 | ~ c_lessequals(X0,X2,tc_nat) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_8005]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1264,plain,
% 6.33/6.63 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.63 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3707_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_8001,plain,
% 6.33/6.63 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.63 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1264]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1246,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3702_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7965,plain,
% 6.33/6.63 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1246]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1244,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3701_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7961,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1244]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1243,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3700_2) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7959,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1243]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1239,plain,
% 6.33/6.63 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 6.33/6.63 | c_Type_Otype_OFun(c_Type_Osko__Type__Xtyping__elims__3__1(X2,X0,X1),c_Type_Osko__Type__Xtyping__elims__3__2(X2,X0,X1)) = X2 ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3699_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7951,plain,
% 6.33/6.63 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 6.33/6.63 | c_Type_Otype_OFun(c_Type_Osko__Type__Xtyping__elims__3__1(X2,X0,X1),c_Type_Osko__Type__Xtyping__elims__3__2(X2,X0,X1)) = X2 ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1239]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1215,plain,
% 6.33/6.63 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.63 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 6.33/6.63 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3691_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7903,plain,
% 6.33/6.63 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.63 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 6.33/6.63 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1215]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1212,plain,
% 6.33/6.63 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.63 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 6.33/6.63 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3690_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7897,plain,
% 6.33/6.63 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.63 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 6.33/6.63 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1212]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1210,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.63 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3689_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7893,plain,
% 6.33/6.63 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.63 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1210]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1208,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3688_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7889,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1208]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1206,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3687_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7885,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1206]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1204,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3686_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7881,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1204]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1202,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3685_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7877,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1202]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1199,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3684_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7871,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1199]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1191,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3681_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7855,plain,
% 6.33/6.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.63 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1191]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1188,plain,
% 6.33/6.63 ( ~ c_Type_Otyping(X0,X1,X2)
% 6.33/6.63 | ~ c_Type_Otyping(X0,X3,c_Type_Otype_OFun(X2,X4))
% 6.33/6.63 | c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X4) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3680_0) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7849,plain,
% 6.33/6.63 ( ~ c_Type_Otyping(X0,X1,X2)
% 6.33/6.63 | ~ c_Type_Otyping(X0,X3,c_Type_Otype_OFun(X2,X4))
% 6.33/6.63 | c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X4) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1188]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7850,plain,
% 6.33/6.63 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 6.33/6.63 | ~ c_Type_Otyping(X0,X1,c_Type_Otype_OFun(X4,X3))
% 6.33/6.63 | ~ c_Type_Otyping(X0,X2,X4) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_7849]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1186,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3679_2) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7845,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1186]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7846,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 6.33/6.63 | ~ class_Orderings_Olinorder(X3) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_7845]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1174,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 6.33/6.63 | ~ c_lessequals(X1,X3,X0)
% 6.33/6.63 | ~ c_lessequals(X2,X3,X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3676_2) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7821,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 6.33/6.63 | ~ c_lessequals(X1,X3,X0)
% 6.33/6.63 | ~ c_lessequals(X2,X3,X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1174]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7822,plain,
% 6.33/6.63 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 6.33/6.63 | ~ c_lessequals(X0,X3,X2)
% 6.33/6.63 | ~ c_lessequals(X1,X3,X2)
% 6.33/6.63 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_7821]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1162,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 6.33/6.63 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.63 | ~ c_lessequals(X1,X3,X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3673_2) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7797,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 6.33/6.63 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.63 | ~ c_lessequals(X1,X3,X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1162]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7798,plain,
% 6.33/6.63 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 6.33/6.63 | ~ c_lessequals(X0,X1,X3)
% 6.33/6.63 | ~ c_lessequals(X0,X2,X3)
% 6.33/6.63 | ~ class_Orderings_Olinorder(X3) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_7797]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1158,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.33/6.63 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3672_2) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7789,plain,
% 6.33/6.63 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.63 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 6.33/6.63 inference(copy,[status(esa)],[c_1158]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_7790,plain,
% 6.33/6.63 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 6.33/6.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 6.33/6.63 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.63 inference(rewriting,[status(thm)],[c_7789]) ).
% 6.33/6.63
% 6.33/6.63 cnf(c_1154,plain,
% 6.33/6.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3671_1) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7781,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1154]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1153,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3671_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7779,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1153]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1151,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_lessequals(c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),c_Divides_Odiv__class_Odiv(X1,X2,tc_nat),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3670_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7775,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_lessequals(c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),c_Divides_Odiv__class_Odiv(X1,X2,tc_nat),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1151]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7776,plain,
% 6.33/6.64 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),tc_nat)
% 6.33/6.64 | ~ c_lessequals(X0,X2,tc_nat) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7775]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1149,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3669_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7771,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1149]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7772,plain,
% 6.33/6.64 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.64 | ~ c_lessequals(X0,X2,tc_nat) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7771]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1147,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3668_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7767,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1147]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7768,plain,
% 6.33/6.64 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 6.33/6.64 | ~ c_lessequals(X2,X1,tc_nat) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7767]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1140,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3666_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7753,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1140]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1137,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3665_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7747,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1137]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1134,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3664_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7741,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1134]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7742,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7741]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1131,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3663_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7735,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1131]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7736,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7735]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1128,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3662_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7729,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1128]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7730,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7729]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1125,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3661_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7723,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1125]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7724,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7723]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1122,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 6.33/6.64 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3660_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7717,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 6.33/6.64 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1122]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7718,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.33/6.64 | ~ c_lessequals(X2,X3,X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7717]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1119,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 6.33/6.64 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3659_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7711,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 6.33/6.64 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1119]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7712,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 6.33/6.64 | ~ c_lessequals(X1,X3,X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7711]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1116,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.33/6.64 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3658_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7705,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.33/6.64 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1116]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7706,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 6.33/6.64 | ~ c_lessequals(X2,X3,X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7705]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1113,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.33/6.64 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3657_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7699,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.33/6.64 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1113]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7700,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 6.33/6.64 | ~ c_lessequals(X1,X3,X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7699]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1088,plain,
% 6.33/6.64 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.64 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.33/6.64 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3651_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7649,plain,
% 6.33/6.64 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.64 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 6.33/6.64 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1088]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1085,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3650_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7643,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1085]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1081,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.64 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3649_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7635,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.64 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1081]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7636,plain,
% 6.33/6.64 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7635]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1073,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.64 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3647_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7619,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.64 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1073]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7620,plain,
% 6.33/6.64 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7619]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1069,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.64 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3646_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7611,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.64 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1069]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7612,plain,
% 6.33/6.64 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7611]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1065,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.64 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3645_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7603,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.64 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1065]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7604,plain,
% 6.33/6.64 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7603]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1061,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 6.33/6.64 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3644_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7595,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 6.33/6.64 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1061]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7596,plain,
% 6.33/6.64 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7595]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1057,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3643_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7587,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1057]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7588,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7587]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1053,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3642_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7579,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1053]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7580,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7579]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1043,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3640_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7559,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1043]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7560,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7559]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1039,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3639_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7551,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1039]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7552,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7551]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1037,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3638_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7547,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1037]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7548,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7547]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1011,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3632_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7495,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1011]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7496,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7495]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_1007,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3631_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7487,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_1007]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7488,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7487]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_999,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3629_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7471,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.64 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_999]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7472,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7471]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_989,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3626_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7451,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_989]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7452,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7451]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_985,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3625_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7443,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_985]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7444,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7443]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_981,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3624_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7435,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_981]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7436,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7435]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_977,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.33/6.64 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3623_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7427,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 6.33/6.64 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_977]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7428,plain,
% 6.33/6.64 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7427]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_973,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3622_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7419,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_973]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7420,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 6.33/6.64 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7419]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_971,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3621_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7415,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_971]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7416,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7415]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_969,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 6.33/6.64 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3620_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7411,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 6.33/6.64 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 6.33/6.64 inference(copy,[status(esa)],[c_969]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_949,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),c_HOL_Oone__class_Oone(X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3615_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7371,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),c_HOL_Oone__class_Oone(X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_949]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7372,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7371]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_947,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.64 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3614_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7367,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.64 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_947]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_943,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3612_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7359,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_943]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_941,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3611_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7355,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_941]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_939,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 6.33/6.64 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3610_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7351,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 6.33/6.64 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_939]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7352,plain,
% 6.33/6.64 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 6.33/6.64 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7351]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_937,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3609_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7347,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_937]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_929,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3607_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7331,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 6.33/6.64 inference(copy,[status(esa)],[c_929]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_895,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3598_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7263,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_895]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_893,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3597_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7259,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_893]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7260,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7259]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_891,plain,
% 6.33/6.64 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 6.33/6.64 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3596_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7255,plain,
% 6.33/6.64 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 6.33/6.64 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_891]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_890,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 6.33/6.64 | ~ c_lessequals(X0,X2,tc_nat)
% 6.33/6.64 | ~ c_lessequals(X1,X3,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3595_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7253,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 6.33/6.64 | ~ c_lessequals(X0,X2,tc_nat)
% 6.33/6.64 | ~ c_lessequals(X1,X3,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_890]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_887,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3594_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7247,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_887]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_884,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 6.33/6.64 | ~ c_lessequals(X0,X2,tc_nat)
% 6.33/6.64 | ~ c_lessequals(X1,X3,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3593_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7241,plain,
% 6.33/6.64 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 6.33/6.64 | ~ c_lessequals(X0,X2,tc_nat)
% 6.33/6.64 | ~ c_lessequals(X1,X3,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_884]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_870,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3589_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7213,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_870]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7214,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7213]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_867,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3588_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7207,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_867]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7208,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7207]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_862,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.64 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3586_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7197,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.64 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_862]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_860,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.64 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3585_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7193,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.64 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_860]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_854,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3582_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7181,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_854]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_852,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3581_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7177,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_852]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_850,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3580_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7173,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_850]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_844,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3577_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7161,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_844]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_842,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3576_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7157,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_842]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_840,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3575_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7153,plain,
% 6.33/6.64 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.64 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_840]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_838,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3574_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7149,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_838]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_836,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3573_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7145,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_836]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_834,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3572_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7141,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_834]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_832,plain,
% 6.33/6.64 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 6.33/6.64 | c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3571_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7137,plain,
% 6.33/6.64 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 6.33/6.64 | c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_832]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_822,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3568_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7117,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_822]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7118,plain,
% 6.33/6.64 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 6.33/6.64 | ~ c_lessequals(X2,X1,tc_nat) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7117]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_820,plain,
% 6.33/6.64 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.64 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3567_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7113,plain,
% 6.33/6.64 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.64 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_820]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_818,plain,
% 6.33/6.64 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.64 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3566_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7109,plain,
% 6.33/6.64 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.64 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_818]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_816,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3565_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7105,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_816]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_814,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3564_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7101,plain,
% 6.33/6.64 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_814]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_812,plain,
% 6.33/6.64 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 6.33/6.64 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3563_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7097,plain,
% 6.33/6.64 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 6.33/6.64 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_812]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_810,plain,
% 6.33/6.64 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.64 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3562_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7093,plain,
% 6.33/6.64 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.64 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_810]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_807,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3561_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7087,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_807]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7088,plain,
% 6.33/6.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.64 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7087]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_806,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3560_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7085,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_806]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_802,plain,
% 6.33/6.64 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 6.33/6.64 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3559_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7077,plain,
% 6.33/6.64 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 6.33/6.64 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_802]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7078,plain,
% 6.33/6.64 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.64 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7077]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_796,plain,
% 6.33/6.64 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3))
% 6.33/6.64 | X2 = X3
% 6.33/6.64 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3557_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7065,plain,
% 6.33/6.64 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3))
% 6.33/6.64 | X2 = X3
% 6.33/6.64 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_796]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7066,plain,
% 6.33/6.64 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3))
% 6.33/6.64 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 6.33/6.64 | X2 = X3 ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7065]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_794,plain,
% 6.33/6.64 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.64 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X1,X3,X0),X0) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3556_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7061,plain,
% 6.33/6.64 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.64 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X1,X3,X0),X0) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_794]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_792,plain,
% 6.33/6.64 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.64 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X3,X2,X0),X0) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3555_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7057,plain,
% 6.33/6.64 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.64 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X3,X2,X0),X0) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_792]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_790,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.33/6.64 | c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X3,X0),X2,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3554_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7053,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.33/6.64 | c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X3,X0),X2,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_790]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_788,plain,
% 6.33/6.64 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.64 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X1,X3,X0),X0) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3553_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7049,plain,
% 6.33/6.64 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.64 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X1,X3,X0),X0) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_788]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_786,plain,
% 6.33/6.64 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.64 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X3,X2,X0),X0) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X3,X0),X2,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3552_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7045,plain,
% 6.33/6.64 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.64 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X3,X2,X0),X0) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X3,X0),X2,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_786]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_784,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.33/6.64 | c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3551_0) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7041,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.33/6.64 | c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_784]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_774,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3548_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7021,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 6.33/6.64 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 6.33/6.64 inference(copy,[status(esa)],[c_774]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7022,plain,
% 6.33/6.64 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.33/6.64 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 6.33/6.64 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 6.33/6.64 inference(rewriting,[status(thm)],[c_7021]) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_770,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 6.33/6.64 | ~ c_lessequals(X1,X3,X0)
% 6.33/6.64 | ~ c_lessequals(X2,X4,X0) ),
% 6.33/6.64 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3547_2) ).
% 6.33/6.64
% 6.33/6.64 cnf(c_7013,plain,
% 6.33/6.64 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 6.33/6.64 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 6.33/6.65 | ~ c_lessequals(X1,X3,X0)
% 6.33/6.65 | ~ c_lessequals(X2,X4,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_770]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_7014,plain,
% 6.33/6.65 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 6.33/6.65 | ~ c_lessequals(X1,X3,X0)
% 6.33/6.65 | ~ c_lessequals(X2,X4,X0)
% 6.33/6.65 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_7013]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_766,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),X1,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3546_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_7005,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),X1,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_766]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_7006,plain,
% 6.33/6.65 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),X1,tc_nat)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_7005]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_763,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),c_HOL_Oone__class_Oone(X0))
% 6.33/6.65 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3545_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6999,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),c_HOL_Oone__class_Oone(X0))
% 6.33/6.65 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_763]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_760,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X2,X1,X0)),c_HOL_Oone__class_Oone(X0))
% 6.33/6.65 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3544_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6993,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X2,X1,X0)),c_HOL_Oone__class_Oone(X0))
% 6.33/6.65 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_760]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_758,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3543_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6989,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_758]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_746,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3540_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6965,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X3,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_746]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6966,plain,
% 6.33/6.65 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6965]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_722,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3534_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6917,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_722]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6918,plain,
% 6.33/6.65 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6917]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_730,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3536_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6933,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_730]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6934,plain,
% 6.33/6.65 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6933]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_702,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3529_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6877,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_702]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6878,plain,
% 6.33/6.65 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6877]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_678,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3523_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6829,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_678]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6830,plain,
% 6.33/6.65 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6829]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_663,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.33/6.65 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.65 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 6.33/6.65 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.65 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3519_2) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6799,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.33/6.65 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.65 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 6.33/6.65 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.65 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_663]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6800,plain,
% 6.33/6.65 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 6.33/6.65 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.65 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.65 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6799]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_658,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.33/6.65 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.65 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 6.33/6.65 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.65 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3518_2) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6789,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 6.33/6.65 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.65 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 6.33/6.65 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.65 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_658]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6790,plain,
% 6.33/6.65 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 6.33/6.65 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 6.33/6.65 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.65 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6789]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_647,plain,
% 6.33/6.65 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X2,tc_nat)
% 6.33/6.65 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3516_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6767,plain,
% 6.33/6.65 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X2,tc_nat)
% 6.33/6.65 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_647]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6768,plain,
% 6.33/6.65 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 6.33/6.65 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6767]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_632,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3511_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6737,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_632]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6738,plain,
% 6.33/6.65 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6737]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_627,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3509_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6727,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_627]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_623,plain,
% 6.33/6.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.65 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3507_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6719,plain,
% 6.33/6.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.65 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_623]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_620,plain,
% 6.33/6.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X0,X2,tc_nat)
% 6.33/6.65 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3506_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6713,plain,
% 6.33/6.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X0,X2,tc_nat)
% 6.33/6.65 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_620]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_617,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.65 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)))
% 6.33/6.65 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3505_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6707,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.65 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)))
% 6.33/6.65 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_617]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6708,plain,
% 6.33/6.65 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 6.33/6.65 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6707]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_615,plain,
% 6.33/6.65 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 6.33/6.65 | c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3504_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6703,plain,
% 6.33/6.65 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 6.33/6.65 | c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_615]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_613,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 6.33/6.65 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3503_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6699,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 6.33/6.65 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_613]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_610,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.33/6.65 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.65 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 6.33/6.65 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3502_1) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6693,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 6.33/6.65 | ~ c_lessequals(X1,X2,X0)
% 6.33/6.65 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 6.33/6.65 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_610]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6694,plain,
% 6.33/6.65 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 6.33/6.65 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 6.33/6.65 | ~ c_lessequals(X4,X3,X1)
% 6.33/6.65 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6693]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_607,plain,
% 6.33/6.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.65 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3501_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6687,plain,
% 6.33/6.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.65 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_607]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_605,plain,
% 6.33/6.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.65 | c_HOL_Ominus__class_Ominus(c_Suc(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3500_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6683,plain,
% 6.33/6.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.65 | c_HOL_Ominus__class_Ominus(c_Suc(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_605]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_598,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3498_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6669,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_598]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_596,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3497_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6665,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_596]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_593,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3496_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6659,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_593]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_587,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.65 | c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3494_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6647,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.65 | c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_587]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6648,plain,
% 6.33/6.65 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.65 | c_lessequals(X1,X2,tc_nat)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6647]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_581,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)
% 6.33/6.65 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3492_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6635,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)
% 6.33/6.65 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_581]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6636,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 6.33/6.65 | c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6635]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_576,plain,
% 6.33/6.65 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X2,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X0,X2,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3490_3) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6625,plain,
% 6.33/6.65 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X2,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X0,X2,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_576]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_571,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3489_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6615,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_571]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_569,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3488_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6611,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_569]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_567,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3487_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6607,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_567]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_541,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3480_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6555,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_541]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_539,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.33/6.65 | c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3479_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6551,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.33/6.65 | c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_539]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_537,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.33/6.65 | c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omin(X1,X3,X0)),X2) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3478_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6547,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 6.33/6.65 | c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omin(X1,X3,X0)),X2) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_537]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_534,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_Divides_Odiv__class_Odiv(X1,X3,X0))
% 6.33/6.65 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3477_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6541,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_Divides_Odiv__class_Odiv(X1,X3,X0))
% 6.33/6.65 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_534]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_531,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),c_Divides_Odiv__class_Odiv(X1,X2,X0))
% 6.33/6.65 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3476_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6535,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),c_Divides_Odiv__class_Odiv(X1,X2,X0))
% 6.33/6.65 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_531]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_529,plain,
% 6.33/6.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4))
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X3,X1,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3475_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6531,plain,
% 6.33/6.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4))
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X3,X1,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_529]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_525,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3473_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6523,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_525]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_523,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3472_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6519,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_523]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_521,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 6.33/6.65 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,hAPP(X1,X3),X0) = c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_Suc(X2),X3,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3471_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6515,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 6.33/6.65 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,hAPP(X1,X3),X0) = c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_Suc(X2),X3,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_521]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_505,plain,
% 6.33/6.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3467_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6483,plain,
% 6.33/6.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_505]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_493,plain,
% 6.33/6.65 ( ~ class_Divides_Oring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3464_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6459,plain,
% 6.33/6.65 ( ~ class_Divides_Oring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_493]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_491,plain,
% 6.33/6.65 ( ~ class_Divides_Oring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3463_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6455,plain,
% 6.33/6.65 ( ~ class_Divides_Oring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_491]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_489,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3462_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6451,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_489]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_426,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3446_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6325,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_426]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6326,plain,
% 6.33/6.65 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6325]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_423,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.65 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3445_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6319,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.65 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_423]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_420,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.65 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3444_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6313,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 6.33/6.65 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_420]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_414,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.65 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3442_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6301,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.65 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_414]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_408,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3440_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6289,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_408]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_404,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3438_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6281,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_404]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_402,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3437_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6277,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_402]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_400,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3436_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6273,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_400]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_358,plain,
% 6.33/6.65 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.65 | c_lessequals(X0,X2,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3428_2) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6189,plain,
% 6.33/6.65 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.65 | c_lessequals(X0,X2,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X2,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_358]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_357,plain,
% 6.33/6.65 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X2,tc_nat)
% 6.33/6.65 | c_lessequals(X0,X2,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X0,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3428_1) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6187,plain,
% 6.33/6.65 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X2,tc_nat)
% 6.33/6.65 | c_lessequals(X0,X2,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X0,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_357]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_356,plain,
% 6.33/6.65 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X2,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.65 | c_lessequals(X0,X2,tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3428_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6185,plain,
% 6.33/6.65 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X2,tc_nat)
% 6.33/6.65 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.65 | c_lessequals(X0,X2,tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_356]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_354,plain,
% 6.33/6.65 ( ~ c_Type_Otyping(X0,X1,X2)
% 6.33/6.65 | c_Type_Otyping(c_Type_Oshift(X0,X3,X4,tc_Type_Otype),c_Lambda_Olift(X1,X3),X2) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3427_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6181,plain,
% 6.33/6.65 ( ~ c_Type_Otyping(X0,X1,X2)
% 6.33/6.65 | c_Type_Otyping(c_Type_Oshift(X0,X3,X4,tc_Type_Otype),c_Lambda_Olift(X1,X3),X2) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_354]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6182,plain,
% 6.33/6.65 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 6.33/6.65 | ~ c_Type_Otyping(X0,X3,X4) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6181]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_352,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Suc(c_Divides_Odiv__class_Odiv(X1,X0,tc_nat))),tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3426_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6177,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 6.33/6.65 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Suc(c_Divides_Odiv__class_Odiv(X1,X0,tc_nat))),tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_352]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_348,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3425_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6169,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_348]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6170,plain,
% 6.33/6.65 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6169]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_346,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3424_2) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6165,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_346]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_342,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3423_2) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6157,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_342]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_338,plain,
% 6.33/6.65 ( ~ class_Divides_Oring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3422_2) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6149,plain,
% 6.33/6.65 ( ~ class_Divides_Oring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_338]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_334,plain,
% 6.33/6.65 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 6.33/6.65 | c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xabs__typeE__1__2(X0,X1)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3421_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6141,plain,
% 6.33/6.65 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 6.33/6.65 | c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xabs__typeE__1__2(X0,X1)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_334]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6142,plain,
% 6.33/6.65 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xabs__typeE__1__2(X0,X1))
% 6.33/6.65 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6141]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_332,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3420_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6137,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_332]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_330,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4))) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3419_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6133,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4))) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_330]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_328,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3418_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6129,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_328]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_316,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3413_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6105,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_316]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_314,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3412_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6101,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_314]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_308,plain,
% 6.33/6.65 ( ~ class_Divides_Oring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3410_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6089,plain,
% 6.33/6.65 ( ~ class_Divides_Oring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_308]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_306,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3409_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6085,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_306]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6086,plain,
% 6.33/6.65 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6085]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_298,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2 ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3406_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6069,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2 ),
% 6.33/6.65 inference(copy,[status(esa)],[c_298]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_296,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1 ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3405_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6065,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1 ),
% 6.33/6.65 inference(copy,[status(esa)],[c_296]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_294,plain,
% 6.33/6.65 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.65 | c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X1,X3,X0),X0),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3404_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6061,plain,
% 6.33/6.65 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.65 | c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X1,X3,X0),X0),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_294]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6062,plain,
% 6.33/6.65 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X3),c_Orderings_Oord__class_Omax(X0,X2,X3),X3),X3)
% 6.33/6.65 | ~ class_Orderings_Olinorder(X3) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6061]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_292,plain,
% 6.33/6.65 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.65 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X1,X3,X0),X0),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3403_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6057,plain,
% 6.33/6.65 ( ~ class_Orderings_Olinorder(X0)
% 6.33/6.65 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X1,X3,X0),X0),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_292]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6058,plain,
% 6.33/6.65 ( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2),c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2),X2)
% 6.33/6.65 | ~ class_Orderings_Olinorder(X2) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6057]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_290,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3402_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6053,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_290]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_288,plain,
% 6.33/6.65 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 6.33/6.65 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),c_Type_Otype_OFun(X1,X3)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3401_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6049,plain,
% 6.33/6.65 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 6.33/6.65 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),c_Type_Otype_OFun(X1,X3)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_288]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_286,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3400_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6045,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_286]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_284,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3399_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6041,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_284]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_282,plain,
% 6.33/6.65 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 6.33/6.65 | c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X2,X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xtyping__elims__3__2(X2,X0,X1)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3398_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6037,plain,
% 6.33/6.65 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 6.33/6.65 | c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X2,X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xtyping__elims__3__2(X2,X0,X1)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_282]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6038,plain,
% 6.33/6.65 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X1,X0,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X1,X0,X2))
% 6.33/6.65 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6037]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_278,plain,
% 6.33/6.65 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 6.33/6.65 | hBOOL(hAPP(X0,X2)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3396_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6029,plain,
% 6.33/6.65 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 6.33/6.65 | hBOOL(hAPP(X0,X2)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_278]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_276,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Suc(X2)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3395_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6025,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Suc(X2)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_276]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_271,plain,
% 6.33/6.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 6.33/6.65 | X0 = X2
% 6.33/6.65 | X1 = X3 ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3393_1) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6015,plain,
% 6.33/6.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 6.33/6.65 | X0 = X2
% 6.33/6.65 | X1 = X3 ),
% 6.33/6.65 inference(copy,[status(esa)],[c_271]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_270,plain,
% 6.33/6.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 6.33/6.65 | X1 = X3
% 6.33/6.65 | X0 = X2 ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3393_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6013,plain,
% 6.33/6.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 6.33/6.65 | X1 = X3
% 6.33/6.65 | X0 = X2 ),
% 6.33/6.65 inference(copy,[status(esa)],[c_270]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_268,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3392_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6009,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_268]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_6010,plain,
% 6.33/6.65 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_6009]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_239,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1 ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3385_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_5951,plain,
% 6.33/6.65 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1 ),
% 6.33/6.65 inference(copy,[status(esa)],[c_239]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_237,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3384_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_5947,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_237]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_5948,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_5947]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_229,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3381_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_5931,plain,
% 6.33/6.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_229]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_5932,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0)
% 6.33/6.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_5931]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_227,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Suc(X2)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3380_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_5927,plain,
% 6.33/6.65 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.65 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Suc(X2)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_227]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_224,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Divides_Odiv__class_Omod(X3,X2,tc_nat))),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3379_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_5921,plain,
% 6.33/6.65 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.33/6.65 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Divides_Odiv__class_Omod(X3,X2,tc_nat))),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_224]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_5922,plain,
% 6.33/6.65 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Omod(X1,X2,tc_nat))),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 6.33/6.65 | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 6.33/6.65 inference(rewriting,[status(thm)],[c_5921]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_222,plain,
% 6.33/6.65 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 6.33/6.65 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3378_0) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_5917,plain,
% 6.33/6.65 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 6.33/6.65 | hBOOL(hAPP(X0,X1)) ),
% 6.33/6.65 inference(copy,[status(esa)],[c_222]) ).
% 6.33/6.65
% 6.33/6.65 cnf(c_218,plain,
% 6.33/6.65 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_Suc(X3),t_a)))
% 6.33/6.65 | hBOOL(hAPP(X0,hAPP(X2,X3))) ),
% 6.33/6.65 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3376_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5909,plain,
% 6.33/6.66 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_Suc(X3),t_a)))
% 6.33/6.66 | hBOOL(hAPP(X0,hAPP(X2,X3))) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_218]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5910,plain,
% 6.33/6.66 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 6.33/6.66 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5909]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_216,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Osemiring(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3375_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5905,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Osemiring(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_216]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_208,plain,
% 6.33/6.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 6.33/6.66 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3372_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5889,plain,
% 6.33/6.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 6.33/6.66 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_208]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_206,plain,
% 6.33/6.66 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | c_Lambda_OdB_OVar(X0) = X1 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3371_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5885,plain,
% 6.33/6.66 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | c_Lambda_OdB_OVar(X0) = X1 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_206]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_204,plain,
% 6.33/6.66 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3370_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5881,plain,
% 6.33/6.66 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_204]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_202,plain,
% 6.33/6.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.66 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3369_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5877,plain,
% 6.33/6.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.66 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_202]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_200,plain,
% 6.33/6.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3368_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5873,plain,
% 6.33/6.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_200]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_197,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Oring(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3) = X5 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3367_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5867,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Oring(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3) = X5 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_197]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5868,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Oring(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4) = X5
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5867]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_194,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Oring(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)
% 6.33/6.66 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3366_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5861,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Oring(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)
% 6.33/6.66 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_194]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_192,plain,
% 6.33/6.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X3)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3365_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5857,plain,
% 6.33/6.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X3)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_192]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_190,plain,
% 6.33/6.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X3),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3364_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5853,plain,
% 6.33/6.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X3),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_190]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_186,plain,
% 6.33/6.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3362_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5845,plain,
% 6.33/6.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_186]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_182,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Oring(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3360_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5837,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Oring(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_182]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_180,plain,
% 6.33/6.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.66 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3359_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5833,plain,
% 6.33/6.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.66 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_180]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_178,plain,
% 6.33/6.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.66 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3358_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5829,plain,
% 6.33/6.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 6.33/6.66 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_178]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_176,plain,
% 6.33/6.66 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3357_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5825,plain,
% 6.33/6.66 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_176]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_166,plain,
% 6.33/6.66 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3354_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5805,plain,
% 6.33/6.66 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_166]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_163,plain,
% 6.33/6.66 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.33/6.66 | ~ c_lessequals(X0,X3,tc_nat)
% 6.33/6.66 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3353_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5799,plain,
% 6.33/6.66 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.33/6.66 | ~ c_lessequals(X0,X3,tc_nat)
% 6.33/6.66 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_163]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5800,plain,
% 6.33/6.66 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 6.33/6.66 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 6.33/6.66 | ~ c_lessequals(X0,X3,tc_nat) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5799]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_152,plain,
% 6.33/6.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | X0 = X2 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3349_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5777,plain,
% 6.33/6.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | X0 = X2 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_152]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_150,plain,
% 6.33/6.66 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 6.33/6.66 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3348_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5773,plain,
% 6.33/6.66 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 6.33/6.66 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_150]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_148,plain,
% 6.33/6.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | X0 = X2 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3347_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5769,plain,
% 6.33/6.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | X0 = X2 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_148]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_146,plain,
% 6.33/6.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | X1 = X3 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3346_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5765,plain,
% 6.33/6.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | X1 = X3 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_146]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_144,plain,
% 6.33/6.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | X0 = X2 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3345_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5761,plain,
% 6.33/6.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | X0 = X2 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_144]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_142,plain,
% 6.33/6.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | X1 = X3 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3344_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5757,plain,
% 6.33/6.66 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 6.33/6.66 | X1 = X3 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_142]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_139,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.33/6.66 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3343_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5751,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.33/6.66 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_139]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5752,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 6.33/6.66 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5751]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_136,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.33/6.66 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3342_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5745,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.33/6.66 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_136]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_133,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.33/6.66 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3341_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5739,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.33/6.66 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_133]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5740,plain,
% 6.33/6.66 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 6.33/6.66 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 6.33/6.66 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5739]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_124,plain,
% 6.33/6.66 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 6.33/6.66 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.66 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3338_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5721,plain,
% 6.33/6.66 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 6.33/6.66 | ~ c_lessequals(X1,X0,tc_nat)
% 6.33/6.66 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_124]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5722,plain,
% 6.33/6.66 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 6.33/6.66 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 6.33/6.66 | ~ c_lessequals(X1,X0,tc_nat) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5721]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_115,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 6.33/6.66 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3335_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5703,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 6.33/6.66 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_115]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_112,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X2,X3,X0)),X4)),X5),X0)
% 6.33/6.66 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)),X5),X0) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3334_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5697,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X2,X3,X0)),X4)),X5),X0)
% 6.33/6.66 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)),X5),X0) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_112]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5698,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.33/6.66 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5697]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_106,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X2,X3,X0)),X4)),X5),X0)
% 6.33/6.66 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)),X5),X0) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3332_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5685,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 6.33/6.66 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X2,X3,X0)),X4)),X5),X0)
% 6.33/6.66 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)),X5),X0) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_106]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5686,plain,
% 6.33/6.66 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 6.33/6.66 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 6.33/6.66 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5685]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_104,plain,
% 6.33/6.66 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.66 | c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3331_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5681,plain,
% 6.33/6.66 ( ~ c_Lambda_Obeta(X0,X1)
% 6.33/6.66 | c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_104]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5682,plain,
% 6.33/6.66 ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB))
% 6.33/6.66 | ~ c_Lambda_Obeta(X0,X2) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5681]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_102,plain,
% 6.33/6.66 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3330_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5677,plain,
% 6.33/6.66 ( ~ class_Divides_Osemiring__div(X0)
% 6.33/6.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_102]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_100,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.66 | c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3329_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5673,plain,
% 6.33/6.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 6.33/6.66 | c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_100]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5674,plain,
% 6.33/6.66 ( c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 6.33/6.66 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5673]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_97,plain,
% 6.33/6.66 ( ~ c_InductTermi_OIT(X0)
% 6.33/6.66 | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X0,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 6.33/6.66 | c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X0),X2,tc_Lambda_OdB,tc_Lambda_OdB)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3328_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5667,plain,
% 6.33/6.66 ( ~ c_InductTermi_OIT(X0)
% 6.33/6.66 | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X1,X0,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 6.33/6.66 | c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1)),X0),X2,tc_Lambda_OdB,tc_Lambda_OdB)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_97]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5668,plain,
% 6.33/6.66 ( c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 6.33/6.66 | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 6.33/6.66 | ~ c_InductTermi_OIT(X1) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5667]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_93,plain,
% 6.33/6.66 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OVar(X4),t_a)))
% 6.33/6.66 | hBOOL(hAPP(X0,hAPP(X1,X4))) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3326_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5659,plain,
% 6.33/6.66 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OVar(X4),t_a)))
% 6.33/6.66 | hBOOL(hAPP(X0,hAPP(X1,X4))) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_93]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5660,plain,
% 6.33/6.66 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 6.33/6.66 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5659]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_89,plain,
% 6.33/6.66 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OAbs(X4),t_a)))
% 6.33/6.66 | hBOOL(hAPP(X0,hAPP(X3,X4))) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3324_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5651,plain,
% 6.33/6.66 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OAbs(X4),t_a)))
% 6.33/6.66 | hBOOL(hAPP(X0,hAPP(X3,X4))) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_89]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5652,plain,
% 6.33/6.66 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 6.33/6.66 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5651]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_86,plain,
% 6.33/6.66 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 6.33/6.66 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 6.33/6.66 | X4 = X3 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3323_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5645,plain,
% 6.33/6.66 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 6.33/6.66 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 6.33/6.66 | X4 = X3 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_86]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_82,plain,
% 6.33/6.66 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X5),t_a)))
% 6.33/6.66 | hBOOL(hAPP(X0,hAPP(hAPP(X2,X4),X5))) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3321_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5637,plain,
% 6.33/6.66 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X5),t_a)))
% 6.33/6.66 | hBOOL(hAPP(X0,hAPP(hAPP(X2,X4),X5))) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_82]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5638,plain,
% 6.33/6.66 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 6.33/6.66 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 6.33/6.66 inference(rewriting,[status(thm)],[c_5637]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_78,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3319_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5629,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_78]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_74,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3317_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5621,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_74]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_70,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3315_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5613,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_70]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_68,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3314_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5609,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_68]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_66,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3313_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5605,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_66]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_64,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3312_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5601,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_64]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_62,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3311_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5597,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 6.33/6.66 inference(copy,[status(esa)],[c_62]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_56,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3308_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5585,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_56]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_54,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3307_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5581,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_54]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_48,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3304_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5569,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_48]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_46,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3303_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5565,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_46]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_44,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3302_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5561,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_44]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_42,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3301_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5557,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_42]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_40,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3300_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5553,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_40]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_38,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3299_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5549,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_38]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_28,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3294_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5529,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_28]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_26,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3293_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5525,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_26]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_24,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X7),X8)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3292_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5521,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X7),X8)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_24]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_22,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3291_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5517,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_22]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_20,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3290_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5513,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_20]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_18,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3289_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5509,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_18]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_16,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3288_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5505,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_16]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_14,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X8)) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X7),X8)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3287_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5501,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X8)) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X7),X8)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_14]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_10,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3285_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5493,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_10]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_8,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3284_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5489,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_8]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_6,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),hAPP(hAPP(X1,X7),X9)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3283_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5485,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),hAPP(hAPP(X1,X7),X9)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_6]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_4,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X8),X9))) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3282_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5481,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X8),X9))) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_4]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_2,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),hAPP(hAPP(X0,X8),X9)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),hAPP(hAPP(X0,X7),X9)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3281_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5477,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),hAPP(hAPP(X0,X8),X9)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),hAPP(hAPP(X0,X7),X9)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_2]) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_0,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X8),hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X9)) ),
% 6.33/6.66 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_3280_0) ).
% 6.33/6.66
% 6.33/6.66 cnf(c_5473,plain,
% 6.33/6.66 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 6.33/6.66 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X8),hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X9)) ),
% 6.33/6.66 inference(copy,[status(esa)],[c_0]) ).
% 6.33/6.66
% 6.33/6.66
% 6.33/6.66
% 6.33/6.66 % ------ Statistics
% 6.33/6.66
% 6.33/6.66 % ------ General
% 6.33/6.66
% 6.33/6.66 % num_of_input_clauses: 2473
% 6.33/6.66 % num_of_input_neg_conjectures: 1
% 6.33/6.66 % num_of_splits: 0
% 6.33/6.66 % num_of_split_atoms: 0
% 6.33/6.66 % num_of_sem_filtered_clauses: 0
% 6.33/6.66 % num_of_subtypes: 0
% 6.33/6.66 % monotx_restored_types: 0
% 6.33/6.66 % sat_num_of_epr_types: 0
% 6.33/6.66 % sat_num_of_non_cyclic_types: 0
% 6.33/6.66 % sat_guarded_non_collapsed_types: 0
% 6.33/6.66 % is_epr: 0
% 6.33/6.66 % is_horn: 0
% 6.33/6.66 % has_eq: 1
% 6.33/6.66 % num_pure_diseq_elim: 0
% 6.33/6.66 % simp_replaced_by: 0
% 6.33/6.66 % res_preprocessed: 2
% 6.33/6.66 % prep_upred: 0
% 6.33/6.66 % prep_unflattend: 0
% 6.33/6.66 % pred_elim_cands: 0
% 6.33/6.66 % pred_elim: 0
% 6.33/6.66 % pred_elim_cl: 0
% 6.33/6.66 % pred_elim_cycles: 0
% 6.33/6.66 % forced_gc_time: 0
% 6.33/6.66 % gc_basic_clause_elim: 0
% 6.33/6.66 % parsing_time: 0.139
% 6.33/6.66 % sem_filter_time: 0.
% 6.33/6.66 % pred_elim_time: 0.
% 6.33/6.66 % out_proof_time: 0.
% 6.33/6.66 % monotx_time: 0.
% 6.33/6.66 % subtype_inf_time: 0.
% 6.33/6.66 % unif_index_cands_time: 0.
% 6.33/6.66 % unif_index_add_time: 0.004
% 6.33/6.66 % total_time: 6.024
% 6.33/6.66 % num_of_symbols: 145
% 6.33/6.66 % num_of_terms: 6659
% 6.33/6.66
% 6.33/6.66 % ------ Propositional Solver
% 6.33/6.66
% 6.33/6.66 % prop_solver_calls: 1
% 6.33/6.66 % prop_fast_solver_calls: 3
% 6.33/6.66 % prop_num_of_clauses: 1982
% 6.33/6.66 % prop_preprocess_simplified: 7814
% 6.33/6.66 % prop_fo_subsumed: 0
% 6.33/6.66 % prop_solver_time: 0.
% 6.33/6.66 % prop_fast_solver_time: 0.
% 6.33/6.66 % prop_unsat_core_time: 0.
% 6.33/6.66
% 6.33/6.66 % ------ QBF
% 6.33/6.66
% 6.33/6.66 % qbf_q_res: 0
% 6.33/6.66 % qbf_num_tautologies: 0
% 6.33/6.66 % qbf_prep_cycles: 0
% 6.33/6.66
% 6.33/6.66 % ------ BMC1
% 6.33/6.66
% 6.33/6.66 % bmc1_current_bound: -1
% 6.33/6.66 % bmc1_last_solved_bound: -1
% 6.33/6.66 % bmc1_unsat_core_size: -1
% 6.33/6.66 % bmc1_unsat_core_parents_size: -1
% 6.33/6.66 % bmc1_merge_next_fun: 0
% 6.33/6.66 % bmc1_unsat_core_clauses_time: 0.
% 6.33/6.66
% 6.33/6.66 % ------ Instantiation
% 6.33/6.66
% 6.33/6.66 % inst_num_of_clauses: 2187
% 6.33/6.66 % inst_num_in_passive: 0
% 6.33/6.66 % inst_num_in_active: 0
% 6.33/6.66 % inst_num_in_unprocessed: 2473
% 6.33/6.66 % inst_num_of_loops: 0
% 6.33/6.66 % inst_num_of_learning_restarts: 0
% 6.33/6.66 % inst_num_moves_active_passive: 0
% 6.33/6.66 % inst_lit_activity: 0
% 6.33/6.66 % inst_lit_activity_moves: 0
% 6.33/6.66 % inst_num_tautologies: 0
% 6.33/6.66 % inst_num_prop_implied: 0
% 6.33/6.66 % inst_num_existing_simplified: 0
% 6.33/6.66 % inst_num_eq_res_simplified: 0
% 6.33/6.66 % inst_num_child_elim: 0
% 6.33/6.66 % inst_num_of_dismatching_blockings: 0
% 6.33/6.66 % inst_num_of_non_proper_insts: 0
% 6.33/6.66 % inst_num_of_duplicates: 0
% 6.33/6.66 % inst_inst_num_from_inst_to_res: 0
% 6.33/6.66 % inst_dismatching_checking_time: 0.
% 6.33/6.66
% 6.33/6.66 % ------ Resolution
% 6.33/6.66
% 6.33/6.66 % res_num_of_clauses: 2452
% 6.33/6.66 % res_num_in_passive: 0
% 6.33/6.66 % res_num_in_active: 895
% 6.33/6.66 % res_num_of_loops: 3
% 6.33/6.66 % res_forward_subset_subsumed: 1476
% 6.33/6.66 % res_backward_subset_subsumed: 4
% 6.33/6.66 % res_forward_subsumed: 1
% 6.33/6.66 % res_backward_subsumed: 0
% 6.33/6.66 % res_forward_subsumption_resolution: 0
% 6.33/6.66 % res_backward_subsumption_resolution: 0
% 6.33/6.66 % res_clause_to_clause_subsumption: 1
% 6.33/6.66 % res_orphan_elimination: 0
% 6.33/6.66 % res_tautology_del: 0
% 6.33/6.66 % res_num_eq_res_simplified: 0
% 6.33/6.66 % res_num_sel_changes: 0
% 6.33/6.66 % res_moves_from_active_to_pass: 0
% 6.33/6.66
% 6.33/6.66 % Status Unknown
% 6.65/6.90 % Orienting using strategy ClausalAll
% 6.65/6.90 % Orientation found
% 6.65/6.90 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_78b277.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_d47d4c | grep -v "SZS"
% 6.65/6.91
% 6.65/6.91 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 6.65/6.91
% 6.65/6.91 %
% 6.65/6.91 % ------ iProver source info
% 6.65/6.91
% 6.65/6.91 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 6.65/6.91 % git: non_committed_changes: true
% 6.65/6.91 % git: last_make_outside_of_git: true
% 6.65/6.91
% 6.65/6.91 %
% 6.65/6.91 % ------ Input Options
% 6.65/6.91
% 6.65/6.91 % --out_options all
% 6.65/6.91 % --tptp_safe_out true
% 6.65/6.91 % --problem_path ""
% 6.65/6.91 % --include_path ""
% 6.65/6.91 % --clausifier .//eprover
% 6.65/6.91 % --clausifier_options --tstp-format
% 6.65/6.91 % --stdin false
% 6.65/6.91 % --dbg_backtrace false
% 6.65/6.91 % --dbg_dump_prop_clauses false
% 6.65/6.91 % --dbg_dump_prop_clauses_file -
% 6.65/6.91 % --dbg_out_stat false
% 6.65/6.91
% 6.65/6.91 % ------ General Options
% 6.65/6.91
% 6.65/6.91 % --fof false
% 6.65/6.91 % --time_out_real 150.
% 6.65/6.91 % --time_out_prep_mult 0.2
% 6.65/6.91 % --time_out_virtual -1.
% 6.65/6.91 % --schedule none
% 6.65/6.91 % --ground_splitting input
% 6.65/6.91 % --splitting_nvd 16
% 6.65/6.91 % --non_eq_to_eq false
% 6.65/6.91 % --prep_gs_sim true
% 6.65/6.91 % --prep_unflatten false
% 6.65/6.91 % --prep_res_sim true
% 6.65/6.91 % --prep_upred true
% 6.65/6.91 % --res_sim_input true
% 6.65/6.91 % --clause_weak_htbl true
% 6.65/6.91 % --gc_record_bc_elim false
% 6.65/6.91 % --symbol_type_check false
% 6.65/6.91 % --clausify_out false
% 6.65/6.91 % --large_theory_mode false
% 6.65/6.91 % --prep_sem_filter none
% 6.65/6.91 % --prep_sem_filter_out false
% 6.65/6.91 % --preprocessed_out false
% 6.65/6.91 % --sub_typing false
% 6.65/6.91 % --brand_transform false
% 6.65/6.91 % --pure_diseq_elim true
% 6.65/6.91 % --min_unsat_core false
% 6.65/6.91 % --pred_elim true
% 6.65/6.91 % --add_important_lit false
% 6.65/6.91 % --soft_assumptions false
% 6.65/6.91 % --reset_solvers false
% 6.65/6.91 % --bc_imp_inh []
% 6.65/6.91 % --conj_cone_tolerance 1.5
% 6.65/6.91 % --prolific_symb_bound 500
% 6.65/6.91 % --lt_threshold 2000
% 6.65/6.91
% 6.65/6.91 % ------ SAT Options
% 6.65/6.91
% 6.65/6.91 % --sat_mode false
% 6.65/6.91 % --sat_fm_restart_options ""
% 6.65/6.91 % --sat_gr_def false
% 6.65/6.91 % --sat_epr_types true
% 6.65/6.91 % --sat_non_cyclic_types false
% 6.65/6.91 % --sat_finite_models false
% 6.65/6.91 % --sat_fm_lemmas false
% 6.65/6.91 % --sat_fm_prep false
% 6.65/6.91 % --sat_fm_uc_incr true
% 6.65/6.91 % --sat_out_model small
% 6.65/6.91 % --sat_out_clauses false
% 6.65/6.91
% 6.65/6.91 % ------ QBF Options
% 6.65/6.91
% 6.65/6.91 % --qbf_mode false
% 6.65/6.91 % --qbf_elim_univ true
% 6.65/6.91 % --qbf_sk_in true
% 6.65/6.91 % --qbf_pred_elim true
% 6.65/6.91 % --qbf_split 32
% 6.65/6.91
% 6.65/6.91 % ------ BMC1 Options
% 6.65/6.91
% 6.65/6.91 % --bmc1_incremental false
% 6.65/6.91 % --bmc1_axioms reachable_all
% 6.65/6.91 % --bmc1_min_bound 0
% 6.65/6.91 % --bmc1_max_bound -1
% 6.65/6.91 % --bmc1_max_bound_default -1
% 6.65/6.91 % --bmc1_symbol_reachability true
% 6.65/6.91 % --bmc1_property_lemmas false
% 6.65/6.91 % --bmc1_k_induction false
% 6.65/6.91 % --bmc1_non_equiv_states false
% 6.65/6.91 % --bmc1_deadlock false
% 6.65/6.91 % --bmc1_ucm false
% 6.65/6.91 % --bmc1_add_unsat_core none
% 6.65/6.91 % --bmc1_unsat_core_children false
% 6.65/6.91 % --bmc1_unsat_core_extrapolate_axioms false
% 6.65/6.91 % --bmc1_out_stat full
% 6.65/6.91 % --bmc1_ground_init false
% 6.65/6.91 % --bmc1_pre_inst_next_state false
% 6.65/6.91 % --bmc1_pre_inst_state false
% 6.65/6.91 % --bmc1_pre_inst_reach_state false
% 6.65/6.91 % --bmc1_out_unsat_core false
% 6.65/6.91 % --bmc1_aig_witness_out false
% 6.65/6.91 % --bmc1_verbose false
% 6.65/6.91 % --bmc1_dump_clauses_tptp false
% 11.27/11.50 % --bmc1_dump_unsat_core_tptp false
% 11.27/11.50 % --bmc1_dump_file -
% 11.27/11.50 % --bmc1_ucm_expand_uc_limit 128
% 11.27/11.50 % --bmc1_ucm_n_expand_iterations 6
% 11.27/11.50 % --bmc1_ucm_extend_mode 1
% 11.27/11.50 % --bmc1_ucm_init_mode 2
% 11.27/11.50 % --bmc1_ucm_cone_mode none
% 11.27/11.50 % --bmc1_ucm_reduced_relation_type 0
% 11.27/11.50 % --bmc1_ucm_relax_model 4
% 11.27/11.50 % --bmc1_ucm_full_tr_after_sat true
% 11.27/11.50 % --bmc1_ucm_expand_neg_assumptions false
% 11.27/11.50 % --bmc1_ucm_layered_model none
% 11.27/11.50 % --bmc1_ucm_max_lemma_size 10
% 11.27/11.50
% 11.27/11.50 % ------ AIG Options
% 11.27/11.50
% 11.27/11.50 % --aig_mode false
% 11.27/11.50
% 11.27/11.50 % ------ Instantiation Options
% 11.27/11.50
% 11.27/11.50 % --instantiation_flag true
% 11.27/11.50 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 11.27/11.50 % --inst_solver_per_active 750
% 11.27/11.50 % --inst_solver_calls_frac 0.5
% 11.27/11.50 % --inst_passive_queue_type priority_queues
% 11.27/11.50 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 11.27/11.50 % --inst_passive_queues_freq [25;2]
% 11.27/11.50 % --inst_dismatching true
% 11.27/11.50 % --inst_eager_unprocessed_to_passive true
% 11.27/11.50 % --inst_prop_sim_given true
% 11.27/11.50 % --inst_prop_sim_new false
% 11.27/11.50 % --inst_orphan_elimination true
% 11.27/11.50 % --inst_learning_loop_flag true
% 11.27/11.50 % --inst_learning_start 3000
% 11.27/11.50 % --inst_learning_factor 2
% 11.27/11.50 % --inst_start_prop_sim_after_learn 3
% 11.27/11.50 % --inst_sel_renew solver
% 11.27/11.50 % --inst_lit_activity_flag true
% 11.27/11.50 % --inst_out_proof true
% 11.27/11.50
% 11.27/11.50 % ------ Resolution Options
% 11.27/11.50
% 11.27/11.50 % --resolution_flag true
% 11.27/11.50 % --res_lit_sel kbo_max
% 11.27/11.50 % --res_to_prop_solver none
% 11.27/11.50 % --res_prop_simpl_new false
% 11.27/11.50 % --res_prop_simpl_given false
% 11.27/11.50 % --res_passive_queue_type priority_queues
% 11.27/11.50 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 11.27/11.50 % --res_passive_queues_freq [15;5]
% 11.27/11.50 % --res_forward_subs full
% 11.27/11.50 % --res_backward_subs full
% 11.27/11.50 % --res_forward_subs_resolution true
% 11.27/11.50 % --res_backward_subs_resolution true
% 11.27/11.50 % --res_orphan_elimination false
% 11.27/11.50 % --res_time_limit 1000.
% 11.27/11.50 % --res_out_proof true
% 11.27/11.50 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_78b277.s
% 11.27/11.50 % --modulo true
% 11.27/11.50
% 11.27/11.50 % ------ Combination Options
% 11.27/11.50
% 11.27/11.50 % --comb_res_mult 1000
% 11.27/11.50 % --comb_inst_mult 300
% 11.27/11.50 % ------
% 11.27/11.50
% 11.27/11.50 % ------ Parsing...% successful
% 11.27/11.50
% 11.27/11.50 % ------ 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 %
% 11.27/11.50
% 11.27/11.50 % ------ Proving...
% 11.27/11.50 % ------ Problem Properties
% 11.27/11.50
% 11.27/11.50 %
% 11.27/11.50 % EPR false
% 11.27/11.50 % Horn false
% 11.27/11.50 % Has equality true
% 11.27/11.50
% 11.27/11.50 % % ------ Input Options Time Limit: Unbounded
% 11.27/11.50
% 11.27/11.50
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 Compiling...
% 11.27/11.50 Loading plugin: done.
% 11.27/11.50 % % ------ Current options:
% 11.27/11.50
% 11.27/11.50 % ------ Input Options
% 11.27/11.50
% 11.27/11.50 % --out_options all
% 11.27/11.50 % --tptp_safe_out true
% 11.27/11.50 % --problem_path ""
% 11.27/11.50 % --include_path ""
% 11.27/11.50 % --clausifier .//eprover
% 11.27/11.50 % --clausifier_options --tstp-format
% 11.27/11.50 % --stdin false
% 11.27/11.50 % --dbg_backtrace false
% 11.27/11.50 % --dbg_dump_prop_clauses false
% 11.27/11.50 % --dbg_dump_prop_clauses_file -
% 11.27/11.50 % --dbg_out_stat false
% 11.27/11.50
% 11.27/11.50 % ------ General Options
% 11.27/11.50
% 11.27/11.50 % --fof false
% 11.27/11.50 % --time_out_real 150.
% 11.27/11.50 % --time_out_prep_mult 0.2
% 11.27/11.50 % --time_out_virtual -1.
% 11.27/11.50 % --schedule none
% 11.27/11.50 % --ground_splitting input
% 11.27/11.50 % --splitting_nvd 16
% 11.27/11.50 % --non_eq_to_eq false
% 11.27/11.50 % --prep_gs_sim true
% 11.27/11.50 % --prep_unflatten false
% 11.27/11.50 % --prep_res_sim true
% 11.27/11.50 % --prep_upred true
% 11.27/11.50 % --res_sim_input true
% 11.27/11.50 % --clause_weak_htbl true
% 11.27/11.50 % --gc_record_bc_elim false
% 11.27/11.50 % --symbol_type_check false
% 11.27/11.50 % --clausify_out false
% 11.27/11.50 % --large_theory_mode false
% 11.27/11.50 % --prep_sem_filter none
% 11.27/11.50 % --prep_sem_filter_out false
% 11.27/11.50 % --preprocessed_out false
% 11.27/11.50 % --sub_typing false
% 11.27/11.50 % --brand_transform false
% 11.27/11.50 % --pure_diseq_elim true
% 11.27/11.50 % --min_unsat_core false
% 11.27/11.50 % --pred_elim true
% 11.27/11.50 % --add_important_lit false
% 11.27/11.50 % --soft_assumptions false
% 11.27/11.50 % --reset_solvers false
% 11.27/11.50 % --bc_imp_inh []
% 11.27/11.50 % --conj_cone_tolerance 1.5
% 11.27/11.50 % --prolific_symb_bound 500
% 11.27/11.50 % --lt_threshold 2000
% 11.27/11.50
% 11.27/11.50 % ------ SAT Options
% 11.27/11.50
% 11.27/11.50 % --sat_mode false
% 11.27/11.50 % --sat_fm_restart_options ""
% 11.27/11.50 % --sat_gr_def false
% 11.27/11.50 % --sat_epr_types true
% 11.27/11.50 % --sat_non_cyclic_types false
% 11.27/11.50 % --sat_finite_models false
% 11.27/11.50 % --sat_fm_lemmas false
% 11.27/11.50 % --sat_fm_prep false
% 11.27/11.50 % --sat_fm_uc_incr true
% 11.27/11.50 % --sat_out_model small
% 11.27/11.50 % --sat_out_clauses false
% 11.27/11.50
% 11.27/11.50 % ------ QBF Options
% 11.27/11.50
% 11.27/11.50 % --qbf_mode false
% 11.27/11.50 % --qbf_elim_univ true
% 11.27/11.50 % --qbf_sk_in true
% 11.27/11.50 % --qbf_pred_elim true
% 11.27/11.50 % --qbf_split 32
% 11.27/11.50
% 11.27/11.50 % ------ BMC1 Options
% 11.27/11.50
% 11.27/11.50 % --bmc1_incremental false
% 11.27/11.50 % --bmc1_axioms reachable_all
% 11.27/11.50 % --bmc1_min_bound 0
% 11.27/11.50 % --bmc1_max_bound -1
% 11.27/11.50 % --bmc1_max_bound_default -1
% 11.27/11.50 % --bmc1_symbol_reachability true
% 11.27/11.50 % --bmc1_property_lemmas false
% 11.27/11.50 % --bmc1_k_induction false
% 11.27/11.50 % --bmc1_non_equiv_states false
% 11.27/11.50 % --bmc1_deadlock false
% 11.27/11.50 % --bmc1_ucm false
% 11.27/11.50 % --bmc1_add_unsat_core none
% 11.27/11.50 % --bmc1_unsat_core_children false
% 11.27/11.50 % --bmc1_unsat_core_extrapolate_axioms false
% 11.27/11.50 % --bmc1_out_stat full
% 11.27/11.50 % --bmc1_ground_init false
% 11.27/11.50 % --bmc1_pre_inst_next_state false
% 11.27/11.50 % --bmc1_pre_inst_state false
% 11.27/11.50 % --bmc1_pre_inst_reach_state false
% 11.27/11.50 % --bmc1_out_unsat_core false
% 11.27/11.50 % --bmc1_aig_witness_out false
% 11.27/11.50 % --bmc1_verbose false
% 11.27/11.50 % --bmc1_dump_clauses_tptp false
% 11.27/11.50 % --bmc1_dump_unsat_core_tptp false
% 11.27/11.50 % --bmc1_dump_file -
% 11.27/11.50 % --bmc1_ucm_expand_uc_limit 128
% 11.27/11.50 % --bmc1_ucm_n_expand_iterations 6
% 11.27/11.50 % --bmc1_ucm_extend_mode 1
% 11.27/11.50 % --bmc1_ucm_init_mode 2
% 11.27/11.50 % --bmc1_ucm_cone_mode none
% 11.27/11.50 % --bmc1_ucm_reduced_relation_type 0
% 11.27/11.50 % --bmc1_ucm_relax_model 4
% 11.27/11.50 % --bmc1_ucm_full_tr_after_sat true
% 11.27/11.50 % --bmc1_ucm_expand_neg_assumptions false
% 11.27/11.50 % --bmc1_ucm_layered_model none
% 11.27/11.50 % --bmc1_ucm_max_lemma_size 10
% 11.27/11.50
% 11.27/11.50 % ------ AIG Options
% 11.27/11.50
% 11.27/11.50 % --aig_mode false
% 11.27/11.50
% 11.27/11.50 % ------ Instantiation Options
% 11.27/11.50
% 11.27/11.50 % --instantiation_flag true
% 11.27/11.50 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 11.27/11.50 % --inst_solver_per_active 750
% 11.27/11.50 % --inst_solver_calls_frac 0.5
% 11.27/11.50 % --inst_passive_queue_type priority_queues
% 11.27/11.50 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 11.27/11.50 % --inst_passive_queues_freq [25;2]
% 11.27/11.50 % --inst_dismatching true
% 11.27/11.50 % --inst_eager_unprocessed_to_passive true
% 11.27/11.50 % --inst_prop_sim_given true
% 11.27/11.50 % --inst_prop_sim_new false
% 11.27/11.50 % --inst_orphan_elimination true
% 11.27/11.50 % --inst_learning_loop_flag true
% 11.27/11.50 % --inst_learning_start 3000
% 11.27/11.50 % --inst_learning_factor 2
% 11.27/11.50 % --inst_start_prop_sim_after_learn 3
% 11.27/11.50 % --inst_sel_renew solver
% 11.27/11.50 % --inst_lit_activity_flag true
% 11.27/11.50 % --inst_out_proof true
% 11.27/11.50
% 11.27/11.50 % ------ Resolution Options
% 11.27/11.50
% 11.27/11.50 % --resolution_flag true
% 11.27/11.50 % --res_lit_sel kbo_max
% 11.27/11.50 % --res_to_prop_solver none
% 11.27/11.50 % --res_prop_simpl_new false
% 11.27/11.50 % --res_prop_simpl_given false
% 11.27/11.50 % --res_passive_queue_type priority_queues
% 11.27/11.50 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 11.27/11.50 % --res_passive_queues_freq [15;5]
% 11.27/11.50 % --res_forward_subs full
% 11.27/11.50 % --res_backward_subs full
% 11.27/11.50 % --res_forward_subs_resolution true
% 11.27/11.50 % --res_backward_subs_resolution true
% 11.27/11.50 % --res_orphan_elimination false
% 11.27/11.50 % --res_time_limit 1000.
% 11.27/11.50 % --res_out_proof true
% 11.27/11.50 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_78b277.s
% 11.27/11.50 % --modulo true
% 11.27/11.50
% 11.27/11.50 % ------ Combination Options
% 11.27/11.50
% 11.27/11.50 % --comb_res_mult 1000
% 11.27/11.50 % --comb_inst_mult 300
% 11.27/11.50 % ------
% 11.27/11.50
% 11.27/11.50
% 11.27/11.50
% 11.27/11.50 % ------ Proving...
% 11.27/11.50 % warning: shown sat in sat incomplete mode
% 11.27/11.50 %
% 11.27/11.50
% 11.27/11.50
% 11.27/11.50
% 11.27/11.50
% 11.27/11.50 cnf(c_2383,plain,
% 11.27/11.50 ( X0 = X1
% 11.27/11.50 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 11.27/11.50 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 11.27/11.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4104_2) ).
% 11.27/11.50
% 11.27/11.50 cnf(c_10307,plain,
% 11.27/11.50 ( X0 = X1
% 11.27/11.50 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 11.27/11.50 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 11.27/11.50 inference(copy,[status(esa)],[c_2383]) ).
% 11.27/11.50
% 11.27/11.50 cnf(c_10308,plain,
% 11.27/11.50 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.27/11.50 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 11.27/11.50 | X3 = X4 ),
% 11.27/11.50 inference(rewriting,[status(thm)],[c_10307]) ).
% 11.27/11.50
% 11.27/11.50 cnf(c_2363,plain,
% 11.27/11.50 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.27/11.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0)
% 11.27/11.50 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.50 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4113_2) ).
% 11.27/11.50
% 11.27/11.50 cnf(c_10267,plain,
% 11.27/11.50 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.27/11.50 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2363]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10268,plain,
% 11.27/11.51 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.27/11.51 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10267]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2357,plain,
% 11.27/11.51 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4115_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10255,plain,
% 11.27/11.51 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X4,X0)),X2)),X3),X5,X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2357]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10256,plain,
% 11.27/11.51 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.27/11.51 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10255]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2351,plain,
% 11.27/11.51 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X0,X3,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4117_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10243,plain,
% 11.27/11.51 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X0,X3,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2351]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10244,plain,
% 11.27/11.51 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X0,X3,tc_nat) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10243]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2345,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X0,X3,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4119_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10231,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X0,X3,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2345]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10232,plain,
% 11.27/11.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.51 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10231]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2342,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X3,X0,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4120_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10225,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X3,X0,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2342]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10226,plain,
% 11.27/11.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat)
% 11.27/11.51 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10225]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2336,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X1)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),X1)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4122_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10213,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X1)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),X1)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2336]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10214,plain,
% 11.27/11.51 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.27/11.51 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10213]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2330,plain,
% 11.27/11.51 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X1)
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),X1)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4124_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10201,plain,
% 11.27/11.51 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5),X1)
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5),X1)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2330]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10202,plain,
% 11.27/11.51 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.27/11.51 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10201]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2312,plain,
% 11.27/11.51 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X1,X0,tc_nat)
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4133_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10165,plain,
% 11.27/11.51 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X1,X0,tc_nat)
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2312]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10166,plain,
% 11.27/11.51 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10165]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2309,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4134_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10159,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2309]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10160,plain,
% 11.27/11.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 11.27/11.51 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10159]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2306,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X1,X0,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4135_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10153,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X1,X0,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2306]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10154,plain,
% 11.27/11.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.51 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10153]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2259,plain,
% 11.27/11.51 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4)
% 11.27/11.51 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4158_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10059,plain,
% 11.27/11.51 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4)
% 11.27/11.51 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2259]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10060,plain,
% 11.27/11.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4)
% 11.27/11.51 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10059]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2256,plain,
% 11.27/11.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3) = X4
% 11.27/11.51 | ~ c_lessequals(X1,X0,tc_nat)
% 11.27/11.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4159_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10053,plain,
% 11.27/11.51 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3) = X4
% 11.27/11.51 | ~ c_lessequals(X1,X0,tc_nat)
% 11.27/11.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2256]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10054,plain,
% 11.27/11.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3) = X4
% 11.27/11.51 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10053]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2245,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Omod(X1,X2,tc_nat))),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4166_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10031,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Omod(X1,X2,tc_nat))),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X3,X0,tc_nat) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2245]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10032,plain,
% 11.27/11.51 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.27/11.51 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Divides_Odiv__class_Omod(X2,X0,tc_nat))),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10031]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2238,plain,
% 11.27/11.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4172_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10017,plain,
% 11.27/11.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2238]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10018,plain,
% 11.27/11.51 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10017]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2235,plain,
% 11.27/11.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4173_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10011,plain,
% 11.27/11.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2235]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_10012,plain,
% 11.27/11.51 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.51 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_10011]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2216,plain,
% 11.27/11.51 ( c_Type_Otyping(X0,c_Lambda_Osubst(X1,X2,X3),X4)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 11.27/11.51 | ~ c_Type_Otyping(X0,X2,X5) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4182_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9973,plain,
% 11.27/11.51 ( c_Type_Otyping(X0,c_Lambda_Osubst(X1,X2,X3),X4)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 11.27/11.51 | ~ c_Type_Otyping(X0,X2,X5) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2216]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9974,plain,
% 11.27/11.51 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 11.27/11.51 | c_Type_Otyping(X0,c_Lambda_Osubst(X3,X5,X1),X4)
% 11.27/11.51 | ~ c_Type_Otyping(X0,X5,X2) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9973]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2213,plain,
% 11.27/11.51 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 11.27/11.51 | ~ c_Type_Otyping(X2,X3,X1)
% 11.27/11.51 | ~ c_InductTermi_OIT(X3)
% 11.27/11.51 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 11.27/11.51 | ~ c_InductTermi_OIT(X4)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4183_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9967,plain,
% 11.27/11.51 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 11.27/11.51 | ~ c_Type_Otyping(X2,X3,X1)
% 11.27/11.51 | ~ c_InductTermi_OIT(X3)
% 11.27/11.51 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 11.27/11.51 | ~ c_InductTermi_OIT(X4)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2213]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9968,plain,
% 11.27/11.51 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.27/11.51 | ~ c_InductTermi_OIT(X1)
% 11.27/11.51 | ~ c_InductTermi_OIT(X0)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.27/11.51 | ~ c_Type_Otyping(X3,X1,X4)
% 11.27/11.51 | c_Type_Otype_OFun(X6,X4) != v_T____ ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9967]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2210,plain,
% 11.27/11.51 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.27/11.51 | ~ c_InductTermi_OIT(X0)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.27/11.51 | ~ c_InductTermi_OIT(X1)
% 11.27/11.51 | ~ c_Type_Otyping(X3,X1,X4)
% 11.27/11.51 | c_Type_Otype_OFun(X6,X4) != v_T____ ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4183_5) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9961,plain,
% 11.27/11.51 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.27/11.51 | ~ c_InductTermi_OIT(X0)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.27/11.51 | ~ c_InductTermi_OIT(X1)
% 11.27/11.51 | ~ c_Type_Otyping(X3,X1,X4)
% 11.27/11.51 | c_Type_Otype_OFun(X6,X4) != v_T____ ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2210]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9962,plain,
% 11.27/11.51 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.27/11.51 | ~ c_InductTermi_OIT(X0)
% 11.27/11.51 | ~ c_InductTermi_OIT(X1)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.27/11.51 | ~ c_Type_Otyping(X3,X1,X4)
% 11.27/11.51 | c_Type_Otype_OFun(X6,X4) != v_T____ ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9961]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2207,plain,
% 11.27/11.51 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 11.27/11.51 | ~ c_Type_Otyping(X2,X3,X0)
% 11.27/11.51 | ~ c_InductTermi_OIT(X3)
% 11.27/11.51 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 11.27/11.51 | ~ c_InductTermi_OIT(X4)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4184_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9955,plain,
% 11.27/11.51 ( c_Type_Otype_OFun(X0,X1) != v_T____
% 11.27/11.51 | ~ c_Type_Otyping(X2,X3,X0)
% 11.27/11.51 | ~ c_InductTermi_OIT(X3)
% 11.27/11.51 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 11.27/11.51 | ~ c_InductTermi_OIT(X4)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2207]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9956,plain,
% 11.27/11.51 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.27/11.51 | ~ c_InductTermi_OIT(X1)
% 11.27/11.51 | ~ c_InductTermi_OIT(X0)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.27/11.51 | ~ c_Type_Otyping(X3,X1,X4)
% 11.27/11.51 | c_Type_Otype_OFun(X4,X6) != v_T____ ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9955]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2204,plain,
% 11.27/11.51 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.27/11.51 | ~ c_InductTermi_OIT(X0)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.27/11.51 | ~ c_InductTermi_OIT(X1)
% 11.27/11.51 | ~ c_Type_Otyping(X3,X1,X4)
% 11.27/11.51 | c_Type_Otype_OFun(X4,X6) != v_T____ ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4184_5) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9949,plain,
% 11.27/11.51 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.27/11.51 | ~ c_InductTermi_OIT(X0)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.27/11.51 | ~ c_InductTermi_OIT(X1)
% 11.27/11.51 | ~ c_Type_Otyping(X3,X1,X4)
% 11.27/11.51 | c_Type_Otype_OFun(X4,X6) != v_T____ ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2204]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9950,plain,
% 11.27/11.51 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 11.27/11.51 | ~ c_InductTermi_OIT(X0)
% 11.27/11.51 | ~ c_InductTermi_OIT(X1)
% 11.27/11.51 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 11.27/11.51 | ~ c_Type_Otyping(X3,X1,X4)
% 11.27/11.51 | c_Type_Otype_OFun(X4,X6) != v_T____ ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9949]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2169,plain,
% 11.27/11.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),X1)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4202_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9879,plain,
% 11.27/11.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),X1)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2169]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9880,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.51 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9879]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2166,plain,
% 11.27/11.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),X1)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4203_2) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9873,plain,
% 11.27/11.51 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.51 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),X1)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2166]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9874,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.51 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9873]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2158,plain,
% 11.27/11.51 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)))
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),X1,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),c_Suc(X3)),tc_nat)
% 11.27/11.51 | ~ hBOOL(hAPP(X0,X3)) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4207_3) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9857,plain,
% 11.27/11.51 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)))
% 11.27/11.51 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),X1,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),c_Suc(X3)),tc_nat)
% 11.27/11.51 | ~ hBOOL(hAPP(X0,X3)) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2158]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9858,plain,
% 11.27/11.51 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X2,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Suc(X1)),tc_nat)
% 11.27/11.51 | hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(X2,X0,tc_nat)))
% 11.27/11.51 | ~ hBOOL(hAPP(X3,X1)) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9857]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2134,plain,
% 11.27/11.51 ( ~ class_Divides_Oring__div(X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4218_1) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9809,plain,
% 11.27/11.51 ( ~ class_Divides_Oring__div(X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X5,X3,X0),X2,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2134]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9810,plain,
% 11.27/11.51 ( ~ class_Divides_Oring__div(X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9809]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2130,plain,
% 11.27/11.51 ( ~ class_Divides_Osemiring__div(X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X2,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4219_1) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9801,plain,
% 11.27/11.51 ( ~ class_Divides_Osemiring__div(X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X5),X3),X2,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2130]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9802,plain,
% 11.27/11.51 ( ~ class_Divides_Osemiring__div(X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9801]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2126,plain,
% 11.27/11.51 ( ~ class_Divides_Osemiring__div(X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X5),X3),X2,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4220_1) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9793,plain,
% 11.27/11.51 ( ~ class_Divides_Osemiring__div(X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X1,X2,X0) != c_Divides_Odiv__class_Omod(X3,X2,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X5),X3),X2,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X4,X2,X0) != c_Divides_Odiv__class_Omod(X5,X2,X0) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2126]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9794,plain,
% 11.27/11.51 ( ~ class_Divides_Osemiring__div(X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.27/11.51 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9793]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2120,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4221_3) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9781,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2120]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9782,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9781]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2114,plain,
% 11.27/11.51 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X1,X2,tc_nat)
% 11.27/11.51 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4226_1) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9769,plain,
% 11.27/11.51 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.27/11.51 | ~ c_lessequals(X1,X2,tc_nat)
% 11.27/11.51 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2114]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9770,plain,
% 11.27/11.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X0,X2,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.27/11.51 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9769]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2112,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X2,X0,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4226_3) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9765,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X2,X0,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2112]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9766,plain,
% 11.27/11.51 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.51 | ~ c_lessequals(X0,X2,tc_nat)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 11.27/11.51 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9765]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2106,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.51 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4228_1) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9753,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.51 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2106]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9754,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9753]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2102,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4228_5) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9745,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2102]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9746,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9745]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2100,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.51 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 11.27/11.51 | ~ c_lessequals(X2,X4,X0) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4229_1) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9741,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.51 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 11.27/11.51 | ~ c_lessequals(X2,X4,X0) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2100]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9742,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.51 | ~ c_lessequals(X1,X4,X0)
% 11.27/11.51 | ~ c_lessequals(X2,X3,X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9741]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2096,plain,
% 11.27/11.51 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.51 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.51 | ~ c_lessequals(X2,X4,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4229_5) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9733,plain,
% 11.27/11.51 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.51 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.51 | ~ c_lessequals(X2,X4,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2096]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9734,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.51 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.51 | ~ c_lessequals(X2,X4,X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9733]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2094,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.51 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 11.27/11.51 | ~ c_lessequals(X4,X2,X0) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4230_1) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9729,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.51 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 11.27/11.51 | ~ c_lessequals(X4,X2,X0) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2094]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9730,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 11.27/11.51 | ~ c_lessequals(X1,X4,X0)
% 11.27/11.51 | ~ c_lessequals(X3,X2,X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9729]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2090,plain,
% 11.27/11.51 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.51 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.51 | ~ c_lessequals(X2,X4,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 11.27/11.51 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4230_5) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9721,plain,
% 11.27/11.51 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.51 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.51 | ~ c_lessequals(X2,X4,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Opordered__semiring(X0) ),
% 11.27/11.51 inference(copy,[status(esa)],[c_2090]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_9722,plain,
% 11.27/11.51 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4),X0)
% 11.27/11.51 | ~ c_lessequals(X3,X1,X0)
% 11.27/11.51 | ~ c_lessequals(X2,X4,X0) ),
% 11.27/11.51 inference(rewriting,[status(thm)],[c_9721]) ).
% 11.27/11.51
% 11.27/11.51 cnf(c_2084,plain,
% 11.27/11.51 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.51 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.27/11.51 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.51 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.51 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4231_5) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9709,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.52 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_2084]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9710,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(X2,X3,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9709]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_2078,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.52 | ~ c_lessequals(X2,X4,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4232_5) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9697,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.52 | ~ c_lessequals(X2,X4,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_2078]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9698,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(X2,X3,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X3),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9697]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_2076,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4233_1) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9693,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_2076]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9694,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9693]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_2058,plain,
% 11.27/11.52 ( X0 = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),X1,tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),c_Suc(X0)),tc_nat) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4239_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9657,plain,
% 11.27/11.52 ( X0 = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),X1,tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),c_Suc(X0)),tc_nat) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_2058]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9658,plain,
% 11.27/11.52 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X2,tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Suc(X1)),tc_nat)
% 11.27/11.52 | X1 = c_Divides_Odiv__class_Odiv(X2,X0,tc_nat) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9657]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_2039,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4247_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9619,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_2039]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9620,plain,
% 11.27/11.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9619]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_2035,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4248_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9611,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_2035]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9612,plain,
% 11.27/11.52 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9611]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_2031,plain,
% 11.27/11.52 ( c_lessequals(X0,X1,X2)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4249_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9603,plain,
% 11.27/11.52 ( c_lessequals(X0,X1,X2)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_2031]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9604,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.27/11.52 | c_lessequals(X1,X3,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9603]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_2027,plain,
% 11.27/11.52 ( c_lessequals(X0,X1,X2)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4250_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9595,plain,
% 11.27/11.52 ( c_lessequals(X0,X1,X2)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_2027]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9596,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | c_lessequals(X2,X3,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9595]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_2023,plain,
% 11.27/11.52 ( c_lessequals(X0,X1,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4251_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9587,plain,
% 11.27/11.52 ( c_lessequals(X0,X1,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_2023]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9588,plain,
% 11.27/11.52 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | c_lessequals(X2,X3,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9587]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_2019,plain,
% 11.27/11.52 ( c_lessequals(X0,X1,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4252_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9579,plain,
% 11.27/11.52 ( c_lessequals(X0,X1,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_2019]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9580,plain,
% 11.27/11.52 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | c_lessequals(X3,X2,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9579]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1972,plain,
% 11.27/11.52 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.27/11.52 | ~ c_lessequals(X3,X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4267_4) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9485,plain,
% 11.27/11.52 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.27/11.52 | ~ c_lessequals(X3,X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1972]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9486,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.27/11.52 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ c_lessequals(X3,X2,tc_nat) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9485]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1967,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4268_4) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9475,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1967]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9476,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9475]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1959,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4270_4) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9459,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1959]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9460,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.52 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9459]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1955,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4271_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9451,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1955]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9452,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9451]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1951,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4272_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9443,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1951]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9444,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9443]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1925,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4284_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9391,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1925]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9392,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9391]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1921,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4285_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9383,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1921]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9384,plain,
% 11.27/11.52 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9383]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1917,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4286_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9375,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1917]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9376,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9375]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1913,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4287_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9367,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1913]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9368,plain,
% 11.27/11.52 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9367]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1912,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4288_0) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9365,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1912]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9366,plain,
% 11.27/11.52 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9365]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1909,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4288_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9359,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1909]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9360,plain,
% 11.27/11.52 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9359]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1908,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4289_0) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9357,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1908]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9358,plain,
% 11.27/11.52 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9357]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1905,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4289_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9351,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1905]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9352,plain,
% 11.27/11.52 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9351]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1897,plain,
% 11.27/11.52 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.52 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.27/11.52 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4293_1) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9335,plain,
% 11.27/11.52 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.52 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.27/11.52 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1897]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9336,plain,
% 11.27/11.52 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X0,X2,tc_nat)
% 11.27/11.52 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9335]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1895,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.27/11.52 | ~ c_lessequals(X1,X0,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X1,X2,tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4293_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9331,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.27/11.52 | ~ c_lessequals(X1,X0,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X1,X2,tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1895]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9332,plain,
% 11.27/11.52 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X0,X2,tc_nat)
% 11.27/11.52 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9331]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1876,plain,
% 11.27/11.52 ( c_lessequals(X0,X1,tc_nat)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4299_2) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9293,plain,
% 11.27/11.52 ( c_lessequals(X0,X1,tc_nat)
% 11.27/11.52 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1876]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9294,plain,
% 11.27/11.52 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.27/11.52 | c_lessequals(X0,X2,tc_nat)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9293]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1862,plain,
% 11.27/11.52 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.27/11.52 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.52 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 11.27/11.52 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4306_0) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9265,plain,
% 11.27/11.52 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.27/11.52 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.52 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 11.27/11.52 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1862]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9266,plain,
% 11.27/11.52 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.27/11.52 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 11.27/11.52 | ~ c_lessequals(X3,X4,X1)
% 11.27/11.52 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9265]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1849,plain,
% 11.27/11.52 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X1,X0,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4314_2) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9239,plain,
% 11.27/11.52 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X1,X0,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1849]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9240,plain,
% 11.27/11.52 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X0,X2,tc_nat)
% 11.27/11.52 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9239]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1840,plain,
% 11.27/11.52 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X1,X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4318_2) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9221,plain,
% 11.27/11.52 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X1,X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1840]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9222,plain,
% 11.27/11.52 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.27/11.52 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9221]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1820,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.27/11.52 | X1 = X3
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4325_1) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9181,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.27/11.52 | X1 = X3
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1820]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9182,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 11.27/11.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 11.27/11.52 | X2 = X1 ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9181]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1816,plain,
% 11.27/11.52 ( X0 = X1
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 11.27/11.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4325_5) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9173,plain,
% 11.27/11.52 ( X0 = X1
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 11.27/11.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1816]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9174,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 11.27/11.52 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3)
% 11.27/11.52 | X1 = X2 ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9173]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1814,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.27/11.52 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4327_1) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9169,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.27/11.52 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1814]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9170,plain,
% 11.27/11.52 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X2,X0)
% 11.27/11.52 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9169]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1811,plain,
% 11.27/11.52 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4327_4) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9163,plain,
% 11.27/11.52 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1811]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9164,plain,
% 11.27/11.52 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0)
% 11.27/11.52 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9163]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1809,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.27/11.52 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4328_1) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9159,plain,
% 11.27/11.52 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.27/11.52 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1809]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9160,plain,
% 11.27/11.52 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 11.27/11.52 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9159]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1806,plain,
% 11.27/11.52 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4328_4) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9153,plain,
% 11.27/11.52 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1806]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9154,plain,
% 11.27/11.52 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X1,X0)
% 11.27/11.52 | ~ c_lessequals(X2,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9153]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1794,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4331_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9129,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1794]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9130,plain,
% 11.27/11.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9129]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1766,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4338_3) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9073,plain,
% 11.27/11.52 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(copy,[status(esa)],[c_1766]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_9074,plain,
% 11.27/11.52 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.52 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.52 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.52 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.52 inference(rewriting,[status(thm)],[c_9073]) ).
% 11.27/11.52
% 11.27/11.52 cnf(c_1750,plain,
% 11.27/11.52 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_lessequals(X3,X2,X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4342_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_9041,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_lessequals(X3,X2,X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1750]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_9042,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X3,X2,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_9041]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1746,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.27/11.53 | ~ c_lessequals(X3,X1,X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4343_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_9033,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.27/11.53 | ~ c_lessequals(X3,X1,X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1746]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_9034,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X3,X1,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_9033]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1738,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(X2,X3,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4345_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_9017,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(X2,X3,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1738]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_9018,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_lessequals(X2,X3,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_9017]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1734,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X3,X2,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4346_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_9009,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X3,X2,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1734]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_9010,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_lessequals(X3,X2,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_9009]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1726,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(X2,X3,tc_nat)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4348_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8993,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(X2,X3,tc_nat)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1726]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8994,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_lessequals(X2,X3,tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8993]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1714,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_lessequals(X2,X3,tc_nat)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4351_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8969,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_lessequals(X2,X3,tc_nat)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1714]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8970,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8969]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1696,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.27/11.53 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.27/11.53 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4357_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8933,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.27/11.53 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.27/11.53 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1696]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8934,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.27/11.53 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8933]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1694,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4358_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8929,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1694]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8930,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8929]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1690,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.27/11.53 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 11.27/11.53 | ~ c_lessequals(X3,X4,X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4359_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8921,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.27/11.53 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 11.27/11.53 | ~ c_lessequals(X3,X4,X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1690]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8922,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.27/11.53 | ~ c_lessequals(X2,X4,X0)
% 11.27/11.53 | ~ c_lessequals(X1,X3,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8921]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1670,plain,
% 11.27/11.53 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.53 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4367_2) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8881,plain,
% 11.27/11.53 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.53 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1670]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8882,plain,
% 11.27/11.53 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),tc_nat)
% 11.27/11.53 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8881]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1663,plain,
% 11.27/11.53 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4370_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8867,plain,
% 11.27/11.53 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1663]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8868,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8867]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1646,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4378_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8833,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1646]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8834,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8833]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1644,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4378_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8829,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1644]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8830,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8829]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1642,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4379_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8825,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1642]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8826,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8825]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1640,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4379_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8821,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1640]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8822,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8821]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1588,plain,
% 11.27/11.53 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),tc_nat)
% 11.27/11.53 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4404_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8717,plain,
% 11.27/11.53 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1),tc_nat)
% 11.27/11.53 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1588]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8718,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 11.27/11.53 | ~ c_lessequals(X1,X3,tc_nat)
% 11.27/11.53 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8717]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1585,plain,
% 11.27/11.53 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.53 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4405_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8711,plain,
% 11.27/11.53 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.53 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1585]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8712,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8711]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1582,plain,
% 11.27/11.53 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 11.27/11.53 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4406_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8705,plain,
% 11.27/11.53 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat)
% 11.27/11.53 | ~ c_lessequals(X2,X3,tc_nat) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1582]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8706,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.27/11.53 | ~ c_lessequals(X1,X3,tc_nat)
% 11.27/11.53 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8705]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1571,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4411_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8683,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1571]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8684,plain,
% 11.27/11.53 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8683]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1567,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4412_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8675,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1567]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8676,plain,
% 11.27/11.53 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8675]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1563,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4413_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8667,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1563]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8668,plain,
% 11.27/11.53 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8667]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1559,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4414_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8659,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1559]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8660,plain,
% 11.27/11.53 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8659]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1555,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4415_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8651,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1555]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8652,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8651]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1554,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4416_0) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8649,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1554]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8650,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8649]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1550,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4417_0) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8641,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1550]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8642,plain,
% 11.27/11.53 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8641]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1547,plain,
% 11.27/11.53 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.53 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4417_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8635,plain,
% 11.27/11.53 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.53 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1547]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8636,plain,
% 11.27/11.53 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8635]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1543,plain,
% 11.27/11.53 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4418_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8627,plain,
% 11.27/11.53 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1543]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8628,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8627]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1538,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.53 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Suc(X2))
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.27/11.53 | X1 = X3
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4420_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8617,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.53 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),c_Suc(X2))
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.27/11.53 | X1 = X3
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1538]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8618,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Suc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X3))
% 11.27/11.53 | X2 = X1 ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8617]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1535,plain,
% 11.27/11.53 ( X0 = X1
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.27/11.53 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Suc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Suc(X3))
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4420_4) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8611,plain,
% 11.27/11.53 ( X0 = X1
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.27/11.53 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Suc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Suc(X3))
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1535]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8612,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X3)) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Suc(X3))
% 11.27/11.53 | X1 = X2 ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8611]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1519,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4429_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8579,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1519]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8580,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Oone__class_Oone(X0),X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8579]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1495,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4439_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8531,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1495]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8532,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8531]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1487,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4441_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8515,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1487]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8516,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8515]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1483,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4442_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8507,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1483]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8508,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8507]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1479,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4443_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8499,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1479]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8500,plain,
% 11.27/11.53 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8499]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1475,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4444_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8491,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1475]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8492,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8491]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1471,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4445_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8483,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1471]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8484,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8483]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1467,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4446_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8475,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1467]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8476,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8475]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1457,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4448_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8455,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1457]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8456,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8455]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1451,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4450_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8443,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1451]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8444,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8443]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1441,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4452_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8423,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1441]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8424,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8423]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1421,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4457_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8383,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1421]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8384,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8383]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1417,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4458_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8375,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1417]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8376,plain,
% 11.27/11.53 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8375]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1413,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4459_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8367,plain,
% 11.27/11.53 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1413]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8368,plain,
% 11.27/11.53 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8367]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1405,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4461_3) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8351,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1405]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8352,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8351]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1403,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4462_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8347,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1403]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8348,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8347]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1399,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4463_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8339,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1399]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8340,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.53 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8339]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1395,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4464_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8331,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1395]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8332,plain,
% 11.27/11.53 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8331]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1391,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4465_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8323,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1391]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8324,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.53 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8323]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1387,plain,
% 11.27/11.53 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.27/11.53 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.27/11.53 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4466_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8315,plain,
% 11.27/11.53 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.27/11.53 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.27/11.53 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1387]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8316,plain,
% 11.27/11.53 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.27/11.53 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.27/11.53 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8315]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1384,plain,
% 11.27/11.53 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4467_1) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8309,plain,
% 11.27/11.53 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.27/11.53 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1384]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8310,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8309]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1374,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 11.27/11.53 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.27/11.53 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4469_4) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8289,plain,
% 11.27/11.53 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 11.27/11.53 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.27/11.53 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1374]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8290,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.27/11.53 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.27/11.53 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8289]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1364,plain,
% 11.27/11.53 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.27/11.53 | ~ c_lessequals(X0,X2,X1)
% 11.27/11.53 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.27/11.53 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4471_4) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8269,plain,
% 11.27/11.53 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 11.27/11.53 | ~ c_lessequals(X0,X2,X1)
% 11.27/11.53 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.27/11.53 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.27/11.53 inference(copy,[status(esa)],[c_1364]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8270,plain,
% 11.27/11.53 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.27/11.53 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.53 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 11.27/11.53 | ~ c_lessequals(X2,X3,X0) ),
% 11.27/11.53 inference(rewriting,[status(thm)],[c_8269]) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_1359,plain,
% 11.27/11.53 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.27/11.53 | ~ c_lessequals(X0,X3,X1)
% 11.27/11.53 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.27/11.53 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.27/11.53 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4472_4) ).
% 11.27/11.53
% 11.27/11.53 cnf(c_8259,plain,
% 11.27/11.53 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.27/11.53 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.27/11.53 | ~ c_lessequals(X0,X3,X1)
% 11.27/11.54 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1359]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8260,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.27/11.54 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.54 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.27/11.54 | ~ c_lessequals(X2,X3,X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8259]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1332,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4481_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8205,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1332]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8206,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8205]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1329,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4482_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8199,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1329]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8200,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8199]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1325,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 11.27/11.54 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4483_3) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8191,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 11.27/11.54 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1325]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8192,plain,
% 11.27/11.54 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8191]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1314,plain,
% 11.27/11.54 ( ~ class_Orderings_Olinorder(X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4488_1) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8169,plain,
% 11.27/11.54 ( ~ class_Orderings_Olinorder(X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1314]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8170,plain,
% 11.27/11.54 ( ~ class_Orderings_Olinorder(X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8169]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1302,plain,
% 11.27/11.54 ( ~ class_Orderings_Olinorder(X0)
% 11.27/11.54 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.54 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 11.27/11.54 | ~ c_lessequals(X3,X2,X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4491_1) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8145,plain,
% 11.27/11.54 ( ~ class_Orderings_Olinorder(X0)
% 11.27/11.54 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.54 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 11.27/11.54 | ~ c_lessequals(X3,X2,X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1302]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8146,plain,
% 11.27/11.54 ( ~ class_Orderings_Olinorder(X0)
% 11.27/11.54 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.27/11.54 | ~ c_lessequals(X2,X3,X0)
% 11.27/11.54 | ~ c_lessequals(X1,X3,X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8145]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1290,plain,
% 11.27/11.54 ( ~ class_Orderings_Olinorder(X0)
% 11.27/11.54 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.54 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 11.27/11.54 | ~ c_lessequals(X1,X3,X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4494_1) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8121,plain,
% 11.27/11.54 ( ~ class_Orderings_Olinorder(X0)
% 11.27/11.54 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.54 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 11.27/11.54 | ~ c_lessequals(X1,X3,X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1290]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8122,plain,
% 11.27/11.54 ( ~ class_Orderings_Olinorder(X0)
% 11.27/11.54 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.27/11.54 | ~ c_lessequals(X1,X3,X0)
% 11.27/11.54 | ~ c_lessequals(X1,X2,X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8121]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1286,plain,
% 11.27/11.54 ( ~ class_Orderings_Olinorder(X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4495_1) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8113,plain,
% 11.27/11.54 ( ~ class_Orderings_Olinorder(X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1286]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8114,plain,
% 11.27/11.54 ( ~ class_Orderings_Olinorder(X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8113]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1275,plain,
% 11.27/11.54 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 11.27/11.54 | ~ c_lessequals(X1,X2,tc_nat)
% 11.27/11.54 | X0 = X2
% 11.27/11.54 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4499_1) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8091,plain,
% 11.27/11.54 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 11.27/11.54 | ~ c_lessequals(X1,X2,tc_nat)
% 11.27/11.54 | X0 = X2
% 11.27/11.54 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1275]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8092,plain,
% 11.27/11.54 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.54 | ~ c_lessequals(X0,X2,tc_nat)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 11.27/11.54 | X2 = X1 ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8091]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1273,plain,
% 11.27/11.54 ( X0 = X1
% 11.27/11.54 | ~ c_lessequals(X2,X0,tc_nat)
% 11.27/11.54 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4499_3) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8087,plain,
% 11.27/11.54 ( X0 = X1
% 11.27/11.54 | ~ c_lessequals(X2,X0,tc_nat)
% 11.27/11.54 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1273]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8088,plain,
% 11.27/11.54 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.54 | ~ c_lessequals(X0,X2,tc_nat)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 11.27/11.54 | X1 = X2 ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8087]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1270,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4500_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8081,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1270]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8082,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8081]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1251,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4509_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8043,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1251]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8044,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8043]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1248,plain,
% 11.27/11.54 ( c_lessequals(X0,X1,X2)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4510_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8037,plain,
% 11.27/11.54 ( c_lessequals(X0,X1,X2)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1248]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8038,plain,
% 11.27/11.54 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.27/11.54 | c_lessequals(X0,X1,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8037]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1243,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.27/11.54 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4513_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8027,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.27/11.54 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1243]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8028,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.54 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8027]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1240,plain,
% 11.27/11.54 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.54 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.54 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4514_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8021,plain,
% 11.27/11.54 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.54 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.54 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1240]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8022,plain,
% 11.27/11.54 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.54 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.54 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8021]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1237,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.54 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4515_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8015,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.54 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1237]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8016,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.54 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8015]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1234,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.54 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4516_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8009,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.27/11.54 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1234]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8010,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.54 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8009]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1231,plain,
% 11.27/11.54 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.27/11.54 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4517_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8003,plain,
% 11.27/11.54 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.27/11.54 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1231]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8004,plain,
% 11.27/11.54 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.27/11.54 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.54 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_8003]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1229,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4518_1) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7999,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1229]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_8000,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7999]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1223,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4522_0) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7987,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1223]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7988,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7987]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1220,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4522_3) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7981,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1220]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7982,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7981]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1219,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4523_0) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7979,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1219]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7980,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7979]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1216,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4523_3) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7973,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1216]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7974,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7973]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1215,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.27/11.54 | ~ c_lessequals(X4,X3,X0)
% 11.27/11.54 | c_lessequals(X2,X1,X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4524_0) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7971,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.27/11.54 | ~ c_lessequals(X4,X3,X0)
% 11.27/11.54 | c_lessequals(X2,X1,X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1215]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7972,plain,
% 11.27/11.54 ( ~ c_lessequals(X0,X1,X2)
% 11.27/11.54 | c_lessequals(X3,X4,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7971]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1212,plain,
% 11.27/11.54 ( c_lessequals(X0,X1,X2)
% 11.27/11.54 | ~ c_lessequals(X3,X4,X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4524_3) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7965,plain,
% 11.27/11.54 ( c_lessequals(X0,X1,X2)
% 11.27/11.54 | ~ c_lessequals(X3,X4,X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1212]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7966,plain,
% 11.27/11.54 ( c_lessequals(X0,X1,X2)
% 11.27/11.54 | ~ c_lessequals(X3,X4,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7965]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1211,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.27/11.54 | ~ c_lessequals(X2,X1,X0)
% 11.27/11.54 | c_lessequals(X4,X3,X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4525_0) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7963,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 11.27/11.54 | ~ c_lessequals(X2,X1,X0)
% 11.27/11.54 | c_lessequals(X4,X3,X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1211]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7964,plain,
% 11.27/11.54 ( ~ c_lessequals(X0,X1,X2)
% 11.27/11.54 | c_lessequals(X3,X4,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7963]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1208,plain,
% 11.27/11.54 ( c_lessequals(X0,X1,X2)
% 11.27/11.54 | ~ c_lessequals(X3,X4,X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4525_3) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7957,plain,
% 11.27/11.54 ( c_lessequals(X0,X1,X2)
% 11.27/11.54 | ~ c_lessequals(X3,X4,X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1208]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7958,plain,
% 11.27/11.54 ( c_lessequals(X0,X1,X2)
% 11.27/11.54 | ~ c_lessequals(X3,X4,X2)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7957]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1138,plain,
% 11.27/11.54 ( c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1)
% 11.27/11.54 | ~ c_lessequals(X2,X0,tc_nat)
% 11.27/11.54 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4554_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7817,plain,
% 11.27/11.54 ( c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1)
% 11.27/11.54 | ~ c_lessequals(X2,X0,tc_nat)
% 11.27/11.54 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1138]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7818,plain,
% 11.27/11.54 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.54 | ~ class_Ring__and__Field_Oring__1(X2)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(c_Nat_Osemiring__1__class_Oof__nat(X1,X2),c_Nat_Osemiring__1__class_Oof__nat(X0,X2),X2) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7817]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1122,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.54 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4568_1) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7785,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.54 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1122]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7786,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7785]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1119,plain,
% 11.27/11.54 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4568_4) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7779,plain,
% 11.27/11.54 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1119]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7780,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7779]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1117,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.54 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4569_1) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7775,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.54 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1117]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7776,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7775]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1114,plain,
% 11.27/11.54 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4569_4) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7769,plain,
% 11.27/11.54 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.54 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1114]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7770,plain,
% 11.27/11.54 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.27/11.54 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7769]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1099,plain,
% 11.27/11.54 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4578_0) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7739,plain,
% 11.27/11.54 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1099]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7740,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7739]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1080,plain,
% 11.27/11.54 ( X0 = X1
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 11.27/11.54 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)
% 11.27/11.54 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4586_3) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7701,plain,
% 11.27/11.54 ( X0 = X1
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 11.27/11.54 | hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0) != hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1)
% 11.27/11.54 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1080]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7702,plain,
% 11.27/11.54 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.27/11.54 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)
% 11.27/11.54 | X2 = X3 ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7701]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1039,plain,
% 11.27/11.54 ( ~ hBOOL(hAPP(X0,X1))
% 11.27/11.54 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X2))
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4604_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7619,plain,
% 11.27/11.54 ( ~ hBOOL(hAPP(X0,X1))
% 11.27/11.54 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X2))
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1039]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7620,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X1,X2),tc_nat)
% 11.27/11.54 | hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X1,X0))
% 11.27/11.54 | ~ hBOOL(hAPP(X1,X2)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7619]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_1038,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat)
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X2)) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4604_3) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7617,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat)
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X2)) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_1038]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7618,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X1,X2),tc_nat)
% 11.27/11.54 | hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X1,X2))
% 11.27/11.54 | ~ hBOOL(hAPP(X1,X0)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7617]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_969,plain,
% 11.27/11.54 ( X0 = X1
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4636_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7479,plain,
% 11.27/11.54 ( X0 = X1
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_969]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7480,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.27/11.54 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 11.27/11.54 | X1 = X2 ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7479]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_957,plain,
% 11.27/11.54 ( ~ class_Orderings_Opreorder(X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.27/11.54 | ~ c_lessequals(X3,X1,X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4641_1) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7455,plain,
% 11.27/11.54 ( ~ class_Orderings_Opreorder(X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.27/11.54 | ~ c_lessequals(X3,X1,X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_957]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7456,plain,
% 11.27/11.54 ( ~ class_Orderings_Opreorder(X0)
% 11.27/11.54 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7455]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_955,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ c_lessequals(X0,X3,X2)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.27/11.54 | ~ class_Orderings_Opreorder(X2) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4641_3) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7451,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ c_lessequals(X0,X3,X2)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.27/11.54 | ~ class_Orderings_Opreorder(X2) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_955]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7452,plain,
% 11.27/11.54 ( ~ class_Orderings_Opreorder(X0)
% 11.27/11.54 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7451]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_949,plain,
% 11.27/11.54 ( ~ class_Orderings_Oorder(X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.54 | ~ c_lessequals(X2,X3,X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4643_1) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7439,plain,
% 11.27/11.54 ( ~ class_Orderings_Oorder(X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.27/11.54 | ~ c_lessequals(X2,X3,X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_949]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7440,plain,
% 11.27/11.54 ( ~ class_Orderings_Oorder(X0)
% 11.27/11.54 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7439]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_947,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ c_lessequals(X3,X1,X2)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.27/11.54 | ~ class_Orderings_Oorder(X2) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4643_3) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7435,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.54 | ~ c_lessequals(X3,X1,X2)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.27/11.54 | ~ class_Orderings_Oorder(X2) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_947]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7436,plain,
% 11.27/11.54 ( ~ class_Orderings_Oorder(X0)
% 11.27/11.54 | ~ c_lessequals(X1,X2,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7435]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_916,plain,
% 11.27/11.54 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4653_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7373,plain,
% 11.27/11.54 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_916]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7374,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.27/11.54 | c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7373]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_914,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4654_1) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7369,plain,
% 11.27/11.54 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_914]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7370,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7369]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_858,plain,
% 11.27/11.54 ( c_lessequals(X0,X1,X2)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.27/11.54 | ~ c_lessequals(X1,X0,X2)
% 11.27/11.54 | ~ class_Orderings_Opreorder(X2) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4682_3) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7257,plain,
% 11.27/11.54 ( c_lessequals(X0,X1,X2)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.27/11.54 | ~ c_lessequals(X1,X0,X2)
% 11.27/11.54 | ~ class_Orderings_Opreorder(X2) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_858]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7258,plain,
% 11.27/11.54 ( ~ class_Orderings_Opreorder(X0)
% 11.27/11.54 | c_lessequals(X1,X2,X0)
% 11.27/11.54 | ~ c_lessequals(X2,X1,X0)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7257]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_846,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xlexn__Xinduct__1(X0)))) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4688_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7233,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xlexn__Xinduct__1(X0)))) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_846]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7234,plain,
% 11.27/11.54 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xlexn__Xinduct__1(X0))))
% 11.27/11.54 | hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7233]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_843,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4689_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7227,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_843]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7228,plain,
% 11.27/11.54 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))))
% 11.27/11.54 | hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7227]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_840,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0)))) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4690_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7221,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0)))) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_840]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7222,plain,
% 11.27/11.54 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 11.27/11.54 | hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7221]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_837,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0)))) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4691_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7215,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0)))) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_837]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7216,plain,
% 11.27/11.54 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 11.27/11.54 | hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7215]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_834,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4692_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7209,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_834]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7210,plain,
% 11.27/11.54 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 11.27/11.54 | hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7209]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_831,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4693_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7203,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_831]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7204,plain,
% 11.27/11.54 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 11.27/11.54 | hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7203]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_829,plain,
% 11.27/11.54 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.27/11.54 | X2 = X1 ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4694_1) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7199,plain,
% 11.27/11.54 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.27/11.54 | X2 = X1 ),
% 11.27/11.54 inference(copy,[status(esa)],[c_829]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7200,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.27/11.54 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 11.27/11.54 | X1 = X0 ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7199]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_827,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.54 | X0 = X1
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.27/11.54 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4694_3) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7195,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.54 | X0 = X1
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.27/11.54 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_827]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7196,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.54 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.27/11.54 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 11.27/11.54 | X0 = X1 ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7195]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_769,plain,
% 11.27/11.54 ( X0 = X1
% 11.27/11.54 | ~ c_lessequals(X1,X0,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4715_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7079,plain,
% 11.27/11.54 ( X0 = X1
% 11.27/11.54 | ~ c_lessequals(X1,X0,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_769]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7080,plain,
% 11.27/11.54 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 11.27/11.54 | X1 = X0 ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7079]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_759,plain,
% 11.27/11.54 ( X0 = X1
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4719_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7059,plain,
% 11.27/11.54 ( X0 = X1
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_759]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7060,plain,
% 11.27/11.54 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.27/11.54 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.27/11.54 | X0 = X1 ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7059]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_733,plain,
% 11.27/11.54 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4731_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7007,plain,
% 11.27/11.54 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_733]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_7008,plain,
% 11.27/11.54 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_7007]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_711,plain,
% 11.27/11.54 ( ~ c_Lambda_Obeta(X0,X1)
% 11.27/11.54 | ~ c_Type_Otyping(X2,X0,X3)
% 11.27/11.54 | c_Type_Otyping(X2,X1,X3) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4742_0) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6963,plain,
% 11.27/11.54 ( ~ c_Lambda_Obeta(X0,X1)
% 11.27/11.54 | ~ c_Type_Otyping(X2,X0,X3)
% 11.27/11.54 | c_Type_Otyping(X2,X1,X3) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_711]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6964,plain,
% 11.27/11.54 ( ~ c_Type_Otyping(X0,X1,X2)
% 11.27/11.54 | c_Type_Otyping(X0,X3,X2)
% 11.27/11.54 | ~ c_Lambda_Obeta(X1,X3) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_6963]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_706,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4743_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6953,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_706]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6954,plain,
% 11.27/11.54 ( c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 11.27/11.54 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_6953]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_699,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0))) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4750_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6939,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0))) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_699]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6940,plain,
% 11.27/11.54 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 11.27/11.54 | hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_6939]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_693,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4753_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6927,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_693]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6928,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_6927]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_690,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))))
% 11.27/11.54 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4754_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6921,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))))
% 11.27/11.54 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_690]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6922,plain,
% 11.27/11.54 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xzero__induct__1__1(X0))))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_6921]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_646,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 11.27/11.54 | hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4766_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6833,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 11.27/11.54 | hBOOL(hAPP(X0,X1))
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_646]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6834,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 11.27/11.54 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.27/11.54 | hBOOL(hAPP(X0,X1)) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_6833]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_606,plain,
% 11.27/11.54 ( c_Suc(X0) = X1
% 11.27/11.54 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4781_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6753,plain,
% 11.27/11.54 ( c_Suc(X0) = X1
% 11.27/11.54 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_606]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6754,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.27/11.54 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.54 | c_Suc(X0) = X1 ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_6753]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_521,plain,
% 11.27/11.54 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.54 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.54 | ~ class_Power_Opower(X1)
% 11.27/11.54 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.27/11.54 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.27/11.54 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4825_5) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6583,plain,
% 11.27/11.54 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.54 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.54 | ~ class_Power_Opower(X1)
% 11.27/11.54 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.27/11.54 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.27/11.54 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_521]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6584,plain,
% 11.27/11.54 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.27/11.54 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.27/11.54 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.27/11.54 | ~ class_Power_Opower(X0)
% 11.27/11.54 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_6583]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_516,plain,
% 11.27/11.54 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | ~ class_Power_Opower(X0)
% 11.27/11.54 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.27/11.54 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.27/11.54 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4828_4) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6573,plain,
% 11.27/11.54 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.54 | ~ class_Power_Opower(X0)
% 11.27/11.54 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.27/11.54 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.27/11.54 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 11.27/11.54 inference(copy,[status(esa)],[c_516]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6574,plain,
% 11.27/11.54 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.27/11.54 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.27/11.54 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.27/11.54 | ~ class_Power_Opower(X0)
% 11.27/11.54 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) != c_HOL_Ozero__class_Ozero(X0) ),
% 11.27/11.54 inference(rewriting,[status(thm)],[c_6573]) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_513,plain,
% 11.27/11.54 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.54 | X1 = X0
% 11.27/11.54 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 11.27/11.54 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4829_2) ).
% 11.27/11.54
% 11.27/11.54 cnf(c_6567,plain,
% 11.27/11.55 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.55 | X1 = X0
% 11.27/11.55 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_513]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_6568,plain,
% 11.27/11.55 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.55 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 11.27/11.55 | X1 = X0 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_6567]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_495,plain,
% 11.27/11.55 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.27/11.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.55 | X2 = X1
% 11.27/11.55 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4834_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_6531,plain,
% 11.27/11.55 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 11.27/11.55 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.27/11.55 | X2 = X1
% 11.27/11.55 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_495]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_6532,plain,
% 11.27/11.55 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.55 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.27/11.55 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 11.27/11.55 | X1 = X0 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_6531]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_493,plain,
% 11.27/11.55 ( X0 = X1
% 11.27/11.55 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.55 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.27/11.55 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4834_3) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_6527,plain,
% 11.27/11.55 ( X0 = X1
% 11.27/11.55 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.55 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.27/11.55 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_493]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_6528,plain,
% 11.27/11.55 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.27/11.55 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.27/11.55 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 11.27/11.55 | X0 = X1 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_6527]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_438,plain,
% 11.27/11.55 ( X0 = X1
% 11.27/11.55 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.55 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4861_2) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_6417,plain,
% 11.27/11.55 ( X0 = X1
% 11.27/11.55 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.55 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_438]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_6418,plain,
% 11.27/11.55 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.55 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.27/11.55 | X0 = X1 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_6417]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_400,plain,
% 11.27/11.55 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.27/11.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.55 | ~ class_Power_Opower(X1)
% 11.27/11.55 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.27/11.55 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.27/11.55 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4873_5) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_6341,plain,
% 11.27/11.55 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.27/11.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 11.27/11.55 | ~ class_Power_Opower(X1)
% 11.27/11.55 | ~ class_Ring__and__Field_Omult__zero(X1)
% 11.27/11.55 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 11.27/11.55 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_400]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_6342,plain,
% 11.27/11.55 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.27/11.55 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.27/11.55 | ~ class_Ring__and__Field_Omult__zero(X0)
% 11.27/11.55 | ~ class_Power_Opower(X0)
% 11.27/11.55 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.27/11.55 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_6341]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2472,negated_conjecture,
% 11.27/11.55 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_3159,negated_conjecture,
% 11.27/11.55 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2472]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_3163,negated_conjecture,
% 11.27/11.55 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_3159]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_3164,negated_conjecture,
% 11.27/11.55 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_3163]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_3165,negated_conjecture,
% 11.27/11.55 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_3164]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10485,negated_conjecture,
% 11.27/11.55 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),v_T_H_H____) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_3165]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2470,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X3),hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X4))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4060_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10481,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X3),hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X4))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2470]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10482,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X8),hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X9)) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10481]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2468,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4061_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10477,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2468]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10478,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),hAPP(hAPP(X1,X7),X9)) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10477]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2466,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4062_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10473,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X3),X4)))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2466]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10474,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X9)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X8),X9))) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10473]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2464,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4063_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10469,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),hAPP(hAPP(X0,X3),X4)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),hAPP(hAPP(X0,X2),X4))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2464]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10470,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),hAPP(hAPP(X0,X8),X9)) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),hAPP(hAPP(X0,X7),X9)) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10469]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2460,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4065_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10461,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2460]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10462,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10461]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2458,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4066_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10457,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2458]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10458,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10457]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2456,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4067_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10453,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X4))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2456]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10454,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X6),X8)) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X7),X8)) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10453]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2454,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4068_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10449,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2454]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10450,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10449]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2452,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4069_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10445,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2452]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10446,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10445]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2450,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4070_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10441,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2450]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10442,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10441]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2448,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4071_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10437,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2448]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10438,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10437]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2446,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4072_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10433,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2446]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10434,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X7),X8)) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10433]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2444,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4073_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10429,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2444]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10430,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10429]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2434,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4078_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10409,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2434]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10410,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10409]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2432,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4079_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10405,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2432]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10406,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10405]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2430,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4080_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10401,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2430]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10402,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10401]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2428,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4081_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10397,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2428]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10398,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10397]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2426,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4082_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10393,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2426]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10394,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10393]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2424,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4083_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10389,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2424]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10390,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10389]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2418,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4086_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10377,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2418]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10378,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10377]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2412,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4089_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10365,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2412]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10366,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10365]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2410,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4090_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10361,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2410]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10362,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10361]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2408,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4091_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10357,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2408]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10358,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10357]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2404,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4093_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10349,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2404]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10350,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10349]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2400,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4095_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10341,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2400]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10342,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10341]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2396,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4097_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10333,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2396]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10334,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10333]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2394,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4098_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10329,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2394]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10330,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10329]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2392,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4099_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10325,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = X1
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2392]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10326,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10325]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2390,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4100_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10321,plain,
% 11.27/11.55 ( hAPP(hAPP(X0,X1),X2) = X2
% 11.27/11.55 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2390]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10322,plain,
% 11.27/11.55 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 11.27/11.55 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10321]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2386,plain,
% 11.27/11.55 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 11.27/11.55 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4103_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10313,plain,
% 11.27/11.55 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 11.27/11.55 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2386]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2384,plain,
% 11.27/11.55 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.27/11.55 | X4 = X3
% 11.27/11.55 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4104_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10309,plain,
% 11.27/11.55 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.27/11.55 | X4 = X3
% 11.27/11.55 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2384]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10310,plain,
% 11.27/11.55 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 11.27/11.55 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 11.27/11.55 | X4 = X3 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10309]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2379,plain,
% 11.27/11.55 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.27/11.55 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4106_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10299,plain,
% 11.27/11.55 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.27/11.55 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2379]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2375,plain,
% 11.27/11.55 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.27/11.55 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4108_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10291,plain,
% 11.27/11.55 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.27/11.55 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2375]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2372,plain,
% 11.27/11.55 ( c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 11.27/11.55 | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 11.27/11.55 | ~ c_InductTermi_OIT(X1) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4109_2) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10285,plain,
% 11.27/11.55 ( c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 11.27/11.55 | ~ c_InductTermi_OIT(c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat)),X2,tc_Lambda_OdB,tc_Lambda_OdB))
% 11.27/11.55 | ~ c_InductTermi_OIT(X1) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2372]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2370,plain,
% 11.27/11.55 ( c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.55 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4110_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10281,plain,
% 11.27/11.55 ( c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 11.27/11.55 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2370]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10282,plain,
% 11.27/11.55 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.27/11.55 | c_Groebner__Basis_Ogb__semiring(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X0),c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10281]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2368,plain,
% 11.27/11.55 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.27/11.55 | ~ class_Divides_Osemiring__div(X0) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4111_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10277,plain,
% 11.27/11.55 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.27/11.55 | ~ class_Divides_Osemiring__div(X0) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2368]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10278,plain,
% 11.27/11.55 ( ~ class_Divides_Osemiring__div(X0)
% 11.27/11.55 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10277]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2366,plain,
% 11.27/11.55 ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB))
% 11.27/11.55 | ~ c_Lambda_Obeta(X0,X2) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4112_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10273,plain,
% 11.27/11.55 ( c_Lambda_Obeta(c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB),c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB))
% 11.27/11.55 | ~ c_Lambda_Obeta(X0,X2) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2366]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2360,plain,
% 11.27/11.55 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.27/11.55 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 11.27/11.55 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4114_2) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10261,plain,
% 11.27/11.55 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.27/11.55 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 11.27/11.55 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2360]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2354,plain,
% 11.27/11.55 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.27/11.55 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 11.27/11.55 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4116_2) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10249,plain,
% 11.27/11.55 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5),X0)
% 11.27/11.55 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5),X0)
% 11.27/11.55 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2354]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2348,plain,
% 11.27/11.55 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.27/11.55 | ~ c_lessequals(X3,X0,tc_nat)
% 11.27/11.55 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4118_2) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10237,plain,
% 11.27/11.55 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.27/11.55 | ~ c_lessequals(X3,X0,tc_nat)
% 11.27/11.55 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2348]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10238,plain,
% 11.27/11.55 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2)),X3),X4,tc_nat)
% 11.27/11.55 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat)
% 11.27/11.55 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10237]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2339,plain,
% 11.27/11.55 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.27/11.55 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 11.27/11.55 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4121_2) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10219,plain,
% 11.27/11.55 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.27/11.55 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 11.27/11.55 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2339]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2333,plain,
% 11.27/11.55 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.27/11.55 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 11.27/11.55 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4123_2) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10207,plain,
% 11.27/11.55 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4),X5,X0)
% 11.27/11.55 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5),X0)
% 11.27/11.55 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2333]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2328,plain,
% 11.27/11.55 ( X0 = X1
% 11.27/11.55 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4125_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10197,plain,
% 11.27/11.55 ( X0 = X1
% 11.27/11.55 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2328]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10198,plain,
% 11.27/11.55 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.27/11.55 | X0 = X2 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10197]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2326,plain,
% 11.27/11.55 ( X0 = X1
% 11.27/11.55 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4126_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10193,plain,
% 11.27/11.55 ( X0 = X1
% 11.27/11.55 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2326]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10194,plain,
% 11.27/11.55 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.27/11.55 | X1 = X3 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10193]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2324,plain,
% 11.27/11.55 ( X0 = X1
% 11.27/11.55 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4127_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10189,plain,
% 11.27/11.55 ( X0 = X1
% 11.27/11.55 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X1),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2324]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10190,plain,
% 11.27/11.55 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.27/11.55 | X0 = X2 ),
% 11.27/11.55 inference(rewriting,[status(thm)],[c_10189]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_2322,plain,
% 11.27/11.55 ( X0 = X1
% 11.27/11.55 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.55 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4128_1) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10185,plain,
% 11.27/11.55 ( X0 = X1
% 11.27/11.55 | c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X0,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X3),X1,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.55 inference(copy,[status(esa)],[c_2322]) ).
% 11.27/11.55
% 11.27/11.55 cnf(c_10186,plain,
% 11.27/11.55 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.27/11.56 | X1 = X3 ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10185]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2320,plain,
% 11.27/11.56 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 11.27/11.56 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4129_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10181,plain,
% 11.27/11.56 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0))
% 11.27/11.56 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2320]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10182,plain,
% 11.27/11.56 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 11.27/11.56 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X3,X0,X0)) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10181]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2318,plain,
% 11.27/11.56 ( X0 = X1
% 11.27/11.56 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4131_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10177,plain,
% 11.27/11.56 ( X0 = X1
% 11.27/11.56 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2318]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10178,plain,
% 11.27/11.56 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,X2,X1,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.27/11.56 | X0 = X2 ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10177]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2315,plain,
% 11.27/11.56 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 11.27/11.56 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.56 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4132_2) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10171,plain,
% 11.27/11.56 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)),X3)),X4),tc_nat)
% 11.27/11.56 | ~ c_lessequals(X2,X1,tc_nat)
% 11.27/11.56 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X4),tc_nat) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2315]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10172,plain,
% 11.27/11.56 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat)
% 11.27/11.56 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 11.27/11.56 | ~ c_lessequals(X0,X3,tc_nat) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10171]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2304,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 11.27/11.56 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4136_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10149,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 11.27/11.56 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2304]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10150,plain,
% 11.27/11.56 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X2,X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10149]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2300,plain,
% 11.27/11.56 ( hBOOL(hAPP(X0,X1))
% 11.27/11.56 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.27/11.56 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X1),X2,tc_nat)))
% 11.27/11.56 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4138_3) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10141,plain,
% 11.27/11.56 ( hBOOL(hAPP(X0,X1))
% 11.27/11.56 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.27/11.56 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)),X1),X2,tc_nat)))
% 11.27/11.56 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2300]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10142,plain,
% 11.27/11.56 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.56 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 11.27/11.56 | hBOOL(hAPP(X2,X0))
% 11.27/11.56 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10141]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2296,plain,
% 11.27/11.56 ( hBOOL(hAPP(X0,X1))
% 11.27/11.56 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.27/11.56 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3),X2,tc_nat)))
% 11.27/11.56 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4139_3) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10133,plain,
% 11.27/11.56 ( hBOOL(hAPP(X0,X1))
% 11.27/11.56 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.27/11.56 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3),X2,tc_nat)))
% 11.27/11.56 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2296]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10134,plain,
% 11.27/11.56 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.27/11.56 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)),X0),X1,tc_nat)))
% 11.27/11.56 | hBOOL(hAPP(X2,X3))
% 11.27/11.56 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10133]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2294,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)
% 11.27/11.56 | ~ class_Divides_Osemiring__div(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4140_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10129,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)
% 11.27/11.56 | ~ class_Divides_Osemiring__div(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2294]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10130,plain,
% 11.27/11.56 ( ~ class_Divides_Osemiring__div(X0)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0))),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10129]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2292,plain,
% 11.27/11.56 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat)
% 11.27/11.56 | ~ c_lessequals(X3,X0,tc_nat) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4141_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10125,plain,
% 11.27/11.56 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X0,X3,tc_nat)),X1)),X2),X4,tc_nat)
% 11.27/11.56 | ~ c_lessequals(X3,X0,tc_nat) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2292]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10126,plain,
% 11.27/11.56 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.56 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3),X4,tc_nat) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10125]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2290,plain,
% 11.27/11.56 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 11.27/11.56 | ~ c_lessequals(X0,X3,tc_nat) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4142_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10121,plain,
% 11.27/11.56 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X3),X1)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X3,X0,tc_nat)),X1)),X4),tc_nat)
% 11.27/11.56 | ~ c_lessequals(X0,X3,tc_nat) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2290]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10122,plain,
% 11.27/11.56 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.56 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X4),tc_nat) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10121]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2286,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)
% 11.27/11.56 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4145_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10113,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)
% 11.27/11.56 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2286]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10114,plain,
% 11.27/11.56 ( ~ class_Ring__and__Field_Oring(X0)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X3,X1,X0)),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10113]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2282,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)),X1)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3)
% 11.27/11.56 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4147_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10105,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)),X1)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)),X3)
% 11.27/11.56 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2282]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10106,plain,
% 11.27/11.56 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)),X3) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10105]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2280,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X3),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.27/11.56 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4148_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10101,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X3),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.27/11.56 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2280]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10102,plain,
% 11.27/11.56 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X3),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10101]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2278,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X3)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 11.27/11.56 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4149_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10097,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X3)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 11.27/11.56 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2278]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10098,plain,
% 11.27/11.56 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X3)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10097]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2275,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4) = X5
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5)
% 11.27/11.56 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4151_2) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10091,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4) = X5
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5)
% 11.27/11.56 | ~ class_Ring__and__Field_Oring(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2275]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10092,plain,
% 11.27/11.56 ( ~ class_Ring__and__Field_Oring(X0)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X3)),X4) = X5
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X5) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10091]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2272,plain,
% 11.27/11.56 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)
% 11.27/11.56 | ~ class_Ring__and__Field_Oring(X1) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4152_2) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10085,plain,
% 11.27/11.56 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),c_HOL_Ominus__class_Ominus(X2,X3,X1)),X4)),X5)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X4)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X4)),X5)
% 11.27/11.56 | ~ class_Ring__and__Field_Oring(X1) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2272]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10086,plain,
% 11.27/11.56 ( ~ class_Ring__and__Field_Oring(X0)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X2)),X5)
% 11.27/11.56 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ominus__class_Ominus(X4,X1,X0)),X2)),X5) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10085]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2270,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2))
% 11.27/11.56 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4153_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10081,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2))
% 11.27/11.56 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2270]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10082,plain,
% 11.27/11.56 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10081]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2268,plain,
% 11.27/11.56 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 11.27/11.56 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4154_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10077,plain,
% 11.27/11.56 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 11.27/11.56 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2268]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10078,plain,
% 11.27/11.56 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.27/11.56 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10077]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2266,plain,
% 11.27/11.56 ( X0 = c_Lambda_OdB_OAbs(X1)
% 11.27/11.56 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4155_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10073,plain,
% 11.27/11.56 ( X0 = c_Lambda_OdB_OAbs(X1)
% 11.27/11.56 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2266]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10074,plain,
% 11.27/11.56 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 11.27/11.56 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10073]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2264,plain,
% 11.27/11.56 ( c_Lambda_OdB_OVar(X0) = X1
% 11.27/11.56 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4156_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10069,plain,
% 11.27/11.56 ( c_Lambda_OdB_OVar(X0) = X1
% 11.27/11.56 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2264]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10070,plain,
% 11.27/11.56 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.27/11.56 | c_Lambda_OdB_OVar(X0) = X1 ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10069]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2262,plain,
% 11.27/11.56 ( c_Lambda_OdB_OAbs(X0) = X1
% 11.27/11.56 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4157_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10065,plain,
% 11.27/11.56 ( c_Lambda_OdB_OAbs(X0) = X1
% 11.27/11.56 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2262]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10066,plain,
% 11.27/11.56 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 11.27/11.56 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10065]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2254,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4)
% 11.27/11.56 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4160_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10049,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4)
% 11.27/11.56 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2254]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10050,plain,
% 11.27/11.56 ( ~ class_Ring__and__Field_Osemiring(X0)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)),X4) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10049]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2250,plain,
% 11.27/11.56 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.27/11.56 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4163_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10041,plain,
% 11.27/11.56 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 11.27/11.56 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2250]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2248,plain,
% 11.27/11.56 ( hBOOL(hAPP(X0,X1))
% 11.27/11.56 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4164_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10037,plain,
% 11.27/11.56 ( hBOOL(hAPP(X0,X1))
% 11.27/11.56 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2248]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10038,plain,
% 11.27/11.56 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 11.27/11.56 | hBOOL(hAPP(X0,X1)) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10037]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2243,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Suc(X2))
% 11.27/11.56 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4167_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10027,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Suc(X2))
% 11.27/11.56 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2243]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10028,plain,
% 11.27/11.56 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Suc(X2)) ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_10027]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2241,plain,
% 11.27/11.56 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0)
% 11.27/11.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4168_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10023,plain,
% 11.27/11.56 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),X0)
% 11.27/11.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2241]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2233,plain,
% 11.27/11.56 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4174_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10007,plain,
% 11.27/11.56 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.27/11.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2233]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2229,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1
% 11.27/11.56 | ~ class_Divides_Osemiring__div(X0) ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4176_1) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_9999,plain,
% 11.27/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1
% 11.27/11.56 | ~ class_Divides_Osemiring__div(X0) ),
% 11.27/11.56 inference(copy,[status(esa)],[c_2229]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_10000,plain,
% 11.27/11.56 ( ~ class_Divides_Osemiring__div(X0)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)),c_Divides_Odiv__class_Omod(X1,X2,X0)) = X1 ),
% 11.27/11.56 inference(rewriting,[status(thm)],[c_9999]) ).
% 11.27/11.56
% 11.27/11.56 cnf(c_2223,plain,
% 11.27/11.56 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.27/11.56 | ~ class_Int_Onumber__ring(X0)
% 11.27/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 11.27/11.56 | X2 = X4
% 11.27/11.56 | X1 = X3 ),
% 11.27/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4181_0) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9987,plain,
% 11.35/11.56 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.35/11.56 | ~ class_Int_Onumber__ring(X0)
% 11.35/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 11.35/11.56 | X2 = X4
% 11.35/11.56 | X1 = X3 ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2223]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2219,plain,
% 11.35/11.56 ( X0 = X1
% 11.35/11.56 | X2 = X3
% 11.35/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X2))
% 11.35/11.56 | ~ class_Int_Onumber__ring(X4)
% 11.35/11.56 | ~ class_Ring__and__Field_Oidom(X4) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4181_4) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9979,plain,
% 11.35/11.56 ( X0 = X1
% 11.35/11.56 | X2 = X3
% 11.35/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X4),X1),X2))
% 11.35/11.56 | ~ class_Int_Onumber__ring(X4)
% 11.35/11.56 | ~ class_Ring__and__Field_Oidom(X4) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2219]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9980,plain,
% 11.35/11.56 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.35/11.56 | ~ class_Int_Onumber__ring(X0)
% 11.35/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X4)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2))
% 11.35/11.56 | X1 = X3
% 11.35/11.56 | X2 = X4 ),
% 11.35/11.56 inference(rewriting,[status(thm)],[c_9979]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2202,plain,
% 11.35/11.56 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4186_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9945,plain,
% 11.35/11.56 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2202]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2198,plain,
% 11.35/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 11.35/11.56 | X1 = X3
% 11.35/11.56 | X0 = X2 ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4188_0) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9937,plain,
% 11.35/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 11.35/11.56 | X1 = X3
% 11.35/11.56 | X0 = X2 ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2198]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2196,plain,
% 11.35/11.56 ( X0 = X1
% 11.35/11.56 | X2 = X3
% 11.35/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4188_2) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9933,plain,
% 11.35/11.56 ( X0 = X1
% 11.35/11.56 | X2 = X3
% 11.35/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2196]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9934,plain,
% 11.35/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1))
% 11.35/11.56 | X0 = X2
% 11.35/11.56 | X1 = X3 ),
% 11.35/11.56 inference(rewriting,[status(thm)],[c_9933]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2194,plain,
% 11.35/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Suc(X2))
% 11.35/11.56 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4189_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9929,plain,
% 11.35/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Suc(X2))
% 11.35/11.56 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2194]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9930,plain,
% 11.35/11.56 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.35/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),X2)) = hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_Suc(X2)) ),
% 11.35/11.56 inference(rewriting,[status(thm)],[c_9929]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2190,plain,
% 11.35/11.56 ( hBOOL(hAPP(X0,X1))
% 11.35/11.56 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4191_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9921,plain,
% 11.35/11.56 ( hBOOL(hAPP(X0,X1))
% 11.35/11.56 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2190]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9922,plain,
% 11.35/11.56 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 11.35/11.56 | hBOOL(hAPP(X0,X2)) ),
% 11.35/11.56 inference(rewriting,[status(thm)],[c_9921]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2188,plain,
% 11.35/11.56 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X1,X0,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X1,X0,X2))
% 11.35/11.56 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4192_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9917,plain,
% 11.35/11.56 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xtyping__elims__3__1(X1,X0,X2),tc_Type_Otype),X2,c_Type_Osko__Type__Xtyping__elims__3__2(X1,X0,X2))
% 11.35/11.56 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2188]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2186,plain,
% 11.35/11.56 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 11.35/11.56 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4193_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9913,plain,
% 11.35/11.56 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 11.35/11.56 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2186]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9914,plain,
% 11.35/11.56 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.56 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 11.35/11.56 inference(rewriting,[status(thm)],[c_9913]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2184,plain,
% 11.35/11.56 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 11.35/11.56 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4194_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9909,plain,
% 11.35/11.56 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 11.35/11.56 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2184]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9910,plain,
% 11.35/11.56 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.56 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),c_Divides_Odiv__class_Omod(X3,X2,X0)),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 11.35/11.56 inference(rewriting,[status(thm)],[c_9909]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2182,plain,
% 11.35/11.56 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),c_Type_Otype_OFun(X2,X3))
% 11.35/11.56 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4195_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9905,plain,
% 11.35/11.56 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),c_Type_Otype_OFun(X2,X3))
% 11.35/11.56 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2182]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9906,plain,
% 11.35/11.56 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 11.35/11.56 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),c_Type_Otype_OFun(X1,X3)) ),
% 11.35/11.56 inference(rewriting,[status(thm)],[c_9905]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2180,plain,
% 11.35/11.56 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4))
% 11.35/11.56 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4196_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9901,plain,
% 11.35/11.56 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4))
% 11.35/11.56 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2180]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9902,plain,
% 11.35/11.56 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.56 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X4)) ),
% 11.35/11.56 inference(rewriting,[status(thm)],[c_9901]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2178,plain,
% 11.35/11.56 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X3),c_Orderings_Oord__class_Omax(X0,X2,X3),X3),X3)
% 11.35/11.56 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4197_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9897,plain,
% 11.35/11.56 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X3),c_Orderings_Oord__class_Omax(X0,X2,X3),X3),X3)
% 11.35/11.56 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2178]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9898,plain,
% 11.35/11.56 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.56 | c_lessequals(c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0),c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X1,X3,X0),X0),X0) ),
% 11.35/11.56 inference(rewriting,[status(thm)],[c_9897]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2176,plain,
% 11.35/11.56 ( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2),c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2),X2)
% 11.35/11.56 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4198_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9893,plain,
% 11.35/11.56 ( c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2),c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2),X2)
% 11.35/11.56 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2176]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9894,plain,
% 11.35/11.56 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.56 | c_lessequals(c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X1,X3,X0),X0),c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0),X0) ),
% 11.35/11.56 inference(rewriting,[status(thm)],[c_9893]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2174,plain,
% 11.35/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1
% 11.35/11.56 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4200_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9889,plain,
% 11.35/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1
% 11.35/11.56 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2174]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9890,plain,
% 11.35/11.56 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),X2)) = X1 ),
% 11.35/11.56 inference(rewriting,[status(thm)],[c_9889]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2172,plain,
% 11.35/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2
% 11.35/11.56 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4201_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9885,plain,
% 11.35/11.56 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2
% 11.35/11.56 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2172]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9886,plain,
% 11.35/11.56 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.56 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Odiv(X2,X1,X0))),c_Divides_Odiv__class_Omod(X2,X1,X0)) = X2 ),
% 11.35/11.56 inference(rewriting,[status(thm)],[c_9885]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2164,plain,
% 11.35/11.56 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 11.35/11.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4205_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9869,plain,
% 11.35/11.56 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)),X0)
% 11.35/11.56 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.56 inference(copy,[status(esa)],[c_2164]) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_2162,plain,
% 11.35/11.56 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 11.35/11.56 | ~ class_Divides_Oring__div(X2) ),
% 11.35/11.56 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4206_1) ).
% 11.35/11.56
% 11.35/11.56 cnf(c_9865,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),c_Divides_Odiv__class_Omod(X3,X1,X2),X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 11.35/11.57 | ~ class_Divides_Oring__div(X2) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2162]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9866,plain,
% 11.35/11.57 ( ~ class_Divides_Oring__div(X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),c_Divides_Odiv__class_Omod(X3,X2,X0),X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9865]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2152,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 11.35/11.57 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4210_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9845,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 11.35/11.57 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2152]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9846,plain,
% 11.35/11.57 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9845]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2150,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 11.35/11.57 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4211_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9841,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0)
% 11.35/11.57 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2150]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9842,plain,
% 11.35/11.57 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X2,X0)),X3),X2,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X2,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9841]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2144,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 11.35/11.57 | ~ class_Int_Onumber__ring(X0)
% 11.35/11.57 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4213_2) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9829,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2))
% 11.35/11.57 | ~ class_Int_Onumber__ring(X0)
% 11.35/11.57 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2144]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9830,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.35/11.57 | ~ class_Int_Onumber__ring(X0)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9829]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2142,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4214_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9825,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4))
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2142]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9826,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9825]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2140,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4215_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9821,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)))
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2140]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9822,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4))) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9821]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2138,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4216_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9817,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2138]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9818,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4)) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9817]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2136,plain,
% 11.35/11.57 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xabs__typeE__1__2(X0,X1))
% 11.35/11.57 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4217_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9813,plain,
% 11.35/11.57 ( c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Osko__Type__Xabs__typeE__1__1(X0,X1),tc_Type_Otype),X1,c_Type_Osko__Type__Xabs__typeE__1__2(X0,X1))
% 11.35/11.57 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2136]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2132,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X2),X3,X2)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 11.35/11.57 | ~ class_Divides_Oring__div(X2) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4218_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9805,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X2),X3,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X2),X3,X2)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X0,X3,X2) != c_Divides_Odiv__class_Omod(X4,X3,X2)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X1,X3,X2) != c_Divides_Odiv__class_Omod(X5,X3,X2)
% 11.35/11.57 | ~ class_Divides_Oring__div(X2) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2132]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9806,plain,
% 11.35/11.57 ( ~ class_Divides_Oring__div(X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X4,X5,X0),X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9805]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2128,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.35/11.57 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4219_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9797,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.35/11.57 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2128]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9798,plain,
% 11.35/11.57 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X4),X5),X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9797]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2124,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.35/11.57 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4220_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9789,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0)
% 11.35/11.57 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2124]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9790,plain,
% 11.35/11.57 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X5),X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X1,X3,X0) != c_Divides_Odiv__class_Omod(X4,X3,X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(X2,X3,X0) != c_Divides_Odiv__class_Omod(X5,X3,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9789]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2118,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Suc(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat))),tc_nat)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4222_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9777,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_Suc(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat))),tc_nat)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2118]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9778,plain,
% 11.35/11.57 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.57 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Suc(c_Divides_Odiv__class_Odiv(X1,X0,tc_nat))),tc_nat) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9777]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2116,plain,
% 11.35/11.57 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 11.35/11.57 | ~ c_Type_Otyping(X0,X3,X4) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4223_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9773,plain,
% 11.35/11.57 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 11.35/11.57 | ~ c_Type_Otyping(X0,X3,X4) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2116]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2111,plain,
% 11.35/11.57 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.57 | ~ c_lessequals(X1,X2,tc_nat)
% 11.35/11.57 | ~ c_lessequals(X1,X0,tc_nat)
% 11.35/11.57 | c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4227_0) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9763,plain,
% 11.35/11.57 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.57 | ~ c_lessequals(X1,X2,tc_nat)
% 11.35/11.57 | ~ c_lessequals(X1,X0,tc_nat)
% 11.35/11.57 | c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2111]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2110,plain,
% 11.35/11.57 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.57 | ~ c_lessequals(X1,X2,tc_nat)
% 11.35/11.57 | c_lessequals(X0,X2,tc_nat)
% 11.35/11.57 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4227_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9761,plain,
% 11.35/11.57 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.57 | ~ c_lessequals(X1,X2,tc_nat)
% 11.35/11.57 | c_lessequals(X0,X2,tc_nat)
% 11.35/11.57 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2110]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2108,plain,
% 11.35/11.57 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.57 | ~ c_lessequals(X2,X0,tc_nat)
% 11.35/11.57 | ~ c_lessequals(X2,X1,tc_nat)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4227_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9757,plain,
% 11.35/11.57 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.57 | ~ c_lessequals(X2,X0,tc_nat)
% 11.35/11.57 | ~ c_lessequals(X2,X1,tc_nat)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2108]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9758,plain,
% 11.35/11.57 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.57 | c_lessequals(X0,X2,tc_nat)
% 11.35/11.57 | ~ c_lessequals(X1,X0,tc_nat)
% 11.35/11.57 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9757]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2104,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4228_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9749,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2104]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9750,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9749]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2098,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.35/11.57 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.57 | ~ c_lessequals(X1,X4,X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4229_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9737,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.35/11.57 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.57 | ~ c_lessequals(X1,X4,X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2098]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9738,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.57 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.35/11.57 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.57 | ~ c_lessequals(X1,X4,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9737]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2092,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.35/11.57 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.57 | ~ c_lessequals(X1,X4,X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4230_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9725,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.35/11.57 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.57 | ~ c_lessequals(X1,X4,X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2092]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9726,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.57 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 11.35/11.57 | ~ c_lessequals(X3,X2,X0)
% 11.35/11.57 | ~ c_lessequals(X1,X4,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9725]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2072,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4233_5) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9685,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X4),X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2072]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9686,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4),X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9685]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2070,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4234_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9681,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2070]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9682,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9681]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2066,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4236_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9673,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2066]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9674,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9673]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2064,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 11.35/11.57 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4237_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9669,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 11.35/11.57 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2064]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9670,plain,
% 11.35/11.57 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9669]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2062,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4238_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9665,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2062]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9666,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9665]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2056,plain,
% 11.35/11.57 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4241_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9653,plain,
% 11.35/11.57 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2056]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9654,plain,
% 11.35/11.57 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.57 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9653]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2052,plain,
% 11.35/11.57 ( c_lessequals(X0,X1,X2)
% 11.35/11.57 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Suc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Suc(X3)),X2)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4242_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9645,plain,
% 11.35/11.57 ( c_lessequals(X0,X1,X2)
% 11.35/11.57 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),c_Suc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),c_Suc(X3)),X2)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2052]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9646,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),c_Suc(X3)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X3)),X0)
% 11.35/11.57 | c_lessequals(X2,X1,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9645]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2049,plain,
% 11.35/11.57 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)) != c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4244_2) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9639,plain,
% 11.35/11.57 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)) != c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2049]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9640,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.57 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9639]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2046,plain,
% 11.35/11.57 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)) != c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4245_2) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9633,plain,
% 11.35/11.57 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X0)) != c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2046]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9634,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X2)) != c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.57 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9633]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2043,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4246_2) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9627,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2043]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9628,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.57 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9627]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2015,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3),X2)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4253_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9571,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X0),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X1),X3),X2)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2015]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9572,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X3),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.35/11.57 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9571]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2011,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4254_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9563,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2011]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9564,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.57 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9563]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2007,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4255_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9555,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2007]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9556,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.35/11.57 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9555]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_2003,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4256_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9547,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X3),X1),X2)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_2003]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9548,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.57 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9547]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_1999,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4257_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9539,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X0),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X2),X1),X3),X2)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_1999]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9540,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.35/11.57 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.35/11.57 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9539]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_1991,plain,
% 11.35/11.57 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 11.35/11.57 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4259_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9523,plain,
% 11.35/11.57 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 11.35/11.57 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_1991]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9524,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.57 | ~ c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.35/11.57 | c_lessequals(X2,X3,tc_nat)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9523]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_1983,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4261_3) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9507,plain,
% 11.35/11.57 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X2),X3,X2)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X0),hAPP(hAPP(c_Power_Opower__class_Opower(X2),X3),X1),X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_1983]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9508,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.57 | c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9507]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_1981,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4263_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9503,plain,
% 11.35/11.57 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2)
% 11.35/11.57 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_1981]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9504,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.57 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0))),X2) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9503]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_1979,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X3),X2,X3)
% 11.35/11.57 | ~ class_Divides_Oring__div(X3) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4264_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9499,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,c_Divides_Odiv__class_Omod(X1,X2,X3),X3),X2,X3) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,X3),X2,X3)
% 11.35/11.57 | ~ class_Divides_Oring__div(X3) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_1979]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9500,plain,
% 11.35/11.57 ( ~ class_Divides_Oring__div(X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,c_Divides_Odiv__class_Omod(X2,X3,X0),X0),X3,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9499]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_1977,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 11.35/11.57 | ~ class_Divides_Oring__div(X2) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4265_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9495,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X0,X1,X2),X3,X2),X1,X2) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X3,X2),X1,X2)
% 11.35/11.57 | ~ class_Divides_Oring__div(X2) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_1977]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9496,plain,
% 11.35/11.57 ( ~ class_Divides_Oring__div(X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(c_Divides_Odiv__class_Omod(X1,X2,X0),X3,X0),X2,X0) = c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X3,X0),X2,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9495]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_1964,plain,
% 11.35/11.57 ( c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat)) = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.35/11.57 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4269_2) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9469,plain,
% 11.35/11.57 ( c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat)) = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.35/11.57 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_1964]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9470,plain,
% 11.35/11.57 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.57 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.57 | c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9469]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_1947,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.35/11.57 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4274_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9435,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0)
% 11.35/11.57 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_1947]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9436,plain,
% 11.35/11.57 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X3,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9435]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_1945,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0)
% 11.35/11.57 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4275_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9431,plain,
% 11.35/11.57 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0)
% 11.35/11.57 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_1945]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9432,plain,
% 11.35/11.57 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.57 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)),X3,X0) = c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X3,X0) ),
% 11.35/11.57 inference(rewriting,[status(thm)],[c_9431]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_1943,plain,
% 11.35/11.57 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,X1,hAPP(X0,X2),X3) = c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_Suc(X1),X2,X3)
% 11.35/11.57 | ~ class_Ring__and__Field_Osemiring__1(X3) ),
% 11.35/11.57 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4276_1) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9427,plain,
% 11.35/11.57 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,X1,hAPP(X0,X2),X3) = c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_Suc(X1),X2,X3)
% 11.35/11.57 | ~ class_Ring__and__Field_Osemiring__1(X3) ),
% 11.35/11.57 inference(copy,[status(esa)],[c_1943]) ).
% 11.35/11.57
% 11.35/11.57 cnf(c_9428,plain,
% 11.35/11.57 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.35/11.57 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,X2,hAPP(X1,X3),X0) = c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_Suc(X2),X3,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9427]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1941,plain,
% 11.35/11.58 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
% 11.35/11.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4)) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4277_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9423,plain,
% 11.35/11.58 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X2,X1,tc_nat)
% 11.35/11.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4)) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1941]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9424,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X4))
% 11.35/11.58 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = c_Divides_Odiv__class_Omod(X3,X1,tc_nat) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9423]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1938,plain,
% 11.35/11.58 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.58 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 11.35/11.58 | ~ class_Divides_Osemiring__div(X1) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4278_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9417,plain,
% 11.35/11.58 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.58 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 11.35/11.58 | ~ class_Divides_Osemiring__div(X1) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1938]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9418,plain,
% 11.35/11.58 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.58 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_Divides_Odiv__class_Odiv(X1,X3,X0))
% 11.35/11.58 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9417]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1935,plain,
% 11.35/11.58 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.58 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 11.35/11.58 | ~ class_Divides_Osemiring__div(X1) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4279_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9411,plain,
% 11.35/11.58 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.58 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 11.35/11.58 | ~ class_Divides_Osemiring__div(X1) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1935]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9412,plain,
% 11.35/11.58 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.58 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),c_Divides_Odiv__class_Odiv(X1,X2,X0))
% 11.35/11.58 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9411]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1933,plain,
% 11.35/11.58 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2)
% 11.35/11.58 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4281_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9407,plain,
% 11.35/11.58 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2)
% 11.35/11.58 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1933]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9408,plain,
% 11.35/11.58 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.58 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Divides_Odiv__class_Omod(X1,X3,X0)),X2) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9407]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1931,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4282_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9403,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1931]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9404,plain,
% 11.35/11.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.35/11.58 | c_Orderings_Oord__class_Omax(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omax(X1,X3,X0)),X2) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9403]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1929,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omin(X1,X3,X0)),X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4283_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9399,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omin(X1,X3,X0)),X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1929]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9400,plain,
% 11.35/11.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.35/11.58 | c_Orderings_Oord__class_Omin(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Orderings_Oord__class_Omin(X1,X3,X0)),X2) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9399]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1903,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.35/11.58 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4290_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9347,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.35/11.58 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1903]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9348,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9347]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1901,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 11.35/11.58 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4291_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9343,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2)
% 11.35/11.58 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1901]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9344,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.58 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)),X2) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9343]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1899,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.35/11.58 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4292_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9339,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2)
% 11.35/11.58 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1899]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9340,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)),X2) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9339]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1891,plain,
% 11.35/11.58 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.58 | ~ c_lessequals(X1,X0,tc_nat)
% 11.35/11.58 | ~ c_lessequals(X1,X2,tc_nat)
% 11.35/11.58 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4294_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9323,plain,
% 11.35/11.58 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.58 | ~ c_lessequals(X1,X0,tc_nat)
% 11.35/11.58 | ~ c_lessequals(X1,X2,tc_nat)
% 11.35/11.58 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1891]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1888,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.58 | c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat)) = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4295_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9317,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.58 | c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat)) = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1888]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9318,plain,
% 11.35/11.58 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.58 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.35/11.58 | c_Suc(c_Divides_Odiv__class_Odiv(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat)) = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9317]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1879,plain,
% 11.35/11.58 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4298_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9299,plain,
% 11.35/11.58 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1879]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9300,plain,
% 11.35/11.58 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.35/11.58 | c_lessequals(X1,X2,tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9299]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1874,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 11.35/11.58 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4300_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9289,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 11.35/11.58 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1874]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9290,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.58 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9289]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1872,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 11.35/11.58 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4301_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9285,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3))
% 11.35/11.58 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1872]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9286,plain,
% 11.35/11.58 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.35/11.58 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9285]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1867,plain,
% 11.35/11.58 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.58 | X2 = X3
% 11.35/11.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3))
% 11.35/11.58 | ~ class_Int_Onumber__ring(X1)
% 11.35/11.58 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4303_4) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9275,plain,
% 11.35/11.58 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.58 | X2 = X3
% 11.35/11.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3))
% 11.35/11.58 | ~ class_Int_Onumber__ring(X1)
% 11.35/11.58 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1867]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9276,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.35/11.58 | ~ class_Int_Onumber__ring(X0)
% 11.35/11.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X4))
% 11.35/11.58 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.58 | X3 = X4 ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9275]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1865,plain,
% 11.35/11.58 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat)
% 11.35/11.58 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4304_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9271,plain,
% 11.35/11.58 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),c_Suc(X2),tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)),tc_nat)
% 11.35/11.58 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1865]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9272,plain,
% 11.35/11.58 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.58 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),c_Suc(X1),tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),tc_nat) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9271]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1863,plain,
% 11.35/11.58 ( c_HOL_Ominus__class_Ominus(c_Suc(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat)
% 11.35/11.58 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4305_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9267,plain,
% 11.35/11.58 ( c_HOL_Ominus__class_Ominus(c_Suc(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X2,tc_nat)
% 11.35/11.58 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1863]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9268,plain,
% 11.35/11.58 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.58 | c_HOL_Ominus__class_Ominus(c_Suc(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat) = c_HOL_Ominus__class_Ominus(c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2,tc_nat) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9267]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1859,plain,
% 11.35/11.58 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.35/11.58 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 11.35/11.58 | ~ c_lessequals(X4,X3,X1)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4306_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9259,plain,
% 11.35/11.58 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.35/11.58 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 11.35/11.58 | ~ c_lessequals(X4,X3,X1)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1859]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1857,plain,
% 11.35/11.58 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1),tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4307_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9255,plain,
% 11.35/11.58 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1),tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1857]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9256,plain,
% 11.35/11.58 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 11.35/11.58 | c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9255]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1855,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1),tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4308_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9251,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1),tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1855]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9252,plain,
% 11.35/11.58 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 11.35/11.58 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9251]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1852,plain,
% 11.35/11.58 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.35/11.58 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4309_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9245,plain,
% 11.35/11.58 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.35/11.58 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1852]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9246,plain,
% 11.35/11.58 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.58 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.35/11.58 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9245]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1850,plain,
% 11.35/11.58 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.58 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 11.35/11.58 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4314_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9241,plain,
% 11.35/11.58 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.58 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 11.35/11.58 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1850]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9242,plain,
% 11.35/11.58 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.58 | ~ c_lessequals(X0,X2,tc_nat)
% 11.35/11.58 | c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = c_HOL_Ominus__class_Ominus(X2,X1,tc_nat) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9241]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1845,plain,
% 11.35/11.58 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)),X1)
% 11.35/11.58 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4316_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9231,plain,
% 11.35/11.58 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat)),X1)
% 11.35/11.58 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1845]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9232,plain,
% 11.35/11.58 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.58 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X2) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9231]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1843,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4317_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9227,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1843]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9228,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 11.35/11.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0))) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9227]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1837,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4319_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9215,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1837]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9216,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.58 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9215]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1834,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4320_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9209,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1834]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9210,plain,
% 11.35/11.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.58 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9209]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1831,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4321_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9203,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1831]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9204,plain,
% 11.35/11.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.58 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9203]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1828,plain,
% 11.35/11.58 ( c_lessequals(X0,X1,X2)
% 11.35/11.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4322_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9197,plain,
% 11.35/11.58 ( c_lessequals(X0,X1,X2)
% 11.35/11.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1828]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9198,plain,
% 11.35/11.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.35/11.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.58 | c_lessequals(X2,X3,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9197]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1825,plain,
% 11.35/11.58 ( c_lessequals(X0,X1,X2)
% 11.35/11.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4323_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9191,plain,
% 11.35/11.58 ( c_lessequals(X0,X1,X2)
% 11.35/11.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1825]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9192,plain,
% 11.35/11.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.35/11.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.58 | c_lessequals(X1,X3,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9191]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1822,plain,
% 11.35/11.58 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.35/11.58 | ~ c_lessequals(X2,X1,tc_nat)
% 11.35/11.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4324_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9185,plain,
% 11.35/11.58 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.35/11.58 | ~ c_lessequals(X2,X1,tc_nat)
% 11.35/11.58 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1822]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9186,plain,
% 11.35/11.58 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.35/11.58 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.58 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9185]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1802,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4329_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9145,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1802]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9146,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9145]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1786,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4333_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9113,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1786]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9114,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9113]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1790,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4332_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9121,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1790]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9122,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9121]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1774,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4336_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9089,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1774]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9090,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9089]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1762,plain,
% 11.35/11.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Omult__mono1(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4339_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9065,plain,
% 11.35/11.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Omult__mono1(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1762]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9066,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 11.35/11.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_lessequals(X2,X3,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9065]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1758,plain,
% 11.35/11.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4340_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9057,plain,
% 11.35/11.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1758]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9058,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 11.35/11.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_lessequals(X2,X3,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9057]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1754,plain,
% 11.35/11.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.35/11.58 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4341_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9049,plain,
% 11.35/11.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0)
% 11.35/11.58 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Omult__mono(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1754]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9050,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 11.35/11.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X1),X0)
% 11.35/11.58 | ~ c_lessequals(X2,X3,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9049]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1742,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4344_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9025,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1742]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1730,plain,
% 11.35/11.58 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 11.35/11.58 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4347_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9001,plain,
% 11.35/11.58 ( c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 11.35/11.58 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1730]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_9002,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.58 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.58 | c_lessequals(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X3),X2),X0)
% 11.35/11.58 | ~ c_lessequals(X1,X3,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_9001]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1718,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4350_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8977,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.35/11.58 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1718]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8978,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X3),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8977]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1712,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1)
% 11.35/11.58 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4352_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8965,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1)
% 11.35/11.58 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1712]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8966,plain,
% 11.35/11.58 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_HOL_Oone__class_Oone(X0))),X1) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8965]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1709,plain,
% 11.35/11.58 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.58 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)),c_HOL_Oone__class_Oone(X1))
% 11.35/11.58 | ~ class_Divides_Osemiring__div(X1) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4353_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8959,plain,
% 11.35/11.58 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.58 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)),c_HOL_Oone__class_Oone(X1))
% 11.35/11.58 | ~ class_Divides_Osemiring__div(X1) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1709]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8960,plain,
% 11.35/11.58 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.58 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X1,X2,X0)),c_HOL_Oone__class_Oone(X0))
% 11.35/11.58 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8959]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1706,plain,
% 11.35/11.58 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.58 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)),c_HOL_Oone__class_Oone(X1))
% 11.35/11.58 | ~ class_Divides_Osemiring__div(X1) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4354_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8953,plain,
% 11.35/11.58 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.58 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_Divides_Odiv__class_Odiv(X2,X0,X1)),c_HOL_Oone__class_Oone(X1))
% 11.35/11.58 | ~ class_Divides_Osemiring__div(X1) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1706]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8954,plain,
% 11.35/11.58 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.58 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Divides_Odiv__class_Odiv(X2,X1,X0)),c_HOL_Oone__class_Oone(X0))
% 11.35/11.58 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8953]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1704,plain,
% 11.35/11.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),X1,tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4355_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8949,plain,
% 11.35/11.58 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),X1,tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1704]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1700,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.58 | ~ c_lessequals(X2,X4,X0)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4356_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8941,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.58 | ~ c_lessequals(X2,X4,X0)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1700]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8942,plain,
% 11.35/11.58 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.35/11.58 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8941]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1692,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4358_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8925,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1692]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8926,plain,
% 11.35/11.58 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.35/11.58 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8925]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1688,plain,
% 11.35/11.58 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.35/11.58 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.58 | ~ c_lessequals(X2,X4,X0)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4359_3) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8917,plain,
% 11.35/11.58 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.35/11.58 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.58 | ~ c_lessequals(X2,X4,X0)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1688]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8918,plain,
% 11.35/11.58 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.35/11.58 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 11.35/11.58 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.58 | ~ c_lessequals(X2,X4,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8917]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1686,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X2),c_Orderings_Oord__class_Omax(X0,X3,X2),X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.35/11.58 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4360_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8913,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X2),c_Orderings_Oord__class_Omax(X0,X3,X2),X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.35/11.58 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1686]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8914,plain,
% 11.35/11.58 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.58 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X1,X3,X0),X0) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8913]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1684,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X2),c_Orderings_Oord__class_Omax(X3,X1,X2),X2) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.35/11.58 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4361_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8909,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X1,X2),c_Orderings_Oord__class_Omax(X3,X1,X2),X2) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.35/11.58 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1684]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8910,plain,
% 11.35/11.58 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.58 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X2,X0),c_Orderings_Oord__class_Omax(X3,X2,X0),X0) = c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8909]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1682,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4362_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8905,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1682]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8906,plain,
% 11.35/11.58 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.35/11.58 | c_Orderings_Oord__class_Omax(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omax(X1,X3,X0),X2,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8905]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1680,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2) = c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.35/11.58 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4363_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8901,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X0,X3,X2),X2) = c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.35/11.58 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1680]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8902,plain,
% 11.35/11.58 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.58 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X1,X3,X0),X0) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8901]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1678,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X3,X1,X2),X2) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.35/11.58 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4364_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8897,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X0,X1,X2),c_Orderings_Oord__class_Omin(X3,X1,X2),X2) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.35/11.58 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1678]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8898,plain,
% 11.35/11.58 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.58 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omin(X1,X2,X0),c_Orderings_Oord__class_Omin(X3,X2,X0),X0) = c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omax(X1,X3,X0),X2,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8897]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1676,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4365_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8893,plain,
% 11.35/11.58 ( c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ominus__class_Ominus(X3,X1,X2),X2) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.35/11.58 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1676]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8894,plain,
% 11.35/11.58 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 11.35/11.58 | c_Orderings_Oord__class_Omin(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ominus__class_Ominus(X3,X2,X0),X0) = c_HOL_Ominus__class_Ominus(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8893]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1673,plain,
% 11.35/11.58 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.35/11.58 | X1 = X2
% 11.35/11.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4366_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8887,plain,
% 11.35/11.58 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.35/11.58 | X1 = X2
% 11.35/11.58 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1673]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8888,plain,
% 11.35/11.58 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X3))
% 11.35/11.58 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.35/11.58 | X2 = X3 ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8887]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1668,plain,
% 11.35/11.58 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.35/11.58 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4368_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8877,plain,
% 11.35/11.58 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.35/11.58 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1668]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1665,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.35/11.58 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4369_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8871,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.35/11.58 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1665]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8872,plain,
% 11.35/11.58 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.58 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8871]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1662,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4370_2) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8865,plain,
% 11.35/11.58 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 11.35/11.58 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1662]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1660,plain,
% 11.35/11.58 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0))
% 11.35/11.58 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4371_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8861,plain,
% 11.35/11.58 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0))
% 11.35/11.58 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1660]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8862,plain,
% 11.35/11.58 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.58 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_Divides_Odiv__class_Omod(X2,X3,X0)) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8861]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_1658,plain,
% 11.35/11.58 ( hBOOL(hAPP(X0,X1))
% 11.35/11.58 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 11.35/11.58 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4372_1) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8857,plain,
% 11.35/11.58 ( hBOOL(hAPP(X0,X1))
% 11.35/11.58 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 11.35/11.58 inference(copy,[status(esa)],[c_1658]) ).
% 11.35/11.58
% 11.35/11.58 cnf(c_8858,plain,
% 11.35/11.58 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 11.35/11.58 | hBOOL(hAPP(X0,X1)) ),
% 11.35/11.58 inference(rewriting,[status(thm)],[c_8857]) ).
% 11.35/11.58
% 11.35/11.59 cnf(c_1656,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4373_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8853,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1656]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1654,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4374_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8849,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1654]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1652,plain,
% 11.35/11.59 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 11.35/11.59 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4375_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8845,plain,
% 11.35/11.59 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 11.35/11.59 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1652]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8846,plain,
% 11.35/11.59 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.59 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8845]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1650,plain,
% 11.35/11.59 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0)
% 11.35/11.59 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4376_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8841,plain,
% 11.35/11.59 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0)
% 11.35/11.59 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1650]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8842,plain,
% 11.35/11.59 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.59 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)),X3,X0) = c_Divides_Odiv__class_Omod(X1,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8841]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1648,plain,
% 11.35/11.59 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4377_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8837,plain,
% 11.35/11.59 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1648]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1638,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4380_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8817,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1638]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8818,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8817]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1636,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4381_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8813,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1636]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8814,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8813]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1634,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4382_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8809,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1634]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8810,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8809]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1632,plain,
% 11.35/11.59 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4383_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8805,plain,
% 11.35/11.59 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1632]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8806,plain,
% 11.35/11.59 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.35/11.59 | c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8805]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1626,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 11.35/11.59 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4386_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8793,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 11.35/11.59 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1626]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8794,plain,
% 11.35/11.59 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.59 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8793]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1624,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 11.35/11.59 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4387_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8789,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3))
% 11.35/11.59 | ~ class_OrderedGroup_Oab__semigroup__mult(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1624]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8790,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 11.35/11.59 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8789]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1622,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 11.35/11.59 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4388_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8785,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2))
% 11.35/11.59 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1622]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8786,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.35/11.59 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8785]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1616,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.35/11.59 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4391_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8773,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.35/11.59 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1616]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8774,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 11.35/11.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8773]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1614,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.35/11.59 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4392_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8769,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.35/11.59 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1614]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8770,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.35/11.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8769]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1612,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.35/11.59 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4393_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8765,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3))
% 11.35/11.59 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1612]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8766,plain,
% 11.35/11.59 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2)),X3) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8765]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1610,plain,
% 11.35/11.59 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 11.35/11.59 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4396_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8761,plain,
% 11.35/11.59 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 11.35/11.59 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1610]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8762,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.35/11.59 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8761]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1608,plain,
% 11.35/11.59 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 11.35/11.59 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4397_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8757,plain,
% 11.35/11.59 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3))
% 11.35/11.59 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1608]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8758,plain,
% 11.35/11.59 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.59 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X3) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3)) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8757]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1593,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4402_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8727,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1593]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8728,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8727]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1596,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4401_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8733,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1596]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8734,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8733]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1587,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X0,X2,tc_nat)
% 11.35/11.59 | ~ c_lessequals(X1,X3,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4404_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8715,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X3),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X0,X2,tc_nat)
% 11.35/11.59 | ~ c_lessequals(X1,X3,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1587]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1584,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4405_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8709,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1584]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1581,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X0,X2,tc_nat)
% 11.35/11.59 | ~ c_lessequals(X1,X3,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4406_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8703,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X0,X2,tc_nat)
% 11.35/11.59 | ~ c_lessequals(X1,X3,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1581]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1579,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4407_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8699,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1579]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1577,plain,
% 11.35/11.59 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4408_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8695,plain,
% 11.35/11.59 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1577]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8696,plain,
% 11.35/11.59 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.35/11.59 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8695]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1575,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1)
% 11.35/11.59 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4409_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8691,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1)
% 11.35/11.59 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1575]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8692,plain,
% 11.35/11.59 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0))),X1) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8691]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1551,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4416_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8643,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1551]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1540,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 11.35/11.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 11.35/11.59 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4419_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8621,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 11.35/11.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X3)
% 11.35/11.59 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1540]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8622,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.35/11.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X4)
% 11.35/11.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8621]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1533,plain,
% 11.35/11.59 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4421_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8607,plain,
% 11.35/11.59 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1533]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8608,plain,
% 11.35/11.59 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.59 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) = c_HOL_Ominus__class_Ominus(X2,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8607]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1531,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4424_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8603,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1531]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8604,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8603]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1529,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.35/11.59 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4425_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8599,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.35/11.59 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1529]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1525,plain,
% 11.35/11.59 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
% 11.35/11.59 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4427_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8591,plain,
% 11.35/11.59 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat))
% 11.35/11.59 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1525]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8592,plain,
% 11.35/11.59 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.59 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X0,tc_nat) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8591]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1523,plain,
% 11.35/11.59 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4428_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8587,plain,
% 11.35/11.59 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1523]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8588,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8587]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1518,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4430_0) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8577,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1518]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1515,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4430_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8571,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1515]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8572,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8571]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1514,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4431_0) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8569,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1514]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1511,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4431_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8563,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1511]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8564,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8563]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1510,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.35/11.59 | c_lessequals(X2,X3,X0)
% 11.35/11.59 | c_lessequals(X1,X3,X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4432_0) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8561,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.35/11.59 | c_lessequals(X2,X3,X0)
% 11.35/11.59 | c_lessequals(X1,X3,X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1510]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1507,plain,
% 11.35/11.59 ( c_lessequals(X0,X1,X2)
% 11.35/11.59 | c_lessequals(X3,X1,X2)
% 11.35/11.59 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4432_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8555,plain,
% 11.35/11.59 ( c_lessequals(X0,X1,X2)
% 11.35/11.59 | c_lessequals(X3,X1,X2)
% 11.35/11.59 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1507]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8556,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.35/11.59 | c_lessequals(X1,X3,X0)
% 11.35/11.59 | c_lessequals(X2,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8555]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1506,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.35/11.59 | c_lessequals(X1,X3,X0)
% 11.35/11.59 | c_lessequals(X1,X2,X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4433_0) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8553,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.35/11.59 | c_lessequals(X1,X3,X0)
% 11.35/11.59 | c_lessequals(X1,X2,X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1506]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1503,plain,
% 11.35/11.59 ( c_lessequals(X0,X1,X2)
% 11.35/11.59 | c_lessequals(X0,X3,X2)
% 11.35/11.59 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4433_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8547,plain,
% 11.35/11.59 ( c_lessequals(X0,X1,X2)
% 11.35/11.59 | c_lessequals(X0,X3,X2)
% 11.35/11.59 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1503]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8548,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.35/11.59 | c_lessequals(X1,X2,X0)
% 11.35/11.59 | c_lessequals(X1,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8547]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1501,plain,
% 11.35/11.59 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 11.35/11.59 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4434_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8543,plain,
% 11.35/11.59 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 11.35/11.59 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1501]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8544,plain,
% 11.35/11.59 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 11.35/11.59 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8543]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1499,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4435_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8539,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1499]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1497,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4436_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8535,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1497]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1493,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4439_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8527,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1493]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1485,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4441_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8511,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1485]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1481,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4442_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8503,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1481]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1477,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4443_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8495,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1477]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1473,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4444_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8487,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1473]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8488,plain,
% 11.35/11.59 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.35/11.59 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8487]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1469,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4445_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8479,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1469]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8480,plain,
% 11.35/11.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8479]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1465,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4446_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8471,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1465]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8472,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.35/11.59 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8471]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1453,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4449_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8447,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1453]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8448,plain,
% 11.35/11.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8447]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1449,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4450_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8439,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1449]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8440,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8439]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1445,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4451_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8431,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1445]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8432,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8431]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1425,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4456_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8391,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1425]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8392,plain,
% 11.35/11.59 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8391]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1409,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4460_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8359,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1409]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8360,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8359]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1401,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4462_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8343,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1401]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8344,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8343]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1397,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4463_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8335,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1397]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1393,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4464_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8327,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1393]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8328,plain,
% 11.35/11.59 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8327]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1389,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4465_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8319,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1389]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8320,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.35/11.59 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.59 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8319]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1386,plain,
% 11.35/11.59 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.35/11.59 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.35/11.59 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4466_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8313,plain,
% 11.35/11.59 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.35/11.59 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.35/11.59 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1386]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1383,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4467_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8307,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1383]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1379,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4468_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8299,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.35/11.59 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1379]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8300,plain,
% 11.35/11.59 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X2),X1),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X2,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8299]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1369,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.35/11.59 | ~ c_lessequals(X0,X3,X1)
% 11.35/11.59 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4470_4) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8279,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 11.35/11.59 | ~ c_lessequals(X0,X3,X1)
% 11.35/11.59 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1369]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8280,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.35/11.59 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.35/11.59 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8279]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1356,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4473_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8253,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1356]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8254,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8253]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1353,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4474_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8247,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1353]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8248,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8247]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1350,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4475_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8241,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1350]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8242,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8241]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1347,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4476_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8235,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1347]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8236,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8235]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1344,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.59 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4477_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8229,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.59 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1344]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8230,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.35/11.59 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.59 | ~ c_lessequals(X2,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8229]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1341,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.59 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4478_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8223,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.59 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1341]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8224,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 11.35/11.59 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.59 | ~ c_lessequals(X1,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8223]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1338,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.59 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4479_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8217,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.59 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1338]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8218,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.35/11.59 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 11.35/11.59 | ~ c_lessequals(X2,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8217]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1335,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.59 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4480_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8211,plain,
% 11.35/11.59 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.59 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.59 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1335]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8212,plain,
% 11.35/11.59 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 11.35/11.59 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 11.35/11.59 | ~ c_lessequals(X1,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8211]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1333,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4481_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8207,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1333]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8208,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8207]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1330,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4482_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8201,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1330]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8202,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8201]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1323,plain,
% 11.35/11.59 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4484_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8187,plain,
% 11.35/11.59 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1323]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1321,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4485_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8183,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1321]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1319,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4486_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8179,plain,
% 11.35/11.59 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 11.35/11.59 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1319]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1318,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4487_0) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8177,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1318]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1316,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4487_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8173,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1316]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8174,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8173]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1312,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4488_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8165,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1312]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8166,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8165]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1300,plain,
% 11.35/11.59 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 11.35/11.59 | ~ c_lessequals(X0,X3,X2)
% 11.35/11.59 | ~ c_lessequals(X1,X3,X2)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4491_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8141,plain,
% 11.35/11.59 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 11.35/11.59 | ~ c_lessequals(X0,X3,X2)
% 11.35/11.59 | ~ c_lessequals(X1,X3,X2)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1300]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8142,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.35/11.59 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.59 | ~ c_lessequals(X2,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8141]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1288,plain,
% 11.35/11.59 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 11.35/11.59 | ~ c_lessequals(X0,X1,X3)
% 11.35/11.59 | ~ c_lessequals(X0,X2,X3)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4494_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8117,plain,
% 11.35/11.59 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 11.35/11.59 | ~ c_lessequals(X0,X1,X3)
% 11.35/11.59 | ~ c_lessequals(X0,X2,X3)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1288]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8118,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.35/11.59 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.59 | ~ c_lessequals(X1,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8117]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1284,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4495_3) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8109,plain,
% 11.35/11.59 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1284]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8110,plain,
% 11.35/11.59 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8109]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1281,plain,
% 11.35/11.59 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 11.35/11.59 | ~ c_Type_Otyping(X0,X1,c_Type_Otype_OFun(X4,X3))
% 11.35/11.59 | ~ c_Type_Otyping(X0,X2,X4) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4496_2) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8103,plain,
% 11.35/11.59 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 11.35/11.59 | ~ c_Type_Otyping(X0,X1,c_Type_Otype_OFun(X4,X3))
% 11.35/11.59 | ~ c_Type_Otyping(X0,X2,X4) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1281]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1277,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 11.35/11.59 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4498_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8095,plain,
% 11.35/11.59 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 11.35/11.59 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1277]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8096,plain,
% 11.35/11.59 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.59 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8095]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1271,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4500_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8083,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1271]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8084,plain,
% 11.35/11.59 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.59 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.35/11.59 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 11.35/11.59 inference(rewriting,[status(thm)],[c_8083]) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_1268,plain,
% 11.35/11.59 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X0,X2,X3),X3)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.59 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4502_1) ).
% 11.35/11.59
% 11.35/11.59 cnf(c_8077,plain,
% 11.35/11.59 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X0,X2,X3),X3)
% 11.35/11.59 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.59 inference(copy,[status(esa)],[c_1268]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8078,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) = c_Orderings_Oord__class_Omax(X2,c_Orderings_Oord__class_Omax(X1,X3,X0),X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_8077]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1266,plain,
% 11.35/11.60 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4503_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8073,plain,
% 11.35/11.60 ( c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1266]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8074,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_Orderings_Oord__class_Omax(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0) = c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_8073]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1264,plain,
% 11.35/11.60 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X0,X2,X3),X3)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4504_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8069,plain,
% 11.35/11.60 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X0,X2,X3),X3)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1264]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8070,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) = c_Orderings_Oord__class_Omin(X2,c_Orderings_Oord__class_Omin(X1,X3,X0),X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_8069]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1262,plain,
% 11.35/11.60 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4505_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8065,plain,
% 11.35/11.60 ( c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2) = c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1262]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8066,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_Orderings_Oord__class_Omin(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0) = c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_8065]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1259,plain,
% 11.35/11.60 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.60 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 11.35/11.60 | ~ class_Divides_Osemiring__div(X1) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4506_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8059,plain,
% 11.35/11.60 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.60 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X3),X0),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 11.35/11.60 | ~ class_Divides_Osemiring__div(X1) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1259]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8060,plain,
% 11.35/11.60 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.60 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X3),X2),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 11.35/11.60 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_8059]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1256,plain,
% 11.35/11.60 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.60 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 11.35/11.60 | ~ class_Divides_Osemiring__div(X1) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4507_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8053,plain,
% 11.35/11.60 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.35/11.60 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X3),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 11.35/11.60 | ~ class_Divides_Osemiring__div(X1) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1256]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8054,plain,
% 11.35/11.60 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.60 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 11.35/11.60 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_8053]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1254,plain,
% 11.35/11.60 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.60 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4508_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8049,plain,
% 11.35/11.60 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.60 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1254]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8050,plain,
% 11.35/11.60 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.35/11.60 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_8049]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1246,plain,
% 11.35/11.60 ( c_Type_Otype_OFun(c_Type_Osko__Type__Xtyping__elims__3__1(X0,X1,X2),c_Type_Osko__Type__Xtyping__elims__3__2(X0,X1,X2)) = X0
% 11.35/11.60 | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4512_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8033,plain,
% 11.35/11.60 ( c_Type_Otype_OFun(c_Type_Osko__Type__Xtyping__elims__3__1(X0,X1,X2),c_Type_Osko__Type__Xtyping__elims__3__2(X0,X1,X2)) = X0
% 11.35/11.60 | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1246]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_8034,plain,
% 11.35/11.60 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 11.35/11.60 | c_Type_Otype_OFun(c_Type_Osko__Type__Xtyping__elims__3__1(X2,X0,X1),c_Type_Osko__Type__Xtyping__elims__3__2(X2,X0,X1)) = X2 ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_8033]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1228,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4518_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7997,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1228]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1226,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 11.35/11.60 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4520_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7993,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 11.35/11.60 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1226]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7994,plain,
% 11.35/11.60 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7993]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1224,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 11.35/11.60 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4521_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7989,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 11.35/11.60 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1224]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7990,plain,
% 11.35/11.60 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)),X1) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7989]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1206,plain,
% 11.35/11.60 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.60 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4527_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7953,plain,
% 11.35/11.60 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.60 | ~ class_Divides_Osemiring__div(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1206]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7954,plain,
% 11.35/11.60 ( ~ class_Divides_Osemiring__div(X0)
% 11.35/11.60 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X2),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7953]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1200,plain,
% 11.35/11.60 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.35/11.60 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4530_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7941,plain,
% 11.35/11.60 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.35/11.60 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1200]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1198,plain,
% 11.35/11.60 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.35/11.60 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4531_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7937,plain,
% 11.35/11.60 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.35/11.60 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1198]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1196,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4532_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7933,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1196]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1194,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4533_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7929,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1194]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1192,plain,
% 11.35/11.60 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.35/11.60 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4534_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7925,plain,
% 11.35/11.60 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),tc_nat)
% 11.35/11.60 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1192]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1190,plain,
% 11.35/11.60 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 11.35/11.60 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4535_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7921,plain,
% 11.35/11.60 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat)
% 11.35/11.60 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1190]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1188,plain,
% 11.35/11.60 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.60 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4536_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7917,plain,
% 11.35/11.60 ( hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.60 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1188]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7918,plain,
% 11.35/11.60 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.35/11.60 | hAPP(hAPP(c_Power_Opower_Opower(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oplus__class_Oplus(X0),X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7917]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1185,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4537_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7911,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1185]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7912,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7911]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1182,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4538_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7905,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1182]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7906,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7905]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1179,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4539_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7899,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1179]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7900,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7899]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1176,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4540_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7893,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1176]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7894,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7893]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1167,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4543_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7875,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1167]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7876,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.35/11.60 | c_lessequals(X1,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7875]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1164,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4544_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7869,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1164]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7870,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 11.35/11.60 | c_lessequals(X2,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7869]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1155,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4547_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7851,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1155]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7852,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.35/11.60 | c_lessequals(X1,X2,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7851]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1152,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4548_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7845,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1152]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7846,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 11.35/11.60 | c_lessequals(X1,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7845]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1150,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3))
% 11.35/11.60 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4549_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7841,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3))
% 11.35/11.60 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1150]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7842,plain,
% 11.35/11.60 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X3)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X3)) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7841]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1148,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 11.35/11.60 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4550_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7837,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 11.35/11.60 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1148]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7838,plain,
% 11.35/11.60 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7837]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1146,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 11.35/11.60 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4551_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7833,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 11.35/11.60 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1146]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7834,plain,
% 11.35/11.60 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7833]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1144,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 11.35/11.60 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4552_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7829,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3))
% 11.35/11.60 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1144]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7830,plain,
% 11.35/11.60 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7829]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1141,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.35/11.60 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4553_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7823,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.35/11.60 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1141]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7824,plain,
% 11.35/11.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7823]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1136,plain,
% 11.35/11.60 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.35/11.60 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4556_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7813,plain,
% 11.35/11.60 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.35/11.60 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1136]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7814,plain,
% 11.35/11.60 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.35/11.60 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7813]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1134,plain,
% 11.35/11.60 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.35/11.60 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4557_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7809,plain,
% 11.35/11.60 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 11.35/11.60 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1134]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7810,plain,
% 11.35/11.60 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.35/11.60 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7809]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1130,plain,
% 11.35/11.60 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 11.35/11.60 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4559_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7801,plain,
% 11.35/11.60 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 11.35/11.60 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1130]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7802,plain,
% 11.35/11.60 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.35/11.60 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7801]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1128,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4563_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7797,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1128]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7798,plain,
% 11.35/11.60 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7797]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1126,plain,
% 11.35/11.60 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 11.35/11.60 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4566_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7793,plain,
% 11.35/11.60 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 11.35/11.60 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1126]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1124,plain,
% 11.35/11.60 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4567_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7789,plain,
% 11.35/11.60 ( c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1124]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7790,plain,
% 11.35/11.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.60 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X0,tc_nat) = c_Divides_Odiv__class_Omod(X1,X0,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7789]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1110,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.60 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4570_3) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7761,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.35/11.60 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1110]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7762,plain,
% 11.35/11.60 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 11.35/11.60 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7761]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1108,plain,
% 11.35/11.60 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.35/11.60 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4571_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7757,plain,
% 11.35/11.60 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.35/11.60 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1108]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7758,plain,
% 11.35/11.60 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 11.35/11.60 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7757]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1106,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4572_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7753,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1106]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7754,plain,
% 11.35/11.60 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2),tc_nat)
% 11.35/11.60 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7753]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1104,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4573_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7749,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0),tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1104]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7750,plain,
% 11.35/11.60 ( c_lessequals(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1),tc_nat)
% 11.35/11.60 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7749]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1102,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4574_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7745,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1102]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7746,plain,
% 11.35/11.60 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.35/11.60 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7745]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1100,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4575_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7741,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1100]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7742,plain,
% 11.35/11.60 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),tc_nat)
% 11.35/11.60 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7741]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1097,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4578_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7735,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1097]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1095,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4579_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7731,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1095]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7732,plain,
% 11.35/11.60 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.35/11.60 | c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7731]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1093,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4580_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7727,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1093]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7728,plain,
% 11.35/11.60 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.35/11.60 | c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7727]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1091,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4581_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7723,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1091]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7724,plain,
% 11.35/11.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7723]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1088,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4582_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7717,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1088]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7718,plain,
% 11.35/11.60 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7717]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1086,plain,
% 11.35/11.60 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 11.35/11.60 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4583_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7713,plain,
% 11.35/11.60 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1
% 11.35/11.60 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1086]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7714,plain,
% 11.35/11.60 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat)
% 11.35/11.60 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) = X1 ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7713]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1084,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 11.35/11.60 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4584_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7709,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 11.35/11.60 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1084]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7710,plain,
% 11.35/11.60 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7709]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1077,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.60 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4588_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7695,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.60 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1077]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1074,plain,
% 11.35/11.60 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4589_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7689,plain,
% 11.35/11.60 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1074]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1071,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4590_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7683,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1071]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7684,plain,
% 11.35/11.60 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7683]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1068,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4591_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7677,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1068]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1065,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4592_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7671,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1065]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1062,plain,
% 11.35/11.60 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.35/11.60 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.60 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4593_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7665,plain,
% 11.35/11.60 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 11.35/11.60 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.60 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1062]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1059,plain,
% 11.35/11.60 ( c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.35/11.60 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4594_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7659,plain,
% 11.35/11.60 ( c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.35/11.60 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1059]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7660,plain,
% 11.35/11.60 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.60 | c_lessequals(c_HOL_Oone__class_Oone(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.35/11.60 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),X1,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7659]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1056,plain,
% 11.35/11.60 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.35/11.60 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4595_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7653,plain,
% 11.35/11.60 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.35/11.60 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1056]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7654,plain,
% 11.35/11.60 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.60 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2),X0)
% 11.35/11.60 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7653]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1054,plain,
% 11.35/11.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4596_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7649,plain,
% 11.35/11.60 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1054]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1052,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.60 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4597_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7645,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.60 | c_Divides_Odiv__class_Omod(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X1,tc_nat) = c_Divides_Odiv__class_Omod(X0,X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1052]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1049,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4598_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7639,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1049]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1046,plain,
% 11.35/11.60 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.35/11.60 | ~ c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4599_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7633,plain,
% 11.35/11.60 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 11.35/11.60 | ~ c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1046]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1044,plain,
% 11.35/11.60 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1
% 11.35/11.60 | ~ class_Ring__and__Field_Osemiring__1(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4601_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7629,plain,
% 11.35/11.60 ( c_Nat_Osemiring__1__class_Oof__nat__aux(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,X2) = X1
% 11.35/11.60 | ~ class_Ring__and__Field_Osemiring__1(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1044]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7630,plain,
% 11.35/11.60 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.35/11.60 | c_Nat_Osemiring__1__class_Oof__nat__aux(X1,c_HOL_Ozero__class_Ozero(tc_nat),X2,X0) = X2 ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7629]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1042,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4602_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7625,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1042]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7626,plain,
% 11.35/11.60 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7625]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1029,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4607_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7599,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1029]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7600,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7599]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1026,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4608_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7593,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1026]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7594,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7593]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1017,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4611_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7575,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1017]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7576,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7575]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1014,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4612_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7569,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1014]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7570,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7569]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1005,plain,
% 11.35/11.60 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.35/11.60 | ~ c_lessequals(X0,X1,X3)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4615_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7551,plain,
% 11.35/11.60 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.35/11.60 | ~ c_lessequals(X0,X1,X3)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1005]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7552,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7551]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_1002,plain,
% 11.35/11.60 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.35/11.60 | ~ c_lessequals(X0,X2,X3)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4616_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7545,plain,
% 11.35/11.60 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 11.35/11.60 | ~ c_lessequals(X0,X2,X3)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X3) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_1002]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7546,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 11.35/11.60 | ~ c_lessequals(X1,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7545]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_993,plain,
% 11.35/11.60 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.35/11.60 | ~ c_lessequals(X0,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4619_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7527,plain,
% 11.35/11.60 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.35/11.60 | ~ c_lessequals(X0,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_993]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7528,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.35/11.60 | ~ c_lessequals(X1,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7527]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_990,plain,
% 11.35/11.60 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.35/11.60 | ~ c_lessequals(X1,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4620_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7521,plain,
% 11.35/11.60 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 11.35/11.60 | ~ c_lessequals(X1,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_990]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7522,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 11.35/11.60 | ~ c_lessequals(X2,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7521]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_988,plain,
% 11.35/11.60 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 11.35/11.60 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4624_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7517,plain,
% 11.35/11.60 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 11.35/11.60 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_988]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7518,plain,
% 11.35/11.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.60 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7517]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_986,plain,
% 11.35/11.60 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 11.35/11.60 | ~ c_Lambda_Obeta(X0,X3) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4625_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7513,plain,
% 11.35/11.60 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 11.35/11.60 | ~ c_Lambda_Obeta(X0,X3) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_986]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_984,plain,
% 11.35/11.60 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4626_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7509,plain,
% 11.35/11.60 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_984]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_982,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4627_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7505,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_982]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7506,plain,
% 11.35/11.60 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | c_HOL_Oord__class_Oless(c_Divides_Odiv__class_Omod(X1,X0,tc_nat),X0,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7505]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_980,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4628_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7501,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_980]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_978,plain,
% 11.35/11.60 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 11.35/11.60 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4629_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7497,plain,
% 11.35/11.60 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 11.35/11.60 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_978]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7498,plain,
% 11.35/11.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.60 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7497]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_976,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4630_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7493,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_976]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7494,plain,
% 11.35/11.60 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7493]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_974,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4631_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7489,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0)
% 11.35/11.60 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_974]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7490,plain,
% 11.35/11.60 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)),c_Nat_Osemiring__1__class_Oof__nat(X2,X0)) = c_Nat_Osemiring__1__class_Oof__nat(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2),X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7489]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_972,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4632_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7485,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_972]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_967,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4637_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7475,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_967]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_965,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4638_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7471,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_965]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_963,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 11.35/11.60 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4639_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7467,plain,
% 11.35/11.60 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 11.35/11.60 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_963]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7468,plain,
% 11.35/11.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.35/11.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7467]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_962,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4640_0) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7465,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_962]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_959,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.35/11.60 | ~ c_lessequals(X3,X1,X2)
% 11.35/11.60 | ~ class_Orderings_Opreorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4640_3) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7459,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.35/11.60 | ~ c_lessequals(X3,X1,X2)
% 11.35/11.60 | ~ class_Orderings_Opreorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_959]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7460,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7459]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_954,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | ~ c_lessequals(X3,X1,X0)
% 11.35/11.60 | c_lessequals(X3,X2,X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4642_0) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7449,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | ~ c_lessequals(X3,X1,X0)
% 11.35/11.60 | c_lessequals(X3,X2,X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_954]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_953,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | c_lessequals(X3,X2,X0)
% 11.35/11.60 | ~ c_lessequals(X3,X1,X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4642_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7447,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | c_lessequals(X3,X2,X0)
% 11.35/11.60 | ~ c_lessequals(X3,X1,X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_953]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_951,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ c_lessequals(X0,X3,X2)
% 11.35/11.60 | ~ c_lessequals(X3,X1,X2)
% 11.35/11.60 | ~ class_Orderings_Opreorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4642_3) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7443,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ c_lessequals(X0,X3,X2)
% 11.35/11.60 | ~ c_lessequals(X3,X1,X2)
% 11.35/11.60 | ~ class_Orderings_Opreorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_951]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7444,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | c_lessequals(X1,X2,X0)
% 11.35/11.60 | ~ c_lessequals(X1,X3,X0)
% 11.35/11.60 | ~ c_lessequals(X3,X2,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7443]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_946,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4644_0) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7433,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_946]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_943,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.35/11.60 | ~ c_lessequals(X0,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Oorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4644_3) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7427,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.35/11.60 | ~ c_lessequals(X0,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Oorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_943]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7428,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7427]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_942,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.60 | c_lessequals(X1,X3,X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4645_0) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7425,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | ~ c_lessequals(X2,X3,X0)
% 11.35/11.60 | c_lessequals(X1,X3,X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_942]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_941,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | c_lessequals(X1,X3,X0)
% 11.35/11.60 | ~ c_lessequals(X2,X3,X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4645_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7423,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.35/11.60 | c_lessequals(X1,X3,X0)
% 11.35/11.60 | ~ c_lessequals(X2,X3,X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_941]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_939,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ c_lessequals(X3,X1,X2)
% 11.35/11.60 | ~ c_lessequals(X0,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Oorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4645_3) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7419,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,X2)
% 11.35/11.60 | ~ c_lessequals(X3,X1,X2)
% 11.35/11.60 | ~ c_lessequals(X0,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Oorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_939]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7420,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | c_lessequals(X1,X2,X0)
% 11.35/11.60 | ~ c_lessequals(X3,X2,X0)
% 11.35/11.60 | ~ c_lessequals(X1,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7419]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_938,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4646_0) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7417,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_938]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_937,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4646_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7415,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_937]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_935,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Oorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4646_3) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7411,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.35/11.60 | ~ class_Orderings_Oorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_935]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7412,plain,
% 11.35/11.60 ( ~ class_Orderings_Oorder(X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7411]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_934,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4647_0) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7409,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_934]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_933,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4647_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7407,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_933]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_931,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.35/11.60 | ~ class_Orderings_Opreorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4647_3) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7403,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 11.35/11.60 | ~ class_Orderings_Opreorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_931]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7404,plain,
% 11.35/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7403]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_929,plain,
% 11.35/11.60 ( c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.35/11.60 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4648_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7399,plain,
% 11.35/11.60 ( c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.35/11.60 | c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1 ),
% 11.35/11.60 inference(copy,[status(esa)],[c_929]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7400,plain,
% 11.35/11.60 ( c_Suc(c_Divides_Odiv__class_Omod(X0,X1,tc_nat)) != X1
% 11.35/11.60 | c_Divides_Odiv__class_Omod(c_Suc(X0),X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7399]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_927,plain,
% 11.35/11.60 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat) = X0
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4649_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7395,plain,
% 11.35/11.60 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X1,tc_nat) = X0
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_927]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7396,plain,
% 11.35/11.60 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7395]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_925,plain,
% 11.35/11.60 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4650_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7391,plain,
% 11.35/11.60 ( c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_925]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7392,plain,
% 11.35/11.60 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.35/11.60 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1),X0,tc_nat) = X1 ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7391]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_922,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4651_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7385,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_922]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7386,plain,
% 11.35/11.60 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 11.35/11.60 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7385]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_919,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4652_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7379,plain,
% 11.35/11.60 ( c_lessequals(X0,X1,tc_nat)
% 11.35/11.60 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 11.35/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_919]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7380,plain,
% 11.35/11.60 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.35/11.60 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 11.35/11.60 | c_lessequals(X1,X2,tc_nat) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7379]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_913,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4654_2) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7367,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_913]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_907,plain,
% 11.35/11.60 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.35/11.60 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4657_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7355,plain,
% 11.35/11.60 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.35/11.60 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_907]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_905,plain,
% 11.35/11.60 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.35/11.60 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4658_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7351,plain,
% 11.35/11.60 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.35/11.60 | ~ c_lessequals(X0,X2,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_905]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_899,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4661_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7339,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_899]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_897,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4662_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7335,plain,
% 11.35/11.60 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 11.35/11.60 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_897]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_895,plain,
% 11.35/11.60 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4666_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7331,plain,
% 11.35/11.60 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 inference(copy,[status(esa)],[c_895]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7332,plain,
% 11.35/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.35/11.60 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 11.35/11.60 inference(rewriting,[status(thm)],[c_7331]) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_893,plain,
% 11.35/11.60 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = c_Orderings_Oord__class_Omin(X0,X1,X2)
% 11.35/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.35/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4667_1) ).
% 11.35/11.60
% 11.35/11.60 cnf(c_7327,plain,
% 11.35/11.60 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = c_Orderings_Oord__class_Omin(X0,X1,X2)
% 11.40/11.60 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_893]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7328,plain,
% 11.40/11.60 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.60 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 11.40/11.60 inference(rewriting,[status(thm)],[c_7327]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_891,plain,
% 11.40/11.60 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 11.40/11.60 | ~ class_Divides_Osemiring__div(X2) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4668_1) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7323,plain,
% 11.40/11.60 ( c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_Divides_Odiv__class_Omod(X0,X1,X2)
% 11.40/11.60 | ~ class_Divides_Osemiring__div(X2) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_891]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7324,plain,
% 11.40/11.60 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.60 | c_Divides_Odiv__class_Omod(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 11.40/11.60 inference(rewriting,[status(thm)],[c_7323]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_889,plain,
% 11.40/11.60 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 11.40/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4669_1) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7319,plain,
% 11.40/11.60 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 11.40/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_889]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7320,plain,
% 11.40/11.60 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.40/11.60 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 11.40/11.60 inference(rewriting,[status(thm)],[c_7319]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_888,plain,
% 11.40/11.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.40/11.60 | ~ c_lessequals(X2,X0,tc_nat)
% 11.40/11.60 | c_lessequals(X2,X1,tc_nat) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4670_0) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7317,plain,
% 11.40/11.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.40/11.60 | ~ c_lessequals(X2,X0,tc_nat)
% 11.40/11.60 | c_lessequals(X2,X1,tc_nat) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_888]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_887,plain,
% 11.40/11.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.40/11.60 | c_lessequals(X2,X1,tc_nat)
% 11.40/11.60 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4670_1) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7315,plain,
% 11.40/11.60 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.40/11.60 | c_lessequals(X2,X1,tc_nat)
% 11.40/11.60 | ~ c_lessequals(X2,X0,tc_nat) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_887]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_886,plain,
% 11.40/11.60 ( c_lessequals(X0,X1,tc_nat)
% 11.40/11.60 | ~ c_lessequals(X0,X2,tc_nat)
% 11.40/11.60 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4670_2) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7313,plain,
% 11.40/11.60 ( c_lessequals(X0,X1,tc_nat)
% 11.40/11.60 | ~ c_lessequals(X0,X2,tc_nat)
% 11.40/11.60 | ~ c_lessequals(X2,X1,tc_nat) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_886]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_880,plain,
% 11.40/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 11.40/11.60 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4673_1) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7301,plain,
% 11.40/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 11.40/11.60 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_880]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7302,plain,
% 11.40/11.60 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.40/11.60 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 11.40/11.60 inference(rewriting,[status(thm)],[c_7301]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_878,plain,
% 11.40/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 11.40/11.60 | ~ class_Power_Opower(X0) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4674_1) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7297,plain,
% 11.40/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2))
% 11.40/11.60 | ~ class_Power_Opower(X0) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_878]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7298,plain,
% 11.40/11.60 ( ~ class_Power_Opower(X0)
% 11.40/11.60 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2)) = hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_Suc(X2)) ),
% 11.40/11.60 inference(rewriting,[status(thm)],[c_7297]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_876,plain,
% 11.40/11.60 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0)
% 11.40/11.60 | ~ class_Divides_Osemiring__div(X0) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4675_1) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7293,plain,
% 11.40/11.60 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0)
% 11.40/11.60 | ~ class_Divides_Osemiring__div(X0) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_876]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7294,plain,
% 11.40/11.60 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.60 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X1,X0) = c_Divides_Odiv__class_Omod(X2,X1,X0) ),
% 11.40/11.60 inference(rewriting,[status(thm)],[c_7293]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_874,plain,
% 11.40/11.60 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 11.40/11.60 | ~ class_Divides_Osemiring__div(X0) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4676_1) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7289,plain,
% 11.40/11.60 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0)
% 11.40/11.60 | ~ class_Divides_Osemiring__div(X0) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_874]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7290,plain,
% 11.40/11.60 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.60 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = c_Divides_Odiv__class_Omod(X1,X2,X0) ),
% 11.40/11.60 inference(rewriting,[status(thm)],[c_7289]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_872,plain,
% 11.40/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 11.40/11.60 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4677_1) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7285,plain,
% 11.40/11.60 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)
% 11.40/11.60 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_872]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7286,plain,
% 11.40/11.60 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 11.40/11.60 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) ),
% 11.40/11.60 inference(rewriting,[status(thm)],[c_7285]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_871,plain,
% 11.40/11.60 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 11.40/11.60 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.60 | hBOOL(hAPP(X1,X2))
% 11.40/11.60 | hBOOL(hAPP(X1,X0)) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4678_0) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7283,plain,
% 11.40/11.60 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 11.40/11.60 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.60 | hBOOL(hAPP(X1,X2))
% 11.40/11.60 | hBOOL(hAPP(X1,X0)) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_871]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_868,plain,
% 11.40/11.60 ( hBOOL(hAPP(X0,X1))
% 11.40/11.60 | hBOOL(hAPP(X0,X2))
% 11.40/11.60 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.60 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4678_3) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7277,plain,
% 11.40/11.60 ( hBOOL(hAPP(X0,X1))
% 11.40/11.60 | hBOOL(hAPP(X0,X2))
% 11.40/11.60 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.60 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_868]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7278,plain,
% 11.40/11.60 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 11.40/11.60 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.60 | hBOOL(hAPP(X1,X0))
% 11.40/11.60 | hBOOL(hAPP(X1,X2)) ),
% 11.40/11.60 inference(rewriting,[status(thm)],[c_7277]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_866,plain,
% 11.40/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.60 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4679_1) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7273,plain,
% 11.40/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.60 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_866]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_864,plain,
% 11.40/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 11.40/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4680_1) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7269,plain,
% 11.40/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0)
% 11.40/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_864]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7270,plain,
% 11.40/11.60 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.40/11.60 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_HOL_Oone__class_Oone(X0)),X0) ),
% 11.40/11.60 inference(rewriting,[status(thm)],[c_7269]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_862,plain,
% 11.40/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4681_1) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7265,plain,
% 11.40/11.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 11.40/11.60 inference(copy,[status(esa)],[c_862]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_860,plain,
% 11.40/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.40/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.60 | c_lessequals(X2,X1,X0)
% 11.40/11.60 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4682_1) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7261,plain,
% 11.40/11.60 ( ~ class_Orderings_Opreorder(X0)
% 11.40/11.60 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.60 | c_lessequals(X2,X1,X0)
% 11.40/11.60 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_860]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_855,plain,
% 11.40/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.40/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 11.40/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4684_2) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7251,plain,
% 11.40/11.60 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.40/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 11.40/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.40/11.60 inference(copy,[status(esa)],[c_855]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7252,plain,
% 11.40/11.60 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.40/11.60 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.40/11.60 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 11.40/11.60 inference(rewriting,[status(thm)],[c_7251]) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_852,plain,
% 11.40/11.60 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 11.40/11.60 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.40/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.40/11.60 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4685_2) ).
% 11.40/11.60
% 11.40/11.60 cnf(c_7245,plain,
% 11.40/11.60 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 11.40/11.60 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 11.40/11.60 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_852]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7246,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7245]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_849,plain,
% 11.40/11.61 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 11.40/11.61 | ~ c_lessequals(X0,X2,tc_nat)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4686_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7239,plain,
% 11.40/11.61 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 11.40/11.61 | ~ c_lessequals(X0,X2,tc_nat)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_849]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7240,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.40/11.61 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7239]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_825,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4696_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7191,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X2)),X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_825]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7192,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_Suc(X0)),X2)
% 11.40/11.61 | X1 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7191]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_822,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4697_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7185,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_822]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7186,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 11.40/11.61 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7185]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_810,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | ~ c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ c_lessequals(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Oorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4700_3) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7161,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | ~ c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ c_lessequals(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Oorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_810]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7162,plain,
% 11.40/11.61 ( ~ class_Orderings_Oorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | ~ c_lessequals(X2,X1,X0)
% 11.40/11.61 | X1 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7161]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_812,plain,
% 11.40/11.61 ( ~ class_Orderings_Oorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | X2 = X1
% 11.40/11.61 | ~ c_lessequals(X2,X1,X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4700_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7165,plain,
% 11.40/11.61 ( ~ class_Orderings_Oorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | X2 = X1
% 11.40/11.61 | ~ c_lessequals(X2,X1,X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_812]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7166,plain,
% 11.40/11.61 ( ~ class_Orderings_Oorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | ~ c_lessequals(X2,X1,X0)
% 11.40/11.61 | X2 = X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7165]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_806,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.40/11.61 | ~ class_Int_Onumber__ring(X2)
% 11.40/11.61 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4702_3) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7153,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.40/11.61 | ~ class_Int_Onumber__ring(X2)
% 11.40/11.61 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_806]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7154,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.40/11.61 | ~ class_Int_Onumber__ring(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.40/11.61 | X2 = X3 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7153]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_803,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 11.40/11.61 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4703_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7147,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 11.40/11.61 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_803]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7148,plain,
% 11.40/11.61 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 11.40/11.61 | X2 = X3 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7147]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_800,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 11.40/11.61 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4704_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7141,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 11.40/11.61 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_800]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7142,plain,
% 11.40/11.61 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 11.40/11.61 | X1 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7141]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_798,plain,
% 11.40/11.61 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 11.40/11.61 | ~ c_Lambda_Obeta(X0,X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4705_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7137,plain,
% 11.40/11.61 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 11.40/11.61 | ~ c_Lambda_Obeta(X0,X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_798]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_796,plain,
% 11.40/11.61 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 11.40/11.61 | ~ c_Lambda_Obeta(X1,X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4706_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7133,plain,
% 11.40/11.61 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 11.40/11.61 | ~ c_Lambda_Obeta(X1,X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_796]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_790,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Opreorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4708_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7121,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Opreorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_790]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7122,plain,
% 11.40/11.61 ( ~ class_Orderings_Opreorder(X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7121]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_787,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4709_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7115,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_787]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7116,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7115]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_784,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Oorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4710_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7109,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Oorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_784]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7110,plain,
% 11.40/11.61 ( ~ class_Orderings_Oorder(X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7109]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_781,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | ~ c_lessequals(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Opreorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4711_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7103,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | ~ c_lessequals(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Opreorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_781]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7104,plain,
% 11.40/11.61 ( ~ class_Orderings_Opreorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7103]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_775,plain,
% 11.40/11.61 ( ~ c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4713_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7091,plain,
% 11.40/11.61 ( ~ c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_775]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7092,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7091]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_772,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 11.40/11.61 | ~ c_lessequals(X0,X0,X1)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4714_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7085,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 11.40/11.61 | ~ c_lessequals(X0,X0,X1)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_772]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7086,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X1,X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7085]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_766,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = X2
% 11.40/11.61 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4716_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7073,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = X2
% 11.40/11.61 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_766]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7074,plain,
% 11.40/11.61 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = X4 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7073]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_764,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4717_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7069,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_764]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_762,plain,
% 11.40/11.61 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4718_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7065,plain,
% 11.40/11.61 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_762]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_760,plain,
% 11.40/11.61 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = X0
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4719_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7061,plain,
% 11.40/11.61 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = X0
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_760]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7062,plain,
% 11.40/11.61 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = X0 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7061]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_757,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4720_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7055,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),c_HOL_Oone__class_Oone(X1)),X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_757]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7056,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Oone__class_Oone(X0)),X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7055]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_754,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 11.40/11.61 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4721_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7049,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 11.40/11.61 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_754]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7050,plain,
% 11.40/11.61 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 11.40/11.61 | X1 = X3 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7049]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_751,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.40/11.61 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4722_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7043,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.40/11.61 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_751]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7044,plain,
% 11.40/11.61 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.40/11.61 | X2 = X3 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7043]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_748,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.40/11.61 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4723_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7037,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 11.40/11.61 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_748]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7038,plain,
% 11.40/11.61 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 11.40/11.61 | X2 = X3 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7037]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_746,plain,
% 11.40/11.61 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4724_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7033,plain,
% 11.40/11.61 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_746]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7034,plain,
% 11.40/11.61 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7033]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_744,plain,
% 11.40/11.61 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 11.40/11.61 | ~ class_Divides_Osemiring__div(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4727_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7029,plain,
% 11.40/11.61 ( c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X0,X1,X2),X1,X2) = c_HOL_Ozero__class_Ozero(X2)
% 11.40/11.61 | ~ class_Divides_Osemiring__div(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_744]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7030,plain,
% 11.40/11.61 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.61 | c_Divides_Odiv__class_Odiv(c_Divides_Odiv__class_Omod(X1,X2,X0),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7029]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_742,plain,
% 11.40/11.61 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4728_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7025,plain,
% 11.40/11.61 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1),X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_742]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_739,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X0,X1) = X2
% 11.40/11.61 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4729_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7019,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2),X0,X1) = X2
% 11.40/11.61 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_739]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7020,plain,
% 11.40/11.61 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.61 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = X2
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7019]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_736,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X0,X1) = X2
% 11.40/11.61 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4730_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7013,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0),X0,X1) = X2
% 11.40/11.61 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_736]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7014,plain,
% 11.40/11.61 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.61 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = X1
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7013]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_734,plain,
% 11.40/11.61 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4731_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7009,plain,
% 11.40/11.61 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_734]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7010,plain,
% 11.40/11.61 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7009]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_731,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = X0
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4732_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7003,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = X0
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_731]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7004,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_7003]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_729,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = X0
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4733_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6999,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = X0
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_729]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_7000,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6999]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_727,plain,
% 11.40/11.61 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4734_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6995,plain,
% 11.40/11.61 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_727]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6996,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6995]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_725,plain,
% 11.40/11.61 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4735_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6991,plain,
% 11.40/11.61 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_725]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6992,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6991]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_723,plain,
% 11.40/11.61 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4736_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6987,plain,
% 11.40/11.61 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_723]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6988,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6987]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_721,plain,
% 11.40/11.61 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4737_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6983,plain,
% 11.40/11.61 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_721]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6984,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6983]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_719,plain,
% 11.40/11.61 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | ~ class_Divides_Osemiring__div(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4738_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6979,plain,
% 11.40/11.61 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | ~ class_Divides_Osemiring__div(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_719]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6980,plain,
% 11.40/11.61 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.61 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6979]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_717,plain,
% 11.40/11.61 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | ~ class_Divides_Osemiring__div(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4739_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6975,plain,
% 11.40/11.61 ( c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | ~ class_Divides_Osemiring__div(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_717]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6976,plain,
% 11.40/11.61 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.61 | c_Divides_Odiv__class_Omod(hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2),X2,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6975]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_714,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.61 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4740_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6969,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.61 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,X1)) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_714]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_712,plain,
% 11.40/11.61 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 11.40/11.61 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4741_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6965,plain,
% 11.40/11.61 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 11.40/11.61 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_712]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6966,plain,
% 11.40/11.61 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6965]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_709,plain,
% 11.40/11.61 ( c_Type_Otyping(X0,X1,X2)
% 11.40/11.61 | ~ c_Type_Otyping(X0,X3,X2)
% 11.40/11.61 | ~ c_Lambda_Obeta(X3,X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4742_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6959,plain,
% 11.40/11.61 ( c_Type_Otyping(X0,X1,X2)
% 11.40/11.61 | ~ c_Type_Otyping(X0,X3,X2)
% 11.40/11.61 | ~ c_Lambda_Obeta(X3,X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_709]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_704,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat)
% 11.40/11.61 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4748_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6949,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat)
% 11.40/11.61 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_704]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6950,plain,
% 11.40/11.61 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 11.40/11.61 | c_lessequals(X0,X1,tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6949]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_702,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4749_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6945,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_702]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6946,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6945]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_696,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat)
% 11.40/11.61 | X0 = c_Suc(X1)
% 11.40/11.61 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4752_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6933,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat)
% 11.40/11.61 | X0 = c_Suc(X1)
% 11.40/11.61 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_696]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6934,plain,
% 11.40/11.61 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 11.40/11.61 | c_lessequals(X0,X1,tc_nat)
% 11.40/11.61 | X0 = c_Suc(X1) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6933]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_684,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4756_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6909,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_684]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6910,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6909]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_681,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4757_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6903,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_681]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6904,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X2),X1)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X0 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6903]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_673,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | X0 = X1
% 11.40/11.61 | ~ c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4759_3) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6887,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | X0 = X1
% 11.40/11.61 | ~ c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_673]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6888,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.40/11.61 | X1 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6887]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_657,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | X0 = X1
% 11.40/11.61 | ~ c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ class_Orderings_Oorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4763_3) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6855,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | X0 = X1
% 11.40/11.61 | ~ c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ class_Orderings_Oorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_657]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6856,plain,
% 11.40/11.61 ( ~ class_Orderings_Oorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.40/11.61 | X1 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6855]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_649,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | ~ c_lessequals(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Oorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4765_3) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6839,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | ~ c_lessequals(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Oorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_649]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6840,plain,
% 11.40/11.61 ( ~ class_Orderings_Oorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.40/11.61 | X2 = X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6839]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_643,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,X2)
% 11.40/11.61 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4767_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6827,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,X2)
% 11.40/11.61 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_643]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6828,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_lessequals(X1,X2,X0)
% 11.40/11.61 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6827]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_640,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,X2)
% 11.40/11.61 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4768_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6821,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,X2)
% 11.40/11.61 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_640]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6822,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_lessequals(X1,X2,X0)
% 11.40/11.61 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6821]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_638,plain,
% 11.40/11.61 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 11.40/11.61 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4769_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6817,plain,
% 11.40/11.61 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 11.40/11.61 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_638]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_634,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4771_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6809,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_634]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_628,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | X1 = X0
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4773_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6797,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | X1 = X0
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_628]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6798,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | X1 = X0 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6797]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_625,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | X0 = X1
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4774_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6791,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | X0 = X1
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_625]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6792,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | X0 = X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6791]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_622,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X1
% 11.40/11.61 | ~ c_lessequals(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4775_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6785,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X1
% 11.40/11.61 | ~ c_lessequals(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_622]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6786,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6785]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_619,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X0
% 11.40/11.61 | ~ c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4776_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6779,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X0
% 11.40/11.61 | ~ c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_619]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6780,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6779]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_616,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 11.40/11.61 | ~ c_lessequals(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4777_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6773,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 11.40/11.61 | ~ c_lessequals(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_616]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6774,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6773]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_613,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 11.40/11.61 | ~ c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4778_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6767,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 11.40/11.61 | ~ c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_613]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6768,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | ~ c_lessequals(X1,X2,X0)
% 11.40/11.61 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6767]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_611,plain,
% 11.40/11.61 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4779_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6763,plain,
% 11.40/11.61 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_611]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6764,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6763]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_609,plain,
% 11.40/11.61 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4780_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6759,plain,
% 11.40/11.61 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_609]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6760,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6759]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_603,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | ~ class_Orderings_Opreorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4782_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6747,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | ~ class_Orderings_Opreorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_603]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6748,plain,
% 11.40/11.61 ( ~ class_Orderings_Opreorder(X0)
% 11.40/11.61 | c_lessequals(X1,X2,X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6747]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_600,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | ~ class_Orderings_Oorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4783_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6741,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,X2)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | ~ class_Orderings_Oorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_600]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6742,plain,
% 11.40/11.61 ( ~ class_Orderings_Oorder(X0)
% 11.40/11.61 | c_lessequals(X1,X2,X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6741]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_596,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4785_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6733,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_596]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6734,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 11.40/11.61 | X0 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6733]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_594,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4786_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6729,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_594]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6730,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 11.40/11.61 | X1 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6729]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_592,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4787_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6725,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_592]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6726,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6725]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_590,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4788_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6721,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_590]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6722,plain,
% 11.40/11.61 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6721]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_588,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4789_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6717,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_588]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_584,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4791_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6709,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_584]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6710,plain,
% 11.40/11.61 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6709]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_582,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4797_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6705,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_582]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6706,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6705]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_580,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4798_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6701,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_580]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_578,plain,
% 11.40/11.61 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4799_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6697,plain,
% 11.40/11.61 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_578]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_574,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.40/11.61 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4805_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6689,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.40/11.61 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_574]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6690,plain,
% 11.40/11.61 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6689]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_570,plain,
% 11.40/11.61 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4807_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6681,plain,
% 11.40/11.61 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_570]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_568,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat)
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4808_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6677,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat)
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_568]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_559,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4811_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6659,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_559]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6660,plain,
% 11.40/11.61 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | X0 = X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6659]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_557,plain,
% 11.40/11.61 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4812_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6655,plain,
% 11.40/11.61 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_557]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6656,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6655]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_555,plain,
% 11.40/11.61 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4813_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6651,plain,
% 11.40/11.61 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | ~ c_lessequals(X0,X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_555]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6652,plain,
% 11.40/11.61 ( ~ c_lessequals(X0,X1,tc_nat)
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6651]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_553,plain,
% 11.40/11.61 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4814_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6647,plain,
% 11.40/11.61 ( c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_553]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6648,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | c_Divides_Odiv__class_Omod(X0,X1,tc_nat) = X0 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6647]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_549,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4816_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6639,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_549]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_547,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | c_Nitpick_Onat__gcd(X0,c_Divides_Odiv__class_Omod(X1,X0,tc_nat)) = c_Nitpick_Onat__gcd(X1,X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4817_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6635,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | c_Nitpick_Onat__gcd(X0,c_Divides_Odiv__class_Omod(X1,X0,tc_nat)) = c_Nitpick_Onat__gcd(X1,X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_547]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6636,plain,
% 11.40/11.61 ( c_Nitpick_Onat__gcd(X0,c_Divides_Odiv__class_Omod(X1,X0,tc_nat)) = c_Nitpick_Onat__gcd(X1,X0)
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6635]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_544,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4818_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6629,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_544]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6630,plain,
% 11.40/11.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.61 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1)) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6629]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_541,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4819_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6623,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_541]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6624,plain,
% 11.40/11.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.61 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1)) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6623]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_538,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4820_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6617,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_538]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6618,plain,
% 11.40/11.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.61 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1)) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6617]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_535,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4821_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6611,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_535]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6612,plain,
% 11.40/11.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.61 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1)) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6611]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_532,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4822_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6605,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_532]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6606,plain,
% 11.40/11.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.61 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1)) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6605]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_529,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4823_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6599,plain,
% 11.40/11.61 ( hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1))
% 11.40/11.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_529]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6600,plain,
% 11.40/11.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 11.40/11.61 | hBOOL(hAPP(X0,v_sko__List__Xlexn__Xinduct__1(X0)))
% 11.40/11.61 | hBOOL(hAPP(X0,X1)) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6599]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_527,plain,
% 11.40/11.61 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 11.40/11.61 | ~ c_InductTermi_OIT(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4824_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6595,plain,
% 11.40/11.61 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 11.40/11.61 | ~ c_InductTermi_OIT(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_527]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_500,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | X1 = X2
% 11.40/11.61 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4833_0) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6541,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | X1 = X2
% 11.40/11.61 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_500]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6542,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.40/11.61 | X2 = X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6541]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_497,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | X0 = X1
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4833_3) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6535,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | X0 = X1
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_497]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6536,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 11.40/11.61 | X1 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6535]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_491,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4835_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6523,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_491]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6524,plain,
% 11.40/11.61 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 11.40/11.61 | X0 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6523]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_489,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4836_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6519,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_489]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6520,plain,
% 11.40/11.61 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 11.40/11.61 | X1 = X3 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6519]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_487,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4838_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6515,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_487]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6516,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Oone__class_Oone(X0)),c_Nat_Osemiring__1__class_Oof__nat(X1,X0)) = c_Nat_Osemiring__1__class_Oof__nat(c_Suc(X1),X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6515]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_484,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,X2)
% 11.40/11.61 | c_lessequals(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4839_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6509,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,X2)
% 11.40/11.61 | c_lessequals(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_484]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6510,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_lessequals(X1,X2,X0)
% 11.40/11.61 | c_lessequals(X2,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6509]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_475,plain,
% 11.40/11.61 ( c_lessequals(X0,X0,X1)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4842_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6491,plain,
% 11.40/11.61 ( c_lessequals(X0,X0,X1)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_475]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6492,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_lessequals(X1,X1,X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6491]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_472,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,X2)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4843_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6485,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,X2)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_472]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6486,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_lessequals(X1,X2,X0)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6485]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_470,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4844_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6481,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_470]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6482,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6481]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_468,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = c_Orderings_Oord__class_Omin(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4845_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6477,plain,
% 11.40/11.61 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = c_Orderings_Oord__class_Omin(X1,X0,X2)
% 11.40/11.61 | ~ class_Orderings_Olinorder(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_468]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6478,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.61 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6477]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_466,plain,
% 11.40/11.61 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4847_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6473,plain,
% 11.40/11.61 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 11.40/11.61 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_466]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6474,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 11.40/11.61 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6473]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_464,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4848_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6469,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_464]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6470,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6469]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_460,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4850_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6461,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_460]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6462,plain,
% 11.40/11.61 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6461]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_458,plain,
% 11.40/11.61 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4851_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6457,plain,
% 11.40/11.61 ( ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_458]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6458,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.40/11.61 | ~ c_lessequals(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6457]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_456,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4852_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6453,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_456]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6454,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(c_HOL_Oone__class_Oone(X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6453]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_452,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4854_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6445,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_452]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6446,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X2),X1) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6445]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_448,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 11.40/11.61 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4856_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6437,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 11.40/11.61 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_448]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6438,plain,
% 11.40/11.61 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6437]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_446,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4857_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6433,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_446]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6434,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6433]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_444,plain,
% 11.40/11.61 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4858_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6429,plain,
% 11.40/11.61 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_444]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6430,plain,
% 11.40/11.61 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6429]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_439,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | X1 = X0
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4861_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6419,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | X1 = X0
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_439]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6420,plain,
% 11.40/11.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 11.40/11.61 | X1 = X0 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6419]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_434,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.40/11.61 | ~ class_Int_Onumber__ring(X2)
% 11.40/11.61 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4862_3) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6409,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.40/11.61 | ~ class_Int_Onumber__ring(X2)
% 11.40/11.61 | ~ class_Ring__and__Field_Oidom(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_434]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6410,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.40/11.61 | ~ class_Int_Onumber__ring(X0)
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X1 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6409]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_432,plain,
% 11.40/11.61 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4863_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6405,plain,
% 11.40/11.61 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_432]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6406,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 11.40/11.61 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6405]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_430,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4864_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6401,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_430]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6402,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6401]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_428,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4865_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6397,plain,
% 11.40/11.61 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_428]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_427,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4866_0) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6395,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_427]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_424,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4866_3) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6389,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_424]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6390,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6389]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_419,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4868_0) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6379,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_419]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_416,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4868_3) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6373,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_416]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6374,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6373]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_412,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 11.40/11.61 | ~ class_Int_Onumber__ring(X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4870_3) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6365,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 11.40/11.61 | ~ class_Int_Onumber__ring(X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_412]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6366,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.40/11.61 | ~ class_Int_Onumber__ring(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 11.40/11.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6365]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_409,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.40/11.61 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4871_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6359,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.40/11.61 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_409]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6360,plain,
% 11.40/11.61 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X1 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6359]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_406,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.40/11.61 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4872_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6353,plain,
% 11.40/11.61 ( X0 = X1
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 11.40/11.61 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_406]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6354,plain,
% 11.40/11.61 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.40/11.61 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X1 = X2 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6353]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_397,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4874_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6335,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_397]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6336,plain,
% 11.40/11.61 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6335]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_394,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4875_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6329,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_394]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6330,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 11.40/11.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6329]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_390,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4877_0) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6321,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_390]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_388,plain,
% 11.40/11.61 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4877_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6317,plain,
% 11.40/11.61 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_388]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6318,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6317]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_379,plain,
% 11.40/11.61 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4881_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6299,plain,
% 11.40/11.61 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_379]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6300,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6299]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_376,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4882_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6293,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_376]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6294,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6293]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_374,plain,
% 11.40/11.61 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 11.40/11.61 | ~ c_InductTermi_OIT(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4883_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6289,plain,
% 11.40/11.61 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 11.40/11.61 | ~ c_InductTermi_OIT(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_374]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_370,plain,
% 11.40/11.61 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4885_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6281,plain,
% 11.40/11.61 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_370]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6282,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.40/11.61 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6281]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_368,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4888_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6277,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_368]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6278,plain,
% 11.40/11.61 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6277]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_366,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4889_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6273,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_366]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6274,plain,
% 11.40/11.61 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6273]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_364,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4890_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6269,plain,
% 11.40/11.61 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_364]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6270,plain,
% 11.40/11.61 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6269]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_362,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4891_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6265,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_362]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6266,plain,
% 11.40/11.61 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6265]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_360,plain,
% 11.40/11.61 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4893_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6261,plain,
% 11.40/11.61 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_360]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6262,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6261]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_358,plain,
% 11.40/11.61 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4894_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6257,plain,
% 11.40/11.61 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_358]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6258,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6257]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_354,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4897_0) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6249,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_354]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_352,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4897_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6245,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_352]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6246,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6245]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_350,plain,
% 11.40/11.61 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 11.40/11.61 | ~ c_Lambda_Obeta(X0,X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4899_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6241,plain,
% 11.40/11.61 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 11.40/11.61 | ~ c_Lambda_Obeta(X0,X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_350]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_347,plain,
% 11.40/11.61 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Suc(X1)) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | ~ class_Power_Opower(X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4900_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6235,plain,
% 11.40/11.61 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Suc(X1)) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | ~ class_Power_Opower(X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_347]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6236,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 11.40/11.61 | ~ class_Power_Opower(X0)
% 11.40/11.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_Suc(X1)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6235]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_345,plain,
% 11.40/11.61 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4903_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6231,plain,
% 11.40/11.61 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_345]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6232,plain,
% 11.40/11.61 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6231]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_341,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | ~ class_Power_Opower(X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4905_3) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6223,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X1),c_HOL_Ozero__class_Ozero(X1)),X0) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.61 | ~ class_Power_Opower(X1)
% 11.40/11.61 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_341]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6224,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 11.40/11.61 | ~ class_Power_Opower(X0)
% 11.40/11.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6223]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_338,plain,
% 11.40/11.61 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 11.40/11.61 | ~ class_Power_Opower(X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4906_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6217,plain,
% 11.40/11.61 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 11.40/11.61 | ~ class_Power_Opower(X0)
% 11.40/11.61 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_338]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6218,plain,
% 11.40/11.61 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 11.40/11.61 | ~ class_Power_Opower(X0)
% 11.40/11.61 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6217]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_337,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4907_0) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6215,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_337]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_335,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4907_2) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6211,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_335]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6212,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6211]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_333,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4910_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6207,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.61 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_333]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6208,plain,
% 11.40/11.61 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6207]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_331,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4916_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6203,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_331]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6204,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6203]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_329,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4917_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6199,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(copy,[status(esa)],[c_329]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6200,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6199]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_325,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 11.40/11.61 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4919_1) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6191,plain,
% 11.40/11.61 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 11.40/11.61 inference(copy,[status(esa)],[c_325]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_6192,plain,
% 11.40/11.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 11.40/11.61 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.61 inference(rewriting,[status(thm)],[c_6191]) ).
% 11.40/11.61
% 11.40/11.61 cnf(c_323,plain,
% 11.40/11.61 ( c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0)
% 11.40/11.62 | ~ class_Power_Opower(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4920_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6187,plain,
% 11.40/11.62 ( c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0)
% 11.40/11.62 | ~ class_Power_Opower(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_323]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6188,plain,
% 11.40/11.62 ( ~ class_Power_Opower(X0)
% 11.40/11.62 | c_Power_Opower_Opower(c_HOL_Oone__class_Oone(X0),c_HOL_Otimes__class_Otimes(X0),X0) = c_Power_Opower__class_Opower(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6187]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_319,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4922_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6179,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_319]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6180,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6179]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_317,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4923_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6175,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_317]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6176,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6175]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_315,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4924_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6171,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_315]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6172,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6171]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_313,plain,
% 11.40/11.62 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 11.40/11.62 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4925_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6167,plain,
% 11.40/11.62 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0)
% 11.40/11.62 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_313]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6168,plain,
% 11.40/11.62 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.40/11.62 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),c_HOL_Oone__class_Oone(X0)),X1) = c_HOL_Oone__class_Oone(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6167]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_311,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4926_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6163,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_311]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6164,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.40/11.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6163]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_309,plain,
% 11.40/11.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4927_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6159,plain,
% 11.40/11.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_309]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6160,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 11.40/11.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Oone__class_Oone(X0),X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6159]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_306,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.40/11.62 | ~ class_Int_Onumber__ring(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4928_2) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6153,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.40/11.62 | ~ class_Int_Onumber__ring(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Oidom(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_306]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6154,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.40/11.62 | ~ class_Int_Onumber__ring(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6153]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_303,plain,
% 11.40/11.62 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | ~ class_Int_Onumber__ring(X1)
% 11.40/11.62 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4929_2) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6147,plain,
% 11.40/11.62 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | ~ class_Int_Onumber__ring(X1)
% 11.40/11.62 | ~ class_Ring__and__Field_Oidom(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_303]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6148,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Oidom(X0)
% 11.40/11.62 | ~ class_Int_Onumber__ring(X0)
% 11.40/11.62 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6147]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_299,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4931_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6139,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_299]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6140,plain,
% 11.40/11.62 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6139]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_297,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4932_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6135,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_297]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6136,plain,
% 11.40/11.62 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6135]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_295,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4933_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6131,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_295]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6132,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6131]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_291,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4935_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6123,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_291]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6124,plain,
% 11.40/11.62 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6123]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_289,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4936_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6119,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Ocomm__monoid__mult(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_289]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6120,plain,
% 11.40/11.62 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6119]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_287,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4937_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6115,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_287]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6116,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),c_HOL_Oone__class_Oone(X0)),X1) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6115]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_285,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4938_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6111,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_285]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6112,plain,
% 11.40/11.62 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.62 | c_Divides_Odiv__class_Omod(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6111]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_283,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4939_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6107,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_283]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6108,plain,
% 11.40/11.62 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.62 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6107]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_281,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4940_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6103,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_281]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6104,plain,
% 11.40/11.62 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.62 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6103]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_279,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4941_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6099,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Oone__class_Oone(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_279]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6100,plain,
% 11.40/11.62 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.62 | c_Divides_Odiv__class_Omod(X1,c_HOL_Oone__class_Oone(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6099]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_276,plain,
% 11.40/11.62 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4944_2) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6093,plain,
% 11.40/11.62 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | c_Divides_Odiv__class_Odiv(X0,X0,X1) = c_HOL_Oone__class_Oone(X1)
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_276]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6094,plain,
% 11.40/11.62 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.62 | c_Divides_Odiv__class_Odiv(X1,X1,X0) = c_HOL_Oone__class_Oone(X0)
% 11.40/11.62 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6093]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_274,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4945_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6089,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_274]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6090,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6089]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_272,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4946_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6085,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_272]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6086,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6085]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_270,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4947_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6081,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_270]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6082,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6081]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_268,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4948_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6077,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Omod(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_268]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6078,plain,
% 11.40/11.62 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.62 | c_Divides_Odiv__class_Omod(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6077]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_266,plain,
% 11.40/11.62 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 11.40/11.62 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4949_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6073,plain,
% 11.40/11.62 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 11.40/11.62 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_266]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6074,plain,
% 11.40/11.62 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.40/11.62 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6073]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_264,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4950_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6069,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Oone__class_Oone(X1),X1) = X0
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_264]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6070,plain,
% 11.40/11.62 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.62 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Oone__class_Oone(X0),X0) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6069]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_262,plain,
% 11.40/11.62 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 11.40/11.62 | ~ class_Orderings_Obot(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4952_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6065,plain,
% 11.40/11.62 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 11.40/11.62 | ~ class_Orderings_Obot(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_262]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6066,plain,
% 11.40/11.62 ( ~ class_Orderings_Obot(X0)
% 11.40/11.62 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6065]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_260,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4954_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6061,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_260]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6062,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6061]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_258,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4955_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6057,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_258]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6058,plain,
% 11.40/11.62 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6057]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_256,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4956_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6053,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_256]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6054,plain,
% 11.40/11.62 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6053]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_254,plain,
% 11.40/11.62 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4957_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6049,plain,
% 11.40/11.62 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_254]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6050,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.40/11.62 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6049]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_252,plain,
% 11.40/11.62 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 11.40/11.62 | ~ class_Power_Opower(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4958_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6045,plain,
% 11.40/11.62 ( hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0)
% 11.40/11.62 | ~ class_Power_Opower(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_252]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6046,plain,
% 11.40/11.62 ( ~ class_Power_Opower(X0)
% 11.40/11.62 | hAPP(hAPP(c_Power_Opower__class_Opower(X0),X1),c_HOL_Ozero__class_Ozero(tc_nat)) = c_HOL_Oone__class_Oone(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6045]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_250,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4959_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6041,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 11.40/11.62 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_250]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6042,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6041]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_248,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4960_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6037,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Omonoid__mult(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_248]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6038,plain,
% 11.40/11.62 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),c_HOL_Oone__class_Oone(X0)) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6037]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_246,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4962_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6033,plain,
% 11.40/11.62 ( c_Divides_Odiv__class_Omod(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | ~ class_Divides_Osemiring__div(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_246]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6034,plain,
% 11.40/11.62 ( ~ class_Divides_Osemiring__div(X0)
% 11.40/11.62 | c_Divides_Odiv__class_Omod(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6033]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_244,plain,
% 11.40/11.62 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4963_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6029,plain,
% 11.40/11.62 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_244]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6030,plain,
% 11.40/11.62 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 11.40/11.62 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6029]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_240,plain,
% 11.40/11.62 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4965_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6021,plain,
% 11.40/11.62 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 11.40/11.62 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_240]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6022,plain,
% 11.40/11.62 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 11.40/11.62 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6021]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_238,plain,
% 11.40/11.62 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 11.40/11.62 | ~ class_Orderings_Olinorder(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4971_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6017,plain,
% 11.40/11.62 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 11.40/11.62 | ~ class_Orderings_Olinorder(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_238]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6018,plain,
% 11.40/11.62 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.62 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6017]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_236,plain,
% 11.40/11.62 ( c_Orderings_Oord__class_Omin(X0,X0,X1) = X0
% 11.40/11.62 | ~ class_Orderings_Olinorder(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4972_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6013,plain,
% 11.40/11.62 ( c_Orderings_Oord__class_Omin(X0,X0,X1) = X0
% 11.40/11.62 | ~ class_Orderings_Olinorder(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_236]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6014,plain,
% 11.40/11.62 ( ~ class_Orderings_Olinorder(X0)
% 11.40/11.62 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6013]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_234,plain,
% 11.40/11.62 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4975_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6009,plain,
% 11.40/11.62 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_234]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6010,plain,
% 11.40/11.62 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6009]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_232,plain,
% 11.40/11.62 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4976_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6005,plain,
% 11.40/11.62 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_232]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6006,plain,
% 11.40/11.62 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6005]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_230,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4978_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6001,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1
% 11.40/11.62 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_230]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6002,plain,
% 11.40/11.62 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 11.40/11.62 | hAPP(hAPP(c_HOL_Otimes__class_Otimes(X0),X1),X1) = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_6001]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_228,plain,
% 11.40/11.62 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4979_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5997,plain,
% 11.40/11.62 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 11.40/11.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_228]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5998,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 11.40/11.62 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_5997]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_225,plain,
% 11.40/11.62 ( X0 = X1
% 11.40/11.62 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 11.40/11.62 | ~ class_Nat_Osemiring__char__0(X2) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4996_2) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5991,plain,
% 11.40/11.62 ( X0 = X1
% 11.40/11.62 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 11.40/11.62 | ~ class_Nat_Osemiring__char__0(X2) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_225]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5992,plain,
% 11.40/11.62 ( ~ class_Nat_Osemiring__char__0(X0)
% 11.40/11.62 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 11.40/11.62 | X1 = X2 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_5991]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_223,plain,
% 11.40/11.62 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 11.40/11.62 | ~ c_Lambda_Obeta(X0,X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5004_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5987,plain,
% 11.40/11.62 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 11.40/11.62 | ~ c_Lambda_Obeta(X0,X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_223]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_221,plain,
% 11.40/11.62 ( X0 = X1 | c_Type_Otype_OFun(X0,X2) != c_Type_Otype_OFun(X1,X3) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5005_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5983,plain,
% 11.40/11.62 ( X0 = X1 | c_Type_Otype_OFun(X0,X2) != c_Type_Otype_OFun(X1,X3) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_221]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5984,plain,
% 11.40/11.62 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X0 = X2 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_5983]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_219,plain,
% 11.40/11.62 ( X0 = X1 | c_Type_Otype_OFun(X2,X0) != c_Type_Otype_OFun(X3,X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5006_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5979,plain,
% 11.40/11.62 ( X0 = X1 | c_Type_Otype_OFun(X2,X0) != c_Type_Otype_OFun(X3,X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_219]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5980,plain,
% 11.40/11.62 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X1 = X3 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_5979]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_217,plain,
% 11.40/11.62 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5007_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5975,plain,
% 11.40/11.62 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_217]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_215,plain,
% 11.40/11.62 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5008_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5971,plain,
% 11.40/11.62 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_215]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_213,plain,
% 11.40/11.62 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 11.40/11.62 | ~ class_Orderings_Opreorder(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5009_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5967,plain,
% 11.40/11.62 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 11.40/11.62 | ~ class_Orderings_Opreorder(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_213]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_211,plain,
% 11.40/11.62 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5010_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5963,plain,
% 11.40/11.62 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_211]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_209,plain,
% 11.40/11.62 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5012_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5959,plain,
% 11.40/11.62 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_209]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5960,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 11.40/11.62 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_5959]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_205,plain,
% 11.40/11.62 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5015_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5951,plain,
% 11.40/11.62 ( c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0)
% 11.40/11.62 | ~ class_Ring__and__Field_Ozero__neq__one(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_205]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5952,plain,
% 11.40/11.62 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 11.40/11.62 | c_HOL_Oone__class_Oone(X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_5951]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_203,plain,
% 11.40/11.62 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5018_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5947,plain,
% 11.40/11.62 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_203]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_201,plain,
% 11.40/11.62 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5019_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5943,plain,
% 11.40/11.62 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_201]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5944,plain,
% 11.40/11.62 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_5943]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_199,plain,
% 11.40/11.62 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5020_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5939,plain,
% 11.40/11.62 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_199]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5940,plain,
% 11.40/11.62 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_5939]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_195,plain,
% 11.40/11.62 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5022_1) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5931,plain,
% 11.40/11.62 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_195]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5932,plain,
% 11.40/11.62 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 11.40/11.62 inference(rewriting,[status(thm)],[c_5931]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_194,plain,
% 11.40/11.62 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4130_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5929,plain,
% 11.40/11.62 ( c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X0),X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_194]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_193,plain,
% 11.40/11.62 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4150_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5927,plain,
% 11.40/11.62 ( hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1) != c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X2),X3,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_193]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_192,plain,
% 11.40/11.62 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4663_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5925,plain,
% 11.40/11.62 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_192]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_191,plain,
% 11.40/11.62 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4664_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5923,plain,
% 11.40/11.62 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_191]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_190,plain,
% 11.40/11.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4886_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5921,plain,
% 11.40/11.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_190]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_189,plain,
% 11.40/11.62 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4887_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5919,plain,
% 11.40/11.62 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_189]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_187,plain,
% 11.40/11.62 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4902_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5915,plain,
% 11.40/11.62 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_187]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_185,plain,
% 11.40/11.62 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4909_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5911,plain,
% 11.40/11.62 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_185]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_184,plain,
% 11.40/11.62 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4967_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5909,plain,
% 11.40/11.62 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_184]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_183,plain,
% 11.40/11.62 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4968_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5907,plain,
% 11.40/11.62 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_183]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_182,plain,
% 11.40/11.62 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4969_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5905,plain,
% 11.40/11.62 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_182]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_181,plain,
% 11.40/11.62 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4970_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5903,plain,
% 11.40/11.62 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_181]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_180,plain,
% 11.40/11.62 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5011_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5901,plain,
% 11.40/11.62 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_180]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_179,plain,
% 11.40/11.62 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5025_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5899,plain,
% 11.40/11.62 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_179]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_178,plain,
% 11.40/11.62 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5026_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5897,plain,
% 11.40/11.62 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_178]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_174,plain,
% 11.40/11.62 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5031_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5889,plain,
% 11.40/11.62 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_174]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_172,plain,
% 11.40/11.62 ( c_Suc(X0) != X0 ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5035_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5885,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_172]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_156,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4225_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5867,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X2)),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1)) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_156]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_151,plain,
% 11.40/11.62 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4280_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5861,plain,
% 11.40/11.62 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_151]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_135,plain,
% 11.40/11.62 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0)),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4519_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5844,plain,
% 11.40/11.62 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0)),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_135]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_133,plain,
% 11.40/11.62 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4555_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5841,plain,
% 11.40/11.62 ( c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat) = c_HOL_Ominus__class_Ominus(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_133]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_125,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4585_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5832,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_125]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_117,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4634_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5822,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_117]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_116,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4635_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5820,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_116]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_115,plain,
% 11.40/11.62 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4665_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5818,plain,
% 11.40/11.62 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OAbs(X0)),X1),c_Lambda_Osubst(X0,X1,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_115]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_108,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4744_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5810,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_108]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_107,plain,
% 11.40/11.62 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4745_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5808,plain,
% 11.40/11.62 ( c_lessequals(c_Divides_Odiv__class_Omod(X0,X1,tc_nat),X0,tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_107]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_106,plain,
% 11.40/11.62 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4746_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5806,plain,
% 11.40/11.62 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_106]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_105,plain,
% 11.40/11.62 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4747_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5804,plain,
% 11.40/11.62 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_105]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_98,plain,
% 11.40/11.62 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4800_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5796,plain,
% 11.40/11.62 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X0),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_98]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_96,plain,
% 11.40/11.62 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4802_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5792,plain,
% 11.40/11.62 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_96]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_95,plain,
% 11.40/11.62 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4803_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5790,plain,
% 11.40/11.62 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_95]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_91,plain,
% 11.40/11.62 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4846_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5785,plain,
% 11.40/11.62 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_91]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_89,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4869_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5782,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X0) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat)),X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_89]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_88,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4878_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5780,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),c_HOL_Ozero__class_Ozero(tc_nat)) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_88]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_87,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4892_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5778,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Otimes__class_Otimes(tc_nat),X1),X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_87]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_86,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4895_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5776,plain,
% 11.40/11.62 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_86]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_84,plain,
% 11.40/11.62 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4904_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5773,plain,
% 11.40/11.62 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_84]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_76,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4951_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5764,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_76]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_73,plain,
% 11.40/11.62 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4966_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5760,plain,
% 11.40/11.62 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_73]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_71,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4974_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5756,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_71]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_69,plain,
% 11.40/11.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4980_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5753,plain,
% 11.40/11.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_69]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_67,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4982_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5749,plain,
% 11.40/11.62 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_67]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_57,plain,
% 11.40/11.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4992_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5738,plain,
% 11.40/11.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_57]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_55,plain,
% 11.40/11.62 ( c_fequal(X0,X0,X1) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4994_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5735,plain,
% 11.40/11.62 ( c_fequal(X0,X0,X1) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_55]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_51,plain,
% 11.40/11.62 ( c_lessequals(X0,X0,tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_4999_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5729,plain,
% 11.40/11.62 ( c_lessequals(X0,X0,tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_51]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_49,plain,
% 11.40/11.62 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5001_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5726,plain,
% 11.40/11.62 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_49]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_40,plain,
% 11.40/11.62 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5032_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5716,plain,
% 11.40/11.62 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_40]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_36,plain,
% 11.40/11.62 ( class_Power_Opower(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5038_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5711,plain,
% 11.40/11.62 ( class_Power_Opower(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_36]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_35,plain,
% 11.40/11.62 ( class_Orderings_Obot(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5039_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5709,plain,
% 11.40/11.62 ( class_Orderings_Obot(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_35]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_34,plain,
% 11.40/11.62 ( class_Orderings_Oorder(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5040_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5707,plain,
% 11.40/11.62 ( class_Orderings_Oorder(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_34]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_33,plain,
% 11.40/11.62 ( class_Orderings_Olinorder(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5041_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5705,plain,
% 11.40/11.62 ( class_Orderings_Olinorder(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_33]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_32,plain,
% 11.40/11.62 ( class_Orderings_Opreorder(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5042_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5703,plain,
% 11.40/11.62 ( class_Orderings_Opreorder(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_32]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_31,plain,
% 11.40/11.62 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5043_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5701,plain,
% 11.40/11.62 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_31]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_30,plain,
% 11.40/11.62 ( class_Divides_Osemiring__div(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5044_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5699,plain,
% 11.40/11.62 ( class_Divides_Osemiring__div(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_30]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_29,plain,
% 11.40/11.62 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5045_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5697,plain,
% 11.40/11.62 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_29]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_28,plain,
% 11.40/11.62 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5046_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5695,plain,
% 11.40/11.62 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_28]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_27,plain,
% 11.40/11.62 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5047_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5693,plain,
% 11.40/11.62 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_27]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_26,plain,
% 11.40/11.62 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5048_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5691,plain,
% 11.40/11.62 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_26]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_25,plain,
% 11.40/11.62 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5049_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5689,plain,
% 11.40/11.62 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_25]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_24,plain,
% 11.40/11.62 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5050_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5687,plain,
% 11.40/11.62 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_24]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_23,plain,
% 11.40/11.62 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5051_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5685,plain,
% 11.40/11.62 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_23]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_22,plain,
% 11.40/11.62 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5052_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5683,plain,
% 11.40/11.62 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_22]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_21,plain,
% 11.40/11.62 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5053_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5681,plain,
% 11.40/11.62 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_21]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_20,plain,
% 11.40/11.62 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5054_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5679,plain,
% 11.40/11.62 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_20]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_19,plain,
% 11.40/11.62 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5055_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5677,plain,
% 11.40/11.62 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_19]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_18,plain,
% 11.40/11.62 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5056_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5675,plain,
% 11.40/11.62 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_18]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_17,plain,
% 11.40/11.62 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5057_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5673,plain,
% 11.40/11.62 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_17]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_16,plain,
% 11.40/11.62 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5058_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5671,plain,
% 11.40/11.62 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_16]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_15,plain,
% 11.40/11.62 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5059_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5669,plain,
% 11.40/11.62 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_15]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_14,plain,
% 11.40/11.62 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5060_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5667,plain,
% 11.40/11.62 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_14]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_13,plain,
% 11.40/11.62 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5061_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5665,plain,
% 11.40/11.62 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_13]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_12,plain,
% 11.40/11.62 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5062_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5663,plain,
% 11.40/11.62 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_12]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_11,plain,
% 11.40/11.62 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5063_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5661,plain,
% 11.40/11.62 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_11]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_10,plain,
% 11.40/11.62 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5064_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5659,plain,
% 11.40/11.62 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_10]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_9,plain,
% 11.40/11.62 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5065_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5657,plain,
% 11.40/11.62 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_9]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_8,plain,
% 11.40/11.62 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5066_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5655,plain,
% 11.40/11.62 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_8]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_7,plain,
% 11.40/11.62 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5067_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5653,plain,
% 11.40/11.62 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_7]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_6,plain,
% 11.40/11.62 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5068_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5651,plain,
% 11.40/11.62 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_6]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5,plain,
% 11.40/11.62 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5069_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5649,plain,
% 11.40/11.62 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_5]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_4,plain,
% 11.40/11.62 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5070_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5647,plain,
% 11.40/11.62 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_4]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_3,plain,
% 11.40/11.62 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5071_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5645,plain,
% 11.40/11.62 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_3]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_2,plain,
% 11.40/11.62 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5072_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5643,plain,
% 11.40/11.62 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_2]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_1,plain,
% 11.40/11.62 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5073_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5641,plain,
% 11.40/11.62 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_1]) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_0,plain,
% 11.40/11.62 ( c_InductTermi_OIT(v_u____) ),
% 11.40/11.62 file('/export/starexec/sandbox2/tmp/iprover_modulo_7a73ad.p', c_0_5074_0) ).
% 11.40/11.62
% 11.40/11.62 cnf(c_5639,plain,
% 11.40/11.62 ( c_InductTermi_OIT(v_u____) ),
% 11.40/11.62 inference(copy,[status(esa)],[c_0]) ).
% 11.40/11.62
% 11.40/11.62
% 11.40/11.62
% 11.40/11.62 % ------ Statistics
% 11.40/11.62
% 11.40/11.62 % ------ General
% 11.40/11.62
% 11.40/11.62 % num_of_input_clauses: 2473
% 11.40/11.62 % num_of_input_neg_conjectures: 1
% 11.40/11.62 % num_of_splits: 0
% 11.40/11.62 % num_of_split_atoms: 0
% 11.40/11.62 % num_of_sem_filtered_clauses: 0
% 11.40/11.62 % num_of_subtypes: 0
% 11.40/11.62 % monotx_restored_types: 0
% 11.40/11.62 % sat_num_of_epr_types: 0
% 11.40/11.62 % sat_num_of_non_cyclic_types: 0
% 11.40/11.62 % sat_guarded_non_collapsed_types: 0
% 11.40/11.62 % is_epr: 0
% 11.40/11.62 % is_horn: 0
% 11.40/11.62 % has_eq: 1
% 11.40/11.62 % num_pure_diseq_elim: 0
% 11.40/11.62 % simp_replaced_by: 0
% 11.40/11.62 % res_preprocessed: 2
% 11.40/11.62 % prep_upred: 0
% 11.40/11.62 % prep_unflattend: 0
% 11.40/11.62 % pred_elim_cands: 0
% 11.40/11.62 % pred_elim: 0
% 11.40/11.62 % pred_elim_cl: 0
% 11.40/11.62 % pred_elim_cycles: 0
% 11.40/11.62 % forced_gc_time: 0
% 11.40/11.62 % gc_basic_clause_elim: 0
% 11.40/11.62 % parsing_time: 0.129
% 11.40/11.62 % sem_filter_time: 0.
% 11.40/11.62 % pred_elim_time: 0.
% 11.40/11.62 % out_proof_time: 0.
% 11.40/11.62 % monotx_time: 0.
% 11.40/11.62 % subtype_inf_time: 0.
% 11.40/11.62 % unif_index_cands_time: 0.
% 11.40/11.62 % unif_index_add_time: 0.001
% 11.40/11.62 % total_time: 4.716
% 11.40/11.62 % num_of_symbols: 145
% 11.40/11.62 % num_of_terms: 4876
% 11.40/11.62
% 11.40/11.62 % ------ Propositional Solver
% 11.40/11.62
% 11.40/11.62 % prop_solver_calls: 1
% 11.40/11.62 % prop_fast_solver_calls: 3
% 11.40/11.62 % prop_num_of_clauses: 2150
% 11.40/11.62 % prop_preprocess_simplified: 7646
% 11.40/11.62 % prop_fo_subsumed: 0
% 11.40/11.62 % prop_solver_time: 0.
% 11.40/11.62 % prop_fast_solver_time: 0.
% 11.40/11.62 % prop_unsat_core_time: 0.
% 11.40/11.62
% 11.40/11.62 % ------ QBF
% 11.40/11.62
% 11.40/11.62 % qbf_q_res: 0
% 11.40/11.62 % qbf_num_tautologies: 0
% 11.40/11.62 % qbf_prep_cycles: 0
% 11.40/11.62
% 11.40/11.62 % ------ BMC1
% 11.40/11.62
% 11.40/11.62 % bmc1_current_bound: -1
% 11.40/11.62 % bmc1_last_solved_bound: -1
% 11.40/11.62 % bmc1_unsat_core_size: -1
% 11.40/11.62 % bmc1_unsat_core_parents_size: -1
% 11.40/11.62 % bmc1_merge_next_fun: 0
% 11.40/11.62 % bmc1_unsat_core_clauses_time: 0.
% 11.40/11.62
% 11.40/11.62 % ------ Instantiation
% 11.40/11.62
% 11.40/11.62 % inst_num_of_clauses: 2182
% 11.40/11.62 % inst_num_in_passive: 0
% 11.40/11.62 % inst_num_in_active: 0
% 11.40/11.62 % inst_num_in_unprocessed: 2473
% 11.40/11.62 % inst_num_of_loops: 0
% 11.40/11.62 % inst_num_of_learning_restarts: 0
% 11.40/11.62 % inst_num_moves_active_passive: 0
% 11.40/11.62 % inst_lit_activity: 0
% 11.40/11.62 % inst_lit_activity_moves: 0
% 11.40/11.62 % inst_num_tautologies: 0
% 11.40/11.62 % inst_num_prop_implied: 0
% 11.40/11.62 % inst_num_existing_simplified: 0
% 11.40/11.62 % inst_num_eq_res_simplified: 0
% 11.40/11.62 % inst_num_child_elim: 0
% 11.40/11.62 % inst_num_of_dismatching_blockings: 0
% 11.40/11.62 % inst_num_of_non_proper_insts: 0
% 11.40/11.62 % inst_num_of_duplicates: 0
% 11.40/11.62 % inst_inst_num_from_inst_to_res: 0
% 11.40/11.62 % inst_dismatching_checking_time: 0.
% 11.40/11.62
% 11.40/11.62 % ------ Resolution
% 11.40/11.62
% 11.40/11.62 % res_num_of_clauses: 2376
% 11.40/11.62 % res_num_in_passive: 0
% 11.40/11.62 % res_num_in_active: 891
% 11.40/11.62 % res_num_of_loops: 3
% 11.40/11.62 % res_forward_subset_subsumed: 1484
% 11.40/11.62 % res_backward_subset_subsumed: 0
% 11.40/11.62 % res_forward_subsumed: 1
% 11.40/11.62 % res_backward_subsumed: 0
% 11.40/11.62 % res_forward_subsumption_resolution: 0
% 11.40/11.62 % res_backward_subsumption_resolution: 0
% 11.40/11.62 % res_clause_to_clause_subsumption: 1
% 11.40/11.62 % res_orphan_elimination: 0
% 11.40/11.62 % res_tautology_del: 0
% 11.40/11.62 % res_num_eq_res_simplified: 0
% 11.40/11.62 % res_num_sel_changes: 0
% 11.40/11.62 % res_moves_from_active_to_pass: 0
% 11.40/11.62
% 11.40/11.62 % Status Unknown
% 11.40/11.63 % Last status :
% 11.40/11.63 % SZS status Unknown
%------------------------------------------------------------------------------