TSTP Solution File: LCL850-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL850-1 : TPTP v8.1.0. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n029.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 11:40:46 EDT 2022
% Result : Unknown 8.47s 9.47s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : LCL850-1 : TPTP v8.1.0. Released v4.1.0.
% 0.11/0.13 % Command : iprover_modulo %s %d
% 0.14/0.35 % Computer : n029.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 3 14:40:26 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.41/0.58 % Orienting using strategy Equiv(ClausalAll)
% 0.41/0.58 % Orientation found
% 0.41/0.58 % 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_efd6df.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_53233d | grep -v "SZS"
% 0.44/0.60
% 0.44/0.60 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.44/0.60
% 0.44/0.60 %
% 0.44/0.60 % ------ iProver source info
% 0.44/0.60
% 0.44/0.60 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.44/0.60 % git: non_committed_changes: true
% 0.44/0.60 % git: last_make_outside_of_git: true
% 0.44/0.60
% 0.44/0.60 %
% 0.44/0.60 % ------ Input Options
% 0.44/0.60
% 0.44/0.60 % --out_options all
% 0.44/0.60 % --tptp_safe_out true
% 0.44/0.60 % --problem_path ""
% 0.44/0.60 % --include_path ""
% 0.44/0.60 % --clausifier .//eprover
% 0.44/0.60 % --clausifier_options --tstp-format
% 0.44/0.60 % --stdin false
% 0.44/0.60 % --dbg_backtrace false
% 0.44/0.60 % --dbg_dump_prop_clauses false
% 0.44/0.60 % --dbg_dump_prop_clauses_file -
% 0.44/0.60 % --dbg_out_stat false
% 0.44/0.60
% 0.44/0.60 % ------ General Options
% 0.44/0.60
% 0.44/0.60 % --fof false
% 0.44/0.60 % --time_out_real 150.
% 0.44/0.60 % --time_out_prep_mult 0.2
% 0.44/0.60 % --time_out_virtual -1.
% 0.44/0.60 % --schedule none
% 0.44/0.60 % --ground_splitting input
% 0.44/0.60 % --splitting_nvd 16
% 0.44/0.60 % --non_eq_to_eq false
% 0.44/0.60 % --prep_gs_sim true
% 0.44/0.60 % --prep_unflatten false
% 0.44/0.60 % --prep_res_sim true
% 0.44/0.60 % --prep_upred true
% 0.44/0.60 % --res_sim_input true
% 0.44/0.60 % --clause_weak_htbl true
% 0.44/0.60 % --gc_record_bc_elim false
% 0.44/0.60 % --symbol_type_check false
% 0.44/0.60 % --clausify_out false
% 0.44/0.60 % --large_theory_mode false
% 0.44/0.60 % --prep_sem_filter none
% 0.44/0.60 % --prep_sem_filter_out false
% 0.44/0.60 % --preprocessed_out false
% 0.44/0.60 % --sub_typing false
% 0.44/0.60 % --brand_transform false
% 0.44/0.60 % --pure_diseq_elim true
% 0.44/0.60 % --min_unsat_core false
% 0.44/0.60 % --pred_elim true
% 0.44/0.60 % --add_important_lit false
% 0.44/0.60 % --soft_assumptions false
% 0.44/0.60 % --reset_solvers false
% 0.44/0.60 % --bc_imp_inh []
% 0.44/0.60 % --conj_cone_tolerance 1.5
% 0.44/0.60 % --prolific_symb_bound 500
% 0.44/0.60 % --lt_threshold 2000
% 0.44/0.60
% 0.44/0.60 % ------ SAT Options
% 0.44/0.60
% 0.44/0.60 % --sat_mode false
% 0.44/0.60 % --sat_fm_restart_options ""
% 0.44/0.60 % --sat_gr_def false
% 0.44/0.60 % --sat_epr_types true
% 0.44/0.60 % --sat_non_cyclic_types false
% 0.44/0.60 % --sat_finite_models false
% 0.44/0.60 % --sat_fm_lemmas false
% 0.44/0.60 % --sat_fm_prep false
% 0.44/0.60 % --sat_fm_uc_incr true
% 0.44/0.60 % --sat_out_model small
% 0.44/0.60 % --sat_out_clauses false
% 0.44/0.60
% 0.44/0.60 % ------ QBF Options
% 0.44/0.60
% 0.44/0.60 % --qbf_mode false
% 0.44/0.60 % --qbf_elim_univ true
% 0.44/0.60 % --qbf_sk_in true
% 0.44/0.60 % --qbf_pred_elim true
% 0.44/0.60 % --qbf_split 32
% 0.44/0.60
% 0.44/0.60 % ------ BMC1 Options
% 0.44/0.60
% 0.44/0.60 % --bmc1_incremental false
% 0.44/0.60 % --bmc1_axioms reachable_all
% 0.44/0.60 % --bmc1_min_bound 0
% 0.44/0.60 % --bmc1_max_bound -1
% 0.44/0.60 % --bmc1_max_bound_default -1
% 0.44/0.60 % --bmc1_symbol_reachability true
% 0.44/0.60 % --bmc1_property_lemmas false
% 0.44/0.60 % --bmc1_k_induction false
% 0.44/0.60 % --bmc1_non_equiv_states false
% 0.44/0.60 % --bmc1_deadlock false
% 0.44/0.60 % --bmc1_ucm false
% 0.44/0.60 % --bmc1_add_unsat_core none
% 0.44/0.60 % --bmc1_unsat_core_children false
% 0.44/0.60 % --bmc1_unsat_core_extrapolate_axioms false
% 0.44/0.60 % --bmc1_out_stat full
% 0.44/0.60 % --bmc1_ground_init false
% 0.44/0.60 % --bmc1_pre_inst_next_state false
% 0.44/0.60 % --bmc1_pre_inst_state false
% 0.44/0.60 % --bmc1_pre_inst_reach_state false
% 0.44/0.60 % --bmc1_out_unsat_core false
% 0.44/0.60 % --bmc1_aig_witness_out false
% 0.44/0.60 % --bmc1_verbose false
% 0.44/0.60 % --bmc1_dump_clauses_tptp false
% 4.54/5.73 % --bmc1_dump_unsat_core_tptp false
% 4.54/5.73 % --bmc1_dump_file -
% 4.54/5.73 % --bmc1_ucm_expand_uc_limit 128
% 4.54/5.73 % --bmc1_ucm_n_expand_iterations 6
% 4.54/5.73 % --bmc1_ucm_extend_mode 1
% 4.54/5.73 % --bmc1_ucm_init_mode 2
% 4.54/5.73 % --bmc1_ucm_cone_mode none
% 4.54/5.73 % --bmc1_ucm_reduced_relation_type 0
% 4.54/5.73 % --bmc1_ucm_relax_model 4
% 4.54/5.73 % --bmc1_ucm_full_tr_after_sat true
% 4.54/5.73 % --bmc1_ucm_expand_neg_assumptions false
% 4.54/5.73 % --bmc1_ucm_layered_model none
% 4.54/5.73 % --bmc1_ucm_max_lemma_size 10
% 4.54/5.73
% 4.54/5.73 % ------ AIG Options
% 4.54/5.73
% 4.54/5.73 % --aig_mode false
% 4.54/5.73
% 4.54/5.73 % ------ Instantiation Options
% 4.54/5.73
% 4.54/5.73 % --instantiation_flag true
% 4.54/5.73 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 4.54/5.73 % --inst_solver_per_active 750
% 4.54/5.73 % --inst_solver_calls_frac 0.5
% 4.54/5.73 % --inst_passive_queue_type priority_queues
% 4.54/5.73 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.54/5.73 % --inst_passive_queues_freq [25;2]
% 4.54/5.73 % --inst_dismatching true
% 4.54/5.73 % --inst_eager_unprocessed_to_passive true
% 4.54/5.73 % --inst_prop_sim_given true
% 4.54/5.73 % --inst_prop_sim_new false
% 4.54/5.73 % --inst_orphan_elimination true
% 4.54/5.73 % --inst_learning_loop_flag true
% 4.54/5.73 % --inst_learning_start 3000
% 4.54/5.73 % --inst_learning_factor 2
% 4.54/5.73 % --inst_start_prop_sim_after_learn 3
% 4.54/5.73 % --inst_sel_renew solver
% 4.54/5.73 % --inst_lit_activity_flag true
% 4.54/5.73 % --inst_out_proof true
% 4.54/5.73
% 4.54/5.73 % ------ Resolution Options
% 4.54/5.73
% 4.54/5.73 % --resolution_flag true
% 4.54/5.73 % --res_lit_sel kbo_max
% 4.54/5.73 % --res_to_prop_solver none
% 4.54/5.73 % --res_prop_simpl_new false
% 4.54/5.73 % --res_prop_simpl_given false
% 4.54/5.73 % --res_passive_queue_type priority_queues
% 4.54/5.73 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.54/5.73 % --res_passive_queues_freq [15;5]
% 4.54/5.73 % --res_forward_subs full
% 4.54/5.73 % --res_backward_subs full
% 4.54/5.73 % --res_forward_subs_resolution true
% 4.54/5.73 % --res_backward_subs_resolution true
% 4.54/5.73 % --res_orphan_elimination false
% 4.54/5.73 % --res_time_limit 1000.
% 4.54/5.73 % --res_out_proof true
% 4.54/5.73 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_efd6df.s
% 4.54/5.73 % --modulo true
% 4.54/5.73
% 4.54/5.73 % ------ Combination Options
% 4.54/5.73
% 4.54/5.73 % --comb_res_mult 1000
% 4.54/5.73 % --comb_inst_mult 300
% 4.54/5.73 % ------
% 4.54/5.73
% 4.54/5.73 % ------ Parsing...% successful
% 4.54/5.73
% 4.54/5.73 % ------ 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 %
% 4.54/5.73
% 4.54/5.73 % ------ Proving...
% 4.54/5.73 % ------ Problem Properties
% 4.54/5.73
% 4.54/5.73 %
% 4.54/5.73 % EPR false
% 4.54/5.73 % Horn false
% 4.54/5.73 % Has equality true
% 4.54/5.73
% 4.54/5.73 % % ------ Input Options Time Limit: Unbounded
% 4.54/5.73
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% 4.54/5.73 % % ------ Current options:
% 4.54/5.73
% 4.54/5.73 % ------ Input Options
% 4.54/5.73
% 4.54/5.73 % --out_options all
% 4.54/5.73 % --tptp_safe_out true
% 4.54/5.73 % --problem_path ""
% 4.54/5.73 % --include_path ""
% 4.54/5.73 % --clausifier .//eprover
% 4.54/5.73 % --clausifier_options --tstp-format
% 4.54/5.73 % --stdin false
% 4.54/5.73 % --dbg_backtrace false
% 4.54/5.73 % --dbg_dump_prop_clauses false
% 4.54/5.73 % --dbg_dump_prop_clauses_file -
% 4.54/5.73 % --dbg_out_stat false
% 4.54/5.73
% 4.54/5.73 % ------ General Options
% 4.54/5.73
% 4.54/5.73 % --fof false
% 4.54/5.73 % --time_out_real 150.
% 4.54/5.73 % --time_out_prep_mult 0.2
% 4.54/5.73 % --time_out_virtual -1.
% 4.54/5.73 % --schedule none
% 4.54/5.73 % --ground_splitting input
% 4.54/5.73 % --splitting_nvd 16
% 4.54/5.73 % --non_eq_to_eq false
% 4.54/5.73 % --prep_gs_sim true
% 4.54/5.73 % --prep_unflatten false
% 4.54/5.73 % --prep_res_sim true
% 4.54/5.73 % --prep_upred true
% 4.54/5.73 % --res_sim_input true
% 4.54/5.73 % --clause_weak_htbl true
% 4.54/5.73 % --gc_record_bc_elim false
% 4.54/5.73 % --symbol_type_check false
% 4.54/5.73 % --clausify_out false
% 4.54/5.73 % --large_theory_mode false
% 4.54/5.73 % --prep_sem_filter none
% 4.54/5.73 % --prep_sem_filter_out false
% 4.54/5.73 % --preprocessed_out false
% 4.54/5.73 % --sub_typing false
% 4.54/5.73 % --brand_transform false
% 4.54/5.73 % --pure_diseq_elim true
% 4.54/5.73 % --min_unsat_core false
% 4.54/5.73 % --pred_elim true
% 4.54/5.73 % --add_important_lit false
% 4.54/5.73 % --soft_assumptions false
% 4.54/5.73 % --reset_solvers false
% 4.54/5.73 % --bc_imp_inh []
% 4.54/5.73 % --conj_cone_tolerance 1.5
% 4.54/5.73 % --prolific_symb_bound 500
% 4.54/5.73 % --lt_threshold 2000
% 4.54/5.73
% 4.54/5.73 % ------ SAT Options
% 4.54/5.73
% 4.54/5.73 % --sat_mode false
% 4.54/5.73 % --sat_fm_restart_options ""
% 4.54/5.73 % --sat_gr_def false
% 4.54/5.73 % --sat_epr_types true
% 4.54/5.73 % --sat_non_cyclic_types false
% 4.54/5.73 % --sat_finite_models false
% 4.54/5.73 % --sat_fm_lemmas false
% 4.54/5.73 % --sat_fm_prep false
% 4.54/5.73 % --sat_fm_uc_incr true
% 4.54/5.73 % --sat_out_model small
% 4.54/5.73 % --sat_out_clauses false
% 4.54/5.73
% 4.54/5.73 % ------ QBF Options
% 4.54/5.73
% 4.54/5.73 % --qbf_mode false
% 4.54/5.73 % --qbf_elim_univ true
% 4.54/5.73 % --qbf_sk_in true
% 4.54/5.73 % --qbf_pred_elim true
% 4.54/5.73 % --qbf_split 32
% 4.54/5.73
% 4.54/5.73 % ------ BMC1 Options
% 4.54/5.73
% 4.54/5.73 % --bmc1_incremental false
% 4.54/5.73 % --bmc1_axioms reachable_all
% 4.54/5.73 % --bmc1_min_bound 0
% 4.54/5.73 % --bmc1_max_bound -1
% 4.54/5.73 % --bmc1_max_bound_default -1
% 4.54/5.73 % --bmc1_symbol_reachability true
% 4.54/5.73 % --bmc1_property_lemmas false
% 4.54/5.73 % --bmc1_k_induction false
% 4.54/5.73 % --bmc1_non_equiv_states false
% 4.54/5.73 % --bmc1_deadlock false
% 4.54/5.73 % --bmc1_ucm false
% 4.54/5.73 % --bmc1_add_unsat_core none
% 4.54/5.73 % --bmc1_unsat_core_children false
% 4.54/5.73 % --bmc1_unsat_core_extrapolate_axioms false
% 4.54/5.73 % --bmc1_out_stat full
% 4.54/5.73 % --bmc1_ground_init false
% 4.54/5.73 % --bmc1_pre_inst_next_state false
% 4.54/5.73 % --bmc1_pre_inst_state false
% 4.54/5.73 % --bmc1_pre_inst_reach_state false
% 4.54/5.73 % --bmc1_out_unsat_core false
% 4.54/5.73 % --bmc1_aig_witness_out false
% 4.54/5.73 % --bmc1_verbose false
% 4.54/5.73 % --bmc1_dump_clauses_tptp false
% 4.54/5.73 % --bmc1_dump_unsat_core_tptp false
% 4.54/5.73 % --bmc1_dump_file -
% 4.54/5.73 % --bmc1_ucm_expand_uc_limit 128
% 4.54/5.73 % --bmc1_ucm_n_expand_iterations 6
% 4.54/5.73 % --bmc1_ucm_extend_mode 1
% 4.54/5.73 % --bmc1_ucm_init_mode 2
% 4.54/5.73 % --bmc1_ucm_cone_mode none
% 4.54/5.73 % --bmc1_ucm_reduced_relation_type 0
% 4.54/5.73 % --bmc1_ucm_relax_model 4
% 4.54/5.73 % --bmc1_ucm_full_tr_after_sat true
% 4.54/5.73 % --bmc1_ucm_expand_neg_assumptions false
% 4.54/5.73 % --bmc1_ucm_layered_model none
% 4.54/5.73 % --bmc1_ucm_max_lemma_size 10
% 4.54/5.73
% 4.54/5.73 % ------ AIG Options
% 4.54/5.73
% 4.54/5.73 % --aig_mode false
% 4.54/5.73
% 4.54/5.73 % ------ Instantiation Options
% 4.54/5.73
% 4.54/5.73 % --instantiation_flag true
% 4.54/5.73 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 4.54/5.73 % --inst_solver_per_active 750
% 4.54/5.73 % --inst_solver_calls_frac 0.5
% 4.54/5.73 % --inst_passive_queue_type priority_queues
% 4.54/5.73 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 4.54/5.73 % --inst_passive_queues_freq [25;2]
% 4.54/5.73 % --inst_dismatching true
% 4.54/5.73 % --inst_eager_unprocessed_to_passive true
% 4.54/5.73 % --inst_prop_sim_given true
% 4.54/5.73 % --inst_prop_sim_new false
% 4.54/5.73 % --inst_orphan_elimination true
% 4.54/5.73 % --inst_learning_loop_flag true
% 4.54/5.73 % --inst_learning_start 3000
% 4.54/5.73 % --inst_learning_factor 2
% 4.54/5.73 % --inst_start_prop_sim_after_learn 3
% 4.54/5.73 % --inst_sel_renew solver
% 4.54/5.73 % --inst_lit_activity_flag true
% 4.54/5.73 % --inst_out_proof true
% 4.54/5.73
% 4.54/5.73 % ------ Resolution Options
% 4.54/5.73
% 4.54/5.73 % --resolution_flag true
% 4.54/5.73 % --res_lit_sel kbo_max
% 4.54/5.73 % --res_to_prop_solver none
% 4.54/5.73 % --res_prop_simpl_new false
% 4.54/5.73 % --res_prop_simpl_given false
% 4.54/5.73 % --res_passive_queue_type priority_queues
% 4.54/5.73 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 4.54/5.73 % --res_passive_queues_freq [15;5]
% 4.54/5.73 % --res_forward_subs full
% 4.54/5.73 % --res_backward_subs full
% 4.54/5.73 % --res_forward_subs_resolution true
% 4.54/5.73 % --res_backward_subs_resolution true
% 4.54/5.73 % --res_orphan_elimination false
% 4.54/5.73 % --res_time_limit 1000.
% 4.54/5.73 % --res_out_proof true
% 4.54/5.73 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_efd6df.s
% 4.54/5.73 % --modulo true
% 4.54/5.73
% 4.54/5.73 % ------ Combination Options
% 4.54/5.73
% 4.54/5.73 % --comb_res_mult 1000
% 4.54/5.73 % --comb_inst_mult 300
% 4.54/5.73 % ------
% 4.54/5.73
% 4.54/5.73
% 4.54/5.73
% 4.54/5.73 % ------ Proving...
% 4.54/5.73 % warning: shown sat in sat incomplete mode
% 4.54/5.73 %
% 4.54/5.73
% 4.54/5.73
% 4.54/5.73
% 4.54/5.73
% 4.54/5.73 cnf(c_1923,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.73 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.73 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3547_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8670,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.73 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.73 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1923]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8671,plain,
% 4.54/5.73 ( ~ class_Int_Onumber__ring(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.73 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8670]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1920,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.73 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.73 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3546_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8664,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.73 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.73 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1920]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8665,plain,
% 4.54/5.73 ( ~ class_Int_Onumber__ring(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.73 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8664]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1906,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 4.54/5.73 | ~ class_Power_Opower(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.73 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3540_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8636,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 4.54/5.73 | ~ class_Power_Opower(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.73 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1906]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8637,plain,
% 4.54/5.73 ( ~ class_Power_Opower(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.73 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8636]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1903,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 4.54/5.73 | ~ class_Power_Opower(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3539_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8630,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 4.54/5.73 | ~ class_Power_Opower(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1903]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8631,plain,
% 4.54/5.73 ( ~ class_Power_Opower(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8630]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1896,plain,
% 4.54/5.73 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X2)
% 4.54/5.73 | hBOOL(hAPP(X0,X3))
% 4.54/5.73 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3536_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8616,plain,
% 4.54/5.73 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X2)
% 4.54/5.73 | hBOOL(hAPP(X0,X3))
% 4.54/5.73 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1896]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8617,plain,
% 4.54/5.73 ( hBOOL(hAPP(X0,X1))
% 4.54/5.73 | hBOOL(hAPP(X0,X2))
% 4.54/5.73 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X2,X3) ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8616]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1893,plain,
% 4.54/5.73 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X2)
% 4.54/5.73 | hBOOL(hAPP(X0,X3))
% 4.54/5.73 | hBOOL(hAPP(X0,X2)) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3535_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8610,plain,
% 4.54/5.73 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X2)
% 4.54/5.73 | hBOOL(hAPP(X0,X3))
% 4.54/5.73 | hBOOL(hAPP(X0,X2)) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1893]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8611,plain,
% 4.54/5.73 ( hBOOL(hAPP(X0,X1))
% 4.54/5.73 | hBOOL(hAPP(X0,X2))
% 4.54/5.73 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X3,X2) ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8610]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1852,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.73 | ~ class_Power_Opower(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.73 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3520_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8528,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.73 | ~ class_Power_Opower(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.73 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1852]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8529,plain,
% 4.54/5.73 ( ~ class_Power_Opower(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.73 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8528]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1827,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.73 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.73 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 4.54/5.73 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3511_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8478,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.73 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.73 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 4.54/5.73 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1827]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8479,plain,
% 4.54/5.73 ( ~ class_Int_Onumber__ring(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.73 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 4.54/5.73 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8478]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1814,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.73 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.73 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.73 | X1 = X2 ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3506_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8452,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.73 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.73 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.73 | X1 = X2 ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1814]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8453,plain,
% 4.54/5.73 ( ~ class_Int_Onumber__ring(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.73 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.73 | X1 = X2 ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8452]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1810,plain,
% 4.54/5.73 ( X0 = X1
% 4.54/5.73 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3504_2) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8444,plain,
% 4.54/5.73 ( X0 = X1
% 4.54/5.73 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1810]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8445,plain,
% 4.54/5.73 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 4.54/5.73 | X0 = X1 ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8444]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1760,plain,
% 4.54/5.73 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 4.54/5.73 | c_lessequals(X1,X1,X0) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3485_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8344,plain,
% 4.54/5.73 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 4.54/5.73 | c_lessequals(X1,X1,X0) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1760]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8345,plain,
% 4.54/5.73 ( c_HOL_Oord__class_Oless(X0,X0,X1)
% 4.54/5.73 | c_lessequals(X0,X0,X1)
% 4.54/5.73 | ~ class_Orderings_Olinorder(X1) ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8344]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1738,plain,
% 4.54/5.73 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.73 | X1 = X2
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3478_1) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8300,plain,
% 4.54/5.73 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.73 | X1 = X2
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1738]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8301,plain,
% 4.54/5.73 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.54/5.73 | ~ class_Orderings_Olinorder(X2)
% 4.54/5.73 | X0 = X1 ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8300]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1737,plain,
% 4.54/5.73 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.73 | X1 = X2
% 4.54/5.73 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3478_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8298,plain,
% 4.54/5.73 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.73 | X1 = X2
% 4.54/5.73 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1737]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8299,plain,
% 4.54/5.73 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.54/5.73 | ~ class_Orderings_Olinorder(X2)
% 4.54/5.73 | X1 = X0 ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8298]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1735,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.54/5.73 | X1 = X2
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3477_2) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8294,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.54/5.73 | X1 = X2
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1735]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8295,plain,
% 4.54/5.73 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.54/5.73 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 4.54/5.73 | X0 = X1 ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8294]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1733,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.54/5.73 | X2 = X1 ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3477_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8290,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.54/5.73 | X2 = X1 ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1733]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8291,plain,
% 4.54/5.73 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.54/5.73 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 4.54/5.73 | X1 = X0 ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8290]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1730,plain,
% 4.54/5.73 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 4.54/5.73 | X0 = X2
% 4.54/5.73 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3476_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8284,plain,
% 4.54/5.73 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 4.54/5.73 | X0 = X2
% 4.54/5.73 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1730]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8285,plain,
% 4.54/5.73 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.73 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 4.54/5.73 | X1 = X0 ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8284]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1725,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.73 | ~ class_Power_Opower(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3475_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8274,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.73 | ~ class_Power_Opower(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1725]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8275,plain,
% 4.54/5.73 ( ~ class_Power_Opower(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8274]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1719,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.73 | ~ class_Power_Opower(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.73 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3474_0) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8262,plain,
% 4.54/5.73 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.73 | ~ class_Power_Opower(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.73 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 inference(copy,[status(esa)],[c_1719]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_8263,plain,
% 4.54/5.73 ( ~ class_Power_Opower(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.73 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 4.54/5.73 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.73 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.73 inference(rewriting,[status(thm)],[c_8262]) ).
% 4.54/5.73
% 4.54/5.73 cnf(c_1689,plain,
% 4.54/5.73 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.73 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.74 | X0 = X1 ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3463_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8202,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.74 | X0 = X1 ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1689]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8203,plain,
% 4.54/5.74 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.74 | ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.74 | X0 = X1 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_8202]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1650,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | c_lessequals(X1,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3444_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8124,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | c_lessequals(X1,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1650]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8125,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_8124]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1647,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | c_lessequals(X1,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3443_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8118,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | c_lessequals(X1,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1647]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8119,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Oorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_8118]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1640,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 4.54/5.74 | c_Suc(X0) = X1 ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3440_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8104,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 4.54/5.74 | c_Suc(X0) = X1 ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1640]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8105,plain,
% 4.54/5.74 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.74 | c_Suc(X0) = X1 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_8104]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1628,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3436_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8080,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1628]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8081,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X2)
% 4.54/5.74 | c_Orderings_Oord__class_Omin(X1,X0,X2) = X0 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_8080]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1625,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3435_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8074,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1625]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8075,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X2)
% 4.54/5.74 | c_Orderings_Oord__class_Omin(X0,X1,X2) = X0 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_8074]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1622,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3434_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8068,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1622]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8069,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X2)
% 4.54/5.74 | c_Orderings_Oord__class_Omax(X1,X0,X2) = X1 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_8068]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1619,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3433_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8062,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1619]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8063,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X2)
% 4.54/5.74 | c_Orderings_Oord__class_Omax(X0,X1,X2) = X1 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_8062]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1610,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1
% 4.54/5.74 | c_lessequals(X1,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3429_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8044,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1
% 4.54/5.74 | c_lessequals(X1,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1610]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8045,plain,
% 4.54/5.74 ( c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X2)
% 4.54/5.74 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_8044]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1607,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2
% 4.54/5.74 | c_lessequals(X1,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3428_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8038,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2
% 4.54/5.74 | c_lessequals(X1,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1607]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8039,plain,
% 4.54/5.74 ( c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X2)
% 4.54/5.74 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_8038]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1596,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | X1 = X2
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3425_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8016,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | X1 = X2
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1596]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_8017,plain,
% 4.54/5.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X2)
% 4.54/5.74 | X0 = X1 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_8016]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1580,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | X1 = X2
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3421_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7984,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | X1 = X2
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1580]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7985,plain,
% 4.54/5.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Oorder(X2)
% 4.54/5.74 | X0 = X1 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7984]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1572,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | X2 = X1 ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3419_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7968,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | X2 = X1 ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1572]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7969,plain,
% 4.54/5.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Oorder(X2)
% 4.54/5.74 | X1 = X0 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7968]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1566,plain,
% 4.54/5.74 ( ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 4.54/5.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3417_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7956,plain,
% 4.54/5.74 ( ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 4.54/5.74 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1566]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7957,plain,
% 4.54/5.74 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 4.54/5.74 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7956]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1559,plain,
% 4.54/5.74 ( ~ hBOOL(hAPP(X0,X1))
% 4.54/5.74 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 4.54/5.74 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3414_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7942,plain,
% 4.54/5.74 ( ~ hBOOL(hAPP(X0,X1))
% 4.54/5.74 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 4.54/5.74 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1559]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7943,plain,
% 4.54/5.74 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | ~ hBOOL(hAPP(X0,X1))
% 4.54/5.74 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7942]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1556,plain,
% 4.54/5.74 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.74 | ~ c_Type_Otyping(X2,X0,X3)
% 4.54/5.74 | c_Type_Otyping(X2,X1,X3) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3413_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7936,plain,
% 4.54/5.74 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.74 | ~ c_Type_Otyping(X2,X0,X3)
% 4.54/5.74 | c_Type_Otyping(X2,X1,X3) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1556]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7937,plain,
% 4.54/5.74 ( ~ c_Type_Otyping(X0,X1,X2)
% 4.54/5.74 | c_Type_Otyping(X0,X3,X2)
% 4.54/5.74 | ~ c_Lambda_Obeta(X1,X3) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7936]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1538,plain,
% 4.54/5.74 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3404_2) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7900,plain,
% 4.54/5.74 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1538]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7901,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7900]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1507,plain,
% 4.54/5.74 ( X0 = X1
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3393_2) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7838,plain,
% 4.54/5.74 ( X0 = X1
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1507]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7839,plain,
% 4.54/5.74 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.74 | X0 = X1 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7838]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1463,plain,
% 4.54/5.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.74 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 4.54/5.74 | X2 = X3 ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3378_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7750,plain,
% 4.54/5.74 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.74 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 4.54/5.74 | X2 = X3 ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1463]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7751,plain,
% 4.54/5.74 ( ~ class_Int_Onumber__ring(X0)
% 4.54/5.74 | ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 4.54/5.74 | X2 = X3 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7750]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1447,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | X1 = X2
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X1,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3373_2) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7718,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | X1 = X2
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X1,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1447]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7719,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X1,X0,X2)
% 4.54/5.74 | ~ class_Orderings_Oorder(X2)
% 4.54/5.74 | X0 = X1 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7718]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1445,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X1,X0)
% 4.54/5.74 | X2 = X1 ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3373_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7714,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X1,X0)
% 4.54/5.74 | X2 = X1 ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1445]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7715,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X1,X0,X2)
% 4.54/5.74 | ~ class_Orderings_Oorder(X2)
% 4.54/5.74 | X1 = X0 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7714]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1442,plain,
% 4.54/5.74 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3372_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7708,plain,
% 4.54/5.74 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1442]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7709,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 4.54/5.74 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7708]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1438,plain,
% 4.54/5.74 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 4.54/5.74 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 4.54/5.74 | X2 = X1
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3370_2) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7700,plain,
% 4.54/5.74 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 4.54/5.74 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 4.54/5.74 | X2 = X1
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1438]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7701,plain,
% 4.54/5.74 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 4.54/5.74 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 4.54/5.74 | X2 = X1 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7700]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1410,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X1,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3361_2) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7644,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X1,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1410]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7645,plain,
% 4.54/5.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | c_lessequals(X1,X0,X2)
% 4.54/5.74 | ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7644]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1408,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | c_lessequals(X2,X1,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3361_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7640,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | c_lessequals(X2,X1,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1408]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7641,plain,
% 4.54/5.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | c_lessequals(X1,X0,X2)
% 4.54/5.74 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7640]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1401,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 4.54/5.74 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | hBOOL(hAPP(X1,X0))
% 4.54/5.74 | hBOOL(hAPP(X1,X2)) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3358_1) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7626,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 4.54/5.74 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | hBOOL(hAPP(X1,X0))
% 4.54/5.74 | hBOOL(hAPP(X1,X2)) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1401]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7627,plain,
% 4.54/5.74 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | hBOOL(hAPP(X0,X1))
% 4.54/5.74 | hBOOL(hAPP(X0,X2))
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7626]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1400,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 4.54/5.74 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | hBOOL(hAPP(X1,X2))
% 4.54/5.74 | hBOOL(hAPP(X1,X0)) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3358_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7624,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 4.54/5.74 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | hBOOL(hAPP(X1,X2))
% 4.54/5.74 | hBOOL(hAPP(X1,X0)) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1400]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7625,plain,
% 4.54/5.74 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | hBOOL(hAPP(X0,X1))
% 4.54/5.74 | hBOOL(hAPP(X0,X2))
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7624]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1386,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3352_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7596,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1386]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7597,plain,
% 4.54/5.74 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7596]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1367,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.74 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3343_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7558,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.74 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1367]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7559,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 4.54/5.74 | c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7558]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1364,plain,
% 4.54/5.74 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3342_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7552,plain,
% 4.54/5.74 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1364]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7553,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.74 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7552]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1361,plain,
% 4.54/5.74 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.74 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 4.54/5.74 | c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3341_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7546,plain,
% 4.54/5.74 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.74 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 4.54/5.74 | c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1361]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7547,plain,
% 4.54/5.74 ( ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 4.54/5.74 | c_lessequals(X0,X2,tc_nat)
% 4.54/5.74 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7546]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1343,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3333_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7510,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1343]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7511,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.74 | ~ c_lessequals(X1,X3,X2)
% 4.54/5.74 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7510]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1341,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3332_2) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7506,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1341]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7507,plain,
% 4.54/5.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.74 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7506]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1339,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X3,X1,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3332_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7502,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X3,X1,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1339]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7503,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X3,X0,X2)
% 4.54/5.74 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7502]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1336,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_lessequals(X3,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X3,X1,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3331_1) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7496,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_lessequals(X3,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X3,X1,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1336]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7497,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | c_lessequals(X3,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X3,X0,X2)
% 4.54/5.74 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7496]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1335,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X3,X1,X0)
% 4.54/5.74 | c_lessequals(X3,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3331_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7494,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X3,X1,X0)
% 4.54/5.74 | c_lessequals(X3,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1335]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7495,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X3,X0,X2)
% 4.54/5.74 | c_lessequals(X3,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7494]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1333,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X3,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3330_2) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7490,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X3,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1333]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7491,plain,
% 4.54/5.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.74 | ~ c_lessequals(X3,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Oorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7490]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1331,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3330_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7486,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1331]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7487,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.74 | ~ c_lessequals(X1,X3,X2)
% 4.54/5.74 | ~ class_Orderings_Oorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7486]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1327,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3329_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7478,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1327]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7479,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X3,X0,X2)
% 4.54/5.74 | ~ class_Orderings_Oorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7478]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1324,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_lessequals(X1,X3,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3328_1) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7472,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | c_lessequals(X1,X3,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1324]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7473,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | c_lessequals(X0,X3,X2)
% 4.54/5.74 | ~ c_lessequals(X1,X3,X2)
% 4.54/5.74 | ~ class_Orderings_Oorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7472]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1323,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.74 | c_lessequals(X1,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3328_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7470,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.74 | c_lessequals(X1,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1323]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7471,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X1,X3,X2)
% 4.54/5.74 | c_lessequals(X0,X3,X2)
% 4.54/5.74 | ~ class_Orderings_Oorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7470]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1320,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3327_1) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7464,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1320]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7465,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.74 | ~ class_Orderings_Oorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7464]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1319,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3327_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7462,plain,
% 4.54/5.74 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1319]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7463,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.74 | ~ class_Orderings_Oorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7462]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1316,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3326_1) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7456,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1316]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7457,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.54/5.74 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7456]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1315,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3326_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7454,plain,
% 4.54/5.74 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1315]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7455,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.74 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7454]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1244,plain,
% 4.54/5.74 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | ~ hBOOL(hAPP(X0,X1))
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat)
% 4.54/5.74 | ~ hBOOL(hAPP(X0,X2)) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3298_3) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7312,plain,
% 4.54/5.74 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | ~ hBOOL(hAPP(X0,X1))
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat)
% 4.54/5.74 | ~ hBOOL(hAPP(X0,X2)) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1244]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7313,plain,
% 4.54/5.74 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | ~ hBOOL(hAPP(X0,X1))
% 4.54/5.74 | ~ hBOOL(hAPP(X0,X2))
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7312]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1241,plain,
% 4.54/5.74 ( ~ hBOOL(hAPP(X0,X1))
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat)
% 4.54/5.74 | ~ hBOOL(hAPP(X0,X2))
% 4.54/5.74 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3298_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7306,plain,
% 4.54/5.74 ( ~ hBOOL(hAPP(X0,X1))
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat)
% 4.54/5.74 | ~ hBOOL(hAPP(X0,X2))
% 4.54/5.74 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1241]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7307,plain,
% 4.54/5.74 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.74 | ~ hBOOL(hAPP(X0,X1))
% 4.54/5.74 | ~ hBOOL(hAPP(X0,X2))
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7306]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1238,plain,
% 4.54/5.74 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.74 | X1 = X2 ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3297_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7300,plain,
% 4.54/5.74 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.74 | X1 = X2 ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1238]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7301,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.74 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 4.54/5.74 | X1 = X2 ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7300]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1196,plain,
% 4.54/5.74 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3281_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7216,plain,
% 4.54/5.74 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1196]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7217,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7216]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1192,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.74 | 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) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3280_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7208,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.74 | 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) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1192]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7209,plain,
% 4.54/5.74 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.74 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | 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) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7208]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1189,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3279_2) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7202,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1189]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7203,plain,
% 4.54/5.74 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.74 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7202]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1187,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3279_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7198,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1187]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7199,plain,
% 4.54/5.74 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.74 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7198]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1184,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3278_2) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7192,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1184]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7193,plain,
% 4.54/5.74 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.74 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7192]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1182,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3278_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7188,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.74 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1182]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7189,plain,
% 4.54/5.74 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.74 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.74 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.74 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.74 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7188]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1167,plain,
% 4.54/5.74 ( ~ class_Ring__and__Field_Oring__1(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.74 | 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) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3271_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7158,plain,
% 4.54/5.74 ( ~ class_Ring__and__Field_Oring__1(X0)
% 4.54/5.74 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.74 | 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) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1167]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7159,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.74 | ~ class_Ring__and__Field_Oring__1(X2)
% 4.54/5.74 | 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) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7158]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1164,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3270_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7152,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1164]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7153,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),tc_nat)
% 4.54/5.74 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7152]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1149,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 4.54/5.74 | c_lessequals(X1,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3264_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7122,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 4.54/5.74 | c_lessequals(X1,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1149]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7123,plain,
% 4.54/5.74 ( ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 4.54/5.74 | c_lessequals(X0,X3,X2)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7122]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1146,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 4.54/5.74 | c_lessequals(X2,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3263_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7116,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 4.54/5.74 | c_lessequals(X2,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1146]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7117,plain,
% 4.54/5.74 ( ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 4.54/5.74 | c_lessequals(X1,X3,X2)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7116]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1143,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3262_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7110,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1143]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7111,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,X2,X3)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7110]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1140,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3261_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7104,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1140]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7105,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,X1,X3)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7104]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1137,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3260_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7098,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1137]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7099,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7098]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1134,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3259_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7092,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1134]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7093,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7092]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1125,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 4.54/5.74 | c_lessequals(X1,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3256_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7074,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 4.54/5.74 | c_lessequals(X1,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1125]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7075,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 4.54/5.74 | c_lessequals(X0,X1,X3)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7074]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1122,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 4.54/5.74 | c_lessequals(X1,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3255_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7068,plain,
% 4.54/5.74 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.74 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 4.54/5.74 | c_lessequals(X1,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1122]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7069,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 4.54/5.74 | c_lessequals(X0,X2,X3)
% 4.54/5.74 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7068]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1105,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3247_1) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7034,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1105]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7035,plain,
% 4.54/5.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 4.54/5.74 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7034]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1104,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3247_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7032,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1104]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7033,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 4.54/5.74 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7032]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1101,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3246_1) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7026,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1101]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7027,plain,
% 4.54/5.74 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 4.54/5.74 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7026]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1100,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3246_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7024,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1100]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7025,plain,
% 4.54/5.74 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.74 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 4.54/5.74 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7024]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1097,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | c_lessequals(X2,X1,X0)
% 4.54/5.74 | ~ c_lessequals(X4,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3245_1) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7018,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | c_lessequals(X2,X1,X0)
% 4.54/5.74 | ~ c_lessequals(X4,X3,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1097]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7019,plain,
% 4.54/5.74 ( c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X3,X4,X2)
% 4.54/5.74 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7018]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1096,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | ~ c_lessequals(X4,X3,X0)
% 4.54/5.74 | c_lessequals(X2,X1,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3245_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7016,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | ~ c_lessequals(X4,X3,X0)
% 4.54/5.74 | c_lessequals(X2,X1,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1096]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7017,plain,
% 4.54/5.74 ( ~ c_lessequals(X0,X1,X2)
% 4.54/5.74 | c_lessequals(X3,X4,X2)
% 4.54/5.74 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7016]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1093,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | c_lessequals(X4,X3,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X1,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3244_1) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7010,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | c_lessequals(X4,X3,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X1,X0) ),
% 4.54/5.74 inference(copy,[status(esa)],[c_1093]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7011,plain,
% 4.54/5.74 ( c_lessequals(X0,X1,X2)
% 4.54/5.74 | ~ c_lessequals(X3,X4,X2)
% 4.54/5.74 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 4.54/5.74 inference(rewriting,[status(thm)],[c_7010]) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_1092,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.74 | ~ c_lessequals(X2,X1,X0)
% 4.54/5.74 | c_lessequals(X4,X3,X0) ),
% 4.54/5.74 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3244_0) ).
% 4.54/5.74
% 4.54/5.74 cnf(c_7008,plain,
% 4.54/5.74 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.74 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 4.54/5.75 | ~ c_lessequals(X2,X1,X0)
% 4.54/5.75 | c_lessequals(X4,X3,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1092]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_7009,plain,
% 4.54/5.75 ( ~ c_lessequals(X0,X1,X2)
% 4.54/5.75 | c_lessequals(X3,X4,X2)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 4.54/5.75 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_7008]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_1087,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3242_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6998,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1087]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6999,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6998]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_1084,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3241_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6992,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.75 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1084]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6993,plain,
% 4.54/5.75 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6992]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_1081,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3240_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6986,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1081]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6987,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6986]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_1078,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3239_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6980,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1078]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6981,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6980]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_1075,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3238_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6974,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1075]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6975,plain,
% 4.54/5.75 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6974]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_1072,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3237_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6968,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1072]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6969,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6968]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_1069,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(X1,X2,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3236_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6962,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(X1,X2,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1069]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6963,plain,
% 4.54/5.75 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.75 | c_lessequals(X0,X1,X2)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6962]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_1038,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3220_2) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6900,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1038]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6901,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6900]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_1028,plain,
% 4.54/5.75 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 4.54/5.75 | X0 = X2
% 4.54/5.75 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.75 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3217_2) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6880,plain,
% 4.54/5.75 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 4.54/5.75 | X0 = X2
% 4.54/5.75 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.75 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1028]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6881,plain,
% 4.54/5.75 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.75 | ~ c_lessequals(X0,X2,tc_nat)
% 4.54/5.75 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 4.54/5.75 | X1 = X2 ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6880]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_1026,plain,
% 4.54/5.75 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 4.54/5.75 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.75 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.75 | X0 = X2 ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3217_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6876,plain,
% 4.54/5.75 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 4.54/5.75 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.75 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.75 | X0 = X2 ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1026]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6877,plain,
% 4.54/5.75 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.75 | ~ c_lessequals(X0,X2,tc_nat)
% 4.54/5.75 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 4.54/5.75 | X2 = X1 ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6876]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_1023,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3216_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6870,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1023]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6871,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6870]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_1004,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.75 | ~ c_lessequals(X3,X2,X0)
% 4.54/5.75 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3210_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6832,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.75 | ~ c_lessequals(X3,X2,X0)
% 4.54/5.75 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_1004]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6833,plain,
% 4.54/5.75 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 4.54/5.75 | ~ c_lessequals(X1,X3,X2)
% 4.54/5.75 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.75 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6832]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_992,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.75 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.75 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3207_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6808,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.75 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.75 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_992]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6809,plain,
% 4.54/5.75 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 4.54/5.75 | ~ c_lessequals(X0,X2,X3)
% 4.54/5.75 | ~ c_lessequals(X0,X1,X3)
% 4.54/5.75 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6808]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_988,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3206_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6800,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_988]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6801,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 4.54/5.75 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6800]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_984,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3205_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6792,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_984]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6793,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.75 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6792]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_963,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3196_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6750,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_963]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6751,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.75 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6750]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_934,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3187_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6692,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_934]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6693,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1)
% 4.54/5.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X1) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6692]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_929,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.75 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.75 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3186_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6682,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.75 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.75 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_929]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6683,plain,
% 4.54/5.75 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 4.54/5.75 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6682]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_924,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.75 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.75 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3185_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6672,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.75 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.75 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_924]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6673,plain,
% 4.54/5.75 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 4.54/5.75 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6672]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_919,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.75 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3184_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6662,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.75 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_919]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6663,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 4.54/5.75 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.75 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6662]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_915,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3183_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6654,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_915]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6655,plain,
% 4.54/5.75 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6654]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_907,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3181_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6638,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_907]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6639,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6638]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_903,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3180_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6630,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_903]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6631,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6630]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_895,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3178_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6614,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_895]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6615,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6614]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_891,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3177_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6606,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_891]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6607,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6606]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_887,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3176_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6598,plain,
% 4.54/5.75 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_887]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6599,plain,
% 4.54/5.75 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6598]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_886,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3175_2) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6596,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_886]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6597,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6596]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_883,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3174_2) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6590,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_883]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6591,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6590]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_877,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3173_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6578,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_877]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6579,plain,
% 4.54/5.75 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6578]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_869,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3171_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6562,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_869]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6563,plain,
% 4.54/5.75 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6562]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_865,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3170_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6554,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_865]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6555,plain,
% 4.54/5.75 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6554]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_861,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3169_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6546,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_861]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6547,plain,
% 4.54/5.75 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6546]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_857,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3168_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6538,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_857]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6539,plain,
% 4.54/5.75 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6538]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_821,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3159_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6466,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_821]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6467,plain,
% 4.54/5.75 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.75 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6466]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_813,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3157_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6450,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_813]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6451,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.75 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6450]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_809,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3156_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6442,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_809]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6443,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6442]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_800,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3152_1) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6424,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_800]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6425,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.75 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6424]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_799,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3152_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6422,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_799]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6423,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.75 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6422]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_796,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3151_1) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6416,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_796]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6417,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X0,X1,X3)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X0,X2,X3)
% 4.54/5.75 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6416]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_795,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3151_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6414,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_795]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6415,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X0,X2,X3)
% 4.54/5.75 | c_HOL_Oord__class_Oless(X0,X1,X3)
% 4.54/5.75 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6414]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_792,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 4.54/5.75 | c_lessequals(X1,X3,X0)
% 4.54/5.75 | c_lessequals(X2,X3,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3150_1) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6408,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 4.54/5.75 | c_lessequals(X1,X3,X0)
% 4.54/5.75 | c_lessequals(X2,X3,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_792]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6409,plain,
% 4.54/5.75 ( ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 4.54/5.75 | c_lessequals(X0,X3,X2)
% 4.54/5.75 | c_lessequals(X1,X3,X2)
% 4.54/5.75 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6408]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_791,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 4.54/5.75 | c_lessequals(X2,X3,X0)
% 4.54/5.75 | c_lessequals(X1,X3,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3150_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6406,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 4.54/5.75 | c_lessequals(X2,X3,X0)
% 4.54/5.75 | c_lessequals(X1,X3,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_791]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6407,plain,
% 4.54/5.75 ( ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 4.54/5.75 | c_lessequals(X1,X3,X2)
% 4.54/5.75 | c_lessequals(X0,X3,X2)
% 4.54/5.75 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6406]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_788,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 4.54/5.75 | c_lessequals(X1,X2,X0)
% 4.54/5.75 | c_lessequals(X1,X3,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3149_1) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6400,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 4.54/5.75 | c_lessequals(X1,X2,X0)
% 4.54/5.75 | c_lessequals(X1,X3,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_788]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6401,plain,
% 4.54/5.75 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 4.54/5.75 | c_lessequals(X0,X1,X3)
% 4.54/5.75 | c_lessequals(X0,X2,X3)
% 4.54/5.75 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6400]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_787,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 4.54/5.75 | c_lessequals(X1,X3,X0)
% 4.54/5.75 | c_lessequals(X1,X2,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3149_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6398,plain,
% 4.54/5.75 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.75 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 4.54/5.75 | c_lessequals(X1,X3,X0)
% 4.54/5.75 | c_lessequals(X1,X2,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_787]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6399,plain,
% 4.54/5.75 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 4.54/5.75 | c_lessequals(X0,X2,X3)
% 4.54/5.75 | c_lessequals(X0,X1,X3)
% 4.54/5.75 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6398]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_784,plain,
% 4.54/5.75 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.75 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.75 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3148_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6392,plain,
% 4.54/5.75 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.75 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.75 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_784]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6393,plain,
% 4.54/5.75 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.75 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.75 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6392]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_781,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3147_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6386,plain,
% 4.54/5.75 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.75 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_781]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6387,plain,
% 4.54/5.75 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.75 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6386]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_761,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.75 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 4.54/5.75 | X1 = X3
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3138_2) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6346,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.75 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 4.54/5.75 | X1 = X3
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.54/5.75 inference(copy,[status(esa)],[c_761]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6347,plain,
% 4.54/5.75 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.75 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.75 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 4.54/5.75 | X1 = X2 ),
% 4.54/5.75 inference(rewriting,[status(thm)],[c_6346]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_759,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.75 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | X1 = X3 ),
% 4.54/5.75 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3138_0) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6342,plain,
% 4.54/5.75 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.75 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | X1 = X3 ),
% 4.54/5.75 inference(copy,[status(esa)],[c_759]) ).
% 4.54/5.75
% 4.54/5.75 cnf(c_6343,plain,
% 4.54/5.75 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.75 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.76 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 4.54/5.76 | X2 = X1 ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6342]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_755,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3137_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6334,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_755]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6335,plain,
% 4.54/5.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6334]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_751,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3136_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6326,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_751]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6327,plain,
% 4.54/5.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6326]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_747,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3135_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6318,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_747]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6319,plain,
% 4.54/5.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6318]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_743,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3134_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6310,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_743]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6311,plain,
% 4.54/5.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6310]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_739,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3133_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6302,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_739]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6303,plain,
% 4.54/5.76 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.76 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6302]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_736,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3132_1) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6296,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_736]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6297,plain,
% 4.54/5.76 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6296]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_735,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3132_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6294,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_735]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6295,plain,
% 4.54/5.76 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6294]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_732,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3131_1) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6288,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_732]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6289,plain,
% 4.54/5.76 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6288]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_731,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3131_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6286,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_731]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6287,plain,
% 4.54/5.76 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6286]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_727,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3130_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6278,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_727]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6279,plain,
% 4.54/5.76 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.76 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6278]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_724,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 4.54/5.76 | 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) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3129_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6272,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 4.54/5.76 | 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) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_724]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6273,plain,
% 4.54/5.76 ( 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)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6272]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_721,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X2,X3,tc_nat)
% 4.54/5.76 | 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) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3128_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6266,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X2,X3,tc_nat)
% 4.54/5.76 | 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) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_721]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6267,plain,
% 4.54/5.76 ( 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)
% 4.54/5.76 | ~ c_lessequals(X1,X3,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X0,X2,tc_nat) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6266]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_697,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3116_2) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6218,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_697]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6219,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6218]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_695,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3116_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6214,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_695]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6215,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6214]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_693,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3115_2) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6210,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_693]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6211,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6210]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_691,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3115_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6206,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_691]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6207,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6206]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_688,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X2,X3,tc_nat)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3114_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6200,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X2,X3,tc_nat)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_688]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6201,plain,
% 4.54/5.76 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 4.54/5.76 | ~ c_lessequals(X1,X3,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X0,X2,tc_nat) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6200]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_682,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.76 | 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) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3112_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6188,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.76 | 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) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_682]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6189,plain,
% 4.54/5.76 ( 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)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6188]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_662,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3105_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6148,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_662]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6149,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.76 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6148]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_659,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.76 | c_lessequals(c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X0,tc_nat),tc_nat) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3104_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6142,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.76 | c_lessequals(c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X0,tc_nat),tc_nat) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_659]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6143,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.76 | c_lessequals(c_Divides_Odiv__class_Odiv(X1,X2,tc_nat),c_Divides_Odiv__class_Odiv(X1,X0,tc_nat),tc_nat)
% 4.54/5.76 | ~ c_lessequals(X0,X2,tc_nat) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6142]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_635,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.76 | ~ c_lessequals(X3,X4,X0)
% 4.54/5.76 | 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) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3094_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6094,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.76 | ~ c_lessequals(X3,X4,X0)
% 4.54/5.76 | 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) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_635]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6095,plain,
% 4.54/5.76 ( 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)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.54/5.76 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.76 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6094]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_631,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.54/5.76 | 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) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3093_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6086,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.54/5.76 | 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) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_631]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6087,plain,
% 4.54/5.76 ( 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)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.76 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6086]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_627,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.54/5.76 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.76 | ~ c_lessequals(X3,X4,X0)
% 4.54/5.76 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3092_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6078,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.54/5.76 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.76 | ~ c_lessequals(X3,X4,X0)
% 4.54/5.76 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_627]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6079,plain,
% 4.54/5.76 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 4.54/5.76 | ~ c_lessequals(X2,X4,X0)
% 4.54/5.76 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6078]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_619,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3089_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6062,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_619]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6063,plain,
% 4.54/5.76 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6062]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_607,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3086_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6038,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_607]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6039,plain,
% 4.54/5.76 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6038]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_591,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3082_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6006,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_591]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_6007,plain,
% 4.54/5.76 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_6006]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_575,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3078_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5974,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_575]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5975,plain,
% 4.54/5.76 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.76 | ~ c_lessequals(X1,X3,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5974]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_571,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3077_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5966,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_571]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5967,plain,
% 4.54/5.76 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.76 | ~ c_lessequals(X1,X3,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5966]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_567,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3076_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5958,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_567]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5959,plain,
% 4.54/5.76 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.76 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5958]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_563,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3075_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5950,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_563]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5951,plain,
% 4.54/5.76 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.76 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | ~ c_lessequals(X3,X1,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5950]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_559,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3074_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5942,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_559]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5943,plain,
% 4.54/5.76 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.54/5.76 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | ~ c_lessequals(X3,X0,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5942]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_555,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3073_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5934,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_555]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5935,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.76 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5934]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_551,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3072_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5926,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_551]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5927,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.54/5.76 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 4.54/5.76 | ~ c_lessequals(X3,X2,X1)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5926]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_547,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.76 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3071_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5918,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.76 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_547]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5919,plain,
% 4.54/5.76 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 4.54/5.76 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5918]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_543,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.76 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 4.54/5.76 | X1 = X3
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3070_2) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5910,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.76 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 4.54/5.76 | X1 = X3
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_543]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5911,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__semidom(X1)
% 4.54/5.76 | c_Power_Opower__class_Opower(X2,X0,X1) != c_Power_Opower__class_Opower(X3,X0,X1)
% 4.54/5.76 | X2 = X3 ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5910]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_541,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.76 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | X1 = X3 ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3070_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5906,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.76 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.76 | X1 = X3 ),
% 4.54/5.76 inference(copy,[status(esa)],[c_541]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5907,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__semidom(X1)
% 4.54/5.76 | c_Power_Opower__class_Opower(X3,X0,X1) != c_Power_Opower__class_Opower(X2,X0,X1)
% 4.54/5.76 | X3 = X2 ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5906]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_527,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.76 | ~ 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)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3064_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5878,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.76 | ~ 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)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_527]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5879,plain,
% 4.54/5.76 ( ~ 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)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5878]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_524,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.76 | ~ 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)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3063_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5872,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.76 | ~ 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)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_524]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5873,plain,
% 4.54/5.76 ( ~ 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)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5872]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_521,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 4.54/5.76 | c_lessequals(X2,X3,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3062_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5866,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 4.54/5.76 | c_lessequals(X2,X3,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_521]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5867,plain,
% 4.54/5.76 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 4.54/5.76 | c_lessequals(X2,X3,X0)
% 4.54/5.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5866]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_518,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 4.54/5.76 | c_lessequals(X1,X3,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3061_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5860,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.76 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 4.54/5.76 | c_lessequals(X1,X3,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_518]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5861,plain,
% 4.54/5.76 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 4.54/5.76 | c_lessequals(X1,X3,X0)
% 4.54/5.76 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5860]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_515,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 4.54/5.76 | ~ c_lessequals(X2,X1,tc_nat)
% 4.54/5.76 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3060_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5854,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 4.54/5.76 | ~ c_lessequals(X2,X1,tc_nat)
% 4.54/5.76 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_515]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5855,plain,
% 4.54/5.76 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 4.54/5.76 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5854]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_507,plain,
% 4.54/5.76 ( 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)
% 4.54/5.76 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3056_2) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5838,plain,
% 4.54/5.76 ( 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)
% 4.54/5.76 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_507]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5839,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X0,X2,tc_nat)
% 4.54/5.76 | 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) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5838]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_498,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.76 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.76 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 4.54/5.76 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3054_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5820,plain,
% 4.54/5.76 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.76 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.76 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 4.54/5.76 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_498]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5821,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 4.54/5.76 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 4.54/5.76 | ~ c_lessequals(X3,X4,X1)
% 4.54/5.76 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5820]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_483,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X2,X1,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X2,X0,tc_nat)
% 4.54/5.76 | 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) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3048_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5790,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X2,X1,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X2,X0,tc_nat)
% 4.54/5.76 | 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) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_483]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5791,plain,
% 4.54/5.76 ( 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)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X1,X0,tc_nat) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5790]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_472,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.76 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.76 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X4,X0))
% 4.54/5.76 | X3 = X4
% 4.54/5.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3045_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5768,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.76 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.76 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X4,X0))
% 4.54/5.76 | X3 = X4
% 4.54/5.76 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_472]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5769,plain,
% 4.54/5.76 ( ~ class_Int_Onumber__ring(X0)
% 4.54/5.76 | ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.76 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X4,X0))
% 4.54/5.76 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.76 | X3 = X4 ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5768]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_457,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3038_1) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5738,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_457]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5739,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5738]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_456,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3038_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5736,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_456]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5737,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5736]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_453,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3037_1) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5730,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_453]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5731,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5730]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_452,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3037_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5728,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_452]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5729,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5728]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_449,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.76 | 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) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3036_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5722,plain,
% 4.54/5.76 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.76 | 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) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_449]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5723,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.76 | ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.76 | 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) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5722]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_437,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3032_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5698,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_437]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5699,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5698]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_433,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3031_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5690,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_433]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5691,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5690]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_429,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3030_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5682,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_429]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5683,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5682]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_425,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3029_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5674,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_425]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5675,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5674]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_420,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3028_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5664,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_420]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5665,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X0,X2),c_Power_Opower__class_Opower(X3,X0,X2),X2)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.76 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5664]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_416,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3027_0) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5656,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.76 inference(copy,[status(esa)],[c_416]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_5657,plain,
% 4.54/5.76 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.76 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.76 inference(rewriting,[status(thm)],[c_5656]) ).
% 4.54/5.76
% 4.54/5.76 cnf(c_412,plain,
% 4.54/5.76 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.76 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.76 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.76 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3026_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5648,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_412]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5649,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5648]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_396,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3021_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5616,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_396]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5617,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5616]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_392,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3020_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5608,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_392]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5609,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5608]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_388,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3019_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5600,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_388]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5601,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5600]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_384,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.54/5.77 | c_lessequals(X2,X3,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3018_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5592,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.54/5.77 | c_lessequals(X2,X3,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_384]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5593,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.54/5.77 | c_lessequals(X2,X3,X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5592]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_380,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | c_lessequals(X2,X3,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3017_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5584,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | c_lessequals(X2,X3,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_380]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5585,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | c_lessequals(X2,X3,X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5584]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_376,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | c_lessequals(X2,X3,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3016_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5576,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | c_lessequals(X2,X3,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_376]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5577,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | c_lessequals(X2,X3,X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5576]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_372,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.77 | c_lessequals(X3,X2,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3015_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5568,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.77 | c_lessequals(X3,X2,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_372]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5569,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1)
% 4.54/5.77 | c_lessequals(X3,X2,X1)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5568]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_368,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3014_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5560,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_368]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5561,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5560]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_364,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3013_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5552,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_364]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5553,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5552]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_360,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3012_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5544,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_360]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5545,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5544]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_356,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3011_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5536,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_356]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5537,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5536]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_344,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 4.54/5.77 | c_lessequals(X2,X1,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3007_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5512,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 4.54/5.77 | c_lessequals(X2,X1,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_344]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5513,plain,
% 4.54/5.77 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 4.54/5.77 | c_lessequals(X2,X1,X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5512]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_340,plain,
% 4.54/5.77 ( ~ 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)
% 4.54/5.77 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.77 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3006_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5504,plain,
% 4.54/5.77 ( ~ 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)
% 4.54/5.77 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.77 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_340]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5505,plain,
% 4.54/5.77 ( ~ 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)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.77 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.77 | ~ c_lessequals(X1,X0,tc_nat) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5504]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_332,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3004_2) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5488,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_332]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5489,plain,
% 4.54/5.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5488]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_330,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3004_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5484,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_330]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5485,plain,
% 4.54/5.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5484]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_328,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.54/5.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.54/5.77 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.77 | ~ c_lessequals(X2,X4,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3003_4) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5480,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.54/5.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.54/5.77 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.77 | ~ c_lessequals(X2,X4,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_328]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5481,plain,
% 4.54/5.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.77 | ~ c_lessequals(X1,X4,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5480]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_326,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.54/5.77 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.77 | ~ c_lessequals(X1,X4,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3003_2) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5476,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.54/5.77 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.77 | ~ c_lessequals(X1,X4,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_326]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5477,plain,
% 4.54/5.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.77 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.77 | ~ c_lessequals(X1,X4,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5476]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_324,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.77 | ~ c_lessequals(X2,X4,X0)
% 4.54/5.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3003_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5472,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.77 | ~ c_lessequals(X2,X4,X0)
% 4.54/5.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_324]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5473,plain,
% 4.54/5.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.77 | ~ c_lessequals(X1,X4,X2)
% 4.54/5.77 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5472]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_322,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.54/5.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.54/5.77 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.77 | ~ c_lessequals(X2,X4,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3002_4) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5468,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.54/5.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.54/5.77 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.77 | ~ c_lessequals(X2,X4,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_322]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5469,plain,
% 4.54/5.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.77 | ~ c_lessequals(X1,X4,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5468]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_320,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 4.54/5.77 | ~ c_lessequals(X3,X2,X0)
% 4.54/5.77 | ~ c_lessequals(X1,X4,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3002_2) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5464,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 4.54/5.77 | ~ c_lessequals(X3,X2,X0)
% 4.54/5.77 | ~ c_lessequals(X1,X4,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_320]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5465,plain,
% 4.54/5.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.54/5.77 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.77 | ~ c_lessequals(X1,X4,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5464]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_318,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.77 | ~ c_lessequals(X4,X2,X0)
% 4.54/5.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3002_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5460,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.77 | ~ c_lessequals(X4,X2,X0)
% 4.54/5.77 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_318]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5461,plain,
% 4.54/5.77 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.54/5.77 | ~ c_lessequals(X1,X4,X2)
% 4.54/5.77 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5460]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_312,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.77 | ~ c_lessequals(X2,X4,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3001_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5448,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.77 | ~ c_lessequals(X2,X4,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_312]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5449,plain,
% 4.54/5.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5448]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_306,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3000_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5436,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_306]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5437,plain,
% 4.54/5.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.77 | ~ c_lessequals(X1,X4,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5436]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_302,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2999_2) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5428,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_302]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5429,plain,
% 4.54/5.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5428]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_300,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2999_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5424,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_300]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5425,plain,
% 4.54/5.77 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5424]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_292,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_Suc(X2),tc_nat),tc_nat)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0,tc_nat)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.77 | X2 = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2996_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5408,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_Suc(X2),tc_nat),tc_nat)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0,tc_nat)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.77 | X2 = c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_292]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5409,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,c_Suc(X2),tc_nat),tc_nat)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),X1,tc_nat)
% 4.54/5.77 | X2 = c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5408]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_276,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.77 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),c_HOL_Otimes__class_Otimes(X1,X2,X0)) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2989_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5376,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.77 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),c_HOL_Otimes__class_Otimes(X1,X2,X0)) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_276]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5377,plain,
% 4.54/5.77 ( ~ class_Int_Onumber__ring(X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),c_HOL_Otimes__class_Otimes(X1,X2,X0)) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5376]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_272,plain,
% 4.54/5.77 ( ~ hBOOL(hAPP(X0,X1))
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Suc(X1),tc_nat),tc_nat)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X2,tc_nat)
% 4.54/5.77 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X2,X3,tc_nat))) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2988_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5368,plain,
% 4.54/5.77 ( ~ hBOOL(hAPP(X0,X1))
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X3,c_Suc(X1),tc_nat),tc_nat)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),X2,tc_nat)
% 4.54/5.77 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X2,X3,tc_nat))) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_272]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5369,plain,
% 4.54/5.77 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)))
% 4.54/5.77 | ~ hBOOL(hAPP(X0,X3))
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Suc(X3),tc_nat),tc_nat)
% 4.54/5.77 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X1,tc_nat) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5368]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_267,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 4.54/5.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2986_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5358,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 4.54/5.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_267]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5359,plain,
% 4.54/5.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5358]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_264,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 4.54/5.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2985_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5352,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 4.54/5.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_264]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5353,plain,
% 4.54/5.77 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5352]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_248,plain,
% 4.54/5.77 ( ~ c_Type_Otyping(X0,X1,X2)
% 4.54/5.77 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X1,X4))
% 4.54/5.77 | ~ c_InductTermi_OIT(X3)
% 4.54/5.77 | ~ c_Type_Otyping(c_Type_Oshift(X0,X4,X2,tc_Type_Otype),X3,X5)
% 4.54/5.77 | ~ c_InductTermi_OIT(X1) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2977_3) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5320,plain,
% 4.54/5.77 ( ~ c_Type_Otyping(X0,X1,X2)
% 4.54/5.77 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X1,X4))
% 4.54/5.77 | ~ c_InductTermi_OIT(X3)
% 4.54/5.77 | ~ c_Type_Otyping(c_Type_Oshift(X0,X4,X2,tc_Type_Otype),X3,X5)
% 4.54/5.77 | ~ c_InductTermi_OIT(X1) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_248]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5321,plain,
% 4.54/5.77 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 4.54/5.77 | ~ c_Type_Otyping(X0,X5,X2)
% 4.54/5.77 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 4.54/5.77 | ~ c_InductTermi_OIT(X3)
% 4.54/5.77 | ~ c_InductTermi_OIT(X5) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5320]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_245,plain,
% 4.54/5.77 ( ~ c_Type_Otyping(X0,X1,X2)
% 4.54/5.77 | ~ c_InductTermi_OIT(X1)
% 4.54/5.77 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 4.54/5.77 | ~ c_InductTermi_OIT(X4)
% 4.54/5.77 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X1,X3)) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2977_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5314,plain,
% 4.54/5.77 ( ~ c_Type_Otyping(X0,X1,X2)
% 4.54/5.77 | ~ c_InductTermi_OIT(X1)
% 4.54/5.77 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 4.54/5.77 | ~ c_InductTermi_OIT(X4)
% 4.54/5.77 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X1,X3)) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_245]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5315,plain,
% 4.54/5.77 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 4.54/5.77 | ~ c_Type_Otyping(X0,X5,X2)
% 4.54/5.77 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 4.54/5.77 | ~ c_InductTermi_OIT(X5)
% 4.54/5.77 | ~ c_InductTermi_OIT(X3) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5314]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_242,plain,
% 4.54/5.77 ( ~ c_Type_Otyping(X0,X1,X2)
% 4.54/5.77 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 4.54/5.77 | c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2976_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5308,plain,
% 4.54/5.77 ( ~ c_Type_Otyping(X0,X1,X2)
% 4.54/5.77 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 4.54/5.77 | c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_242]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5309,plain,
% 4.54/5.77 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 4.54/5.77 | c_Type_Otyping(X0,c_Lambda_Osubst(X3,X5,X1),X4)
% 4.54/5.77 | ~ c_Type_Otyping(X0,X5,X2) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5308]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_227,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.77 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X4,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X4,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0))
% 4.54/5.77 | X1 = X3
% 4.54/5.77 | X2 = X4 ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2972_1) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5278,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.77 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X4,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X4,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0))
% 4.54/5.77 | X1 = X3
% 4.54/5.77 | X2 = X4 ),
% 4.54/5.77 inference(copy,[status(esa)],[c_227]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5279,plain,
% 4.54/5.77 ( ~ class_Int_Onumber__ring(X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X4,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X4,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0))
% 4.54/5.77 | X1 = X3
% 4.54/5.77 | X2 = X4 ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5278]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_226,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.77 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X4,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X4,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0))
% 4.54/5.77 | X2 = X4
% 4.54/5.77 | X1 = X3 ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2972_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5276,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.77 | ~ class_Int_Onumber__ring(X0)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X4,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X4,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0))
% 4.54/5.77 | X2 = X4
% 4.54/5.77 | X1 = X3 ),
% 4.54/5.77 inference(copy,[status(esa)],[c_226]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5277,plain,
% 4.54/5.77 ( ~ class_Int_Onumber__ring(X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Oidom(X0)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X4,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X4,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0))
% 4.54/5.77 | X2 = X4
% 4.54/5.77 | X1 = X3 ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5276]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_219,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2969_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5262,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_219]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5263,plain,
% 4.54/5.77 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5262]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_216,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2968_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5256,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_216]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5257,plain,
% 4.54/5.77 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.77 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5256]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_203,plain,
% 4.54/5.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4)
% 4.54/5.77 | ~ c_lessequals(X0,X3,tc_nat)
% 4.54/5.77 | X2 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2963_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5230,plain,
% 4.54/5.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4)
% 4.54/5.77 | ~ c_lessequals(X0,X3,tc_nat)
% 4.54/5.77 | X2 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_203]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5231,plain,
% 4.54/5.77 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4)
% 4.54/5.77 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X4) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5230]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_200,plain,
% 4.54/5.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4)
% 4.54/5.77 | ~ c_lessequals(X3,X0,tc_nat)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat)),X2) = X4 ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2962_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5224,plain,
% 4.54/5.77 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4)
% 4.54/5.77 | ~ c_lessequals(X3,X0,tc_nat)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat)),X2) = X4 ),
% 4.54/5.77 inference(copy,[status(esa)],[c_200]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5225,plain,
% 4.54/5.77 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X3) = X4
% 4.54/5.77 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X4) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5224]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_162,plain,
% 4.54/5.77 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X3,X0,tc_nat)
% 4.54/5.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat)),X2),X4,tc_nat) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2944_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5148,plain,
% 4.54/5.77 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X3,X0,tc_nat)
% 4.54/5.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat)),X2),X4,tc_nat) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_162]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5149,plain,
% 4.54/5.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 4.54/5.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X1,X0,tc_nat) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5148]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_156,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X3,X0,tc_nat)
% 4.54/5.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat)),X2),X4,tc_nat) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2942_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5136,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X3,X0,tc_nat)
% 4.54/5.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat)),X2),X4,tc_nat) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_156]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5137,plain,
% 4.54/5.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X1,X0,tc_nat) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5136]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_150,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2940_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5124,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_150]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5125,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5124]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_144,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 4.54/5.77 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2938_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5112,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 4.54/5.77 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_144]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5113,plain,
% 4.54/5.77 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 4.54/5.77 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5112]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_141,plain,
% 4.54/5.77 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X2,X1,tc_nat)
% 4.54/5.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X4),tc_nat) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2937_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5106,plain,
% 4.54/5.77 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X2,X1,tc_nat)
% 4.54/5.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X4),tc_nat) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_141]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5107,plain,
% 4.54/5.77 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X0,X3,tc_nat) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5106]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_135,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X2,X1,tc_nat)
% 4.54/5.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X4),tc_nat) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2935_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5094,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X2,X1,tc_nat)
% 4.54/5.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X4),tc_nat) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_135]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5095,plain,
% 4.54/5.77 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat)
% 4.54/5.77 | ~ c_lessequals(X0,X3,tc_nat) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5094]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_129,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2933_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5082,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.77 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_129]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5083,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 4.54/5.77 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5082]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_123,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 4.54/5.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0) ),
% 4.54/5.77 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2931_0) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5070,plain,
% 4.54/5.77 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.77 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 4.54/5.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0) ),
% 4.54/5.77 inference(copy,[status(esa)],[c_123]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_5071,plain,
% 4.54/5.77 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 4.54/5.77 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0)
% 4.54/5.77 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.54/5.77 inference(rewriting,[status(thm)],[c_5070]) ).
% 4.54/5.77
% 4.54/5.77 cnf(c_116,plain,
% 4.54/5.77 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.78 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X0),X1,tc_nat)))
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | hBOOL(hAPP(X2,X3)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2929_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_5056,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.78 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X0),X1,tc_nat)))
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | hBOOL(hAPP(X2,X3)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_116]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_5057,plain,
% 4.54/5.78 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),X1,tc_nat)))
% 4.54/5.78 | hBOOL(hAPP(X0,X2))
% 4.54/5.78 | ~ c_HOL_Oord__class_Oless(X3,X1,tc_nat)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_5056]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_88,plain,
% 4.54/5.78 ( X0 = X1
% 4.54/5.78 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 4.54/5.78 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2915_2) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_5000,plain,
% 4.54/5.78 ( X0 = X1
% 4.54/5.78 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 4.54/5.78 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_88]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_5001,plain,
% 4.54/5.78 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 4.54/5.78 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 4.54/5.78 | X3 = X4 ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_5000]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2194,negated_conjecture,
% 4.54/5.78 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2622,negated_conjecture,
% 4.54/5.78 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2194]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2626,negated_conjecture,
% 4.54/5.78 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2622]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2627,negated_conjecture,
% 4.54/5.78 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2626]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2628,negated_conjecture,
% 4.54/5.78 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2627]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9128,negated_conjecture,
% 4.54/5.78 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2628]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2193,plain,
% 4.54/5.78 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_753_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9126,plain,
% 4.54/5.78 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2193]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2192,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_754_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9124,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2192]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2191,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_755_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9122,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2191]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2178,plain,
% 4.54/5.78 ( 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) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_744_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9108,plain,
% 4.54/5.78 ( 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) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2178]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2172,plain,
% 4.54/5.78 ( 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) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_750_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9101,plain,
% 4.54/5.78 ( 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) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2172]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2169,plain,
% 4.54/5.78 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OFun(X1,X2) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_756_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9097,plain,
% 4.54/5.78 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OFun(X1,X2) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2169]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2168,plain,
% 4.54/5.78 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OAtom(X2) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_757_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9095,plain,
% 4.54/5.78 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OAtom(X2) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2168]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2167,plain,
% 4.54/5.78 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_758_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9093,plain,
% 4.54/5.78 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2167]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2166,plain,
% 4.54/5.78 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_759_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9091,plain,
% 4.54/5.78 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2166]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2159,plain,
% 4.54/5.78 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_766_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9083,plain,
% 4.54/5.78 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2159]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2157,plain,
% 4.54/5.78 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_768_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9080,plain,
% 4.54/5.78 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2157]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2153,plain,
% 4.54/5.78 ( 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) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_772_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9075,plain,
% 4.54/5.78 ( 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) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2153]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2146,plain,
% 4.54/5.78 ( 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)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_779_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9067,plain,
% 4.54/5.78 ( 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)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2146]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2142,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_783_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9061,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2142]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2141,plain,
% 4.54/5.78 ( c_fequal(X0,X0,X1) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_784_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9059,plain,
% 4.54/5.78 ( c_fequal(X0,X0,X1) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2141]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2140,plain,
% 4.54/5.78 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_785_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9057,plain,
% 4.54/5.78 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2140]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2139,plain,
% 4.54/5.78 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_786_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9055,plain,
% 4.54/5.78 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2139]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2138,plain,
% 4.54/5.78 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_787_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9053,plain,
% 4.54/5.78 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2138]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2136,plain,
% 4.54/5.78 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_789_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9050,plain,
% 4.54/5.78 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2136]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2129,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_796_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9042,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2129]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2128,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_797_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9040,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2128]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2124,plain,
% 4.54/5.78 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_801_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9034,plain,
% 4.54/5.78 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2124]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2123,plain,
% 4.54/5.78 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_802_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9032,plain,
% 4.54/5.78 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2123]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2122,plain,
% 4.54/5.78 ( 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))) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_803_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9030,plain,
% 4.54/5.78 ( 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))) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2122]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2118,plain,
% 4.54/5.78 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_807_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9025,plain,
% 4.54/5.78 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2118]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2114,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_811_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9020,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2114]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2112,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_813_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9016,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2112]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2111,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_814_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9014,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2111]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2108,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_817_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9010,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2108]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2107,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_818_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9008,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2107]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2106,plain,
% 4.54/5.78 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_819_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9006,plain,
% 4.54/5.78 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2106]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2102,plain,
% 4.54/5.78 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_823_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_9001,plain,
% 4.54/5.78 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2102]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2095,plain,
% 4.54/5.78 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_830_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8993,plain,
% 4.54/5.78 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2095]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2092,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_833_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8988,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2092]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2088,plain,
% 4.54/5.78 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_837_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8982,plain,
% 4.54/5.78 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2088]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2080,plain,
% 4.54/5.78 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_845_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8972,plain,
% 4.54/5.78 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2080]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2077,plain,
% 4.54/5.78 ( c_lessequals(X0,X0,tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_848_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8967,plain,
% 4.54/5.78 ( c_lessequals(X0,X0,tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2077]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2075,plain,
% 4.54/5.78 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_850_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8964,plain,
% 4.54/5.78 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2075]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2074,plain,
% 4.54/5.78 ( X0 != c_Suc(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_851_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8962,plain,
% 4.54/5.78 ( X0 != c_Suc(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2074]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2073,plain,
% 4.54/5.78 ( c_Suc(X0) != X0 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_852_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8960,plain,
% 4.54/5.78 ( c_Suc(X0) != X0 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2073]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2072,plain,
% 4.54/5.78 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_853_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8958,plain,
% 4.54/5.78 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2072]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2070,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_855_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8954,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2070]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2069,plain,
% 4.54/5.78 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_856_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8952,plain,
% 4.54/5.78 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2069]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2067,plain,
% 4.54/5.78 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_858_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8949,plain,
% 4.54/5.78 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2067]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2064,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_861_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8944,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2064]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2062,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_863_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8940,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2062]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2061,plain,
% 4.54/5.78 ( class_Power_Opower(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_864_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8938,plain,
% 4.54/5.78 ( class_Power_Opower(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2061]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2060,plain,
% 4.54/5.78 ( class_Orderings_Obot(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_865_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8936,plain,
% 4.54/5.78 ( class_Orderings_Obot(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2060]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2059,plain,
% 4.54/5.78 ( class_Orderings_Oorder(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_866_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8934,plain,
% 4.54/5.78 ( class_Orderings_Oorder(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2059]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2058,plain,
% 4.54/5.78 ( class_Orderings_Olinorder(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_867_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8932,plain,
% 4.54/5.78 ( class_Orderings_Olinorder(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2058]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2057,plain,
% 4.54/5.78 ( class_Orderings_Opreorder(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_868_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8930,plain,
% 4.54/5.78 ( class_Orderings_Opreorder(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2057]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2056,plain,
% 4.54/5.78 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_869_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8928,plain,
% 4.54/5.78 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2056]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2055,plain,
% 4.54/5.78 ( class_Divides_Osemiring__div(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_870_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8926,plain,
% 4.54/5.78 ( class_Divides_Osemiring__div(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2055]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2054,plain,
% 4.54/5.78 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_871_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8924,plain,
% 4.54/5.78 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2054]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2053,plain,
% 4.54/5.78 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_872_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8922,plain,
% 4.54/5.78 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2053]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2052,plain,
% 4.54/5.78 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_873_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8920,plain,
% 4.54/5.78 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2052]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2051,plain,
% 4.54/5.78 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_874_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8918,plain,
% 4.54/5.78 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2051]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2050,plain,
% 4.54/5.78 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_875_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8916,plain,
% 4.54/5.78 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2050]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2049,plain,
% 4.54/5.78 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_876_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8914,plain,
% 4.54/5.78 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2049]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2048,plain,
% 4.54/5.78 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_877_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8912,plain,
% 4.54/5.78 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2048]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2047,plain,
% 4.54/5.78 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_878_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8910,plain,
% 4.54/5.78 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2047]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2046,plain,
% 4.54/5.78 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_879_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8908,plain,
% 4.54/5.78 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2046]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2045,plain,
% 4.54/5.78 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_880_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8906,plain,
% 4.54/5.78 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2045]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2044,plain,
% 4.54/5.78 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_881_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8904,plain,
% 4.54/5.78 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2044]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2043,plain,
% 4.54/5.78 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_882_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8902,plain,
% 4.54/5.78 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2043]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2042,plain,
% 4.54/5.78 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_883_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8900,plain,
% 4.54/5.78 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2042]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2041,plain,
% 4.54/5.78 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_884_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8898,plain,
% 4.54/5.78 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2041]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2040,plain,
% 4.54/5.78 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_885_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8896,plain,
% 4.54/5.78 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2040]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2039,plain,
% 4.54/5.78 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_886_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8894,plain,
% 4.54/5.78 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2039]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2038,plain,
% 4.54/5.78 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_887_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8892,plain,
% 4.54/5.78 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2038]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2037,plain,
% 4.54/5.78 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_888_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8890,plain,
% 4.54/5.78 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2037]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2036,plain,
% 4.54/5.78 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_889_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8888,plain,
% 4.54/5.78 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2036]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2035,plain,
% 4.54/5.78 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_890_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8886,plain,
% 4.54/5.78 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2035]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2034,plain,
% 4.54/5.78 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_891_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8884,plain,
% 4.54/5.78 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2034]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2033,plain,
% 4.54/5.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_892_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8882,plain,
% 4.54/5.78 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2033]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2032,plain,
% 4.54/5.78 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_893_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8880,plain,
% 4.54/5.78 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2032]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2031,plain,
% 4.54/5.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_894_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8878,plain,
% 4.54/5.78 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2031]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2030,plain,
% 4.54/5.78 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_895_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8876,plain,
% 4.54/5.78 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2030]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2029,plain,
% 4.54/5.78 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_896_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8874,plain,
% 4.54/5.78 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2029]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2028,plain,
% 4.54/5.78 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_897_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8872,plain,
% 4.54/5.78 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2028]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2027,plain,
% 4.54/5.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_898_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8870,plain,
% 4.54/5.78 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2027]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2026,plain,
% 4.54/5.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_899_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8868,plain,
% 4.54/5.78 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2026]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2025,plain,
% 4.54/5.78 ( c_Type_Otyping(v_ea____,v_s____,c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_900_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8866,plain,
% 4.54/5.78 ( c_Type_Otyping(v_ea____,v_s____,c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2025]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2024,plain,
% 4.54/5.78 ( c_Type_Otyping(v_ea____,v_ta____,v_Ta____) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_901_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8864,plain,
% 4.54/5.78 ( c_Type_Otyping(v_ea____,v_ta____,v_Ta____) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2024]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2019,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_906_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8858,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2019]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2018,plain,
% 4.54/5.78 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_907_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8856,plain,
% 4.54/5.78 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2018]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2015,plain,
% 4.54/5.78 ( c_InductTermi_OIT(v_s____) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_910_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8852,plain,
% 4.54/5.78 ( c_InductTermi_OIT(v_s____) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2015]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2014,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_911_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8850,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2014]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2012,plain,
% 4.54/5.78 ( c_InductTermi_OIT(v_ta____) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_913_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8847,plain,
% 4.54/5.78 ( c_InductTermi_OIT(v_ta____) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2012]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2009,plain,
% 4.54/5.78 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3589_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8842,plain,
% 4.54/5.78 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2009]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2007,plain,
% 4.54/5.78 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3588_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8838,plain,
% 4.54/5.78 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2007]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2003,plain,
% 4.54/5.78 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3586_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8830,plain,
% 4.54/5.78 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2003]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_2001,plain,
% 4.54/5.78 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) | X0 = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3585_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8826,plain,
% 4.54/5.78 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) | X0 = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_2001]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1999,plain,
% 4.54/5.78 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3584_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8822,plain,
% 4.54/5.78 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1999]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8823,plain,
% 4.54/5.78 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8822]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1997,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 4.54/5.78 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3583_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8818,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 4.54/5.78 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1997]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1995,plain,
% 4.54/5.78 ( ~ class_Orderings_Obot(X0) | class_Orderings_Obot(tc_fun(X1,X0)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3582_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8814,plain,
% 4.54/5.78 ( ~ class_Orderings_Obot(X0) | class_Orderings_Obot(tc_fun(X1,X0)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1995]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8815,plain,
% 4.54/5.78 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8814]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1993,plain,
% 4.54/5.78 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oorder(tc_fun(X1,X0)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3581_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8810,plain,
% 4.54/5.78 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oorder(tc_fun(X1,X0)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1993]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8811,plain,
% 4.54/5.78 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8810]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1991,plain,
% 4.54/5.78 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.78 | class_Orderings_Opreorder(tc_fun(X1,X0)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3580_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8806,plain,
% 4.54/5.78 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.78 | class_Orderings_Opreorder(tc_fun(X1,X0)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1991]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8807,plain,
% 4.54/5.78 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 4.54/5.78 | ~ class_Orderings_Opreorder(X1) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8806]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1989,plain,
% 4.54/5.78 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3579_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8802,plain,
% 4.54/5.78 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1989]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8803,plain,
% 4.54/5.78 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8802]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1987,plain,
% 4.54/5.78 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X1 = X3 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3578_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8798,plain,
% 4.54/5.78 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X1 = X3 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1987]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1985,plain,
% 4.54/5.78 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X0 = X2 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3577_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8794,plain,
% 4.54/5.78 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X0 = X2 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1985]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1983,plain,
% 4.54/5.78 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.78 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3576_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8790,plain,
% 4.54/5.78 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.78 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1983]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8791,plain,
% 4.54/5.78 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 4.54/5.78 | ~ c_Lambda_Obeta(X0,X1) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8790]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1980,plain,
% 4.54/5.78 ( ~ class_Nat_Osemiring__char__0(X0)
% 4.54/5.78 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 4.54/5.78 | X1 = X2 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3575_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8784,plain,
% 4.54/5.78 ( ~ class_Nat_Osemiring__char__0(X0)
% 4.54/5.78 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 4.54/5.78 | X1 = X2 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1980]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1978,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3574_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8780,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1978]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1976,plain,
% 4.54/5.78 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3573_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8776,plain,
% 4.54/5.78 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1976]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8777,plain,
% 4.54/5.78 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8776]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1974,plain,
% 4.54/5.78 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3572_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8772,plain,
% 4.54/5.78 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1974]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8773,plain,
% 4.54/5.78 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8772]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1972,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3571_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8768,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1972]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1970,plain,
% 4.54/5.78 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.78 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3570_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8764,plain,
% 4.54/5.78 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.78 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1970]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1968,plain,
% 4.54/5.78 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.78 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3569_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8760,plain,
% 4.54/5.78 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.78 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1968]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1966,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.54/5.78 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3568_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8756,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.54/5.78 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1966]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1962,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.54/5.78 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3566_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8748,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.54/5.78 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1962]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1960,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3565_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8744,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1960]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1958,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3564_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8740,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1958]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1956,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3563_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8736,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1956]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1954,plain,
% 4.54/5.78 ( ~ class_Orderings_Obot(X0)
% 4.54/5.78 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3562_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8732,plain,
% 4.54/5.78 ( ~ class_Orderings_Obot(X0)
% 4.54/5.78 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1954]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8733,plain,
% 4.54/5.78 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 4.54/5.78 | ~ class_Orderings_Obot(X0) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8732]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1952,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.54/5.78 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3561_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8728,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.54/5.78 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1952]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1950,plain,
% 4.54/5.78 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.78 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3560_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8724,plain,
% 4.54/5.78 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.78 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1950]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1948,plain,
% 4.54/5.78 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.78 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3559_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8720,plain,
% 4.54/5.78 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.78 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1948]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1944,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3557_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8712,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1944]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1942,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3556_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8708,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1942]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1940,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3555_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8704,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1940]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1938,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3554_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8700,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1938]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1936,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3553_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8696,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1936]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1934,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3552_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8692,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1934]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1930,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3550_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8684,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1930]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1928,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3549_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8680,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1928]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1926,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3548_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8676,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1926]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1916,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3544_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8656,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1916]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1914,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3543_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8652,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1914]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1912,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3542_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8648,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1912]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1910,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.78 | 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) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3541_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8644,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.78 | 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) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1910]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1901,plain,
% 4.54/5.78 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3538_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8626,plain,
% 4.54/5.78 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1901]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1899,plain,
% 4.54/5.78 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.78 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3537_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8622,plain,
% 4.54/5.78 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.78 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1899]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8623,plain,
% 4.54/5.78 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 4.54/5.78 | ~ c_Lambda_Obeta(X0,X2) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8622]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1897,plain,
% 4.54/5.78 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X2)
% 4.54/5.78 | hBOOL(hAPP(X0,X1))
% 4.54/5.78 | hBOOL(hAPP(X0,X3)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3536_1) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8618,plain,
% 4.54/5.78 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X2)
% 4.54/5.78 | hBOOL(hAPP(X0,X1))
% 4.54/5.78 | hBOOL(hAPP(X0,X3)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1897]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8619,plain,
% 4.54/5.78 ( hBOOL(hAPP(X0,X1))
% 4.54/5.78 | hBOOL(hAPP(X0,X2))
% 4.54/5.78 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X3) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8618]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1894,plain,
% 4.54/5.78 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X2)
% 4.54/5.78 | hBOOL(hAPP(X0,X2))
% 4.54/5.78 | hBOOL(hAPP(X0,X3)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3535_1) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8612,plain,
% 4.54/5.78 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X2)
% 4.54/5.78 | hBOOL(hAPP(X0,X2))
% 4.54/5.78 | hBOOL(hAPP(X0,X3)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1894]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8613,plain,
% 4.54/5.78 ( hBOOL(hAPP(X0,X1))
% 4.54/5.78 | hBOOL(hAPP(X0,X2))
% 4.54/5.78 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X3,X1) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8612]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1888,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3533_1) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8600,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1888]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1887,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3533_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8598,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1887]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1885,plain,
% 4.54/5.78 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3532_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8594,plain,
% 4.54/5.78 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1885]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1883,plain,
% 4.54/5.78 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3531_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8590,plain,
% 4.54/5.78 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1883]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8591,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8590]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1881,plain,
% 4.54/5.78 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3530_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8586,plain,
% 4.54/5.78 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1881]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8587,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8586]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1879,plain,
% 4.54/5.78 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3529_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8582,plain,
% 4.54/5.78 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1879]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8583,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8582]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1875,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.78 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3527_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8574,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.78 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1875]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8575,plain,
% 4.54/5.78 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 4.54/5.78 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8574]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1873,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3526_1) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8570,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1873]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1872,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3526_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8568,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1872]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1870,plain,
% 4.54/5.78 ( ~ c_InductTermi_OIT(X0)
% 4.54/5.78 | c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3525_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8564,plain,
% 4.54/5.78 ( ~ c_InductTermi_OIT(X0)
% 4.54/5.78 | c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1870]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8565,plain,
% 4.54/5.78 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 4.54/5.78 | ~ c_InductTermi_OIT(X0) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8564]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1861,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3522_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8546,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.78 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1861]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8547,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(rewriting,[status(thm)],[c_8546]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1858,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3521_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8540,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1858]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1850,plain,
% 4.54/5.78 ( ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0)))
% 4.54/5.78 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3519_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8524,plain,
% 4.54/5.78 ( ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0)))
% 4.54/5.78 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1850]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1845,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3517_1) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8514,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1845]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1844,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3517_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8512,plain,
% 4.54/5.78 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1844]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1841,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3516_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8506,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.78 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1841]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1838,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.54/5.78 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = X2 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3515_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8500,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.54/5.78 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = X2 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1838]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1835,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.54/5.78 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = X2 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3514_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8494,plain,
% 4.54/5.78 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.54/5.78 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = X2 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1835]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1833,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3513_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8490,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1833]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1831,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3512_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8486,plain,
% 4.54/5.78 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 4.54/5.78 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1831]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1824,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 4.54/5.78 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3510_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8472,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 4.54/5.78 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1824]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1822,plain,
% 4.54/5.78 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3509_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8468,plain,
% 4.54/5.78 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1822]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1820,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3508_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8464,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 4.54/5.78 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1820]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1818,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.78 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3507_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8460,plain,
% 4.54/5.78 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.78 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1818]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1808,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.78 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 4.54/5.78 | X1 = X0 ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3504_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8440,plain,
% 4.54/5.78 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.78 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 4.54/5.78 | X1 = X0 ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1808]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1805,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3503_1) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8434,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1805]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1804,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3503_0) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8432,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 inference(copy,[status(esa)],[c_1804]) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_1797,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.78 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.78 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.78 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3501_1) ).
% 4.54/5.78
% 4.54/5.78 cnf(c_8418,plain,
% 4.54/5.78 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.79 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1797]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1796,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3501_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8416,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.79 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1796]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1794,plain,
% 4.54/5.79 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3500_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8412,plain,
% 4.54/5.79 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1794]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1790,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3498_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8404,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1790]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1788,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3497_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8400,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1788]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1786,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3496_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8396,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1786]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1782,plain,
% 4.54/5.79 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3494_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8388,plain,
% 4.54/5.79 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1782]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1780,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 4.54/5.79 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3493_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8384,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 4.54/5.79 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1780]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1778,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3492_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8380,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1778]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1776,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3491_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8376,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1776]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1772,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3489_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8368,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1772]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1769,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_lessequals(X1,X2,X0)
% 4.54/5.79 | c_lessequals(X2,X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3488_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8362,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_lessequals(X1,X2,X0)
% 4.54/5.79 | c_lessequals(X2,X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1769]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8363,plain,
% 4.54/5.79 ( c_lessequals(X0,X1,X2)
% 4.54/5.79 | c_lessequals(X1,X0,X2)
% 4.54/5.79 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8362]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1757,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.79 | c_lessequals(X2,X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3484_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8338,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.79 | c_lessequals(X2,X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1757]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8339,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.79 | c_lessequals(X1,X0,X2)
% 4.54/5.79 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8338]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1755,plain,
% 4.54/5.79 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 4.54/5.79 | X0 = X2 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3483_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8334,plain,
% 4.54/5.79 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 4.54/5.79 | X0 = X2 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1755]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1753,plain,
% 4.54/5.79 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 4.54/5.79 | X1 = X3 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3482_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8330,plain,
% 4.54/5.79 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 4.54/5.79 | X1 = X3 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1753]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1716,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1))
% 4.54/5.79 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0))) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3473_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8256,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1))
% 4.54/5.79 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0))) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1716]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8257,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8256]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1713,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1))
% 4.54/5.79 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0))) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3472_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8250,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1))
% 4.54/5.79 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0))) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1713]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8251,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8250]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1710,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1))
% 4.54/5.79 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0))) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3471_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8244,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1))
% 4.54/5.79 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0))) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1710]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8245,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8244]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1707,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1))
% 4.54/5.79 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0))) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3470_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8238,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1))
% 4.54/5.79 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0))) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1707]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8239,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8238]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1704,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1))
% 4.54/5.79 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3469_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8232,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1))
% 4.54/5.79 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1704]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8233,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8232]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1702,plain,
% 4.54/5.79 ( ~ c_InductTermi_OIT(X0)
% 4.54/5.79 | c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2)) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3468_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8228,plain,
% 4.54/5.79 ( ~ c_InductTermi_OIT(X0)
% 4.54/5.79 | c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2)) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1702]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8229,plain,
% 4.54/5.79 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 4.54/5.79 | ~ c_InductTermi_OIT(X0) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8228]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1698,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3466_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8220,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1698]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1687,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3462_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8198,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1687]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1685,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3461_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8194,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1685]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1683,plain,
% 4.54/5.79 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.79 | c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3460_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8190,plain,
% 4.54/5.79 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.79 | c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1683]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8191,plain,
% 4.54/5.79 ( c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8190]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1681,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3459_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8186,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1681]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8187,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8186]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1679,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3458_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8182,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1679]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8183,plain,
% 4.54/5.79 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8182]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1675,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3456_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8174,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1675]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1671,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3454_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8166,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1671]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8167,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | ~ c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8166]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1669,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3453_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8162,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1669]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8163,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.54/5.79 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8162]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1667,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3452_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8158,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1667]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1665,plain,
% 4.54/5.79 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3451_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8154,plain,
% 4.54/5.79 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1665]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1661,plain,
% 4.54/5.79 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3449_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8146,plain,
% 4.54/5.79 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1661]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8147,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8146]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1659,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3448_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8142,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1659]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1655,plain,
% 4.54/5.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 4.54/5.79 | X0 = X2 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3446_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8134,plain,
% 4.54/5.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 4.54/5.79 | X0 = X2 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1655]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1653,plain,
% 4.54/5.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 4.54/5.79 | X1 = X2 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3445_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8130,plain,
% 4.54/5.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 4.54/5.79 | X1 = X2 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1653]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1645,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3442_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8114,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1645]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1643,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3441_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8110,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1643]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1634,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | X1 = X0
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3438_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8092,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | X1 = X0
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1634]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8093,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | X1 = X0 ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8092]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1631,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | X0 = X1
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3437_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8086,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | X0 = X1
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1631]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8087,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | X0 = X1 ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8086]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1617,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3432_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8058,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1617]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8059,plain,
% 4.54/5.79 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 4.54/5.79 | ~ c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8058]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1613,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3430_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8050,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1613]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8051,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_8050]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1604,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1))
% 4.54/5.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3427_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_8032,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1))
% 4.54/5.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1604]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1569,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | X0 = c_Suc(X1)
% 4.54/5.79 | c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3418_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7962,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | X0 = c_Suc(X1)
% 4.54/5.79 | c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1569]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7963,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | X0 = c_Suc(X1) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7962]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1564,plain,
% 4.54/5.79 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 4.54/5.79 | c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3416_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7952,plain,
% 4.54/5.79 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 4.54/5.79 | c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1564]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1562,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3415_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7948,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1562]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1557,plain,
% 4.54/5.79 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.79 | c_Type_Otyping(X2,X1,X3)
% 4.54/5.79 | ~ c_Type_Otyping(X2,X0,X3) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3413_1) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7938,plain,
% 4.54/5.79 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.79 | c_Type_Otyping(X2,X1,X3)
% 4.54/5.79 | ~ c_Type_Otyping(X2,X0,X3) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1557]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7939,plain,
% 4.54/5.79 ( c_Type_Otyping(X0,X1,X2)
% 4.54/5.79 | ~ c_Type_Otyping(X0,X3,X2)
% 4.54/5.79 | ~ c_Lambda_Obeta(X3,X1) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7938]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1554,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.54/5.79 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3412_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7932,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.54/5.79 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1554]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1551,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,X1))
% 4.54/5.79 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 4.54/5.79 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3411_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7926,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,X1))
% 4.54/5.79 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 4.54/5.79 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1551]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7927,plain,
% 4.54/5.79 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 4.54/5.79 | ~ hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7926]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1549,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3410_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7922,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1549]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7923,plain,
% 4.54/5.79 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 4.54/5.79 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7922]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1547,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3409_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7918,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1547]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7919,plain,
% 4.54/5.79 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 4.54/5.79 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7918]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1545,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3408_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7914,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1545]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7915,plain,
% 4.54/5.79 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 4.54/5.79 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7914]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1543,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3407_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7910,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1543]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7911,plain,
% 4.54/5.79 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 4.54/5.79 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7910]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1541,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3406_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7906,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1541]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1539,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3405_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7902,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1539]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1536,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3404_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7896,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1536]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1530,plain,
% 4.54/5.79 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 4.54/5.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.79 | X1 = X2 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3402_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7884,plain,
% 4.54/5.79 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 4.54/5.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.79 | X1 = X2 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1530]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1527,plain,
% 4.54/5.79 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 4.54/5.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.79 | X0 = X2 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3401_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7878,plain,
% 4.54/5.79 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 4.54/5.79 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.79 | X0 = X2 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1527]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1524,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 4.54/5.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 4.54/5.79 | X1 = X3 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3400_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7872,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 4.54/5.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 4.54/5.79 | X1 = X3 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1524]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1521,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 4.54/5.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 4.54/5.79 | X2 = X3 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3399_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7866,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 4.54/5.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 4.54/5.79 | X2 = X3 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1521]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1518,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 4.54/5.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 4.54/5.79 | X2 = X3 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3398_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7860,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 4.54/5.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 4.54/5.79 | X2 = X3 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1518]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1516,plain,
% 4.54/5.79 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3397_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7856,plain,
% 4.54/5.79 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1516]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1514,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.79 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3396_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7852,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.79 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1514]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7853,plain,
% 4.54/5.79 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 4.54/5.79 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7852]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1511,plain,
% 4.54/5.79 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.79 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 4.54/5.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3395_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7846,plain,
% 4.54/5.79 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.79 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 4.54/5.79 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1511]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1508,plain,
% 4.54/5.79 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.79 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 4.54/5.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3394_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7840,plain,
% 4.54/5.79 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.79 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 4.54/5.79 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1508]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1505,plain,
% 4.54/5.79 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.79 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.79 | X1 = X0 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3393_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7834,plain,
% 4.54/5.79 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.79 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.79 | X1 = X0 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1505]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1503,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3392_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7830,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1503]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7831,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7830]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1501,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3391_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7826,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1501]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7827,plain,
% 4.54/5.79 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7826]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1498,plain,
% 4.54/5.79 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 4.54/5.79 | X1 = X4
% 4.54/5.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3390_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7820,plain,
% 4.54/5.79 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 4.54/5.79 | X1 = X4
% 4.54/5.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1498]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7821,plain,
% 4.54/5.79 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 4.54/5.79 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.79 | X1 = X4 ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7820]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1495,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.79 | X0 = X1 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3389_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7814,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 4.54/5.79 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.79 | X0 = X1 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1495]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1489,plain,
% 4.54/5.79 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3387_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7802,plain,
% 4.54/5.79 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1489]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7803,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.54/5.79 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7802]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1486,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3386_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7796,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1486]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7797,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.54/5.79 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7796]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1483,plain,
% 4.54/5.79 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3385_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7790,plain,
% 4.54/5.79 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1483]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7791,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 4.54/5.79 | ~ class_Orderings_Oorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7790]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1480,plain,
% 4.54/5.79 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.79 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3384_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7784,plain,
% 4.54/5.79 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.79 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1480]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7785,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.79 | ~ c_lessequals(X1,X0,X2)
% 4.54/5.79 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7784]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1474,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.79 | ~ c_lessequals(X2,X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3382_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7772,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.79 | ~ c_lessequals(X2,X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1474]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7773,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.79 | ~ c_lessequals(X1,X0,X2)
% 4.54/5.79 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7772]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1471,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | ~ c_lessequals(X1,X1,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3381_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7766,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | ~ c_lessequals(X1,X1,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1471]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7767,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 4.54/5.79 | ~ c_lessequals(X0,X0,X1)
% 4.54/5.79 | ~ class_Orderings_Olinorder(X1) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7766]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1469,plain,
% 4.54/5.79 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.79 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3380_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7762,plain,
% 4.54/5.79 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.79 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1469]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7763,plain,
% 4.54/5.79 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 4.54/5.79 | ~ c_Lambda_Obeta(X0,X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7762]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1467,plain,
% 4.54/5.79 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.79 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3379_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7758,plain,
% 4.54/5.79 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.79 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1467]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7759,plain,
% 4.54/5.79 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 4.54/5.79 | ~ c_Lambda_Obeta(X1,X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7758]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1460,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.54/5.79 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 4.54/5.79 | X2 = X3 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3377_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7744,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.54/5.79 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 4.54/5.79 | X2 = X3 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1460]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1457,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.54/5.79 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 4.54/5.79 | X1 = X2 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3376_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7738,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.54/5.79 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 4.54/5.79 | X1 = X2 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1457]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1440,plain,
% 4.54/5.79 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 4.54/5.79 | X1 = X2 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3371_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7704,plain,
% 4.54/5.79 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 4.54/5.79 | X1 = X2 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1440]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1436,plain,
% 4.54/5.79 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 4.54/5.79 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 4.54/5.79 | X2 = X1
% 4.54/5.79 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3370_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7696,plain,
% 4.54/5.79 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 4.54/5.79 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 4.54/5.79 | X2 = X1
% 4.54/5.79 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1436]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7697,plain,
% 4.54/5.79 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 4.54/5.79 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 4.54/5.79 | X2 = X1 ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7696]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1433,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))))
% 4.54/5.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3369_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7690,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))))
% 4.54/5.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1433]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1430,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 4.54/5.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3368_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7684,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 4.54/5.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1430]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1427,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 4.54/5.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3367_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7678,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 4.54/5.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1427]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1424,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 4.54/5.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3366_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7672,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 4.54/5.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1424]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1421,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 4.54/5.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3365_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7666,plain,
% 4.54/5.79 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 4.54/5.79 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.79 | hBOOL(hAPP(X0,X1)) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1421]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1418,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3364_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7660,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1418]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7661,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.79 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7660]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1415,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.79 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.79 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3363_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7654,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.79 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.79 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1415]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7655,plain,
% 4.54/5.79 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 4.54/5.79 | ~ c_lessequals(X0,X2,tc_nat)
% 4.54/5.79 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7654]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1412,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 4.54/5.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3362_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7648,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 4.54/5.79 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1412]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7649,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 4.54/5.79 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7648]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1406,plain,
% 4.54/5.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 4.54/5.79 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3360_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7636,plain,
% 4.54/5.79 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 4.54/5.79 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1406]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7637,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7636]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1404,plain,
% 4.54/5.79 ( 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))
% 4.54/5.79 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3359_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7632,plain,
% 4.54/5.79 ( 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))
% 4.54/5.79 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1404]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7633,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | 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)) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7632]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1399,plain,
% 4.54/5.79 ( c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | ~ c_lessequals(X0,X2,tc_nat)
% 4.54/5.79 | ~ c_lessequals(X2,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3357_2) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7622,plain,
% 4.54/5.79 ( c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | ~ c_lessequals(X0,X2,tc_nat)
% 4.54/5.79 | ~ c_lessequals(X2,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1399]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1398,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_lessequals(X2,X1,tc_nat)
% 4.54/5.79 | ~ c_lessequals(X2,X0,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3357_1) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7620,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_lessequals(X2,X1,tc_nat)
% 4.54/5.79 | ~ c_lessequals(X2,X0,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1398]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1397,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | ~ c_lessequals(X2,X0,tc_nat)
% 4.54/5.79 | c_lessequals(X2,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3357_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7618,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | ~ c_lessequals(X2,X0,tc_nat)
% 4.54/5.79 | c_lessequals(X2,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1397]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1395,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.79 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3356_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7614,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.79 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1395]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1393,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3355_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7610,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1393]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1391,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3354_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7606,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1391]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1389,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3353_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7602,plain,
% 4.54/5.79 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.79 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1389]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1388,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3352_2) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7600,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1388]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1380,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3349_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7584,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1380]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7585,plain,
% 4.54/5.79 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 4.54/5.79 | ~ c_lessequals(X0,X1,tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7584]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1378,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3348_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7580,plain,
% 4.54/5.79 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.79 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1378]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7581,plain,
% 4.54/5.79 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 4.54/5.79 | ~ c_lessequals(X0,X2,tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7580]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1372,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3345_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7568,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1372]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7569,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7568]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1370,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3344_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7564,plain,
% 4.54/5.79 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1370]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7565,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7564]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1359,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3340_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7542,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1359]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1353,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3337_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7530,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1353]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1351,plain,
% 4.54/5.79 ( ~ class_Power_Opower(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3336_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7526,plain,
% 4.54/5.79 ( ~ class_Power_Opower(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1351]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1349,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3335_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7522,plain,
% 4.54/5.79 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1349]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1347,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3334_0) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7518,plain,
% 4.54/5.79 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 4.54/5.79 | c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1347]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1344,plain,
% 4.54/5.79 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.79 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3333_1) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7512,plain,
% 4.54/5.79 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.79 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1344]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7513,plain,
% 4.54/5.79 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.79 | ~ c_lessequals(X3,X1,X2)
% 4.54/5.79 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7512]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1337,plain,
% 4.54/5.79 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.79 | c_lessequals(X1,X2,X0)
% 4.54/5.79 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.79 | ~ c_lessequals(X3,X2,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3331_2) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7498,plain,
% 4.54/5.79 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.79 | c_lessequals(X1,X2,X0)
% 4.54/5.79 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.79 | ~ c_lessequals(X3,X2,X0) ),
% 4.54/5.79 inference(copy,[status(esa)],[c_1337]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_7499,plain,
% 4.54/5.79 ( c_lessequals(X0,X1,X2)
% 4.54/5.79 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.79 | ~ c_lessequals(X3,X1,X2)
% 4.54/5.79 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.79 inference(rewriting,[status(thm)],[c_7498]) ).
% 4.54/5.79
% 4.54/5.79 cnf(c_1328,plain,
% 4.54/5.79 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.79 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.79 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.79 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.79 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3329_1) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7480,plain,
% 4.54/5.80 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1328]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7481,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.80 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.80 | ~ class_Orderings_Oorder(X2) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7480]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1325,plain,
% 4.54/5.80 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.80 | c_lessequals(X1,X2,X0)
% 4.54/5.80 | ~ c_lessequals(X3,X2,X0)
% 4.54/5.80 | ~ c_lessequals(X1,X3,X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3328_2) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7474,plain,
% 4.54/5.80 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.80 | c_lessequals(X1,X2,X0)
% 4.54/5.80 | ~ c_lessequals(X3,X2,X0)
% 4.54/5.80 | ~ c_lessequals(X1,X3,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1325]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7475,plain,
% 4.54/5.80 ( c_lessequals(X0,X1,X2)
% 4.54/5.80 | ~ c_lessequals(X3,X1,X2)
% 4.54/5.80 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.80 | ~ class_Orderings_Oorder(X2) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7474]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1321,plain,
% 4.54/5.80 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3327_2) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7466,plain,
% 4.54/5.80 ( ~ class_Orderings_Oorder(X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1321]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7467,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.80 | ~ class_Orderings_Oorder(X2) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7466]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1317,plain,
% 4.54/5.80 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3326_2) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7458,plain,
% 4.54/5.80 ( ~ class_Orderings_Opreorder(X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1317]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7459,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.80 | ~ class_Orderings_Opreorder(X2) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7458]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1313,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3325_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7450,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1313]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1311,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3324_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7446,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | 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) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1311]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7447,plain,
% 4.54/5.80 ( 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)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7446]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1309,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3323_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7442,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | 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) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1309]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7443,plain,
% 4.54/5.80 ( 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)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7442]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1307,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3322_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7438,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1307]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7439,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7438]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1305,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3321_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7434,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1305]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1303,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3320_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7430,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1303]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1301,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3319_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7426,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1301]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7427,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7426]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1299,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3318_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7422,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1299]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1297,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3317_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7418,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1297]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1295,plain,
% 4.54/5.80 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.80 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3316_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7414,plain,
% 4.54/5.80 ( ~ c_Lambda_Obeta(X0,X1)
% 4.54/5.80 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1295]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7415,plain,
% 4.54/5.80 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 4.54/5.80 | ~ c_Lambda_Obeta(X0,X3) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7414]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1293,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3315_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7410,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1293]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1278,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3310_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7380,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1278]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7381,plain,
% 4.54/5.80 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 4.54/5.80 | ~ c_lessequals(X0,X1,X3)
% 4.54/5.80 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7380]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1275,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3309_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7374,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1275]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7375,plain,
% 4.54/5.80 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 4.54/5.80 | ~ c_lessequals(X0,X2,X3)
% 4.54/5.80 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7374]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1272,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3308_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7368,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1272]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7369,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.80 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7368]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1269,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3307_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7362,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1269]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7363,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.80 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7362]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1260,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3304_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7344,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1260]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7345,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 4.54/5.80 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7344]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1257,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3303_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7338,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1257]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7339,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 4.54/5.80 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7338]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1248,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3300_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7320,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1248]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7321,plain,
% 4.54/5.80 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 4.54/5.80 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.80 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7320]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1245,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | c_lessequals(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3299_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7314,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | c_lessequals(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1245]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7315,plain,
% 4.54/5.80 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 4.54/5.80 | ~ c_lessequals(X1,X3,X2)
% 4.54/5.80 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7314]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1236,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3296_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7296,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1236]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1233,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3295_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7290,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1233]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7291,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 4.54/5.80 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7290]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1230,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3294_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7284,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1230]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7285,plain,
% 4.54/5.80 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.80 | ~ c_lessequals(X0,X1,X2)
% 4.54/5.80 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7284]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1227,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3293_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7278,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1227]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7279,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.80 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7278]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1224,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.80 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.80 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3292_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7272,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.80 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.80 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1224]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7273,plain,
% 4.54/5.80 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.80 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.80 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7272]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1221,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3291_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7266,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1221]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7267,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.80 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7266]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1218,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3290_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7260,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1218]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7261,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.80 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7260]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1215,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.80 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3289_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7254,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 4.54/5.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.80 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1215]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7255,plain,
% 4.54/5.80 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 4.54/5.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.80 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7254]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1213,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3288_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7250,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1213]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7251,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 4.54/5.80 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7250]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1210,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3287_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7244,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1210]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7245,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.80 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7244]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1207,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.80 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3286_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7238,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 4.54/5.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.80 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1207]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7239,plain,
% 4.54/5.80 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 4.54/5.80 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.80 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7238]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1205,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.54/5.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3285_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7234,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 4.54/5.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1205]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1203,plain,
% 4.54/5.80 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.80 | c_lessequals(X0,X2,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3284_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7230,plain,
% 4.54/5.80 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.80 | c_lessequals(X0,X2,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1203]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1201,plain,
% 4.54/5.80 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.80 | c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3283_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7226,plain,
% 4.54/5.80 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.80 | c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1201]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1199,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3282_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7222,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1199]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1197,plain,
% 4.54/5.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3281_1) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7218,plain,
% 4.54/5.80 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1197]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7219,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 4.54/5.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7218]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1180,plain,
% 4.54/5.80 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3277_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7184,plain,
% 4.54/5.80 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1180]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1178,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3276_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7180,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1178]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1174,plain,
% 4.54/5.80 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.80 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3274_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7172,plain,
% 4.54/5.80 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.80 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1174]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1172,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3273_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7168,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1172]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1170,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3272_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7164,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1170]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1162,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.80 | 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)) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3269_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7148,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.80 | 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)) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1162]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1160,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.80 | 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)) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3268_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7144,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.80 | 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)) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1160]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1158,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.54/5.80 | 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)) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3267_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7140,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.54/5.80 | 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)) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1158]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1120,plain,
% 4.54/5.80 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 4.54/5.80 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3254_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7064,plain,
% 4.54/5.80 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 4.54/5.80 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1120]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1118,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3253_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7060,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.80 | 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) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1118]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7061,plain,
% 4.54/5.80 ( 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)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7060]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1116,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3252_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7056,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.80 | 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) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1116]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7057,plain,
% 4.54/5.80 ( 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)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7056]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1114,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3251_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7052,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | 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) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1114]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7053,plain,
% 4.54/5.80 ( 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)
% 4.54/5.80 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7052]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1112,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3250_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7048,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | 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) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1112]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7049,plain,
% 4.54/5.80 ( 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)
% 4.54/5.80 | ~ c_lessequals(X0,X2,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7048]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1110,plain,
% 4.54/5.80 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3249_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7044,plain,
% 4.54/5.80 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1110]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7045,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7044]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1108,plain,
% 4.54/5.80 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3248_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7040,plain,
% 4.54/5.80 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1108]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7041,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_7040]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1090,plain,
% 4.54/5.80 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 4.54/5.80 | 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 ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3243_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_7004,plain,
% 4.54/5.80 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 4.54/5.80 | 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 ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1090]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1067,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 4.54/5.80 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3235_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6958,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 4.54/5.80 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1067]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1065,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.80 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3234_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6954,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.80 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1065]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1061,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.80 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3232_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6946,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.80 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1061]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1057,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3230_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6938,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1057]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1055,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3229_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6934,plain,
% 4.54/5.80 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1055]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1053,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 4.54/5.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3228_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6930,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 4.54/5.80 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1053]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1051,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3227_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6926,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1051]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1049,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3226_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6922,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1049]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1047,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3225_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6918,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1047]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1045,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3224_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6914,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1045]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1043,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 4.54/5.80 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3223_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6910,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 4.54/5.80 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1043]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1041,plain,
% 4.54/5.80 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3222_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6906,plain,
% 4.54/5.80 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1041]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1039,plain,
% 4.54/5.80 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3221_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6902,plain,
% 4.54/5.80 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1039]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1036,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3220_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6896,plain,
% 4.54/5.80 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1036]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1033,plain,
% 4.54/5.80 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 4.54/5.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3219_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6890,plain,
% 4.54/5.80 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 4.54/5.80 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1033]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1030,plain,
% 4.54/5.80 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 4.54/5.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3218_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6884,plain,
% 4.54/5.80 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.80 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 4.54/5.80 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1030]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1025,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3216_2) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6874,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1025]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1019,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3214_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6862,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1019]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1016,plain,
% 4.54/5.80 ( ~ c_Type_Otyping(X0,X1,X2)
% 4.54/5.80 | ~ c_Type_Otyping(X0,X3,c_Type_Otype_OFun(X2,X4))
% 4.54/5.80 | c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X4) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3213_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6856,plain,
% 4.54/5.80 ( ~ c_Type_Otyping(X0,X1,X2)
% 4.54/5.80 | ~ c_Type_Otyping(X0,X3,c_Type_Otype_OFun(X2,X4))
% 4.54/5.80 | c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X4) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1016]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6857,plain,
% 4.54/5.80 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 4.54/5.80 | ~ c_Type_Otyping(X0,X1,c_Type_Otype_OFun(X4,X3))
% 4.54/5.80 | ~ c_Type_Otyping(X0,X2,X4) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_6856]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_1006,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 4.54/5.80 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.80 | ~ c_lessequals(X2,X3,X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3210_2) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6836,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 4.54/5.80 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.80 | ~ c_lessequals(X2,X3,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_1006]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6837,plain,
% 4.54/5.80 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 4.54/5.80 | ~ c_lessequals(X0,X3,X2)
% 4.54/5.80 | ~ c_lessequals(X1,X3,X2)
% 4.54/5.80 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_6836]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_994,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | ~ c_lessequals(X1,X3,X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3207_2) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6812,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 4.54/5.80 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.80 | ~ c_lessequals(X1,X3,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_994]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6813,plain,
% 4.54/5.80 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 4.54/5.80 | ~ c_lessequals(X0,X1,X3)
% 4.54/5.80 | ~ c_lessequals(X0,X2,X3)
% 4.54/5.80 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_6812]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_990,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3206_2) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6804,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_990]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6805,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 4.54/5.80 | ~ class_Orderings_Olinorder(X3) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_6804]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_986,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3205_2) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6796,plain,
% 4.54/5.80 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_986]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6797,plain,
% 4.54/5.80 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.80 | ~ class_Orderings_Olinorder(X2) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_6796]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_982,plain,
% 4.54/5.80 ( ~ 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)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3204_1) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6788,plain,
% 4.54/5.80 ( ~ 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)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_982]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_981,plain,
% 4.54/5.80 ( ~ 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)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3204_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6786,plain,
% 4.54/5.80 ( ~ 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)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.80 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_981]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_975,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3201_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6774,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_975]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6775,plain,
% 4.54/5.80 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.80 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_6774]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_973,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3200_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6770,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_973]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6771,plain,
% 4.54/5.80 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 4.54/5.80 | ~ c_lessequals(X0,X2,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_6770]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_971,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_lessequals(c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),c_Divides_Odiv__class_Odiv(X1,X2,tc_nat),tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3199_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6766,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_lessequals(c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),c_Divides_Odiv__class_Odiv(X1,X2,tc_nat),tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_971]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6767,plain,
% 4.54/5.80 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),tc_nat)
% 4.54/5.80 | ~ c_lessequals(X0,X2,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_6766]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_969,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3198_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6762,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_969]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6763,plain,
% 4.54/5.80 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 4.54/5.80 | ~ c_lessequals(X0,X2,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_6762]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_967,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3197_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6758,plain,
% 4.54/5.80 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.80 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_967]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6759,plain,
% 4.54/5.80 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 4.54/5.80 | ~ c_lessequals(X2,X1,tc_nat) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_6758]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_960,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3195_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6744,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 inference(copy,[status(esa)],[c_960]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6745,plain,
% 4.54/5.80 ( 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)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.80 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 4.54/5.80 inference(rewriting,[status(thm)],[c_6744]) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_957,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | 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) ),
% 4.54/5.80 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3194_0) ).
% 4.54/5.80
% 4.54/5.80 cnf(c_6738,plain,
% 4.54/5.80 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.54/5.80 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.80 | 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) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_957]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6739,plain,
% 4.54/5.81 ( 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)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6738]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_954,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3193_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6732,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_954]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6733,plain,
% 4.54/5.81 ( 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)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6732]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_951,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3192_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6726,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_951]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6727,plain,
% 4.54/5.81 ( 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)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6726]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_948,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.54/5.81 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3191_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6720,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.54/5.81 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_948]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6721,plain,
% 4.54/5.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 4.54/5.81 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6720]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_945,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.54/5.81 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3190_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6714,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.54/5.81 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_945]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6715,plain,
% 4.54/5.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 4.54/5.81 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6714]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_942,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.81 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3189_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6708,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.81 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_942]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6709,plain,
% 4.54/5.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 4.54/5.81 | ~ c_lessequals(X2,X3,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6708]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_939,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.81 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3188_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6702,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.81 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_939]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6703,plain,
% 4.54/5.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 4.54/5.81 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6702]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_917,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3183_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6658,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_917]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6659,plain,
% 4.54/5.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6658]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_911,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3182_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6646,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_911]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6647,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6646]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_905,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3180_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6634,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_905]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6635,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6634]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_899,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3179_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6622,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_899]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6623,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6622]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_893,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3177_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6610,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_893]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6611,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6610]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_889,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3176_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6602,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 4.54/5.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_889]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6603,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6602]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_884,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3175_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6592,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_884]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_881,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3174_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6586,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_881]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_879,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3173_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6582,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_879]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6583,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6582]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_871,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3171_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6566,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.54/5.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_871]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6567,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6566]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_867,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3170_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6558,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_867]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6559,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6558]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_863,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3169_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6550,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_863]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6551,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6550]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_859,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.54/5.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3168_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6542,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.54/5.81 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_859]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6543,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6542]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_849,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3166_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6522,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_849]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6523,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.81 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6522]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_845,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3165_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6514,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_845]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6515,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.81 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6514]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_829,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3161_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6482,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_829]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6483,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.81 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.81 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6482]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_825,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3160_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6474,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_825]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6475,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.81 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6474]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_817,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3158_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6458,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_817]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6459,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.81 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.81 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6458]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_815,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3157_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6454,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_815]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6455,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6454]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_811,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3156_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6446,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_811]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6447,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 4.54/5.81 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6446]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_807,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.81 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3155_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6438,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.81 | c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_807]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6439,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 4.54/5.81 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6438]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_805,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3154_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6434,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_805]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6435,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6434]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_803,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 4.54/5.81 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3153_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6430,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 4.54/5.81 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 4.54/5.81 inference(copy,[status(esa)],[c_803]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_786,plain,
% 4.54/5.81 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.81 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.81 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3148_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6396,plain,
% 4.54/5.81 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.81 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 4.54/5.81 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_786]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_783,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3147_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6390,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_783]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_777,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.81 | 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)) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3145_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6378,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.81 | 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)) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_777]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_775,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3144_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6374,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_775]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_773,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 4.54/5.81 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3143_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6370,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 4.54/5.81 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_773]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6371,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 4.54/5.81 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6370]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_771,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.81 | 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) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3142_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6366,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.81 | 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) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_771]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_768,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.54/5.81 | 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)
% 4.54/5.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3141_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6360,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 4.54/5.81 | 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)
% 4.54/5.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 4.54/5.81 inference(copy,[status(esa)],[c_768]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_766,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3140_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6356,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_766]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6357,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6356]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_764,plain,
% 4.54/5.81 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 4.54/5.81 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3139_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6352,plain,
% 4.54/5.81 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 4.54/5.81 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_764]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_726,plain,
% 4.54/5.81 ( 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)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3129_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6276,plain,
% 4.54/5.81 ( 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)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_726]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_723,plain,
% 4.54/5.81 ( 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)
% 4.54/5.81 | ~ c_lessequals(X0,X2,tc_nat)
% 4.54/5.81 | ~ c_lessequals(X1,X3,tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3128_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6270,plain,
% 4.54/5.81 ( 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)
% 4.54/5.81 | ~ c_lessequals(X0,X2,tc_nat)
% 4.54/5.81 | ~ c_lessequals(X1,X3,tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_723]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_719,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.81 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3127_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6262,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.81 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_719]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_713,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 4.54/5.81 | 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)) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3124_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6250,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 4.54/5.81 | 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)) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_713]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_711,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.81 | 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)) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3123_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6246,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 4.54/5.81 | 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)) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_711]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_709,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.81 | 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)) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3122_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6242,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.81 | 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)) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_709]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_707,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 4.54/5.81 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3121_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6238,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 4.54/5.81 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_707]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_705,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.81 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3120_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6234,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.81 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_705]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_703,plain,
% 4.54/5.81 ( ~ 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)
% 4.54/5.81 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3119_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6230,plain,
% 4.54/5.81 ( ~ 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)
% 4.54/5.81 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_703]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_701,plain,
% 4.54/5.81 ( ~ 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)
% 4.54/5.81 | c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3118_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6226,plain,
% 4.54/5.81 ( ~ 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)
% 4.54/5.81 | c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_701]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_699,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.81 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat),tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3117_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6222,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.81 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat),tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_699]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6223,plain,
% 4.54/5.81 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 4.54/5.81 | ~ c_lessequals(X2,X1,tc_nat) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6222]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_690,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 4.54/5.81 | ~ c_lessequals(X0,X2,tc_nat)
% 4.54/5.81 | ~ c_lessequals(X1,X3,tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3114_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6204,plain,
% 4.54/5.81 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 4.54/5.81 | ~ c_lessequals(X0,X2,tc_nat)
% 4.54/5.81 | ~ c_lessequals(X1,X3,tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_690]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_685,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 4.54/5.81 | 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) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3113_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6194,plain,
% 4.54/5.81 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 4.54/5.81 | 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) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_685]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6195,plain,
% 4.54/5.81 ( 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)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.81 | ~ c_lessequals(X1,X0,tc_nat) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6194]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_684,plain,
% 4.54/5.81 ( 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)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3112_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6192,plain,
% 4.54/5.81 ( 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)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_684]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_680,plain,
% 4.54/5.81 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 4.54/5.81 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3111_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6184,plain,
% 4.54/5.81 ( ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 4.54/5.81 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_680]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6185,plain,
% 4.54/5.81 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.81 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6184]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_668,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3107_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6160,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_668]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6161,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6160]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_665,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3106_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6154,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_665]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6155,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6154]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_657,plain,
% 4.54/5.81 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3103_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6138,plain,
% 4.54/5.81 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_657]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_655,plain,
% 4.54/5.81 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3102_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6134,plain,
% 4.54/5.81 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_655]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_653,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.81 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3101_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6130,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.81 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_653]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_651,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 4.54/5.81 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3100_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6126,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 4.54/5.81 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_651]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_649,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3099_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6122,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_649]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_647,plain,
% 4.54/5.81 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3098_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6118,plain,
% 4.54/5.81 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_647]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_645,plain,
% 4.54/5.81 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3097_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6114,plain,
% 4.54/5.81 ( ~ class_Orderings_Olinorder(X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_645]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_643,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3096_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6110,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_643]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_639,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.54/5.81 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3095_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6102,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.54/5.81 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 4.54/5.81 | 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) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_639]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6103,plain,
% 4.54/5.81 ( 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)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.81 | ~ c_lessequals(X2,X4,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6102]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_633,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.54/5.81 | 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)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3093_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6090,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 4.54/5.81 | 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)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_633]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6091,plain,
% 4.54/5.81 ( 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)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6090]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_629,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.54/5.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 4.54/5.81 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.81 | ~ c_lessequals(X2,X4,X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3092_2) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6082,plain,
% 4.54/5.81 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 4.54/5.81 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 4.54/5.81 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.81 | ~ c_lessequals(X2,X4,X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_629]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6083,plain,
% 4.54/5.81 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 4.54/5.81 | ~ c_lessequals(X1,X3,X0)
% 4.54/5.81 | ~ c_lessequals(X2,X4,X0)
% 4.54/5.81 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6082]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_625,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.81 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,tc_nat),tc_nat),X1,tc_nat) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3091_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6074,plain,
% 4.54/5.81 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.81 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,tc_nat),tc_nat),X1,tc_nat) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_625]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_623,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3090_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6070,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_623]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_603,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3085_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6030,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_603]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6031,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 4.54/5.81 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.81 inference(rewriting,[status(thm)],[c_6030]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_611,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.54/5.81 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3087_0) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6046,plain,
% 4.54/5.81 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.81 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.81 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 4.54/5.81 inference(copy,[status(esa)],[c_611]) ).
% 4.54/5.81
% 4.54/5.81 cnf(c_6047,plain,
% 4.54/5.81 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.54/5.82 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.82 inference(rewriting,[status(thm)],[c_6046]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_583,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3080_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5990,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 4.54/5.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_583]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5991,plain,
% 4.54/5.82 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 4.54/5.82 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.82 inference(rewriting,[status(thm)],[c_5990]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_579,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3079_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5982,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 4.54/5.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_579]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5983,plain,
% 4.54/5.82 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 4.54/5.82 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 4.54/5.82 inference(rewriting,[status(thm)],[c_5982]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_539,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3069_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5902,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_539]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_537,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3068_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5898,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_537]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_535,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3067_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5894,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_535]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_533,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3066_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5890,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_533]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_530,plain,
% 4.54/5.82 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.82 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3065_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5884,plain,
% 4.54/5.82 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.82 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_530]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5885,plain,
% 4.54/5.82 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 4.54/5.82 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.82 inference(rewriting,[status(thm)],[c_5884]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_512,plain,
% 4.54/5.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))
% 4.54/5.82 | X2 = X3
% 4.54/5.82 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3059_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5848,plain,
% 4.54/5.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))
% 4.54/5.82 | X2 = X3
% 4.54/5.82 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_512]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5849,plain,
% 4.54/5.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))
% 4.54/5.82 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 4.54/5.82 | X2 = X3 ),
% 4.54/5.82 inference(rewriting,[status(thm)],[c_5848]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_508,plain,
% 4.54/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.82 | 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) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3057_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5840,plain,
% 4.54/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.82 | 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) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_508]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_505,plain,
% 4.54/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X0,X2,tc_nat)
% 4.54/5.82 | 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) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3056_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5834,plain,
% 4.54/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X0,X2,tc_nat)
% 4.54/5.82 | 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) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_505]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_502,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.82 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)))
% 4.54/5.82 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3055_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5828,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.82 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)))
% 4.54/5.82 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_502]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5829,plain,
% 4.54/5.82 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 4.54/5.82 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.82 inference(rewriting,[status(thm)],[c_5828]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_499,plain,
% 4.54/5.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.82 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.82 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 4.54/5.82 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3054_1) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5822,plain,
% 4.54/5.82 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 4.54/5.82 | ~ c_lessequals(X1,X2,X0)
% 4.54/5.82 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 4.54/5.82 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_499]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5823,plain,
% 4.54/5.82 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 4.54/5.82 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 4.54/5.82 | ~ c_lessequals(X4,X3,X1)
% 4.54/5.82 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 4.54/5.82 inference(rewriting,[status(thm)],[c_5822]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_496,plain,
% 4.54/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.82 | 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) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3053_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5816,plain,
% 4.54/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.82 | 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) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_496]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_494,plain,
% 4.54/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.82 | 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) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3052_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5812,plain,
% 4.54/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.54/5.82 | 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) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_494]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_492,plain,
% 4.54/5.82 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 4.54/5.82 | c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3051_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5808,plain,
% 4.54/5.82 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 4.54/5.82 | c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_492]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_490,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3050_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5804,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_490]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_487,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.82 | 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)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3049_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5798,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.82 | 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)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_487]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5799,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 4.54/5.82 | 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) ),
% 4.54/5.82 inference(rewriting,[status(thm)],[c_5798]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_482,plain,
% 4.54/5.82 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X0,X2,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3047_3) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5788,plain,
% 4.54/5.82 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X0,X2,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_482]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_477,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.82 | 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) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3046_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5778,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.82 | 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) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_477]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_470,plain,
% 4.54/5.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.82 | 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) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3044_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5764,plain,
% 4.54/5.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.82 | 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) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_470]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_468,plain,
% 4.54/5.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.82 | 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) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3043_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5760,plain,
% 4.54/5.82 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 4.54/5.82 | 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) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_468]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_466,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3042_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5756,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_466]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_464,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 4.54/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3041_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5752,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 4.54/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_464]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_460,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3039_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5744,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_460]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_446,plain,
% 4.54/5.82 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.82 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_Divides_Odiv__class_Odiv(X1,X3,X0))
% 4.54/5.82 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3035_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5716,plain,
% 4.54/5.82 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.82 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_Divides_Odiv__class_Odiv(X1,X3,X0))
% 4.54/5.82 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_446]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_443,plain,
% 4.54/5.82 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.82 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),c_Divides_Odiv__class_Odiv(X1,X2,X0))
% 4.54/5.82 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3034_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5710,plain,
% 4.54/5.82 ( ~ class_Divides_Osemiring__div(X0)
% 4.54/5.82 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),c_Divides_Odiv__class_Odiv(X1,X2,X0))
% 4.54/5.82 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_443]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_441,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.82 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3033_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5706,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.54/5.82 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_441]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_409,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3025_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5642,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_409]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_403,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.82 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.82 | c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3023_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5630,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.82 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 4.54/5.82 | c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_403]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_400,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.82 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 4.54/5.82 | c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3022_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5624,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.54/5.82 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 4.54/5.82 | c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_400]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_353,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.82 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3010_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5530,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.82 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_353]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_350,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.82 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3009_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5524,plain,
% 4.54/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.54/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)) != c_HOL_Ozero__class_Ozero(X0)
% 4.54/5.82 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_350]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_348,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.82 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3008_0) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5520,plain,
% 4.54/5.82 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 4.54/5.82 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_348]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_342,plain,
% 4.54/5.82 ( ~ 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)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3006_2) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5508,plain,
% 4.54/5.82 ( ~ 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)
% 4.54/5.82 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_342]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_338,plain,
% 4.54/5.82 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 4.54/5.82 | c_lessequals(X0,X2,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3005_2) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_5500,plain,
% 4.54/5.82 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 4.54/5.82 | c_lessequals(X0,X2,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X0,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X2,tc_nat) ),
% 4.54/5.82 inference(copy,[status(esa)],[c_338]) ).
% 4.54/5.82
% 4.54/5.82 cnf(c_337,plain,
% 4.54/5.82 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X2,tc_nat)
% 4.54/5.82 | c_lessequals(X0,X2,tc_nat)
% 4.54/5.82 | ~ c_lessequals(X1,X0,tc_nat) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3005_1) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5498,plain,
% 4.85/5.82 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 4.85/5.82 | ~ c_lessequals(X1,X2,tc_nat)
% 4.85/5.82 | c_lessequals(X0,X2,tc_nat)
% 4.85/5.82 | ~ c_lessequals(X1,X0,tc_nat) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_337]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_336,plain,
% 4.85/5.82 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 4.85/5.82 | ~ c_lessequals(X1,X2,tc_nat)
% 4.85/5.82 | ~ c_lessequals(X1,X0,tc_nat)
% 4.85/5.82 | c_lessequals(X0,X2,tc_nat) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3005_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5496,plain,
% 4.85/5.82 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 4.85/5.82 | ~ c_lessequals(X1,X2,tc_nat)
% 4.85/5.82 | ~ c_lessequals(X1,X0,tc_nat)
% 4.85/5.82 | c_lessequals(X0,X2,tc_nat) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_336]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_334,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.85/5.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.85/5.82 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.85/5.82 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.85/5.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.85/5.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3004_4) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5492,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 4.85/5.82 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 4.85/5.82 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 4.85/5.82 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 4.85/5.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 4.85/5.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_334]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5493,plain,
% 4.85/5.82 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 4.85/5.82 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 4.85/5.82 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 4.85/5.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 4.85/5.82 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 4.85/5.82 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5492]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_298,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.85/5.82 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2998_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5420,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.85/5.82 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_298]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_296,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.85/5.82 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2997_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5416,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.85/5.82 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_296]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_290,plain,
% 4.85/5.82 ( ~ c_Type_Otyping(X0,X1,X2)
% 4.85/5.82 | c_Type_Otyping(c_Type_Oshift(X0,X3,X4,tc_Type_Otype),c_Lambda_Olift(X1,X3),X2) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2995_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5404,plain,
% 4.85/5.82 ( ~ c_Type_Otyping(X0,X1,X2)
% 4.85/5.82 | c_Type_Otyping(c_Type_Oshift(X0,X3,X4,tc_Type_Otype),c_Lambda_Olift(X1,X3),X2) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_290]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5405,plain,
% 4.85/5.82 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 4.85/5.82 | ~ c_Type_Otyping(X0,X3,X4) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5404]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_288,plain,
% 4.85/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.85/5.82 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,c_Suc(c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),tc_nat),tc_nat) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2994_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5400,plain,
% 4.85/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 4.85/5.82 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,c_Suc(c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),tc_nat),tc_nat) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_288]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_286,plain,
% 4.85/5.82 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 4.85/5.82 | 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)) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2993_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5396,plain,
% 4.85/5.82 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 4.85/5.82 | 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)) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_286]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5397,plain,
% 4.85/5.82 ( 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))
% 4.85/5.82 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5396]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_284,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.85/5.82 | 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)) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2992_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5392,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 4.85/5.82 | 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)) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_284]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_282,plain,
% 4.85/5.82 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 4.85/5.82 | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2991_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5388,plain,
% 4.85/5.82 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 4.85/5.82 | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_282]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_270,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.85/5.82 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2987_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5364,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.85/5.82 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_270]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5365,plain,
% 4.85/5.82 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 4.85/5.82 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5364]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_262,plain,
% 4.85/5.82 ( ~ class_Orderings_Olinorder(X0)
% 4.85/5.82 | 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) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2984_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5348,plain,
% 4.85/5.82 ( ~ class_Orderings_Olinorder(X0)
% 4.85/5.82 | 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) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_262]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5349,plain,
% 4.85/5.82 ( 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)
% 4.85/5.82 | ~ class_Orderings_Olinorder(X3) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5348]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_260,plain,
% 4.85/5.82 ( ~ class_Orderings_Olinorder(X0)
% 4.85/5.82 | 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) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2983_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5344,plain,
% 4.85/5.82 ( ~ class_Orderings_Olinorder(X0)
% 4.85/5.82 | 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) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_260]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5345,plain,
% 4.85/5.82 ( 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)
% 4.85/5.82 | ~ class_Orderings_Olinorder(X2) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5344]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_258,plain,
% 4.85/5.82 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 4.85/5.82 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),c_Type_Otype_OFun(X1,X3)) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2982_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5340,plain,
% 4.85/5.82 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 4.85/5.82 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),c_Type_Otype_OFun(X1,X3)) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_258]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_256,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.85/5.82 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2981_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5336,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.85/5.82 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_256]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5337,plain,
% 4.85/5.82 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.85/5.82 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5336]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_254,plain,
% 4.85/5.82 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 4.85/5.82 | 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)) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2980_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5332,plain,
% 4.85/5.82 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 4.85/5.82 | 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)) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_254]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5333,plain,
% 4.85/5.82 ( 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))
% 4.85/5.82 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5332]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_250,plain,
% 4.85/5.82 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 4.85/5.82 | hBOOL(hAPP(X0,X2)) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2978_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5324,plain,
% 4.85/5.82 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 4.85/5.82 | hBOOL(hAPP(X0,X2)) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_250]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_237,plain,
% 4.85/5.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))
% 4.85/5.82 | X0 = X2
% 4.85/5.82 | X1 = X3 ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2974_1) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5298,plain,
% 4.85/5.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))
% 4.85/5.82 | X0 = X2
% 4.85/5.82 | X1 = X3 ),
% 4.85/5.82 inference(copy,[status(esa)],[c_237]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_236,plain,
% 4.85/5.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))
% 4.85/5.82 | X1 = X3
% 4.85/5.82 | X0 = X2 ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2974_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5296,plain,
% 4.85/5.82 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))
% 4.85/5.82 | X1 = X3
% 4.85/5.82 | X0 = X2 ),
% 4.85/5.82 inference(copy,[status(esa)],[c_236]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_224,plain,
% 4.85/5.82 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 4.85/5.82 | c_Type_Otyping(X0,X1,c_Type_Otype_OFun(c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2),X3)) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2971_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5272,plain,
% 4.85/5.82 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 4.85/5.82 | c_Type_Otyping(X0,X1,c_Type_Otype_OFun(c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2),X3)) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_224]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_222,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.85/5.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2970_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5268,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.85/5.82 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_222]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5269,plain,
% 4.85/5.82 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 4.85/5.82 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5268]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_214,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Osemiring(X0)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)),X4) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2967_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5252,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Osemiring(X0)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)),X4) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_214]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_212,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.85/5.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),X0) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2966_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5248,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 4.85/5.82 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),X0) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_212]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5249,plain,
% 4.85/5.82 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),X0)
% 4.85/5.82 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5248]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_209,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oring(X0)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0)),X3) = X5 ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2965_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5242,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oring(X0)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0)),X3) = X5 ),
% 4.85/5.82 inference(copy,[status(esa)],[c_209]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5243,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oring(X0)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4) = X5
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5242]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_206,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oring(X0)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5)
% 4.85/5.82 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2964_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5236,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oring(X0)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5)
% 4.85/5.82 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_206]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_198,plain,
% 4.85/5.82 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 4.85/5.82 | hBOOL(hAPP(X0,X1)) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2961_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5220,plain,
% 4.85/5.82 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 4.85/5.82 | hBOOL(hAPP(X0,X1)) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_198]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_194,plain,
% 4.85/5.82 ( ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X2,c_Type_Otype_OAtom(X3),t_a)))
% 4.85/5.82 | hBOOL(hAPP(X0,hAPP(X1,X3))) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2959_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5212,plain,
% 4.85/5.82 ( ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X2,c_Type_Otype_OAtom(X3),t_a)))
% 4.85/5.82 | hBOOL(hAPP(X0,hAPP(X1,X3))) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_194]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5213,plain,
% 4.85/5.82 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 4.85/5.82 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5212]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_190,plain,
% 4.85/5.82 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_Suc(X3),t_a)))
% 4.85/5.82 | hBOOL(hAPP(X0,hAPP(X2,X3))) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2957_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5204,plain,
% 4.85/5.82 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_Suc(X3),t_a)))
% 4.85/5.82 | hBOOL(hAPP(X0,hAPP(X2,X3))) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_190]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5205,plain,
% 4.85/5.82 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 4.85/5.82 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5204]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_188,plain,
% 4.85/5.82 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 4.85/5.82 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2956_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5200,plain,
% 4.85/5.82 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 4.85/5.82 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_188]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_186,plain,
% 4.85/5.82 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 4.85/5.82 | c_Lambda_OdB_OVar(X0) = X1 ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2955_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5196,plain,
% 4.85/5.82 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 4.85/5.82 | c_Lambda_OdB_OVar(X0) = X1 ),
% 4.85/5.82 inference(copy,[status(esa)],[c_186]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_184,plain,
% 4.85/5.82 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 4.85/5.82 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2954_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5192,plain,
% 4.85/5.82 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 4.85/5.82 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 4.85/5.82 inference(copy,[status(esa)],[c_184]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_180,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oring(X0)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2952_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5184,plain,
% 4.85/5.82 ( ~ class_Ring__and__Field_Oring(X0)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_180]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_176,plain,
% 4.85/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2950_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5176,plain,
% 4.85/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.85/5.82 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_176]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_172,plain,
% 4.85/5.82 ( ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X2,c_Type_Otype_OFun(X3,X4),t_a)))
% 4.85/5.82 | hBOOL(hAPP(X0,hAPP(hAPP(X2,X3),X4))) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2948_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5168,plain,
% 4.85/5.82 ( ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X2,c_Type_Otype_OFun(X3,X4),t_a)))
% 4.85/5.82 | hBOOL(hAPP(X0,hAPP(hAPP(X2,X3),X4))) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_172]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5169,plain,
% 4.85/5.82 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 4.85/5.82 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,c_Type_Otype_OFun(X2,X3),t_a))) ),
% 4.85/5.82 inference(rewriting,[status(thm)],[c_5168]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_170,plain,
% 4.85/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.85/5.82 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X3),X4,tc_nat) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2947_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5164,plain,
% 4.85/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.85/5.82 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X3),X4,tc_nat) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_170]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_168,plain,
% 4.85/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.85/5.82 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X4),tc_nat) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2946_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5160,plain,
% 4.85/5.82 ( ~ c_lessequals(X0,X1,tc_nat)
% 4.85/5.82 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X4),tc_nat) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_168]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_165,plain,
% 4.85/5.82 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 4.85/5.82 | ~ c_lessequals(X0,X3,tc_nat)
% 4.85/5.82 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat) ),
% 4.85/5.82 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2945_0) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5154,plain,
% 4.85/5.82 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 4.85/5.82 | ~ c_lessequals(X0,X3,tc_nat)
% 4.85/5.82 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat) ),
% 4.85/5.82 inference(copy,[status(esa)],[c_165]) ).
% 4.85/5.82
% 4.85/5.82 cnf(c_5155,plain,
% 4.85/5.82 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 4.85/5.83 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat)
% 4.85/5.83 | ~ c_lessequals(X0,X3,tc_nat) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_5154]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_159,plain,
% 4.85/5.83 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 4.85/5.83 | ~ c_lessequals(X0,X3,tc_nat)
% 4.85/5.83 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2943_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5142,plain,
% 4.85/5.83 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 4.85/5.83 | ~ c_lessequals(X0,X3,tc_nat)
% 4.85/5.83 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_159]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5143,plain,
% 4.85/5.83 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 4.85/5.83 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat)
% 4.85/5.83 | ~ c_lessequals(X0,X3,tc_nat) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_5142]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_153,plain,
% 4.85/5.83 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.85/5.83 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 4.85/5.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0)),X3),X5,X0) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2941_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5130,plain,
% 4.85/5.83 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.85/5.83 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 4.85/5.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0)),X3),X5,X0) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_153]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5131,plain,
% 4.85/5.83 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 4.85/5.83 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0)
% 4.85/5.83 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_5130]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_147,plain,
% 4.85/5.83 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.85/5.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 4.85/5.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0)),X3),X5,X0) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2939_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5118,plain,
% 4.85/5.83 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.85/5.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 4.85/5.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0)),X3),X5,X0) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_147]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5119,plain,
% 4.85/5.83 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 4.85/5.83 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0)
% 4.85/5.83 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_5118]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_138,plain,
% 4.85/5.83 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 4.85/5.83 | ~ c_lessequals(X1,X0,tc_nat)
% 4.85/5.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2936_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5100,plain,
% 4.85/5.83 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 4.85/5.83 | ~ c_lessequals(X1,X0,tc_nat)
% 4.85/5.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_138]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5101,plain,
% 4.85/5.83 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 4.85/5.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat)
% 4.85/5.83 | ~ c_lessequals(X1,X0,tc_nat) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_5100]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_132,plain,
% 4.85/5.83 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 4.85/5.83 | ~ c_lessequals(X1,X0,tc_nat)
% 4.85/5.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2934_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5088,plain,
% 4.85/5.83 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 4.85/5.83 | ~ c_lessequals(X1,X0,tc_nat)
% 4.85/5.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_132]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5089,plain,
% 4.85/5.83 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 4.85/5.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat)
% 4.85/5.83 | ~ c_lessequals(X1,X0,tc_nat) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_5088]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_126,plain,
% 4.85/5.83 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.85/5.83 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0)),X5),X0)
% 4.85/5.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X4,X0)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X4,X0)),X5),X0) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2932_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5076,plain,
% 4.85/5.83 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.85/5.83 | ~ c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0)),X5),X0)
% 4.85/5.83 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X4,X0)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X4,X0)),X5),X0) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_126]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5077,plain,
% 4.85/5.83 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 4.85/5.83 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0)
% 4.85/5.83 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_5076]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_120,plain,
% 4.85/5.83 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.85/5.83 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0)),X5),X0)
% 4.85/5.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X4,X0)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X4,X0)),X5),X0) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2930_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5064,plain,
% 4.85/5.83 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 4.85/5.83 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X0),X4,X0)),X5),X0)
% 4.85/5.83 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X4,X0)),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X4,X0)),X5),X0) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_120]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5065,plain,
% 4.85/5.83 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 4.85/5.83 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0)
% 4.85/5.83 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_5064]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_114,plain,
% 4.85/5.83 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 4.85/5.83 | 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) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2928_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5052,plain,
% 4.85/5.83 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 4.85/5.83 | 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) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_114]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_112,plain,
% 4.85/5.83 ( 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)
% 4.85/5.83 | X0 = X2 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2927_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5048,plain,
% 4.85/5.83 ( 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)
% 4.85/5.83 | X0 = X2 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_112]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_110,plain,
% 4.85/5.83 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 4.85/5.83 | 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)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2926_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5044,plain,
% 4.85/5.83 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 4.85/5.83 | 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)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_110]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_108,plain,
% 4.85/5.83 ( 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)
% 4.85/5.83 | X0 = X2 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2925_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5040,plain,
% 4.85/5.83 ( 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)
% 4.85/5.83 | X0 = X2 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_108]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_106,plain,
% 4.85/5.83 ( 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)
% 4.85/5.83 | X1 = X3 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2924_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5036,plain,
% 4.85/5.83 ( 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)
% 4.85/5.83 | X1 = X3 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_106]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_104,plain,
% 4.85/5.83 ( 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)
% 4.85/5.83 | X0 = X2 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2923_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5032,plain,
% 4.85/5.83 ( 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)
% 4.85/5.83 | X0 = X2 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_104]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_102,plain,
% 4.85/5.83 ( 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)
% 4.85/5.83 | X1 = X3 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2922_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5028,plain,
% 4.85/5.83 ( 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)
% 4.85/5.83 | X1 = X3 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_102]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_100,plain,
% 4.85/5.83 ( ~ c_Lambda_Obeta(X0,X1)
% 4.85/5.83 | 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)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2921_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5024,plain,
% 4.85/5.83 ( ~ c_Lambda_Obeta(X0,X1)
% 4.85/5.83 | 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)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_100]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5025,plain,
% 4.85/5.83 ( 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))
% 4.85/5.83 | ~ c_Lambda_Obeta(X0,X2) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_5024]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_97,plain,
% 4.85/5.83 ( ~ c_InductTermi_OIT(X0)
% 4.85/5.83 | ~ 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))
% 4.85/5.83 | 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)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2920_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5018,plain,
% 4.85/5.83 ( ~ c_InductTermi_OIT(X0)
% 4.85/5.83 | ~ 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))
% 4.85/5.83 | 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)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_97]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5019,plain,
% 4.85/5.83 ( 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))
% 4.85/5.83 | ~ 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))
% 4.85/5.83 | ~ c_InductTermi_OIT(X1) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_5018]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_93,plain,
% 4.85/5.83 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OVar(X4),t_a)))
% 4.85/5.83 | hBOOL(hAPP(X0,hAPP(X1,X4))) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2918_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5010,plain,
% 4.85/5.83 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OVar(X4),t_a)))
% 4.85/5.83 | hBOOL(hAPP(X0,hAPP(X1,X4))) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_93]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5011,plain,
% 4.85/5.83 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 4.85/5.83 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_5010]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_89,plain,
% 4.85/5.83 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OAbs(X4),t_a)))
% 4.85/5.83 | hBOOL(hAPP(X0,hAPP(X3,X4))) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2916_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5002,plain,
% 4.85/5.83 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,c_Lambda_OdB_OAbs(X4),t_a)))
% 4.85/5.83 | hBOOL(hAPP(X0,hAPP(X3,X4))) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_89]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_5003,plain,
% 4.85/5.83 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 4.85/5.83 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_5002]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_86,plain,
% 4.85/5.83 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 4.85/5.83 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 4.85/5.83 | X4 = X3 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2915_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4996,plain,
% 4.85/5.83 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 4.85/5.83 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 4.85/5.83 | X4 = X3 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_86]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_82,plain,
% 4.85/5.83 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X5),t_a)))
% 4.85/5.83 | hBOOL(hAPP(X0,hAPP(hAPP(X2,X4),X5))) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2913_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4988,plain,
% 4.85/5.83 ( ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X2,X3,hAPP(hAPP(c_Lambda_OdB_OApp,X4),X5),t_a)))
% 4.85/5.83 | hBOOL(hAPP(X0,hAPP(hAPP(X2,X4),X5))) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_82]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4989,plain,
% 4.85/5.83 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 4.85/5.83 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 4.85/5.83 inference(rewriting,[status(thm)],[c_4988]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_78,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2911_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4980,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_78]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_74,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2909_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4972,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_74]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_70,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2907_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4964,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_70]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_68,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2906_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4960,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_68]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_66,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2905_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4956,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_66]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_64,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2904_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4952,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_64]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_62,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2903_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4948,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 4.85/5.83 inference(copy,[status(esa)],[c_62]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_56,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2900_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4936,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_56]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_54,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2899_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4932,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_54]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_48,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2896_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4920,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_48]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_46,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2895_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4916,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_46]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_44,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2894_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4912,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_44]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_42,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2893_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4908,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_42]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_40,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2892_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4904,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_40]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_38,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2891_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4900,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_38]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_28,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2886_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4880,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_28]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_26,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2885_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4876,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_26]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_24,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),c_HOL_Otimes__class_Otimes(X7,X8,tc_nat)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2884_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4872,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),c_HOL_Otimes__class_Otimes(X7,X8,tc_nat)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_24]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_22,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2883_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4868,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_22]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_20,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2882_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4864,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_20]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_18,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2881_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4860,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_18]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_16,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2880_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4856,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_16]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_14,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | 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)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2879_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4852,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | 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)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_14]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_10,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2877_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4844,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_10]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_8,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2876_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4840,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_8]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_6,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | 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)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2875_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4836,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | 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)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_6]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | 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))) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2874_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4832,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | 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))) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_4]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_2,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | 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)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2873_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4828,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | 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)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_2]) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_0,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | 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)) ),
% 4.85/5.83 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_2872_0) ).
% 4.85/5.83
% 4.85/5.83 cnf(c_4824,plain,
% 4.85/5.83 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 4.85/5.83 | 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)) ),
% 4.85/5.83 inference(copy,[status(esa)],[c_0]) ).
% 4.85/5.83
% 4.85/5.83
% 4.85/5.83
% 4.85/5.83 % ------ Statistics
% 4.85/5.83
% 4.85/5.83 % ------ General
% 4.85/5.83
% 4.85/5.83 % num_of_input_clauses: 2195
% 4.85/5.83 % num_of_input_neg_conjectures: 1
% 4.85/5.83 % num_of_splits: 0
% 4.85/5.83 % num_of_split_atoms: 0
% 4.85/5.83 % num_of_sem_filtered_clauses: 0
% 4.85/5.83 % num_of_subtypes: 0
% 4.85/5.83 % monotx_restored_types: 0
% 4.85/5.83 % sat_num_of_epr_types: 0
% 4.85/5.83 % sat_num_of_non_cyclic_types: 0
% 4.85/5.83 % sat_guarded_non_collapsed_types: 0
% 4.85/5.83 % is_epr: 0
% 4.85/5.83 % is_horn: 0
% 4.85/5.83 % has_eq: 1
% 4.85/5.83 % num_pure_diseq_elim: 0
% 4.85/5.83 % simp_replaced_by: 0
% 4.85/5.83 % res_preprocessed: 2
% 4.85/5.83 % prep_upred: 0
% 4.85/5.83 % prep_unflattend: 0
% 4.85/5.83 % pred_elim_cands: 0
% 4.85/5.83 % pred_elim: 0
% 4.85/5.83 % pred_elim_cl: 0
% 4.85/5.83 % pred_elim_cycles: 0
% 4.85/5.83 % forced_gc_time: 0
% 4.85/5.83 % gc_basic_clause_elim: 0
% 4.85/5.83 % parsing_time: 0.117
% 4.85/5.83 % sem_filter_time: 0.
% 4.85/5.83 % pred_elim_time: 0.
% 4.85/5.83 % out_proof_time: 0.
% 4.85/5.83 % monotx_time: 0.
% 4.85/5.83 % subtype_inf_time: 0.
% 4.85/5.83 % unif_index_cands_time: 0.
% 4.85/5.83 % unif_index_add_time: 0.001
% 4.85/5.83 % total_time: 5.249
% 4.85/5.83 % num_of_symbols: 142
% 4.85/5.83 % num_of_terms: 5694
% 4.85/5.83
% 4.85/5.83 % ------ Propositional Solver
% 4.85/5.83
% 4.85/5.83 % prop_solver_calls: 1
% 4.85/5.83 % prop_fast_solver_calls: 3
% 4.85/5.83 % prop_num_of_clauses: 1798
% 4.85/5.83 % prop_preprocess_simplified: 6886
% 4.85/5.83 % prop_fo_subsumed: 0
% 4.85/5.83 % prop_solver_time: 0.
% 4.85/5.83 % prop_fast_solver_time: 0.
% 4.85/5.83 % prop_unsat_core_time: 0.
% 4.85/5.83
% 4.85/5.83 % ------ QBF
% 4.85/5.83
% 4.85/5.83 % qbf_q_res: 0
% 4.85/5.83 % qbf_num_tautologies: 0
% 4.85/5.83 % qbf_prep_cycles: 0
% 4.85/5.83
% 4.85/5.83 % ------ BMC1
% 4.85/5.83
% 4.85/5.83 % bmc1_current_bound: -1
% 4.85/5.83 % bmc1_last_solved_bound: -1
% 4.85/5.83 % bmc1_unsat_core_size: -1
% 4.85/5.83 % bmc1_unsat_core_parents_size: -1
% 4.85/5.83 % bmc1_merge_next_fun: 0
% 4.85/5.83 % bmc1_unsat_core_clauses_time: 0.
% 4.85/5.83
% 4.85/5.83 % ------ Instantiation
% 4.85/5.83
% 4.85/5.83 % inst_num_of_clauses: 1925
% 4.85/5.83 % inst_num_in_passive: 0
% 4.85/5.83 % inst_num_in_active: 0
% 4.85/5.83 % inst_num_in_unprocessed: 2195
% 4.85/5.83 % inst_num_of_loops: 0
% 4.85/5.83 % inst_num_of_learning_restarts: 0
% 4.85/5.83 % inst_num_moves_active_passive: 0
% 4.85/5.83 % inst_lit_activity: 0
% 4.85/5.83 % inst_lit_activity_moves: 0
% 4.85/5.83 % inst_num_tautologies: 0
% 4.85/5.83 % inst_num_prop_implied: 0
% 4.85/5.83 % inst_num_existing_simplified: 0
% 4.85/5.83 % inst_num_eq_res_simplified: 0
% 4.85/5.83 % inst_num_child_elim: 0
% 4.85/5.83 % inst_num_of_dismatching_blockings: 0
% 4.85/5.83 % inst_num_of_non_proper_insts: 0
% 4.85/5.83 % inst_num_of_duplicates: 0
% 4.85/5.83 % inst_inst_num_from_inst_to_res: 0
% 4.85/5.83 % inst_dismatching_checking_time: 0.
% 4.85/5.83
% 4.85/5.83 % ------ Resolution
% 4.85/5.83
% 4.85/5.83 % res_num_of_clauses: 2167
% 4.85/5.83 % res_num_in_passive: 0
% 4.85/5.83 % res_num_in_active: 796
% 4.85/5.83 % res_num_of_loops: 3
% 4.85/5.83 % res_forward_subset_subsumed: 1310
% 4.85/5.83 % res_backward_subset_subsumed: 5
% 4.85/5.83 % res_forward_subsumed: 1
% 4.85/5.83 % res_backward_subsumed: 0
% 4.85/5.83 % res_forward_subsumption_resolution: 0
% 4.85/5.83 % res_backward_subsumption_resolution: 0
% 4.85/5.83 % res_clause_to_clause_subsumption: 1
% 4.85/5.83 % res_orphan_elimination: 0
% 4.85/5.83 % res_tautology_del: 0
% 4.85/5.83 % res_num_eq_res_simplified: 0
% 4.85/5.83 % res_num_sel_changes: 0
% 4.85/5.83 % res_moves_from_active_to_pass: 0
% 4.85/5.83
% 4.85/5.84 % Status Unknown
% 4.91/6.04 % Orienting using strategy ClausalAll
% 4.91/6.04 % Orientation found
% 4.91/6.04 % 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_efd6df.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_17b86b | grep -v "SZS"
% 4.91/6.07
% 4.91/6.07 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 4.91/6.07
% 4.91/6.07 %
% 4.91/6.07 % ------ iProver source info
% 4.91/6.07
% 4.91/6.07 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 4.91/6.07 % git: non_committed_changes: true
% 4.91/6.07 % git: last_make_outside_of_git: true
% 4.91/6.07
% 4.91/6.07 %
% 4.91/6.07 % ------ Input Options
% 4.91/6.07
% 4.91/6.07 % --out_options all
% 4.91/6.07 % --tptp_safe_out true
% 4.91/6.07 % --problem_path ""
% 4.91/6.07 % --include_path ""
% 4.91/6.07 % --clausifier .//eprover
% 4.91/6.07 % --clausifier_options --tstp-format
% 4.91/6.07 % --stdin false
% 4.91/6.07 % --dbg_backtrace false
% 4.91/6.07 % --dbg_dump_prop_clauses false
% 4.91/6.07 % --dbg_dump_prop_clauses_file -
% 4.91/6.07 % --dbg_out_stat false
% 4.91/6.07
% 4.91/6.07 % ------ General Options
% 4.91/6.07
% 4.91/6.07 % --fof false
% 4.91/6.07 % --time_out_real 150.
% 4.91/6.07 % --time_out_prep_mult 0.2
% 4.91/6.07 % --time_out_virtual -1.
% 4.91/6.07 % --schedule none
% 4.91/6.07 % --ground_splitting input
% 4.91/6.07 % --splitting_nvd 16
% 4.91/6.07 % --non_eq_to_eq false
% 4.91/6.07 % --prep_gs_sim true
% 4.91/6.07 % --prep_unflatten false
% 4.91/6.07 % --prep_res_sim true
% 4.91/6.07 % --prep_upred true
% 4.91/6.07 % --res_sim_input true
% 4.91/6.07 % --clause_weak_htbl true
% 4.91/6.07 % --gc_record_bc_elim false
% 4.91/6.07 % --symbol_type_check false
% 4.91/6.07 % --clausify_out false
% 4.91/6.07 % --large_theory_mode false
% 4.91/6.07 % --prep_sem_filter none
% 4.91/6.07 % --prep_sem_filter_out false
% 4.91/6.07 % --preprocessed_out false
% 4.91/6.07 % --sub_typing false
% 4.91/6.07 % --brand_transform false
% 4.91/6.07 % --pure_diseq_elim true
% 4.91/6.07 % --min_unsat_core false
% 4.91/6.07 % --pred_elim true
% 4.91/6.07 % --add_important_lit false
% 4.91/6.07 % --soft_assumptions false
% 4.91/6.07 % --reset_solvers false
% 4.91/6.07 % --bc_imp_inh []
% 4.91/6.07 % --conj_cone_tolerance 1.5
% 4.91/6.07 % --prolific_symb_bound 500
% 4.91/6.07 % --lt_threshold 2000
% 4.91/6.07
% 4.91/6.07 % ------ SAT Options
% 4.91/6.07
% 4.91/6.07 % --sat_mode false
% 4.91/6.07 % --sat_fm_restart_options ""
% 4.91/6.07 % --sat_gr_def false
% 4.91/6.07 % --sat_epr_types true
% 4.91/6.07 % --sat_non_cyclic_types false
% 4.91/6.07 % --sat_finite_models false
% 4.91/6.07 % --sat_fm_lemmas false
% 4.91/6.07 % --sat_fm_prep false
% 4.91/6.07 % --sat_fm_uc_incr true
% 4.91/6.07 % --sat_out_model small
% 4.91/6.07 % --sat_out_clauses false
% 4.91/6.07
% 4.91/6.07 % ------ QBF Options
% 4.91/6.07
% 4.91/6.07 % --qbf_mode false
% 4.91/6.07 % --qbf_elim_univ true
% 4.91/6.07 % --qbf_sk_in true
% 4.91/6.07 % --qbf_pred_elim true
% 4.91/6.07 % --qbf_split 32
% 4.91/6.07
% 4.91/6.07 % ------ BMC1 Options
% 4.91/6.07
% 4.91/6.07 % --bmc1_incremental false
% 4.91/6.07 % --bmc1_axioms reachable_all
% 4.91/6.07 % --bmc1_min_bound 0
% 4.91/6.07 % --bmc1_max_bound -1
% 4.91/6.07 % --bmc1_max_bound_default -1
% 4.91/6.07 % --bmc1_symbol_reachability true
% 4.91/6.07 % --bmc1_property_lemmas false
% 4.91/6.07 % --bmc1_k_induction false
% 4.91/6.07 % --bmc1_non_equiv_states false
% 4.91/6.07 % --bmc1_deadlock false
% 4.91/6.07 % --bmc1_ucm false
% 4.91/6.07 % --bmc1_add_unsat_core none
% 4.91/6.07 % --bmc1_unsat_core_children false
% 4.91/6.07 % --bmc1_unsat_core_extrapolate_axioms false
% 4.91/6.07 % --bmc1_out_stat full
% 4.91/6.07 % --bmc1_ground_init false
% 4.91/6.07 % --bmc1_pre_inst_next_state false
% 4.91/6.07 % --bmc1_pre_inst_state false
% 4.91/6.07 % --bmc1_pre_inst_reach_state false
% 4.91/6.07 % --bmc1_out_unsat_core false
% 4.91/6.07 % --bmc1_aig_witness_out false
% 4.91/6.07 % --bmc1_verbose false
% 4.91/6.07 % --bmc1_dump_clauses_tptp false
% 8.34/9.38 % --bmc1_dump_unsat_core_tptp false
% 8.34/9.38 % --bmc1_dump_file -
% 8.34/9.38 % --bmc1_ucm_expand_uc_limit 128
% 8.34/9.38 % --bmc1_ucm_n_expand_iterations 6
% 8.34/9.38 % --bmc1_ucm_extend_mode 1
% 8.34/9.38 % --bmc1_ucm_init_mode 2
% 8.34/9.38 % --bmc1_ucm_cone_mode none
% 8.34/9.38 % --bmc1_ucm_reduced_relation_type 0
% 8.34/9.38 % --bmc1_ucm_relax_model 4
% 8.34/9.38 % --bmc1_ucm_full_tr_after_sat true
% 8.34/9.38 % --bmc1_ucm_expand_neg_assumptions false
% 8.34/9.38 % --bmc1_ucm_layered_model none
% 8.34/9.38 % --bmc1_ucm_max_lemma_size 10
% 8.34/9.38
% 8.34/9.38 % ------ AIG Options
% 8.34/9.38
% 8.34/9.38 % --aig_mode false
% 8.34/9.38
% 8.34/9.38 % ------ Instantiation Options
% 8.34/9.38
% 8.34/9.38 % --instantiation_flag true
% 8.34/9.38 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 8.34/9.38 % --inst_solver_per_active 750
% 8.34/9.38 % --inst_solver_calls_frac 0.5
% 8.34/9.38 % --inst_passive_queue_type priority_queues
% 8.34/9.38 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 8.34/9.38 % --inst_passive_queues_freq [25;2]
% 8.34/9.38 % --inst_dismatching true
% 8.34/9.38 % --inst_eager_unprocessed_to_passive true
% 8.34/9.38 % --inst_prop_sim_given true
% 8.34/9.38 % --inst_prop_sim_new false
% 8.34/9.38 % --inst_orphan_elimination true
% 8.34/9.38 % --inst_learning_loop_flag true
% 8.34/9.38 % --inst_learning_start 3000
% 8.34/9.38 % --inst_learning_factor 2
% 8.34/9.38 % --inst_start_prop_sim_after_learn 3
% 8.34/9.38 % --inst_sel_renew solver
% 8.34/9.38 % --inst_lit_activity_flag true
% 8.34/9.38 % --inst_out_proof true
% 8.34/9.38
% 8.34/9.38 % ------ Resolution Options
% 8.34/9.38
% 8.34/9.38 % --resolution_flag true
% 8.34/9.38 % --res_lit_sel kbo_max
% 8.34/9.38 % --res_to_prop_solver none
% 8.34/9.38 % --res_prop_simpl_new false
% 8.34/9.38 % --res_prop_simpl_given false
% 8.34/9.38 % --res_passive_queue_type priority_queues
% 8.34/9.38 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 8.34/9.38 % --res_passive_queues_freq [15;5]
% 8.34/9.38 % --res_forward_subs full
% 8.34/9.38 % --res_backward_subs full
% 8.34/9.38 % --res_forward_subs_resolution true
% 8.34/9.38 % --res_backward_subs_resolution true
% 8.34/9.38 % --res_orphan_elimination false
% 8.34/9.38 % --res_time_limit 1000.
% 8.34/9.38 % --res_out_proof true
% 8.34/9.38 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_efd6df.s
% 8.34/9.38 % --modulo true
% 8.34/9.38
% 8.34/9.38 % ------ Combination Options
% 8.34/9.38
% 8.34/9.38 % --comb_res_mult 1000
% 8.34/9.38 % --comb_inst_mult 300
% 8.34/9.38 % ------
% 8.34/9.38
% 8.34/9.38 % ------ Parsing...% successful
% 8.34/9.38
% 8.34/9.38 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 8.34/9.38
% 8.34/9.38 % ------ Proving...
% 8.34/9.38 % ------ Problem Properties
% 8.34/9.38
% 8.34/9.38 %
% 8.34/9.38 % EPR false
% 8.34/9.38 % Horn false
% 8.34/9.38 % Has equality true
% 8.34/9.38
% 8.34/9.38 % % ------ Input Options Time Limit: Unbounded
% 8.34/9.38
% 8.34/9.38
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 Compiling...
% 8.34/9.38 Loading plugin: done.
% 8.34/9.38 % % ------ Current options:
% 8.34/9.38
% 8.34/9.38 % ------ Input Options
% 8.34/9.38
% 8.34/9.38 % --out_options all
% 8.34/9.38 % --tptp_safe_out true
% 8.34/9.38 % --problem_path ""
% 8.34/9.38 % --include_path ""
% 8.34/9.38 % --clausifier .//eprover
% 8.34/9.38 % --clausifier_options --tstp-format
% 8.34/9.38 % --stdin false
% 8.34/9.38 % --dbg_backtrace false
% 8.34/9.38 % --dbg_dump_prop_clauses false
% 8.34/9.38 % --dbg_dump_prop_clauses_file -
% 8.34/9.38 % --dbg_out_stat false
% 8.34/9.38
% 8.34/9.38 % ------ General Options
% 8.34/9.38
% 8.34/9.38 % --fof false
% 8.34/9.38 % --time_out_real 150.
% 8.34/9.38 % --time_out_prep_mult 0.2
% 8.34/9.38 % --time_out_virtual -1.
% 8.34/9.38 % --schedule none
% 8.34/9.38 % --ground_splitting input
% 8.34/9.38 % --splitting_nvd 16
% 8.34/9.38 % --non_eq_to_eq false
% 8.34/9.38 % --prep_gs_sim true
% 8.34/9.38 % --prep_unflatten false
% 8.34/9.38 % --prep_res_sim true
% 8.34/9.38 % --prep_upred true
% 8.34/9.38 % --res_sim_input true
% 8.34/9.38 % --clause_weak_htbl true
% 8.34/9.38 % --gc_record_bc_elim false
% 8.34/9.38 % --symbol_type_check false
% 8.34/9.38 % --clausify_out false
% 8.34/9.38 % --large_theory_mode false
% 8.34/9.38 % --prep_sem_filter none
% 8.34/9.38 % --prep_sem_filter_out false
% 8.34/9.38 % --preprocessed_out false
% 8.34/9.38 % --sub_typing false
% 8.34/9.38 % --brand_transform false
% 8.34/9.38 % --pure_diseq_elim true
% 8.34/9.38 % --min_unsat_core false
% 8.34/9.38 % --pred_elim true
% 8.34/9.38 % --add_important_lit false
% 8.34/9.38 % --soft_assumptions false
% 8.34/9.38 % --reset_solvers false
% 8.34/9.38 % --bc_imp_inh []
% 8.34/9.38 % --conj_cone_tolerance 1.5
% 8.34/9.38 % --prolific_symb_bound 500
% 8.34/9.38 % --lt_threshold 2000
% 8.34/9.38
% 8.34/9.38 % ------ SAT Options
% 8.34/9.38
% 8.34/9.38 % --sat_mode false
% 8.34/9.38 % --sat_fm_restart_options ""
% 8.34/9.38 % --sat_gr_def false
% 8.34/9.38 % --sat_epr_types true
% 8.34/9.38 % --sat_non_cyclic_types false
% 8.34/9.38 % --sat_finite_models false
% 8.34/9.38 % --sat_fm_lemmas false
% 8.34/9.38 % --sat_fm_prep false
% 8.34/9.38 % --sat_fm_uc_incr true
% 8.34/9.38 % --sat_out_model small
% 8.34/9.38 % --sat_out_clauses false
% 8.34/9.38
% 8.34/9.38 % ------ QBF Options
% 8.34/9.38
% 8.34/9.38 % --qbf_mode false
% 8.34/9.38 % --qbf_elim_univ true
% 8.34/9.38 % --qbf_sk_in true
% 8.34/9.38 % --qbf_pred_elim true
% 8.34/9.38 % --qbf_split 32
% 8.34/9.38
% 8.34/9.38 % ------ BMC1 Options
% 8.34/9.38
% 8.34/9.38 % --bmc1_incremental false
% 8.34/9.38 % --bmc1_axioms reachable_all
% 8.34/9.38 % --bmc1_min_bound 0
% 8.34/9.38 % --bmc1_max_bound -1
% 8.34/9.38 % --bmc1_max_bound_default -1
% 8.34/9.38 % --bmc1_symbol_reachability true
% 8.34/9.38 % --bmc1_property_lemmas false
% 8.34/9.38 % --bmc1_k_induction false
% 8.34/9.38 % --bmc1_non_equiv_states false
% 8.34/9.38 % --bmc1_deadlock false
% 8.34/9.38 % --bmc1_ucm false
% 8.34/9.38 % --bmc1_add_unsat_core none
% 8.34/9.38 % --bmc1_unsat_core_children false
% 8.34/9.38 % --bmc1_unsat_core_extrapolate_axioms false
% 8.34/9.38 % --bmc1_out_stat full
% 8.34/9.38 % --bmc1_ground_init false
% 8.34/9.38 % --bmc1_pre_inst_next_state false
% 8.34/9.38 % --bmc1_pre_inst_state false
% 8.34/9.38 % --bmc1_pre_inst_reach_state false
% 8.34/9.38 % --bmc1_out_unsat_core false
% 8.34/9.38 % --bmc1_aig_witness_out false
% 8.34/9.38 % --bmc1_verbose false
% 8.34/9.38 % --bmc1_dump_clauses_tptp false
% 8.34/9.38 % --bmc1_dump_unsat_core_tptp false
% 8.34/9.38 % --bmc1_dump_file -
% 8.34/9.38 % --bmc1_ucm_expand_uc_limit 128
% 8.34/9.38 % --bmc1_ucm_n_expand_iterations 6
% 8.34/9.38 % --bmc1_ucm_extend_mode 1
% 8.34/9.38 % --bmc1_ucm_init_mode 2
% 8.34/9.38 % --bmc1_ucm_cone_mode none
% 8.34/9.38 % --bmc1_ucm_reduced_relation_type 0
% 8.34/9.38 % --bmc1_ucm_relax_model 4
% 8.34/9.38 % --bmc1_ucm_full_tr_after_sat true
% 8.34/9.38 % --bmc1_ucm_expand_neg_assumptions false
% 8.34/9.38 % --bmc1_ucm_layered_model none
% 8.34/9.38 % --bmc1_ucm_max_lemma_size 10
% 8.34/9.38
% 8.34/9.38 % ------ AIG Options
% 8.34/9.38
% 8.34/9.38 % --aig_mode false
% 8.34/9.38
% 8.34/9.38 % ------ Instantiation Options
% 8.34/9.38
% 8.34/9.38 % --instantiation_flag true
% 8.34/9.38 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 8.34/9.38 % --inst_solver_per_active 750
% 8.34/9.38 % --inst_solver_calls_frac 0.5
% 8.34/9.38 % --inst_passive_queue_type priority_queues
% 8.34/9.38 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 8.34/9.38 % --inst_passive_queues_freq [25;2]
% 8.34/9.38 % --inst_dismatching true
% 8.34/9.38 % --inst_eager_unprocessed_to_passive true
% 8.34/9.38 % --inst_prop_sim_given true
% 8.34/9.38 % --inst_prop_sim_new false
% 8.34/9.38 % --inst_orphan_elimination true
% 8.34/9.38 % --inst_learning_loop_flag true
% 8.34/9.38 % --inst_learning_start 3000
% 8.34/9.38 % --inst_learning_factor 2
% 8.34/9.38 % --inst_start_prop_sim_after_learn 3
% 8.34/9.38 % --inst_sel_renew solver
% 8.34/9.38 % --inst_lit_activity_flag true
% 8.34/9.38 % --inst_out_proof true
% 8.34/9.38
% 8.34/9.38 % ------ Resolution Options
% 8.34/9.38
% 8.34/9.38 % --resolution_flag true
% 8.34/9.38 % --res_lit_sel kbo_max
% 8.34/9.38 % --res_to_prop_solver none
% 8.34/9.38 % --res_prop_simpl_new false
% 8.34/9.38 % --res_prop_simpl_given false
% 8.34/9.38 % --res_passive_queue_type priority_queues
% 8.34/9.38 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 8.34/9.38 % --res_passive_queues_freq [15;5]
% 8.34/9.38 % --res_forward_subs full
% 8.34/9.38 % --res_backward_subs full
% 8.34/9.38 % --res_forward_subs_resolution true
% 8.34/9.38 % --res_backward_subs_resolution true
% 8.34/9.38 % --res_orphan_elimination false
% 8.34/9.38 % --res_time_limit 1000.
% 8.34/9.38 % --res_out_proof true
% 8.34/9.38 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_efd6df.s
% 8.34/9.38 % --modulo true
% 8.34/9.38
% 8.34/9.38 % ------ Combination Options
% 8.34/9.38
% 8.34/9.38 % --comb_res_mult 1000
% 8.34/9.38 % --comb_inst_mult 300
% 8.34/9.38 % ------
% 8.34/9.38
% 8.34/9.38
% 8.34/9.38
% 8.34/9.38 % ------ Proving...
% 8.34/9.38 % warning: shown sat in sat incomplete mode
% 8.34/9.38 %
% 8.34/9.38
% 8.34/9.38
% 8.34/9.38
% 8.34/9.38
% 8.34/9.38 cnf(c_2105,plain,
% 8.34/9.38 ( X0 = X1
% 8.34/9.38 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 8.34/9.38 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3648_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_9107,plain,
% 8.34/9.38 ( X0 = X1
% 8.34/9.38 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 8.34/9.38 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_2105]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_9108,plain,
% 8.34/9.38 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 8.34/9.38 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 8.34/9.38 | X3 = X4 ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_9107]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_2071,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0)),X3),X5,X0)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3665_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_9039,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0)),X3),X5,X0)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_2071]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_9040,plain,
% 8.34/9.38 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 8.34/9.38 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_9039]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_2065,plain,
% 8.34/9.38 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 8.34/9.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0)),X3),X5,X0)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3667_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_9027,plain,
% 8.34/9.38 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 8.34/9.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X4,X0),X2,X0)),X3),X5,X0)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_2065]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_9028,plain,
% 8.34/9.38 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 8.34/9.38 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_9027]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_2059,plain,
% 8.34/9.38 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 8.34/9.38 | ~ c_lessequals(X0,X3,tc_nat)
% 8.34/9.38 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3669_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_9015,plain,
% 8.34/9.38 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 8.34/9.38 | ~ c_lessequals(X0,X3,tc_nat)
% 8.34/9.38 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_2059]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_9016,plain,
% 8.34/9.38 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 8.34/9.38 | ~ c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat)
% 8.34/9.38 | ~ c_lessequals(X0,X3,tc_nat) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_9015]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_2053,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 8.34/9.38 | ~ c_lessequals(X0,X3,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3671_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_9003,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 8.34/9.38 | ~ c_lessequals(X0,X3,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_2053]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_9004,plain,
% 8.34/9.38 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.38 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_9003]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_2050,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 8.34/9.38 | ~ c_lessequals(X3,X0,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat)),X2),X4,tc_nat) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3672_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8997,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 8.34/9.38 | ~ c_lessequals(X3,X0,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat)),X2),X4,tc_nat) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_2050]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8998,plain,
% 8.34/9.38 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 8.34/9.38 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8997]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_2044,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)),X5),X1)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),X5),X1)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3674_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8985,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)),X5),X1)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),X5),X1)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_2044]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8986,plain,
% 8.34/9.38 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 8.34/9.38 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8985]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_2038,plain,
% 8.34/9.38 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)),X5),X1)
% 8.34/9.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),X5),X1)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3676_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8973,plain,
% 8.34/9.38 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)),X5),X1)
% 8.34/9.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),X5),X1)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_2038]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8974,plain,
% 8.34/9.38 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 8.34/9.38 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8973]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_2032,plain,
% 8.34/9.38 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 8.34/9.38 | ~ c_lessequals(X1,X0,tc_nat)
% 8.34/9.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3678_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8961,plain,
% 8.34/9.38 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 8.34/9.38 | ~ c_lessequals(X1,X0,tc_nat)
% 8.34/9.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_2032]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8962,plain,
% 8.34/9.38 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 8.34/9.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat)
% 8.34/9.38 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8961]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_2029,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),X4),tc_nat)
% 8.34/9.38 | ~ c_lessequals(X2,X1,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3679_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8955,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),X4),tc_nat)
% 8.34/9.38 | ~ c_lessequals(X2,X1,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_2029]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8956,plain,
% 8.34/9.38 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat)
% 8.34/9.38 | c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8955]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_2026,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 8.34/9.38 | ~ c_lessequals(X1,X0,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3680_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8949,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 8.34/9.38 | ~ c_lessequals(X1,X0,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_2026]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8950,plain,
% 8.34/9.38 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.38 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X4),tc_nat) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8949]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1991,plain,
% 8.34/9.38 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),X4)
% 8.34/9.38 | ~ c_lessequals(X2,X1,tc_nat)
% 8.34/9.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X4) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3699_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8879,plain,
% 8.34/9.38 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),X4)
% 8.34/9.38 | ~ c_lessequals(X2,X1,tc_nat)
% 8.34/9.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X4) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1991]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8880,plain,
% 8.34/9.38 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4)
% 8.34/9.38 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X4) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8879]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1988,plain,
% 8.34/9.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3) = X4
% 8.34/9.38 | ~ c_lessequals(X1,X0,tc_nat)
% 8.34/9.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3700_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8873,plain,
% 8.34/9.38 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3) = X4
% 8.34/9.38 | ~ c_lessequals(X1,X0,tc_nat)
% 8.34/9.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1988]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8874,plain,
% 8.34/9.38 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X3) = X4
% 8.34/9.38 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X4) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8873]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1975,plain,
% 8.34/9.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.34/9.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X0,X0,X1)),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3708_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8847,plain,
% 8.34/9.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.34/9.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X0,X0,X1)),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1975]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8848,plain,
% 8.34/9.38 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.38 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8847]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1972,plain,
% 8.34/9.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.34/9.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X0,X0,X1)),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3709_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8841,plain,
% 8.34/9.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.34/9.38 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X0,X0,X1)),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1972]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8842,plain,
% 8.34/9.38 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.38 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8841]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1949,plain,
% 8.34/9.38 ( c_Type_Otyping(X0,c_Lambda_Osubst(X1,X2,X3),X4)
% 8.34/9.38 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 8.34/9.38 | ~ c_Type_Otyping(X0,X2,X5) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3719_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8795,plain,
% 8.34/9.38 ( c_Type_Otyping(X0,c_Lambda_Osubst(X1,X2,X3),X4)
% 8.34/9.38 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 8.34/9.38 | ~ c_Type_Otyping(X0,X2,X5) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1949]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8796,plain,
% 8.34/9.38 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 8.34/9.38 | c_Type_Otyping(X0,c_Lambda_Osubst(X3,X5,X1),X4)
% 8.34/9.38 | ~ c_Type_Otyping(X0,X5,X2) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8795]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1946,plain,
% 8.34/9.38 ( ~ c_Type_Otyping(X0,X1,X2)
% 8.34/9.38 | ~ c_InductTermi_OIT(X1)
% 8.34/9.38 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X1,X4))
% 8.34/9.38 | ~ c_InductTermi_OIT(X3)
% 8.34/9.38 | ~ c_Type_Otyping(c_Type_Oshift(X0,X4,X2,tc_Type_Otype),X3,X5) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3720_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8789,plain,
% 8.34/9.38 ( ~ c_Type_Otyping(X0,X1,X2)
% 8.34/9.38 | ~ c_InductTermi_OIT(X1)
% 8.34/9.38 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X1,X4))
% 8.34/9.38 | ~ c_InductTermi_OIT(X3)
% 8.34/9.38 | ~ c_Type_Otyping(c_Type_Oshift(X0,X4,X2,tc_Type_Otype),X3,X5) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1946]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8790,plain,
% 8.34/9.38 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 8.34/9.38 | ~ c_InductTermi_OIT(X1)
% 8.34/9.38 | ~ c_InductTermi_OIT(X0)
% 8.34/9.38 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 8.34/9.38 | ~ c_Type_Otyping(X3,X1,X4) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8789]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1944,plain,
% 8.34/9.38 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 8.34/9.38 | ~ c_InductTermi_OIT(X0)
% 8.34/9.38 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 8.34/9.38 | ~ c_InductTermi_OIT(X1)
% 8.34/9.38 | ~ c_Type_Otyping(X3,X1,X4) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3720_4) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8785,plain,
% 8.34/9.38 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 8.34/9.38 | ~ c_InductTermi_OIT(X0)
% 8.34/9.38 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 8.34/9.38 | ~ c_InductTermi_OIT(X1)
% 8.34/9.38 | ~ c_Type_Otyping(X3,X1,X4) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1944]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8786,plain,
% 8.34/9.38 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 8.34/9.38 | ~ c_InductTermi_OIT(X0)
% 8.34/9.38 | ~ c_InductTermi_OIT(X1)
% 8.34/9.38 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 8.34/9.38 | ~ c_Type_Otyping(X3,X1,X4) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8785]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1927,plain,
% 8.34/9.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.34/9.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X0,X0,X1)),X1)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3728_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8751,plain,
% 8.34/9.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.34/9.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X0,X0,X1)),X1)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1927]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8752,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.38 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8751]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1924,plain,
% 8.34/9.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.34/9.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X0,X0,X1)),c_HOL_Otimes__class_Otimes(X2,X2,X1)),X1)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3729_2) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8745,plain,
% 8.34/9.38 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.34/9.38 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X0,X0,X1)),c_HOL_Otimes__class_Otimes(X2,X2,X1)),X1)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1924]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8746,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.38 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8745]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1918,plain,
% 8.34/9.38 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)))
% 8.34/9.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X1,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Suc(X3),tc_nat),tc_nat)
% 8.34/9.38 | ~ hBOOL(hAPP(X0,X3)) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3731_3) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8733,plain,
% 8.34/9.38 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)))
% 8.34/9.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X1,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Suc(X3),tc_nat),tc_nat)
% 8.34/9.38 | ~ hBOOL(hAPP(X0,X3)) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1918]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8734,plain,
% 8.34/9.38 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X0,c_Suc(X1),tc_nat),tc_nat)
% 8.34/9.38 | hBOOL(hAPP(X3,c_Divides_Odiv__class_Odiv(X2,X0,tc_nat)))
% 8.34/9.38 | ~ hBOOL(hAPP(X3,X1)) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8733]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1898,plain,
% 8.34/9.38 ( X0 = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),X1,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Suc(X0),tc_nat),tc_nat) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3742_3) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8693,plain,
% 8.34/9.38 ( X0 = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),X1,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X2,c_Suc(X0),tc_nat),tc_nat) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1898]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8694,plain,
% 8.34/9.38 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X2,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Otimes__class_Otimes(X0,c_Suc(X1),tc_nat),tc_nat)
% 8.34/9.38 | X1 = c_Divides_Odiv__class_Odiv(X2,X0,tc_nat) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8693]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1892,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.34/9.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3745_1) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8681,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.34/9.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1892]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8682,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8681]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1888,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3745_5) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8673,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1888]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8674,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.38 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8673]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1886,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.38 | ~ c_lessequals(X1,X3,X0)
% 8.34/9.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 8.34/9.38 | ~ c_lessequals(X2,X4,X0) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3746_1) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8669,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.38 | ~ c_lessequals(X1,X3,X0)
% 8.34/9.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 8.34/9.38 | ~ c_lessequals(X2,X4,X0) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1886]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8670,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.34/9.38 | ~ c_lessequals(X1,X4,X0)
% 8.34/9.38 | ~ c_lessequals(X2,X3,X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8669]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1882,plain,
% 8.34/9.38 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 8.34/9.38 | ~ c_lessequals(X0,X3,X2)
% 8.34/9.38 | ~ c_lessequals(X1,X4,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3746_5) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8661,plain,
% 8.34/9.38 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 8.34/9.38 | ~ c_lessequals(X0,X3,X2)
% 8.34/9.38 | ~ c_lessequals(X1,X4,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1882]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8662,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.34/9.38 | ~ c_lessequals(X1,X3,X0)
% 8.34/9.38 | ~ c_lessequals(X2,X4,X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8661]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1880,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.38 | ~ c_lessequals(X1,X3,X0)
% 8.34/9.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 8.34/9.38 | ~ c_lessequals(X4,X2,X0) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3747_1) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8657,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.38 | ~ c_lessequals(X1,X3,X0)
% 8.34/9.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 8.34/9.38 | ~ c_lessequals(X4,X2,X0) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1880]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8658,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 8.34/9.38 | ~ c_lessequals(X1,X4,X0)
% 8.34/9.38 | ~ c_lessequals(X3,X2,X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8657]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1876,plain,
% 8.34/9.38 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 8.34/9.38 | ~ c_lessequals(X0,X3,X2)
% 8.34/9.38 | ~ c_lessequals(X1,X4,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3747_5) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8649,plain,
% 8.34/9.38 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 8.34/9.38 | ~ c_lessequals(X0,X3,X2)
% 8.34/9.38 | ~ c_lessequals(X1,X4,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.38 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1876]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8650,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.38 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X1,X4,X0),X0)
% 8.34/9.38 | ~ c_lessequals(X3,X1,X0)
% 8.34/9.38 | ~ c_lessequals(X2,X4,X0) ),
% 8.34/9.38 inference(rewriting,[status(thm)],[c_8649]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_1870,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 8.34/9.38 | ~ c_lessequals(X0,X3,X2)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.34/9.38 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3748_5) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8637,plain,
% 8.34/9.38 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 8.34/9.38 | ~ c_lessequals(X0,X3,X2)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.38 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.34/9.38 inference(copy,[status(esa)],[c_1870]) ).
% 8.34/9.38
% 8.34/9.38 cnf(c_8638,plain,
% 8.34/9.38 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.38 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.38 | ~ c_lessequals(X2,X3,X0)
% 8.34/9.38 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8637]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1864,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.34/9.39 | ~ c_lessequals(X1,X4,X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3749_5) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8625,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.34/9.39 | ~ c_lessequals(X1,X4,X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1864]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8626,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_lessequals(X2,X3,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8625]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1862,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3750_1) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8621,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1862]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8622,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8621]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1856,plain,
% 8.34/9.39 ( ~ 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)
% 8.34/9.39 | ~ c_lessequals(X1,X2,tc_nat)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3751_1) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8609,plain,
% 8.34/9.39 ( ~ 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)
% 8.34/9.39 | ~ c_lessequals(X1,X2,tc_nat)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1856]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8610,plain,
% 8.34/9.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X0,X2,tc_nat)
% 8.34/9.39 | ~ 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)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8609]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1854,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X2,X0,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X2,X1,tc_nat)
% 8.34/9.39 | ~ 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) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3751_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8605,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X2,X0,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X2,X1,tc_nat)
% 8.34/9.39 | ~ 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) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1854]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8606,plain,
% 8.34/9.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X0,X2,tc_nat)
% 8.34/9.39 | ~ 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)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8605]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1834,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3758_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8565,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1834]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8566,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8565]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1830,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3759_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8557,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1830]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8558,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8557]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1822,plain,
% 8.34/9.39 ( c_lessequals(X0,X1,X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3761_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8541,plain,
% 8.34/9.39 ( c_lessequals(X0,X1,X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1822]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8542,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 8.34/9.39 | c_lessequals(X1,X3,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8541]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1818,plain,
% 8.34/9.39 ( c_lessequals(X0,X1,X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3762_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8533,plain,
% 8.34/9.39 ( c_lessequals(X0,X1,X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1818]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8534,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.34/9.39 | c_lessequals(X2,X3,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8533]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1814,plain,
% 8.34/9.39 ( c_lessequals(X0,X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3763_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8525,plain,
% 8.34/9.39 ( c_lessequals(X0,X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1814]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8526,plain,
% 8.34/9.39 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | c_lessequals(X1,X3,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8525]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1810,plain,
% 8.34/9.39 ( c_lessequals(X0,X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3764_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8517,plain,
% 8.34/9.39 ( c_lessequals(X0,X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1810]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8518,plain,
% 8.34/9.39 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | c_lessequals(X3,X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8517]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1782,plain,
% 8.34/9.39 ( c_lessequals(X0,X1,tc_nat)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3772_2) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8461,plain,
% 8.34/9.39 ( c_lessequals(X0,X1,tc_nat)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1782]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8462,plain,
% 8.34/9.39 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 8.34/9.39 | c_lessequals(X0,X2,tc_nat)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8461]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1778,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3773_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8453,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1778]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8454,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8453]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1774,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3774_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8445,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1774]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8446,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8445]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1769,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3775_4) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8435,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1769]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8436,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8435]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1765,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3776_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8427,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1765]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8428,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8427]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1761,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3777_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8419,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1761]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8420,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8419]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1757,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3778_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8411,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1757]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8412,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8411]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1753,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3779_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8403,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1753]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8404,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8403]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1741,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3784_0) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8379,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1741]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8380,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8379]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1738,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3784_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8373,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1738]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8374,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8373]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1737,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3785_0) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8371,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1737]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8372,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8371]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1734,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3785_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8365,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1734]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8366,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.34/9.39 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8365]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1713,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X2,X1,tc_nat)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_lessequals(X2,X0,tc_nat) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3794_1) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8323,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X2,X1,tc_nat)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_lessequals(X2,X0,tc_nat) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1713]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8324,plain,
% 8.34/9.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X0,X2,tc_nat)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8323]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1711,plain,
% 8.34/9.39 ( 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)
% 8.34/9.39 | ~ c_lessequals(X1,X0,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X1,X2,tc_nat)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3794_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8319,plain,
% 8.34/9.39 ( 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)
% 8.34/9.39 | ~ c_lessequals(X1,X0,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X1,X2,tc_nat)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1711]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8320,plain,
% 8.34/9.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X0,X2,tc_nat)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8319]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1695,plain,
% 8.34/9.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 8.34/9.39 | ~ c_lessequals(X1,X2,X0)
% 8.34/9.39 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 8.34/9.39 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3804_0) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8287,plain,
% 8.34/9.39 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 8.34/9.39 | ~ c_lessequals(X1,X2,X0)
% 8.34/9.39 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 8.34/9.39 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1695]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8288,plain,
% 8.34/9.39 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.34/9.39 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 8.34/9.39 | ~ c_lessequals(X3,X4,X1)
% 8.34/9.39 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8287]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1686,plain,
% 8.34/9.39 ( 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)
% 8.34/9.39 | ~ c_lessequals(X1,X0,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3808_2) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8269,plain,
% 8.34/9.39 ( 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)
% 8.34/9.39 | ~ c_lessequals(X1,X0,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1686]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8270,plain,
% 8.34/9.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X0,X2,tc_nat)
% 8.34/9.39 | 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) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8269]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1676,plain,
% 8.34/9.39 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X1,X2,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3812_2) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8249,plain,
% 8.34/9.39 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X1,X2,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1676]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8250,plain,
% 8.34/9.39 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 8.34/9.39 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8249]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1651,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.34/9.39 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 8.34/9.39 | X1 = X3
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3822_1) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8199,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.34/9.39 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 8.34/9.39 | X1 = X3
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1651]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8200,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 8.34/9.39 | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 8.34/9.39 | X2 = X1 ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8199]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1647,plain,
% 8.34/9.39 ( X0 = X1
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 8.34/9.39 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3822_5) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8191,plain,
% 8.34/9.39 ( X0 = X1
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 8.34/9.39 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1647]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8192,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 8.34/9.39 | c_Power_Opower__class_Opower(X1,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X0)
% 8.34/9.39 | X1 = X2 ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8191]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1635,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3825_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8167,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1635]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8168,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8167]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1607,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3832_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8111,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1607]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8112,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8111]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1587,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | ~ c_lessequals(X3,X1,X2)
% 8.34/9.39 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3837_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8071,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | ~ c_lessequals(X3,X1,X2)
% 8.34/9.39 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1587]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8072,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ c_lessequals(X3,X1,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8071]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1583,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ c_lessequals(X3,X0,X2)
% 8.34/9.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3838_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8063,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ c_lessequals(X3,X0,X2)
% 8.34/9.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1583]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8064,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.34/9.39 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ c_lessequals(X3,X0,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8063]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1579,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.39 | ~ c_lessequals(X1,X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3839_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8055,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.39 | ~ c_lessequals(X1,X3,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1579]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8056,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | ~ c_lessequals(X1,X3,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8055]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1575,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ c_lessequals(X3,X1,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3840_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8047,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ c_lessequals(X3,X1,X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1575]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8048,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.34/9.39 | ~ c_lessequals(X3,X1,X2)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8047]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1559,plain,
% 8.34/9.39 ( 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)
% 8.34/9.39 | ~ c_lessequals(X1,X3,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 8.34/9.39 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3845_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8015,plain,
% 8.34/9.39 ( 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)
% 8.34/9.39 | ~ c_lessequals(X1,X3,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 8.34/9.39 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1559]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8016,plain,
% 8.34/9.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 8.34/9.39 | ~ c_lessequals(X1,X2,X0)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8015]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1557,plain,
% 8.34/9.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3846_1) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8011,plain,
% 8.34/9.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1557]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8012,plain,
% 8.34/9.39 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8011]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1553,plain,
% 8.34/9.39 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 8.34/9.39 | ~ c_lessequals(X1,X2,X0)
% 8.34/9.39 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 8.34/9.39 | ~ c_lessequals(X3,X4,X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3847_1) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8003,plain,
% 8.34/9.39 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 8.34/9.39 | ~ c_lessequals(X1,X2,X0)
% 8.34/9.39 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 8.34/9.39 | ~ c_lessequals(X3,X4,X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1553]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_8004,plain,
% 8.34/9.39 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 8.34/9.39 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 8.34/9.39 | ~ c_lessequals(X2,X4,X0)
% 8.34/9.39 | ~ c_lessequals(X1,X3,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_8003]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1514,plain,
% 8.34/9.39 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),tc_nat)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X2,X1,tc_nat) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3862_2) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7925,plain,
% 8.34/9.39 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),tc_nat)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X2,X1,tc_nat) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1514]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7926,plain,
% 8.34/9.39 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X0,X2,tc_nat),tc_nat)
% 8.34/9.39 | ~ c_lessequals(X2,X1,tc_nat)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_7925]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1510,plain,
% 8.34/9.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
% 8.34/9.39 | ~ c_lessequals(X2,X3,tc_nat) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3864_1) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7917,plain,
% 8.34/9.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.39 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
% 8.34/9.39 | ~ c_lessequals(X2,X3,tc_nat) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1510]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7918,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 8.34/9.39 | ~ c_lessequals(X1,X3,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_7917]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1504,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3866_1) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7905,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1504]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7906,plain,
% 8.34/9.39 ( 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)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_7905]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1501,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3867_1) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7899,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1501]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7900,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_7899]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1499,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3867_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7895,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1499]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7896,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_7895]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1497,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3868_1) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7891,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1497]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7892,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_7891]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1495,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3868_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7887,plain,
% 8.34/9.39 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1495]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7888,plain,
% 8.34/9.39 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.39 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_7887]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1471,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3883_1) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7839,plain,
% 8.34/9.39 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1471]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7840,plain,
% 8.34/9.39 ( 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)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 8.34/9.39 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_7839]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1468,plain,
% 8.34/9.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_lessequals(X2,X3,tc_nat) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3884_1) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7833,plain,
% 8.34/9.39 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.39 | 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)
% 8.34/9.39 | ~ c_lessequals(X2,X3,tc_nat) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1468]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7834,plain,
% 8.34/9.39 ( 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)
% 8.34/9.39 | ~ c_lessequals(X1,X3,tc_nat)
% 8.34/9.39 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_7833]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1463,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3885_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7823,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1463]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7824,plain,
% 8.34/9.39 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_7823]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1459,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3886_3) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7815,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(copy,[status(esa)],[c_1459]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_7816,plain,
% 8.34/9.39 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.39 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.39 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.39 inference(rewriting,[status(thm)],[c_7815]) ).
% 8.34/9.39
% 8.34/9.39 cnf(c_1455,plain,
% 8.34/9.39 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.39 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.39 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3887_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7807,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1455]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7808,plain,
% 8.34/9.40 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7807]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1451,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3888_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7799,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1451]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7800,plain,
% 8.34/9.40 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7799]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1447,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3889_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7791,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1447]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7792,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7791]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1446,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3890_0) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7789,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1446]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7790,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7789]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1442,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3891_0) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7781,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1442]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7782,plain,
% 8.34/9.40 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7781]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1439,plain,
% 8.34/9.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3891_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7775,plain,
% 8.34/9.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1439]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7776,plain,
% 8.34/9.40 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7775]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1435,plain,
% 8.34/9.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3892_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7767,plain,
% 8.34/9.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1435]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7768,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7767]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1433,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.34/9.40 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 8.34/9.40 | X1 = X3
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3893_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7763,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.34/9.40 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 8.34/9.40 | X1 = X3
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1433]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7764,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 8.34/9.40 | X2 = X1 ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7763]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1430,plain,
% 8.34/9.40 ( X0 = X1
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.40 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3893_4) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7757,plain,
% 8.34/9.40 ( X0 = X1
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.40 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1430]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7758,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 8.34/9.40 | X1 = X2 ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7757]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1411,plain,
% 8.34/9.40 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.34/9.40 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3903_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7719,plain,
% 8.34/9.40 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.34/9.40 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1411]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7720,plain,
% 8.34/9.40 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 8.34/9.40 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7719]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1408,plain,
% 8.34/9.40 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3904_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7713,plain,
% 8.34/9.40 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1408]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7714,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7713]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1383,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3912_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7663,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1383]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7664,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7663]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1375,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3914_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7647,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1375]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7648,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7647]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1371,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3915_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7639,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1371]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7640,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7639]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1367,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3916_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7631,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1367]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7632,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7631]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1363,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3917_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7623,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1363]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7624,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7623]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1353,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3919_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7603,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1353]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7604,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7603]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1329,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3925_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7555,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1329]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7556,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7555]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1325,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3926_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7547,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1325]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7548,plain,
% 8.34/9.40 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7547]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1321,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3927_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7539,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1321]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7540,plain,
% 8.34/9.40 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7539]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1319,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3928_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7535,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1319]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7536,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7535]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1315,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3929_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7527,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1315]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7528,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7527]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1310,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3931_2) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7517,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1310]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7518,plain,
% 8.34/9.40 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7517]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1307,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3932_2) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7511,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1307]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7512,plain,
% 8.34/9.40 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7511]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1305,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3934_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7507,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1305]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7508,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7507]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1295,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3936_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7487,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1295]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7488,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7487]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1293,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3937_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7483,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1293]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7484,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7483]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1283,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3939_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7463,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1283]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7464,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7463]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1281,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3940_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7459,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1281]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7460,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7459]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1277,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3941_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7451,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1277]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7452,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7451]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1270,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 8.34/9.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3942_4) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7437,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 8.34/9.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1270]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7438,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.34/9.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7437]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1265,plain,
% 8.34/9.40 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 8.34/9.40 | ~ c_lessequals(X0,X2,X1)
% 8.34/9.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3943_4) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7427,plain,
% 8.34/9.40 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 8.34/9.40 | ~ c_lessequals(X0,X2,X1)
% 8.34/9.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1265]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7428,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.34/9.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 8.34/9.40 | ~ c_lessequals(X2,X3,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7427]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1260,plain,
% 8.34/9.40 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 8.34/9.40 | ~ c_lessequals(X0,X3,X1)
% 8.34/9.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3944_4) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7417,plain,
% 8.34/9.40 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 8.34/9.40 | ~ c_lessequals(X0,X3,X1)
% 8.34/9.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1260]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7418,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.34/9.40 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 8.34/9.40 | ~ c_lessequals(X2,X3,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7417]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1227,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3954_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7351,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1227]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7352,plain,
% 8.34/9.40 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7351]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1200,plain,
% 8.34/9.40 ( ~ class_Orderings_Olinorder(X0)
% 8.34/9.40 | ~ c_lessequals(X1,X2,X0)
% 8.34/9.40 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 8.34/9.40 | ~ c_lessequals(X3,X2,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3965_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7297,plain,
% 8.34/9.40 ( ~ class_Orderings_Olinorder(X0)
% 8.34/9.40 | ~ c_lessequals(X1,X2,X0)
% 8.34/9.40 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 8.34/9.40 | ~ c_lessequals(X3,X2,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1200]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7298,plain,
% 8.34/9.40 ( ~ class_Orderings_Olinorder(X0)
% 8.34/9.40 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 8.34/9.40 | ~ c_lessequals(X2,X3,X0)
% 8.34/9.40 | ~ c_lessequals(X1,X3,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7297]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1188,plain,
% 8.34/9.40 ( ~ class_Orderings_Olinorder(X0)
% 8.34/9.40 | ~ c_lessequals(X1,X2,X0)
% 8.34/9.40 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 8.34/9.40 | ~ c_lessequals(X1,X3,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3968_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7273,plain,
% 8.34/9.40 ( ~ class_Orderings_Olinorder(X0)
% 8.34/9.40 | ~ c_lessequals(X1,X2,X0)
% 8.34/9.40 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 8.34/9.40 | ~ c_lessequals(X1,X3,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1188]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7274,plain,
% 8.34/9.40 ( ~ class_Orderings_Olinorder(X0)
% 8.34/9.40 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 8.34/9.40 | ~ c_lessequals(X1,X3,X0)
% 8.34/9.40 | ~ c_lessequals(X1,X2,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7273]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1184,plain,
% 8.34/9.40 ( ~ class_Orderings_Olinorder(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3969_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7265,plain,
% 8.34/9.40 ( ~ class_Orderings_Olinorder(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1184]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7266,plain,
% 8.34/9.40 ( ~ class_Orderings_Olinorder(X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7265]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1180,plain,
% 8.34/9.40 ( ~ class_Orderings_Olinorder(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3970_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7257,plain,
% 8.34/9.40 ( ~ class_Orderings_Olinorder(X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1180]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7258,plain,
% 8.34/9.40 ( ~ class_Orderings_Olinorder(X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7257]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1169,plain,
% 8.34/9.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3974_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7235,plain,
% 8.34/9.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1169]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7236,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7235]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1166,plain,
% 8.34/9.40 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 8.34/9.40 | ~ c_lessequals(X1,X2,tc_nat)
% 8.34/9.40 | X0 = X2
% 8.34/9.40 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3975_1) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7229,plain,
% 8.34/9.40 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 8.34/9.40 | ~ c_lessequals(X1,X2,tc_nat)
% 8.34/9.40 | X0 = X2
% 8.34/9.40 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1166]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7230,plain,
% 8.34/9.40 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.40 | ~ c_lessequals(X0,X2,tc_nat)
% 8.34/9.40 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 8.34/9.40 | X2 = X1 ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7229]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1164,plain,
% 8.34/9.40 ( X0 = X1
% 8.34/9.40 | ~ c_lessequals(X2,X0,tc_nat)
% 8.34/9.40 | ~ c_lessequals(X2,X1,tc_nat)
% 8.34/9.40 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3975_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7225,plain,
% 8.34/9.40 ( X0 = X1
% 8.34/9.40 | ~ c_lessequals(X2,X0,tc_nat)
% 8.34/9.40 | ~ c_lessequals(X2,X1,tc_nat)
% 8.34/9.40 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1164]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7226,plain,
% 8.34/9.40 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.34/9.40 | ~ c_lessequals(X0,X2,tc_nat)
% 8.34/9.40 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 8.34/9.40 | X1 = X2 ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7225]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1155,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3978_2) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7207,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1155]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7208,plain,
% 8.34/9.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7207]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1122,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3995_2) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7141,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1122]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7142,plain,
% 8.34/9.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7141]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1119,plain,
% 8.34/9.40 ( c_lessequals(X0,X1,X2)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3996_2) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7135,plain,
% 8.34/9.40 ( c_lessequals(X0,X1,X2)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1119]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7136,plain,
% 8.34/9.40 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.34/9.40 | c_lessequals(X0,X1,X2)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7135]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1114,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 8.34/9.40 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3998_2) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7125,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 8.34/9.40 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1114]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7126,plain,
% 8.34/9.40 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7125]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1111,plain,
% 8.34/9.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3999_2) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7119,plain,
% 8.34/9.40 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1111]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7120,plain,
% 8.34/9.40 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7119]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1108,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4000_2) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7113,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1108]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7114,plain,
% 8.34/9.40 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7113]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1105,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4001_2) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7107,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.34/9.40 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1105]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7108,plain,
% 8.34/9.40 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.34/9.40 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7107]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1102,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 8.34/9.40 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4002_2) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7101,plain,
% 8.34/9.40 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 8.34/9.40 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1102]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7102,plain,
% 8.34/9.40 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 8.34/9.40 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.34/9.40 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7101]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1101,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 8.34/9.40 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4003_0) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7099,plain,
% 8.34/9.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 8.34/9.40 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.34/9.40 inference(copy,[status(esa)],[c_1101]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7100,plain,
% 8.34/9.40 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.40 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 8.34/9.40 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 8.34/9.40 inference(rewriting,[status(thm)],[c_7099]) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_1098,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 8.34/9.40 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.34/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4003_3) ).
% 8.34/9.40
% 8.34/9.40 cnf(c_7093,plain,
% 8.34/9.40 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.34/9.40 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 8.34/9.40 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 8.34/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.40 inference(copy,[status(esa)],[c_1098]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7094,plain,
% 8.47/9.40 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.40 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 8.47/9.40 inference(rewriting,[status(thm)],[c_7093]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_1097,plain,
% 8.47/9.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 8.47/9.40 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.40 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 8.47/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4004_0) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7091,plain,
% 8.47/9.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 8.47/9.40 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.40 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 8.47/9.40 inference(copy,[status(esa)],[c_1097]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7092,plain,
% 8.47/9.40 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.40 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 8.47/9.40 inference(rewriting,[status(thm)],[c_7091]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_1094,plain,
% 8.47/9.40 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.40 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4004_3) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7085,plain,
% 8.47/9.40 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.40 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.40 inference(copy,[status(esa)],[c_1094]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7086,plain,
% 8.47/9.40 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.40 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 8.47/9.40 inference(rewriting,[status(thm)],[c_7085]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_1093,plain,
% 8.47/9.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 8.47/9.40 | ~ c_lessequals(X4,X3,X0)
% 8.47/9.40 | c_lessequals(X2,X1,X0) ),
% 8.47/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4005_0) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7083,plain,
% 8.47/9.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 8.47/9.40 | ~ c_lessequals(X4,X3,X0)
% 8.47/9.40 | c_lessequals(X2,X1,X0) ),
% 8.47/9.40 inference(copy,[status(esa)],[c_1093]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7084,plain,
% 8.47/9.40 ( ~ c_lessequals(X0,X1,X2)
% 8.47/9.40 | c_lessequals(X3,X4,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 8.47/9.40 inference(rewriting,[status(thm)],[c_7083]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_1090,plain,
% 8.47/9.40 ( c_lessequals(X0,X1,X2)
% 8.47/9.40 | ~ c_lessequals(X3,X4,X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4005_3) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7077,plain,
% 8.47/9.40 ( c_lessequals(X0,X1,X2)
% 8.47/9.40 | ~ c_lessequals(X3,X4,X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.40 inference(copy,[status(esa)],[c_1090]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7078,plain,
% 8.47/9.40 ( c_lessequals(X0,X1,X2)
% 8.47/9.40 | ~ c_lessequals(X3,X4,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 8.47/9.40 inference(rewriting,[status(thm)],[c_7077]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_1089,plain,
% 8.47/9.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 8.47/9.40 | ~ c_lessequals(X2,X1,X0)
% 8.47/9.40 | c_lessequals(X4,X3,X0) ),
% 8.47/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4006_0) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7075,plain,
% 8.47/9.40 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 8.47/9.40 | ~ c_lessequals(X2,X1,X0)
% 8.47/9.40 | c_lessequals(X4,X3,X0) ),
% 8.47/9.40 inference(copy,[status(esa)],[c_1089]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7076,plain,
% 8.47/9.40 ( ~ c_lessequals(X0,X1,X2)
% 8.47/9.40 | c_lessequals(X3,X4,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 8.47/9.40 inference(rewriting,[status(thm)],[c_7075]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_1086,plain,
% 8.47/9.40 ( c_lessequals(X0,X1,X2)
% 8.47/9.40 | ~ c_lessequals(X3,X4,X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4006_3) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7069,plain,
% 8.47/9.40 ( c_lessequals(X0,X1,X2)
% 8.47/9.40 | ~ c_lessequals(X3,X4,X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.40 inference(copy,[status(esa)],[c_1086]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_7070,plain,
% 8.47/9.40 ( c_lessequals(X0,X1,X2)
% 8.47/9.40 | ~ c_lessequals(X3,X4,X2)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 8.47/9.40 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 8.47/9.40 inference(rewriting,[status(thm)],[c_7069]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_1024,plain,
% 8.47/9.40 ( 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)
% 8.47/9.40 | ~ c_lessequals(X2,X0,tc_nat)
% 8.47/9.40 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 8.47/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4031_2) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_6945,plain,
% 8.47/9.40 ( 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)
% 8.47/9.40 | ~ c_lessequals(X2,X0,tc_nat)
% 8.47/9.40 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 8.47/9.40 inference(copy,[status(esa)],[c_1024]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_6946,plain,
% 8.47/9.40 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.40 | ~ class_Ring__and__Field_Oring__1(X2)
% 8.47/9.40 | 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) ),
% 8.47/9.40 inference(rewriting,[status(thm)],[c_6945]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_1010,plain,
% 8.47/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.40 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.40 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.47/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4045_1) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_6917,plain,
% 8.47/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.40 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.40 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.47/9.40 inference(copy,[status(esa)],[c_1010]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_6918,plain,
% 8.47/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.40 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.40 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.40 inference(rewriting,[status(thm)],[c_6917]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_1007,plain,
% 8.47/9.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 8.47/9.40 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 8.47/9.40 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4045_4) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_6911,plain,
% 8.47/9.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 8.47/9.40 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.40 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 8.47/9.40 inference(copy,[status(esa)],[c_1007]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_6912,plain,
% 8.47/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.40 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.40 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.40 inference(rewriting,[status(thm)],[c_6911]) ).
% 8.47/9.40
% 8.47/9.40 cnf(c_1005,plain,
% 8.47/9.40 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.40 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.40 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.40 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4046_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6907,plain,
% 8.47/9.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.41 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_1005]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6908,plain,
% 8.47/9.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6907]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_1002,plain,
% 8.47/9.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 8.47/9.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 8.47/9.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.41 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4046_4) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6901,plain,
% 8.47/9.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 8.47/9.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 8.47/9.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.41 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_1002]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6902,plain,
% 8.47/9.41 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.41 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6901]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_997,plain,
% 8.47/9.41 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4050_0) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6891,plain,
% 8.47/9.41 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_997]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6892,plain,
% 8.47/9.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 8.47/9.41 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6891]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_953,plain,
% 8.47/9.41 ( X0 = X1
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 8.47/9.41 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4071_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6803,plain,
% 8.47/9.41 ( X0 = X1
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 8.47/9.41 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_953]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6804,plain,
% 8.47/9.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.41 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 8.47/9.41 | X1 = X2 ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6803]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_950,plain,
% 8.47/9.41 ( ~ hBOOL(hAPP(X0,X1))
% 8.47/9.41 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,X2))
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4072_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6797,plain,
% 8.47/9.41 ( ~ hBOOL(hAPP(X0,X1))
% 8.47/9.41 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,X2))
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_950]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6798,plain,
% 8.47/9.41 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X1,X2),tc_nat)
% 8.47/9.41 | hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X1,X0))
% 8.47/9.41 | ~ hBOOL(hAPP(X1,X2)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6797]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_949,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat)
% 8.47/9.41 | ~ hBOOL(hAPP(X0,X2)) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4072_3) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6795,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat)
% 8.47/9.41 | ~ hBOOL(hAPP(X0,X2)) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_949]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6796,plain,
% 8.47/9.41 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X1,X2),tc_nat)
% 8.47/9.41 | hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X1,X2))
% 8.47/9.41 | ~ hBOOL(hAPP(X1,X0)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6795]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_873,plain,
% 8.47/9.41 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 8.47/9.41 | ~ c_lessequals(X3,X1,X0) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4107_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6643,plain,
% 8.47/9.41 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 8.47/9.41 | ~ c_lessequals(X3,X1,X0) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_873]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6644,plain,
% 8.47/9.41 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.41 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6643]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_871,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.41 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.47/9.41 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4107_3) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6639,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.41 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.47/9.41 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_871]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6640,plain,
% 8.47/9.41 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.41 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6639]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_865,plain,
% 8.47/9.41 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.41 | ~ c_lessequals(X2,X3,X0) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4109_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6627,plain,
% 8.47/9.41 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.41 | ~ c_lessequals(X2,X3,X0) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_865]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6628,plain,
% 8.47/9.41 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.41 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6627]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_863,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.41 | ~ c_lessequals(X3,X1,X2)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.41 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4109_3) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6623,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.41 | ~ c_lessequals(X3,X1,X2)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.41 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_863]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6624,plain,
% 8.47/9.41 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.41 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6623]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_824,plain,
% 8.47/9.41 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4123_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6545,plain,
% 8.47/9.41 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_824]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6546,plain,
% 8.47/9.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 8.47/9.41 | c_Divides_Odiv__class_Odiv(X1,X0,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6545]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_822,plain,
% 8.47/9.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4124_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6541,plain,
% 8.47/9.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_822]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6542,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6541]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_782,plain,
% 8.47/9.41 ( c_lessequals(X0,X1,X2)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.41 | ~ c_lessequals(X1,X0,X2)
% 8.47/9.41 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4146_3) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6461,plain,
% 8.47/9.41 ( c_lessequals(X0,X1,X2)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.41 | ~ c_lessequals(X1,X0,X2)
% 8.47/9.41 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_782]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6462,plain,
% 8.47/9.41 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.41 | c_lessequals(X1,X2,X0)
% 8.47/9.41 | ~ c_lessequals(X2,X1,X0)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6461]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_770,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4151_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6437,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_770]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6438,plain,
% 8.47/9.41 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))))
% 8.47/9.41 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6437]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_767,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0)))) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4152_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6431,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0)))) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_767]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6432,plain,
% 8.47/9.41 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 8.47/9.41 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6431]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_764,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4153_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6425,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_764]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6426,plain,
% 8.47/9.41 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 8.47/9.41 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6425]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_761,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4154_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6419,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_761]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6420,plain,
% 8.47/9.41 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 8.47/9.41 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6419]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_758,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0)))) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4155_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6413,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0)))) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_758]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6414,plain,
% 8.47/9.41 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 8.47/9.41 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6413]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_756,plain,
% 8.47/9.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 8.47/9.41 | X2 = X1 ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4156_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6409,plain,
% 8.47/9.41 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 8.47/9.41 | X2 = X1 ),
% 8.47/9.41 inference(copy,[status(esa)],[c_756]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6410,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 8.47/9.41 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 8.47/9.41 | X1 = X0 ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6409]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_754,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | X0 = X1
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 8.47/9.41 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4156_3) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6405,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | X0 = X1
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 8.47/9.41 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_754]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6406,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 8.47/9.41 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 8.47/9.41 | X0 = X1 ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6405]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_696,plain,
% 8.47/9.41 ( X0 = X1
% 8.47/9.41 | ~ c_lessequals(X1,X0,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4176_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6289,plain,
% 8.47/9.41 ( X0 = X1
% 8.47/9.41 | ~ c_lessequals(X1,X0,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_696]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6290,plain,
% 8.47/9.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 8.47/9.41 | X1 = X0 ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6289]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_686,plain,
% 8.47/9.41 ( X0 = X1
% 8.47/9.41 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.41 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4180_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6269,plain,
% 8.47/9.41 ( X0 = X1
% 8.47/9.41 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.41 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_686]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6270,plain,
% 8.47/9.41 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.41 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.41 | X0 = X1 ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6269]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_655,plain,
% 8.47/9.41 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4193_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6207,plain,
% 8.47/9.41 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_655]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6208,plain,
% 8.47/9.41 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6207]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_637,plain,
% 8.47/9.41 ( ~ c_Lambda_Obeta(X0,X1)
% 8.47/9.41 | ~ c_Type_Otyping(X2,X0,X3)
% 8.47/9.41 | c_Type_Otyping(X2,X1,X3) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4202_0) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6171,plain,
% 8.47/9.41 ( ~ c_Lambda_Obeta(X0,X1)
% 8.47/9.41 | ~ c_Type_Otyping(X2,X0,X3)
% 8.47/9.41 | c_Type_Otyping(X2,X1,X3) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_637]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6172,plain,
% 8.47/9.41 ( ~ c_Type_Otyping(X0,X1,X2)
% 8.47/9.41 | c_Type_Otyping(X0,X3,X2)
% 8.47/9.41 | ~ c_Lambda_Obeta(X1,X3) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6171]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_632,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 8.47/9.41 | ~ hBOOL(hAPP(X0,X1)) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4203_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6161,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 8.47/9.41 | ~ hBOOL(hAPP(X0,X1)) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_632]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6162,plain,
% 8.47/9.41 ( c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 8.47/9.41 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,X1)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6161]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_625,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0))) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4210_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6147,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0))) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_625]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6148,plain,
% 8.47/9.41 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 8.47/9.41 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6147]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_587,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 8.47/9.41 | hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4221_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6071,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 8.47/9.41 | hBOOL(hAPP(X0,X1))
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_587]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_6072,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 8.47/9.41 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.41 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_6071]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_547,plain,
% 8.47/9.41 ( c_Suc(X0) = X1
% 8.47/9.41 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4236_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5991,plain,
% 8.47/9.41 ( c_Suc(X0) = X1
% 8.47/9.41 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_547]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5992,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 8.47/9.41 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | c_Suc(X0) = X1 ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_5991]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_469,plain,
% 8.47/9.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.41 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.41 | ~ class_Power_Opower(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Omult__zero(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4275_5) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5835,plain,
% 8.47/9.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.41 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.41 | ~ class_Power_Opower(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Omult__zero(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_469]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5836,plain,
% 8.47/9.41 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 8.47/9.41 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 8.47/9.41 | ~ class_Ring__and__Field_Omult__zero(X0)
% 8.47/9.41 | ~ class_Power_Opower(X0)
% 8.47/9.41 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_5835]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_464,plain,
% 8.47/9.41 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.41 | ~ class_Power_Opower(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Omult__zero(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4276_4) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5825,plain,
% 8.47/9.41 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.41 | ~ class_Power_Opower(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Omult__zero(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_464]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5826,plain,
% 8.47/9.41 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 8.47/9.41 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 8.47/9.41 | ~ class_Ring__and__Field_Omult__zero(X0)
% 8.47/9.41 | ~ class_Power_Opower(X0)
% 8.47/9.41 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_5825]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_461,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | X1 = X0
% 8.47/9.41 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4278_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5819,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | X1 = X0
% 8.47/9.41 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_461]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5820,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 8.47/9.41 | X1 = X0 ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_5819]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_443,plain,
% 8.47/9.41 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.41 | X2 = X1
% 8.47/9.41 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4283_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5783,plain,
% 8.47/9.41 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.41 | X2 = X1
% 8.47/9.41 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_443]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5784,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.41 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 8.47/9.41 | X1 = X0 ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_5783]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_441,plain,
% 8.47/9.41 ( X0 = X1
% 8.47/9.41 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.41 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4283_3) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5779,plain,
% 8.47/9.41 ( X0 = X1
% 8.47/9.41 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.41 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_441]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5780,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.41 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 8.47/9.41 | X0 = X1 ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_5779]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_380,plain,
% 8.47/9.41 ( X0 = X1
% 8.47/9.41 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4312_2) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5657,plain,
% 8.47/9.41 ( X0 = X1
% 8.47/9.41 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_380]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5658,plain,
% 8.47/9.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.41 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 8.47/9.41 | X0 = X1 ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_5657]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_336,plain,
% 8.47/9.41 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.41 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.41 | ~ class_Power_Opower(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Omult__zero(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4328_5) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5569,plain,
% 8.47/9.41 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.41 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.41 | ~ class_Power_Opower(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Omult__zero(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 8.47/9.41 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_336]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5570,plain,
% 8.47/9.41 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 8.47/9.41 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 8.47/9.41 | ~ class_Ring__and__Field_Omult__zero(X0)
% 8.47/9.41 | ~ class_Power_Opower(X0)
% 8.47/9.41 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.41 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_5569]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_300,plain,
% 8.47/9.41 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X2)
% 8.47/9.41 | hBOOL(hAPP(X0,X3))
% 8.47/9.41 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4346_0) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5497,plain,
% 8.47/9.41 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X2)
% 8.47/9.41 | hBOOL(hAPP(X0,X3))
% 8.47/9.41 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_300]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5498,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | hBOOL(hAPP(X0,X2))
% 8.47/9.41 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X2,X3) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_5497]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_297,plain,
% 8.47/9.41 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X2)
% 8.47/9.41 | hBOOL(hAPP(X0,X3))
% 8.47/9.41 | hBOOL(hAPP(X0,X2)) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4347_0) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5491,plain,
% 8.47/9.41 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X2)
% 8.47/9.41 | hBOOL(hAPP(X0,X3))
% 8.47/9.41 | hBOOL(hAPP(X0,X2)) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_297]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_5492,plain,
% 8.47/9.41 ( hBOOL(hAPP(X0,X1))
% 8.47/9.41 | hBOOL(hAPP(X0,X2))
% 8.47/9.41 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X3,X2) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_5491]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2194,negated_conjecture,
% 8.47/9.41 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2779,negated_conjecture,
% 8.47/9.41 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2194]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2783,negated_conjecture,
% 8.47/9.41 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2779]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2784,negated_conjecture,
% 8.47/9.41 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2783]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2785,negated_conjecture,
% 8.47/9.41 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2784]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9285,negated_conjecture,
% 8.47/9.41 ( ~ c_Type_Otyping(c_Type_Oshift(v_ea____,c_HOL_Ozero__class_Ozero(tc_nat),c_Type_Otype_OFun(v_Ta____,v_U____),tc_Type_Otype),c_Lambda_OdB_OVar(c_HOL_Ozero__class_Ozero(tc_nat)),c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2785]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2192,plain,
% 8.47/9.41 ( 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))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3604_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9281,plain,
% 8.47/9.41 ( 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))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2192]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9282,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | 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)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9281]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2190,plain,
% 8.47/9.41 ( 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))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3605_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9277,plain,
% 8.47/9.41 ( 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))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2190]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9278,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | 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)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9277]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2188,plain,
% 8.47/9.41 ( 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)))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3606_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9273,plain,
% 8.47/9.41 ( 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)))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2188]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9274,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | 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))) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9273]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2186,plain,
% 8.47/9.41 ( 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))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3607_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9269,plain,
% 8.47/9.41 ( 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))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2186]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9270,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | 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)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9269]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2182,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3609_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9261,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2182]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9262,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9261]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2180,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3610_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9257,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2180]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9258,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9257]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2178,plain,
% 8.47/9.41 ( 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))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3611_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9253,plain,
% 8.47/9.41 ( 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))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2178]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9254,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | 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)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9253]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2176,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3612_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9249,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2176]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9250,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9249]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2174,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3613_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9245,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2174]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9246,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9245]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2172,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3614_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9241,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2172]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9242,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9241]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2170,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3615_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9237,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2170]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9238,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9237]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2168,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3616_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9233,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2168]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9234,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),c_HOL_Otimes__class_Otimes(X7,X8,tc_nat)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9233]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2166,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3617_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9229,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2166]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9230,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9229]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2156,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3622_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9209,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2156]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9210,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9209]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2154,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3623_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9205,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2154]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9206,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9205]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2152,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3624_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9201,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2152]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9202,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9201]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2150,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3625_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9197,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2150]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9198,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9197]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2148,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3626_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9193,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2148]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9194,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9193]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2146,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3627_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9189,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2146]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9190,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9189]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2140,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3630_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9177,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2140]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9178,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9177]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2134,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3633_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9165,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2134]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9166,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9165]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2132,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3634_1) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9161,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 8.47/9.41 inference(copy,[status(esa)],[c_2132]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_9162,plain,
% 8.47/9.41 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.41 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 8.47/9.41 inference(rewriting,[status(thm)],[c_9161]) ).
% 8.47/9.41
% 8.47/9.41 cnf(c_2130,plain,
% 8.47/9.41 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 8.47/9.41 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 8.47/9.41 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3635_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9157,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2130]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9158,plain,
% 8.47/9.42 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.42 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9157]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2126,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),X2) = X1
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3637_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9149,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),X2) = X1
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2126]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9150,plain,
% 8.47/9.42 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.42 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9149]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2122,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),X2) = X2
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3639_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9141,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),X2) = X2
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2122]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9142,plain,
% 8.47/9.42 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.42 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9141]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2118,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),X2) = X1
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3641_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9133,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),X2) = X1
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2118]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9134,plain,
% 8.47/9.42 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.42 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9133]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2116,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),X2) = X2
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3642_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9129,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),X2) = X2
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2116]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9130,plain,
% 8.47/9.42 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.42 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9129]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2114,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),X2) = X1
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3643_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9125,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),X2) = X1
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2114]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9126,plain,
% 8.47/9.42 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.42 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9125]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2112,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),X2) = X2
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3644_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9121,plain,
% 8.47/9.42 ( hAPP(hAPP(X0,X1),X2) = X2
% 8.47/9.42 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2112]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9122,plain,
% 8.47/9.42 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 8.47/9.42 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9121]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2108,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3647_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9113,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X4,X1,X5,hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3),t_a))) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2108]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2106,plain,
% 8.47/9.42 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 8.47/9.42 | X4 = X3
% 8.47/9.42 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3648_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9109,plain,
% 8.47/9.42 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 8.47/9.42 | X4 = X3
% 8.47/9.42 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2106]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9110,plain,
% 8.47/9.42 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 8.47/9.42 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 8.47/9.42 | X4 = X3 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9109]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2101,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3650_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9099,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X1,X3,X4,c_Lambda_OdB_OVar(X2),t_a))) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2101]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2097,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3652_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9091,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Lambda_OdB_OdB__case(X3,X4,X1,c_Lambda_OdB_OAbs(X2),t_a))) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2097]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2094,plain,
% 8.47/9.42 ( 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))
% 8.47/9.42 | ~ 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))
% 8.47/9.42 | ~ c_InductTermi_OIT(X1) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3653_2) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9085,plain,
% 8.47/9.42 ( 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))
% 8.47/9.42 | ~ 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))
% 8.47/9.42 | ~ c_InductTermi_OIT(X1) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2094]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2092,plain,
% 8.47/9.42 ( 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))
% 8.47/9.42 | ~ c_Lambda_Obeta(X0,X2) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3654_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9081,plain,
% 8.47/9.42 ( 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))
% 8.47/9.42 | ~ c_Lambda_Obeta(X0,X2) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2092]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2090,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | 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) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3655_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9077,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | 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) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2090]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9078,plain,
% 8.47/9.42 ( 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)
% 8.47/9.42 | X0 = X2 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9077]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2088,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | 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) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3656_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9073,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | 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) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2088]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9074,plain,
% 8.47/9.42 ( 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)
% 8.47/9.42 | X1 = X3 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9073]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2086,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | 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) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3657_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9069,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | 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) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2086]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9070,plain,
% 8.47/9.42 ( 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)
% 8.47/9.42 | X0 = X2 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9069]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2084,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | 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) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3658_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9065,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | 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) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2084]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9066,plain,
% 8.47/9.42 ( 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)
% 8.47/9.42 | X1 = X3 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9065]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2082,plain,
% 8.47/9.42 ( 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))
% 8.47/9.42 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3659_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9061,plain,
% 8.47/9.42 ( 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))
% 8.47/9.42 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2082]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9062,plain,
% 8.47/9.42 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 8.47/9.42 | 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)) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9061]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2080,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | 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) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3661_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9057,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | 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) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2080]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9058,plain,
% 8.47/9.42 ( 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)
% 8.47/9.42 | X0 = X2 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9057]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2078,plain,
% 8.47/9.42 ( 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)
% 8.47/9.42 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3662_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9053,plain,
% 8.47/9.42 ( 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)
% 8.47/9.42 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2078]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9054,plain,
% 8.47/9.42 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 8.47/9.42 | 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) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9053]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2074,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,X1))
% 8.47/9.42 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)),X3),X2,tc_nat)))
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3663_3) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9045,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,X1))
% 8.47/9.42 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)),X3),X2,tc_nat)))
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(X3,X2,tc_nat) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2074]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9046,plain,
% 8.47/9.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.42 | ~ hBOOL(hAPP(X2,c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X0),X1,tc_nat)))
% 8.47/9.42 | hBOOL(hAPP(X2,X3))
% 8.47/9.42 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9045]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2068,plain,
% 8.47/9.42 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3666_2) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9033,plain,
% 8.47/9.42 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2068]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2062,plain,
% 8.47/9.42 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 8.47/9.42 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3668_2) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9021,plain,
% 8.47/9.42 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5),X0)
% 8.47/9.42 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2062]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2056,plain,
% 8.47/9.42 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 8.47/9.42 | ~ c_lessequals(X3,X0,tc_nat)
% 8.47/9.42 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat)),X2),X4,tc_nat) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3670_2) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9009,plain,
% 8.47/9.42 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 8.47/9.42 | ~ c_lessequals(X3,X0,tc_nat)
% 8.47/9.42 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat)),X2),X4,tc_nat) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2056]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_9010,plain,
% 8.47/9.42 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)),X3),X4,tc_nat)
% 8.47/9.42 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat)
% 8.47/9.42 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_9009]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2047,plain,
% 8.47/9.42 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3673_2) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8991,plain,
% 8.47/9.42 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2047]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2041,plain,
% 8.47/9.42 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 8.47/9.42 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3675_2) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8979,plain,
% 8.47/9.42 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4),X5,X0)
% 8.47/9.42 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2041]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2035,plain,
% 8.47/9.42 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),X4),tc_nat)
% 8.47/9.42 | ~ c_lessequals(X2,X1,tc_nat)
% 8.47/9.42 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X4),tc_nat) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3677_2) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8967,plain,
% 8.47/9.42 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),X3,tc_nat)),X4),tc_nat)
% 8.47/9.42 | ~ c_lessequals(X2,X1,tc_nat)
% 8.47/9.42 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)),X4),tc_nat) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2035]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8968,plain,
% 8.47/9.42 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat)
% 8.47/9.42 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat)
% 8.47/9.42 | ~ c_lessequals(X0,X3,tc_nat) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8967]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2024,plain,
% 8.47/9.42 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat)),X2),X4,tc_nat)
% 8.47/9.42 | ~ c_lessequals(X3,X0,tc_nat) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3681_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8945,plain,
% 8.47/9.42 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X0,X3,tc_nat),X1,tc_nat)),X2),X4,tc_nat)
% 8.47/9.42 | ~ c_lessequals(X3,X0,tc_nat) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2024]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8946,plain,
% 8.47/9.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.42 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X3),X4,tc_nat) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8945]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2022,plain,
% 8.47/9.42 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat)
% 8.47/9.42 | ~ c_lessequals(X0,X3,tc_nat) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3682_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8941,plain,
% 8.47/9.42 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X0,tc_nat),X1,tc_nat)),X4),tc_nat)
% 8.47/9.42 | ~ c_lessequals(X0,X3,tc_nat) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2022]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8942,plain,
% 8.47/9.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.42 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X4),tc_nat) = c_HOL_Ominus__class_Ominus(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X4),tc_nat) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8941]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2018,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,c_Type_Otype_OFun(X2,X3),t_a))) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3686_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8933,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,c_Type_Otype_OFun(X2,X3),t_a))) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2018]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2014,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),X1,tc_nat)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)),X3)
% 8.47/9.42 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3688_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8925,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),X1,tc_nat)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)),X3)
% 8.47/9.42 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2014]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8926,plain,
% 8.47/9.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X2,tc_nat)),X3)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)),X3) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8925]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2010,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4)
% 8.47/9.42 | ~ class_Ring__and__Field_Oring(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3690_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8917,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4)
% 8.47/9.42 | ~ class_Ring__and__Field_Oring(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2010]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8918,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Oring(X0)
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X3,X1,X0),X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8917]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2008,plain,
% 8.47/9.42 ( X0 = c_Lambda_OdB_OAbs(X1)
% 8.47/9.42 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3691_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8913,plain,
% 8.47/9.42 ( X0 = c_Lambda_OdB_OAbs(X1)
% 8.47/9.42 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2008]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8914,plain,
% 8.47/9.42 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 8.47/9.42 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8913]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2006,plain,
% 8.47/9.42 ( c_Lambda_OdB_OVar(X0) = X1
% 8.47/9.42 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3692_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8909,plain,
% 8.47/9.42 ( c_Lambda_OdB_OVar(X0) = X1
% 8.47/9.42 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2006]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8910,plain,
% 8.47/9.42 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 8.47/9.42 | c_Lambda_OdB_OVar(X0) = X1 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8909]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2004,plain,
% 8.47/9.42 ( c_Lambda_OdB_OAbs(X0) = X1
% 8.47/9.42 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3693_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8905,plain,
% 8.47/9.42 ( c_Lambda_OdB_OAbs(X0) = X1
% 8.47/9.42 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2004]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8906,plain,
% 8.47/9.42 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 8.47/9.42 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8905]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_2000,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3695_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8897,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_2000]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1996,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3697_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8889,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1996]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1994,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,X1))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3698_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8885,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,X1))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1994]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8886,plain,
% 8.47/9.42 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 8.47/9.42 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8885]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1985,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4) = X5
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5)
% 8.47/9.42 | ~ class_Ring__and__Field_Oring(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3701_2) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8867,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4) = X5
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5)
% 8.47/9.42 | ~ class_Ring__and__Field_Oring(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1985]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8868,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Oring(X0)
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X1,X2,X0),X3,X0)),X4) = X5
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),X4) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X5) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8867]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1982,plain,
% 8.47/9.42 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)),X5)
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),X5)
% 8.47/9.42 | ~ class_Ring__and__Field_Oring(X1) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3702_2) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8861,plain,
% 8.47/9.42 ( X0 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X2,X3,X1),X4,X1)),X5)
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X3,X4,X1)),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X4,X1)),X5)
% 8.47/9.42 | ~ class_Ring__and__Field_Oring(X1) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1982]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8862,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Oring(X0)
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X4,X2,X0)),X5)
% 8.47/9.42 | X3 = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ominus__class_Ominus(X4,X1,X0),X2,X0)),X5) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8861]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1980,plain,
% 8.47/9.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3703_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8857,plain,
% 8.47/9.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1980]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1978,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)),X4)
% 8.47/9.42 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3705_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8853,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)),X4)
% 8.47/9.42 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1978]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8854,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Osemiring(X0)
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X3,X2,X0)),X4)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)),X4) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8853]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1970,plain,
% 8.47/9.42 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3710_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8837,plain,
% 8.47/9.42 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1970]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1968,plain,
% 8.47/9.42 ( c_Type_Otyping(X0,X1,c_Type_Otype_OFun(c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3),X2))
% 8.47/9.42 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3711_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8833,plain,
% 8.47/9.42 ( c_Type_Otyping(X0,X1,c_Type_Otype_OFun(c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3),X2))
% 8.47/9.42 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1968]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8834,plain,
% 8.47/9.42 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 8.47/9.42 | c_Type_Otyping(X0,X1,c_Type_Otype_OFun(c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2),X3)) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8833]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1962,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Oidom(X0)
% 8.47/9.42 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X4,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X4,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0))
% 8.47/9.42 | X2 = X4
% 8.47/9.42 | X1 = X3 ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3716_0) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8821,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Oidom(X0)
% 8.47/9.42 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X4,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X4,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0))
% 8.47/9.42 | X2 = X4
% 8.47/9.42 | X1 = X3 ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1962]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1958,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | X2 = X3
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),c_HOL_Otimes__class_Otimes(X0,X2,X4)),c_HOL_Otimes__class_Otimes(X1,X3,X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),c_HOL_Otimes__class_Otimes(X0,X3,X4)),c_HOL_Otimes__class_Otimes(X1,X2,X4))
% 8.47/9.42 | ~ class_Int_Onumber__ring(X4)
% 8.47/9.42 | ~ class_Ring__and__Field_Oidom(X4) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3716_4) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8813,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | X2 = X3
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),c_HOL_Otimes__class_Otimes(X0,X2,X4)),c_HOL_Otimes__class_Otimes(X1,X3,X4)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X4),c_HOL_Otimes__class_Otimes(X0,X3,X4)),c_HOL_Otimes__class_Otimes(X1,X2,X4))
% 8.47/9.42 | ~ class_Int_Onumber__ring(X4)
% 8.47/9.42 | ~ class_Ring__and__Field_Oidom(X4) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1958]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8814,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Oidom(X0)
% 8.47/9.42 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X4,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X4,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0))
% 8.47/9.42 | X1 = X3
% 8.47/9.42 | X2 = X4 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8813]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1954,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))
% 8.47/9.42 | X1 = X3
% 8.47/9.42 | X0 = X2 ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3718_0) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8805,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))
% 8.47/9.42 | X1 = X3
% 8.47/9.42 | X0 = X2 ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1954]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1952,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | X2 = X3
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3718_2) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8801,plain,
% 8.47/9.42 ( X0 = X1
% 8.47/9.42 | X2 = X3
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1952]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8802,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X3,tc_nat)),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat))
% 8.47/9.42 | X0 = X2
% 8.47/9.42 | X1 = X3 ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8801]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1940,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,X1))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3722_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8777,plain,
% 8.47/9.42 ( hBOOL(hAPP(X0,X1))
% 8.47/9.42 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1940]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8778,plain,
% 8.47/9.42 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 8.47/9.42 | hBOOL(hAPP(X0,X2)) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8777]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1938,plain,
% 8.47/9.42 ( 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))
% 8.47/9.42 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3723_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8773,plain,
% 8.47/9.42 ( 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))
% 8.47/9.42 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1938]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1936,plain,
% 8.47/9.42 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3724_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8769,plain,
% 8.47/9.42 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1936]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1934,plain,
% 8.47/9.42 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),c_Type_Otype_OFun(X2,X3))
% 8.47/9.42 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3725_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8765,plain,
% 8.47/9.42 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),c_Type_Otype_OFun(X2,X3))
% 8.47/9.42 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1934]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8766,plain,
% 8.47/9.42 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 8.47/9.42 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),c_Type_Otype_OFun(X1,X3)) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8765]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1932,plain,
% 8.47/9.42 ( 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)
% 8.47/9.42 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3726_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8761,plain,
% 8.47/9.42 ( 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)
% 8.47/9.42 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1932]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8762,plain,
% 8.47/9.42 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.42 | 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) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8761]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1930,plain,
% 8.47/9.42 ( 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)
% 8.47/9.42 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3727_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8757,plain,
% 8.47/9.42 ( 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)
% 8.47/9.42 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1930]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8758,plain,
% 8.47/9.42 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.42 | 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) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8757]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1922,plain,
% 8.47/9.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3730_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8741,plain,
% 8.47/9.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)),X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1922]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1912,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),c_HOL_Otimes__class_Otimes(X1,X2,X0))
% 8.47/9.42 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Oidom(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3734_2) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8721,plain,
% 8.47/9.42 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),c_HOL_Otimes__class_Otimes(X1,X2,X0))
% 8.47/9.42 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.42 | ~ class_Ring__and__Field_Oidom(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1912]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8722,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Oidom(X0)
% 8.47/9.42 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.42 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X3,X0)),c_HOL_Otimes__class_Otimes(X1,X2,X0)) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8721]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1910,plain,
% 8.47/9.42 ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 8.47/9.42 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3735_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8717,plain,
% 8.47/9.42 ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 8.47/9.42 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1910]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8718,plain,
% 8.47/9.42 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 8.47/9.42 | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8717]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1908,plain,
% 8.47/9.42 ( 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))
% 8.47/9.42 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3736_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8713,plain,
% 8.47/9.42 ( 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))
% 8.47/9.42 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1908]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8714,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.42 | 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)) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8713]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1906,plain,
% 8.47/9.42 ( 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))
% 8.47/9.42 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3737_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8709,plain,
% 8.47/9.42 ( 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))
% 8.47/9.42 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1906]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1904,plain,
% 8.47/9.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_Suc(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)),tc_nat),tc_nat)
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3740_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8705,plain,
% 8.47/9.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,c_Suc(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat)),tc_nat),tc_nat)
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1904]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8706,plain,
% 8.47/9.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.42 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,c_Suc(c_Divides_Odiv__class_Odiv(X1,X0,tc_nat)),tc_nat),tc_nat) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8705]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1902,plain,
% 8.47/9.42 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 8.47/9.42 | ~ c_Type_Otyping(X0,X3,X4) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3741_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8701,plain,
% 8.47/9.42 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 8.47/9.42 | ~ c_Type_Otyping(X0,X3,X4) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1902]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1896,plain,
% 8.47/9.42 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2),X2)
% 8.47/9.42 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3743_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8689,plain,
% 8.47/9.42 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X4,X2),X2)
% 8.47/9.42 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1896]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8690,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X3,c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X4,X0),X0) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8689]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1894,plain,
% 8.47/9.42 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2),X2)
% 8.47/9.42 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3744_1) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8685,plain,
% 8.47/9.42 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X3,X4,X2),X2),X2)
% 8.47/9.42 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1894]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8686,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.42 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X3,X4,X0),X0),X0) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8685]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1890,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.47/9.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 8.47/9.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3745_3) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8677,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.47/9.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 8.47/9.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1890]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8678,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.47/9.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.42 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8677]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1884,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.47/9.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.47/9.42 | ~ c_lessequals(X2,X3,X0)
% 8.47/9.42 | ~ c_lessequals(X1,X4,X0)
% 8.47/9.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.47/9.42 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3746_3) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8665,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.47/9.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.47/9.42 | ~ c_lessequals(X2,X3,X0)
% 8.47/9.42 | ~ c_lessequals(X1,X4,X0)
% 8.47/9.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.47/9.42 inference(copy,[status(esa)],[c_1884]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_8666,plain,
% 8.47/9.42 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.47/9.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.47/9.42 | ~ c_lessequals(X2,X3,X0)
% 8.47/9.42 | ~ c_lessequals(X1,X4,X0) ),
% 8.47/9.42 inference(rewriting,[status(thm)],[c_8665]) ).
% 8.47/9.42
% 8.47/9.42 cnf(c_1878,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.47/9.43 | ~ c_lessequals(X2,X3,X0)
% 8.47/9.43 | ~ c_lessequals(X1,X4,X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3747_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8653,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 8.47/9.43 | ~ c_lessequals(X2,X3,X0)
% 8.47/9.43 | ~ c_lessequals(X1,X4,X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1878]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8654,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.43 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 8.47/9.43 | ~ c_lessequals(X3,X2,X0)
% 8.47/9.43 | ~ c_lessequals(X1,X4,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8653]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1858,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3750_5) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8613,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1858]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8614,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.43 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8613]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1853,plain,
% 8.47/9.43 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X2,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X0,tc_nat)
% 8.47/9.43 | c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3752_0) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8603,plain,
% 8.47/9.43 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X2,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X0,tc_nat)
% 8.47/9.43 | c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1853]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1852,plain,
% 8.47/9.43 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X2,tc_nat)
% 8.47/9.43 | c_lessequals(X0,X2,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3752_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8601,plain,
% 8.47/9.43 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X2,tc_nat)
% 8.47/9.43 | c_lessequals(X0,X2,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1852]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1850,plain,
% 8.47/9.43 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X2,X0,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X2,X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3752_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8597,plain,
% 8.47/9.43 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X2,X0,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X2,X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1850]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8598,plain,
% 8.47/9.43 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 8.47/9.43 | c_lessequals(X0,X2,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X0,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8597]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1846,plain,
% 8.47/9.43 ( c_lessequals(X0,X1,X2)
% 8.47/9.43 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3753_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8589,plain,
% 8.47/9.43 ( c_lessequals(X0,X1,X2)
% 8.47/9.43 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1846]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8590,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 8.47/9.43 | c_lessequals(X2,X1,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8589]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1844,plain,
% 8.47/9.43 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3754_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8585,plain,
% 8.47/9.43 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1844]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8586,plain,
% 8.47/9.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.43 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8585]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1841,plain,
% 8.47/9.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X0,X0,X1)),c_HOL_Otimes__class_Otimes(X2,X2,X1)) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3755_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8579,plain,
% 8.47/9.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X0,X0,X1)),c_HOL_Otimes__class_Otimes(X2,X2,X1)) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1841]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8580,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.43 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8579]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1838,plain,
% 8.47/9.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X0,X0,X1)) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3756_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8573,plain,
% 8.47/9.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),c_HOL_Otimes__class_Otimes(X2,X2,X1)),c_HOL_Otimes__class_Otimes(X0,X0,X1)) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1838]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8574,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0)),c_HOL_Otimes__class_Otimes(X2,X2,X0)) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.43 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8573]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1826,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3760_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8549,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1826]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8550,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 8.47/9.43 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8549]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1806,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3765_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8509,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1806]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8510,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.47/9.43 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8509]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1802,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3766_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8501,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1802]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8502,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 8.47/9.43 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8501]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1798,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3767_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8493,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1798]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8494,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.47/9.43 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8493]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1794,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3768_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8485,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1794]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8486,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 8.47/9.43 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8485]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1785,plain,
% 8.47/9.43 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3771_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8467,plain,
% 8.47/9.43 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1785]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8468,plain,
% 8.47/9.43 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 8.47/9.43 | c_lessequals(X1,X2,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8467]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1751,plain,
% 8.47/9.43 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3780_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8399,plain,
% 8.47/9.43 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X4,X2),X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1751]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8400,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.43 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8399]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1748,plain,
% 8.47/9.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X0,X1)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 8.47/9.43 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3781_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8393,plain,
% 8.47/9.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X3,X0,X1)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 8.47/9.43 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1748]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8394,plain,
% 8.47/9.43 ( ~ class_Divides_Osemiring__div(X0)
% 8.47/9.43 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X3,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),c_Divides_Odiv__class_Odiv(X1,X3,X0))
% 8.47/9.43 | X3 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8393]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1745,plain,
% 8.47/9.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X0,X3,X1)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 8.47/9.43 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3782_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8387,plain,
% 8.47/9.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),c_HOL_Otimes__class_Otimes(X0,X3,X1)),X0,X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X3),c_Divides_Odiv__class_Odiv(X2,X0,X1))
% 8.47/9.43 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1745]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8388,plain,
% 8.47/9.43 ( ~ class_Divides_Osemiring__div(X0)
% 8.47/9.43 | c_Divides_Odiv__class_Odiv(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)),X2,X0) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),c_Divides_Odiv__class_Odiv(X1,X2,X0))
% 8.47/9.43 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8387]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1742,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3783_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8381,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1742]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8382,plain,
% 8.47/9.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8381]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1732,plain,
% 8.47/9.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 8.47/9.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3786_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8361,plain,
% 8.47/9.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0)
% 8.47/9.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1732]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8362,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X1,X3,X0)) = c_HOL_Otimes__class_Otimes(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8361]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1730,plain,
% 8.47/9.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 8.47/9.43 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3787_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8357,plain,
% 8.47/9.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 8.47/9.43 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1730]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8358,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8357]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1726,plain,
% 8.47/9.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 8.47/9.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3789_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8349,plain,
% 8.47/9.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0)
% 8.47/9.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1726]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8350,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0)),c_HOL_Otimes__class_Otimes(X3,X2,X0)) = c_HOL_Otimes__class_Otimes(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X2,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8349]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1724,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3790_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8345,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1724]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8346,plain,
% 8.47/9.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8345]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1722,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3791_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8341,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1722]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8342,plain,
% 8.47/9.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8341]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1717,plain,
% 8.47/9.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | X2 = X3
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),c_HOL_Otimes__class_Otimes(X0,X2,X1)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),c_HOL_Otimes__class_Otimes(X0,X3,X1))
% 8.47/9.43 | ~ class_Int_Onumber__ring(X1)
% 8.47/9.43 | ~ class_Ring__and__Field_Oidom(X1) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3792_4) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8331,plain,
% 8.47/9.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.43 | X2 = X3
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),c_HOL_Otimes__class_Otimes(X0,X2,X1)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X4),c_HOL_Otimes__class_Otimes(X0,X3,X1))
% 8.47/9.43 | ~ class_Int_Onumber__ring(X1)
% 8.47/9.43 | ~ class_Ring__and__Field_Oidom(X1) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1717]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8332,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oidom(X0)
% 8.47/9.43 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X3,X0)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Otimes__class_Otimes(X2,X4,X0))
% 8.47/9.43 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.43 | X3 = X4 ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8331]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1715,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3793_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8327,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1715]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8328,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8327]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1707,plain,
% 8.47/9.43 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X0,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X2,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3795_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8311,plain,
% 8.47/9.43 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X0,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X2,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1707]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1704,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.43 | 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)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3796_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8305,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.43 | 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)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1704]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8306,plain,
% 8.47/9.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.43 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8305]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1702,plain,
% 8.47/9.43 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3798_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8301,plain,
% 8.47/9.43 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1702]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8302,plain,
% 8.47/9.43 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 8.47/9.43 | c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8301]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1700,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3799_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8297,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat),tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1700]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8298,plain,
% 8.47/9.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 8.47/9.43 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8297]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1698,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3802_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8293,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1698]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8294,plain,
% 8.47/9.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8293]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1696,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3803_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8289,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1696]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8290,plain,
% 8.47/9.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8289]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1692,plain,
% 8.47/9.43 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.47/9.43 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 8.47/9.43 | ~ c_lessequals(X4,X3,X1)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3804_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8281,plain,
% 8.47/9.43 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.47/9.43 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 8.47/9.43 | ~ c_lessequals(X4,X3,X1)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1692]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1689,plain,
% 8.47/9.43 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.43 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3805_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8275,plain,
% 8.47/9.43 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.43 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1689]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8276,plain,
% 8.47/9.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.43 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.43 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8275]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1687,plain,
% 8.47/9.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | 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)
% 8.47/9.43 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3808_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8271,plain,
% 8.47/9.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | 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)
% 8.47/9.43 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1687]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8272,plain,
% 8.47/9.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(X0,X2,tc_nat)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8271]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1682,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ c_lessequals(X2,X0,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3810_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8261,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ c_lessequals(X2,X0,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1682]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8262,plain,
% 8.47/9.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8261]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1679,plain,
% 8.47/9.43 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.43 | X1 = X2
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3811_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8255,plain,
% 8.47/9.43 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.43 | X1 = X2
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1679]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8256,plain,
% 8.47/9.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat)) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Otimes__class_Otimes(X1,X3,tc_nat))
% 8.47/9.43 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.43 | X2 = X3 ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8255]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1673,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ 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)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3813_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8243,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ 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)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1673]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8244,plain,
% 8.47/9.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.47/9.43 | ~ 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)
% 8.47/9.43 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8243]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1670,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ 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)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3814_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8237,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.43 | ~ 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)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1670]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8238,plain,
% 8.47/9.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.47/9.43 | ~ 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)
% 8.47/9.43 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8237]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1667,plain,
% 8.47/9.43 ( c_lessequals(X0,X1,X2)
% 8.47/9.43 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3815_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8231,plain,
% 8.47/9.43 ( c_lessequals(X0,X1,X2)
% 8.47/9.43 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1667]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8232,plain,
% 8.47/9.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.47/9.43 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 8.47/9.43 | c_lessequals(X2,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8231]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1664,plain,
% 8.47/9.43 ( c_lessequals(X0,X1,X2)
% 8.47/9.43 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3816_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8225,plain,
% 8.47/9.43 ( c_lessequals(X0,X1,X2)
% 8.47/9.43 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1664]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8226,plain,
% 8.47/9.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.47/9.43 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 8.47/9.43 | c_lessequals(X1,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8225]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1662,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3817_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8221,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1662]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1660,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3818_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8217,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1660]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1657,plain,
% 8.47/9.43 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 8.47/9.43 | ~ c_lessequals(X2,X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3819_2) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8211,plain,
% 8.47/9.43 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 8.47/9.43 | ~ c_lessequals(X2,X1,tc_nat)
% 8.47/9.43 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1657]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8212,plain,
% 8.47/9.43 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 8.47/9.43 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 8.47/9.43 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8211]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1655,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3820_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8207,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1655]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8208,plain,
% 8.47/9.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 8.47/9.43 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8207]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1653,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3821_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8203,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1653]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8204,plain,
% 8.47/9.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 8.47/9.43 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8203]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1643,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3823_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8183,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1643]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8184,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8183]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1627,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3827_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8151,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1627]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8152,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8151]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1631,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3826_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8159,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1631]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8160,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8159]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1615,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3830_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8127,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1615]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8128,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8127]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1603,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3833_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8103,plain,
% 8.47/9.43 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1603]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1599,plain,
% 8.47/9.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.47/9.43 | ~ c_lessequals(X1,X3,X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3834_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8095,plain,
% 8.47/9.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.47/9.43 | ~ c_lessequals(X1,X3,X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1599]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8096,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.47/9.43 | ~ c_lessequals(X2,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8095]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1595,plain,
% 8.47/9.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.47/9.43 | ~ c_lessequals(X1,X3,X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3835_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8087,plain,
% 8.47/9.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 8.47/9.43 | ~ c_lessequals(X1,X3,X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1595]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8088,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 8.47/9.43 | ~ c_lessequals(X2,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8087]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1591,plain,
% 8.47/9.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3836_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8079,plain,
% 8.47/9.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1591]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8080,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 8.47/9.43 | ~ c_lessequals(X2,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8079]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1571,plain,
% 8.47/9.43 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3841_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8039,plain,
% 8.47/9.43 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 8.47/9.43 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1571]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8040,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.43 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 8.47/9.43 | ~ c_lessequals(X1,X3,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8039]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1569,plain,
% 8.47/9.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3842_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8035,plain,
% 8.47/9.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.43 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1569]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8036,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 8.47/9.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8035]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1567,plain,
% 8.47/9.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,tc_nat),tc_nat),X1,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3843_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8031,plain,
% 8.47/9.43 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,c_Divides_Odiv__class_Odiv(X1,X0,tc_nat),tc_nat),X1,tc_nat)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1567]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1563,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.43 | ~ c_lessequals(X2,X4,X0)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3844_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8023,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.43 | ~ c_lessequals(X2,X4,X0)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1563]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8024,plain,
% 8.47/9.43 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 8.47/9.43 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.43 | 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)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8023]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1555,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3846_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8007,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1555]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8008,plain,
% 8.47/9.43 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 8.47/9.43 | 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)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.43 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_8007]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1551,plain,
% 8.47/9.43 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 8.47/9.43 | ~ c_lessequals(X1,X3,X0)
% 8.47/9.43 | ~ c_lessequals(X2,X4,X0)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3847_3) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7999,plain,
% 8.47/9.43 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 8.47/9.43 | ~ c_lessequals(X1,X3,X0)
% 8.47/9.43 | ~ c_lessequals(X2,X4,X0)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1551]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_8000,plain,
% 8.47/9.43 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 8.47/9.43 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 8.47/9.43 | ~ c_lessequals(X1,X3,X0)
% 8.47/9.43 | ~ c_lessequals(X2,X4,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_7999]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1549,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3848_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7995,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1549]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7996,plain,
% 8.47/9.43 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_7995]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1547,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3849_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7991,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1547]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7992,plain,
% 8.47/9.43 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_7991]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1545,plain,
% 8.47/9.43 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3850_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7987,plain,
% 8.47/9.43 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 8.47/9.43 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1545]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7988,plain,
% 8.47/9.43 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.43 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_7987]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1543,plain,
% 8.47/9.43 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 8.47/9.43 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3851_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7983,plain,
% 8.47/9.43 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 8.47/9.43 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1543]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7984,plain,
% 8.47/9.43 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 8.47/9.43 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0) = c_Power_Opower__class_Opower(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_7983]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1541,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3852_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7979,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1541]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7980,plain,
% 8.47/9.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_7979]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1539,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3853_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7975,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1539]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7976,plain,
% 8.47/9.43 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.43 | 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) ),
% 8.47/9.43 inference(rewriting,[status(thm)],[c_7975]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_1537,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.43 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3854_1) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7971,plain,
% 8.47/9.43 ( 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)
% 8.47/9.43 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.43 inference(copy,[status(esa)],[c_1537]) ).
% 8.47/9.43
% 8.47/9.43 cnf(c_7972,plain,
% 8.47/9.43 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.43 | 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) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7971]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1535,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3855_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7967,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1535]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7968,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 8.47/9.44 | 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) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7967]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1520,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3860_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7937,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1520]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7938,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7937]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1523,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3859_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7943,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1523]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7944,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7943]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1512,plain,
% 8.47/9.44 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.44 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3863_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7921,plain,
% 8.47/9.44 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.44 | ~ hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1512]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1509,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X0,X2,tc_nat)
% 8.47/9.44 | ~ c_lessequals(X1,X3,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3864_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7915,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X0,X2,tc_nat)
% 8.47/9.44 | ~ c_lessequals(X1,X3,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1509]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1506,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 8.47/9.44 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3865_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7909,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 8.47/9.44 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1506]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7910,plain,
% 8.47/9.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.44 | 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7909]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1503,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3866_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7903,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1503]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1493,plain,
% 8.47/9.44 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X2,X1,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3869_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7883,plain,
% 8.47/9.44 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X2,X1,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1493]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1491,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.44 | ~ 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) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3870_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7879,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.44 | ~ 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) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1491]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7880,plain,
% 8.47/9.44 ( ~ 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)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7879]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1489,plain,
% 8.47/9.44 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.44 | ~ 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) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3871_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7875,plain,
% 8.47/9.44 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.44 | ~ 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) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1489]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7876,plain,
% 8.47/9.44 ( ~ 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)
% 8.47/9.44 | c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7875]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1487,plain,
% 8.47/9.44 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2)
% 8.47/9.44 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3872_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7871,plain,
% 8.47/9.44 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2)
% 8.47/9.44 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1487]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7872,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 8.47/9.44 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7871]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1485,plain,
% 8.47/9.44 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2)
% 8.47/9.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3873_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7867,plain,
% 8.47/9.44 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X0,X3,X2),X2) = c_Power_Opower__class_Opower(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X3),X2)
% 8.47/9.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1485]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7868,plain,
% 8.47/9.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.44 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0) = c_Power_Opower__class_Opower(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7867]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1479,plain,
% 8.47/9.44 ( 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))
% 8.47/9.44 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3876_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7855,plain,
% 8.47/9.44 ( 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))
% 8.47/9.44 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1479]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7856,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 8.47/9.44 | 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)) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7855]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1477,plain,
% 8.47/9.44 ( 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))
% 8.47/9.44 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3877_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7851,plain,
% 8.47/9.44 ( 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))
% 8.47/9.44 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1477]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7852,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 8.47/9.44 | 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)) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7851]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1475,plain,
% 8.47/9.44 ( 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))
% 8.47/9.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3878_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7847,plain,
% 8.47/9.44 ( 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))
% 8.47/9.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1475]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7848,plain,
% 8.47/9.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.44 | 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)) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7847]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1473,plain,
% 8.47/9.44 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3882_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7843,plain,
% 8.47/9.44 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1473]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7844,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7843]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1470,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3883_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7837,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1470]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1467,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_lessequals(X0,X2,tc_nat)
% 8.47/9.44 | ~ c_lessequals(X1,X3,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3884_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7831,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_lessequals(X0,X2,tc_nat)
% 8.47/9.44 | ~ c_lessequals(X1,X3,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1467]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1443,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3890_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7783,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1443]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1428,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3894_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7753,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1428]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1426,plain,
% 8.47/9.44 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3895_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7749,plain,
% 8.47/9.44 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1426]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7750,plain,
% 8.47/9.44 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 8.47/9.44 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7749]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1423,plain,
% 8.47/9.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 8.47/9.44 | 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)
% 8.47/9.44 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3897_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7743,plain,
% 8.47/9.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 8.47/9.44 | 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)
% 8.47/9.44 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1423]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7744,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 8.47/9.44 | 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)
% 8.47/9.44 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7743]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1421,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3898_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7739,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1421]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7740,plain,
% 8.47/9.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.44 | 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) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7739]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1419,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3899_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7735,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1419]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7736,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7735]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1417,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 8.47/9.44 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3900_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7731,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 8.47/9.44 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1417]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1413,plain,
% 8.47/9.44 ( 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))
% 8.47/9.44 | ~ c_lessequals(X2,X1,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3902_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7723,plain,
% 8.47/9.44 ( 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))
% 8.47/9.44 | ~ c_lessequals(X2,X1,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1413]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7724,plain,
% 8.47/9.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.44 | 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)) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7723]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1410,plain,
% 8.47/9.44 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.47/9.44 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3903_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7717,plain,
% 8.47/9.44 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.47/9.44 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1410]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1407,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3904_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7711,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1407]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1406,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3905_0) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7709,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1406]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1403,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3905_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7703,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1403]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7704,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7703]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1402,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3906_0) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7701,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1402]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1399,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3906_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7695,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1399]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7696,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7695]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1398,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 8.47/9.44 | c_lessequals(X2,X3,X0)
% 8.47/9.44 | c_lessequals(X1,X3,X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3907_0) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7693,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 8.47/9.44 | c_lessequals(X2,X3,X0)
% 8.47/9.44 | c_lessequals(X1,X3,X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1398]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1395,plain,
% 8.47/9.44 ( c_lessequals(X0,X1,X2)
% 8.47/9.44 | c_lessequals(X3,X1,X2)
% 8.47/9.44 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3907_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7687,plain,
% 8.47/9.44 ( c_lessequals(X0,X1,X2)
% 8.47/9.44 | c_lessequals(X3,X1,X2)
% 8.47/9.44 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1395]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7688,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 8.47/9.44 | c_lessequals(X1,X3,X0)
% 8.47/9.44 | c_lessequals(X2,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7687]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1394,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 8.47/9.44 | c_lessequals(X1,X3,X0)
% 8.47/9.44 | c_lessequals(X1,X2,X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3908_0) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7685,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 8.47/9.44 | c_lessequals(X1,X3,X0)
% 8.47/9.44 | c_lessequals(X1,X2,X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1394]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1391,plain,
% 8.47/9.44 ( c_lessequals(X0,X1,X2)
% 8.47/9.44 | c_lessequals(X0,X3,X2)
% 8.47/9.44 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3908_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7679,plain,
% 8.47/9.44 ( c_lessequals(X0,X1,X2)
% 8.47/9.44 | c_lessequals(X0,X3,X2)
% 8.47/9.44 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1391]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7680,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 8.47/9.44 | c_lessequals(X1,X2,X0)
% 8.47/9.44 | c_lessequals(X1,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7679]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1389,plain,
% 8.47/9.44 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 8.47/9.44 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3909_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7675,plain,
% 8.47/9.44 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 8.47/9.44 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1389]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7676,plain,
% 8.47/9.44 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 8.47/9.44 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7675]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1387,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3910_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7671,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1387]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1385,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3911_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7667,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat),c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1385]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1381,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3912_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7659,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1381]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1373,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3914_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7643,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1373]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1369,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3915_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7635,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1369]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1365,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3916_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7627,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1365]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1361,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3917_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7619,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1361]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7620,plain,
% 8.47/9.44 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 8.47/9.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7619]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1349,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3920_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7595,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1349]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7596,plain,
% 8.47/9.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7595]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1333,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.44 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.44 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3924_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7563,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.44 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 8.47/9.44 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1333]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7564,plain,
% 8.47/9.44 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7563]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1317,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3928_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7531,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1317]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1313,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3929_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7523,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1313]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7524,plain,
% 8.47/9.44 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7523]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1311,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3931_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7519,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1311]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7520,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7519]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1308,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3932_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7513,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1308]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7514,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7513]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1303,plain,
% 8.47/9.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3934_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7503,plain,
% 8.47/9.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1303]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7504,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.44 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7503]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1299,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3935_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7495,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1299]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7496,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7495]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1291,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3937_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7479,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1291]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7480,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7479]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1287,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3938_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7471,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1287]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7472,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.44 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7471]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1279,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3940_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7455,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1279]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7456,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7455]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1275,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3941_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7447,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1275]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7448,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.44 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.44 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7447]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1255,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 8.47/9.44 | ~ c_lessequals(X0,X3,X1)
% 8.47/9.44 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3945_4) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7407,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 8.47/9.44 | ~ c_lessequals(X0,X3,X1)
% 8.47/9.44 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1255]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7408,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.47/9.44 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 8.47/9.44 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7407]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1252,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3946_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7401,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1252]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7402,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.47/9.44 | 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7401]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1249,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3947_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7395,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1249]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7396,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 8.47/9.44 | 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7395]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1246,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3948_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7389,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1246]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7390,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.47/9.44 | 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7389]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1243,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3949_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7383,plain,
% 8.47/9.44 ( 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1243]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7384,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 8.47/9.44 | 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)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7383]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1240,plain,
% 8.47/9.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 8.47/9.44 | ~ c_lessequals(X2,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3950_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7377,plain,
% 8.47/9.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 8.47/9.44 | ~ c_lessequals(X2,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1240]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7378,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 8.47/9.44 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 8.47/9.44 | ~ c_lessequals(X2,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7377]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1237,plain,
% 8.47/9.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 8.47/9.44 | ~ c_lessequals(X1,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3951_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7371,plain,
% 8.47/9.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 8.47/9.44 | ~ c_lessequals(X1,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1237]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7372,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 8.47/9.44 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 8.47/9.44 | ~ c_lessequals(X1,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7371]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1234,plain,
% 8.47/9.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 8.47/9.44 | ~ c_lessequals(X2,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3952_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7365,plain,
% 8.47/9.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 8.47/9.44 | ~ c_lessequals(X2,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1234]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7366,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.47/9.44 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 8.47/9.44 | ~ c_lessequals(X2,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7365]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1231,plain,
% 8.47/9.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 8.47/9.44 | ~ c_lessequals(X1,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3953_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7359,plain,
% 8.47/9.44 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 8.47/9.44 | ~ c_lessequals(X1,X3,X0)
% 8.47/9.44 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1231]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7360,plain,
% 8.47/9.44 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 8.47/9.44 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 8.47/9.44 | ~ c_lessequals(X1,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7359]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1221,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3957_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7339,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1221]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1219,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3958_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7335,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1219]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1217,plain,
% 8.47/9.44 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3959_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7331,plain,
% 8.47/9.44 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),c_Divides_Odiv__class_Odiv(X2,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1217]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1215,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3960_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7327,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1215]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1213,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X2,X1,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3961_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7323,plain,
% 8.47/9.44 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_lessequals(X2,X1,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1213]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1212,plain,
% 8.47/9.44 ( ~ 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)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3962_0) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7321,plain,
% 8.47/9.44 ( ~ 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)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1212]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1210,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.44 | ~ 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) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3962_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7317,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.44 | ~ 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) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1210]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7318,plain,
% 8.47/9.44 ( ~ 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)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7317]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1198,plain,
% 8.47/9.44 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 8.47/9.44 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.44 | ~ c_lessequals(X1,X3,X2)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3965_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7293,plain,
% 8.47/9.44 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 8.47/9.44 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.44 | ~ c_lessequals(X1,X3,X2)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1198]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7294,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 8.47/9.44 | ~ c_lessequals(X1,X3,X0)
% 8.47/9.44 | ~ c_lessequals(X2,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7293]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1186,plain,
% 8.47/9.44 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 8.47/9.44 | ~ c_lessequals(X0,X1,X3)
% 8.47/9.44 | ~ c_lessequals(X0,X2,X3)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3968_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7269,plain,
% 8.47/9.44 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 8.47/9.44 | ~ c_lessequals(X0,X1,X3)
% 8.47/9.44 | ~ c_lessequals(X0,X2,X3)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1186]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7270,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 8.47/9.44 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.44 | ~ c_lessequals(X1,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7269]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1182,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3969_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7261,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1182]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7262,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7261]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1178,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3970_3) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7253,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.47/9.44 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1178]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7254,plain,
% 8.47/9.44 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7253]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1175,plain,
% 8.47/9.44 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 8.47/9.44 | ~ c_Type_Otyping(X0,X1,c_Type_Otype_OFun(X4,X3))
% 8.47/9.44 | ~ c_Type_Otyping(X0,X2,X4) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3971_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7247,plain,
% 8.47/9.44 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 8.47/9.44 | ~ c_Type_Otyping(X0,X1,c_Type_Otype_OFun(X4,X3))
% 8.47/9.44 | ~ c_Type_Otyping(X0,X2,X4) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1175]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1171,plain,
% 8.47/9.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 8.47/9.44 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3973_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7239,plain,
% 8.47/9.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 8.47/9.44 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1171]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7240,plain,
% 8.47/9.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.44 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7239]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1168,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3974_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7233,plain,
% 8.47/9.44 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1168]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1161,plain,
% 8.47/9.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 8.47/9.44 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3976_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7219,plain,
% 8.47/9.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Otimes__class_Otimes(X3,X0,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 8.47/9.44 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1161]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7220,plain,
% 8.47/9.44 ( ~ class_Divides_Osemiring__div(X0)
% 8.47/9.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) = c_Divides_Odiv__class_Odiv(X1,X3,X0)
% 8.47/9.44 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7219]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1158,plain,
% 8.47/9.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 8.47/9.44 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3977_2) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7213,plain,
% 8.47/9.44 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),c_HOL_Otimes__class_Otimes(X0,X3,X1),X1) = c_Divides_Odiv__class_Odiv(X2,X3,X1)
% 8.47/9.44 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1158]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7214,plain,
% 8.47/9.44 ( ~ class_Divides_Osemiring__div(X0)
% 8.47/9.44 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) = c_Divides_Odiv__class_Odiv(X2,X3,X0)
% 8.47/9.44 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7213]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1156,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3978_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7209,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1156]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7210,plain,
% 8.47/9.44 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.44 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.44 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7209]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1153,plain,
% 8.47/9.44 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.47/9.44 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3980_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7203,plain,
% 8.47/9.44 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.47/9.44 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1153]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7204,plain,
% 8.47/9.44 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.47/9.44 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7203]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1151,plain,
% 8.47/9.44 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.47/9.44 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3981_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7199,plain,
% 8.47/9.44 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 8.47/9.44 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1151]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7200,plain,
% 8.47/9.44 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.47/9.44 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7199]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1147,plain,
% 8.47/9.44 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 8.47/9.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 8.47/9.44 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3983_1) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7191,plain,
% 8.47/9.44 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X2,X3),X3) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X0,X2,X3),X3)
% 8.47/9.44 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 8.47/9.44 inference(copy,[status(esa)],[c_1147]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_7192,plain,
% 8.47/9.44 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.44 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) = c_HOL_Otimes__class_Otimes(X2,c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 8.47/9.44 inference(rewriting,[status(thm)],[c_7191]) ).
% 8.47/9.44
% 8.47/9.44 cnf(c_1143,plain,
% 8.47/9.44 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3985_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7183,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1143]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7184,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.45 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7183]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1141,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3986_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7179,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X3,X2),X1,X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1141]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7180,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.45 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X3,X0),X2,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7179]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1139,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.47/9.45 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3987_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7175,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X0,X1,X2),X3,X2) = c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 8.47/9.45 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1139]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7176,plain,
% 8.47/9.45 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 8.47/9.45 | c_HOL_Otimes__class_Otimes(c_HOL_Otimes__class_Otimes(X1,X2,X0),X3,X0) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7175]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1137,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3988_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7171,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1137]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7172,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | 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) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7171]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1135,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3989_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7167,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1135]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7168,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | 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) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7167]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1133,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3990_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7163,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1133]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7164,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | 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) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7163]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1131,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3991_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7159,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1131]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7160,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | 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) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7159]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1129,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 8.47/9.45 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3992_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7155,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2)
% 8.47/9.45 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1129]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7156,plain,
% 8.47/9.45 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 8.47/9.45 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7155]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1127,plain,
% 8.47/9.45 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 8.47/9.45 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3993_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7151,plain,
% 8.47/9.45 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 8.47/9.45 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1127]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7152,plain,
% 8.47/9.45 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 8.47/9.45 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7151]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1125,plain,
% 8.47/9.45 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3994_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7147,plain,
% 8.47/9.45 ( c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X0,X1,X2),X3,X2) = c_Power_Opower__class_Opower(X0,c_HOL_Otimes__class_Otimes(X1,X3,tc_nat),X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1125]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7148,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.45 | c_Power_Opower__class_Opower(c_Power_Opower__class_Opower(X1,X2,X0),X3,X0) = c_Power_Opower__class_Opower(X1,c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7147]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1117,plain,
% 8.47/9.45 ( 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
% 8.47/9.45 | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3997_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7131,plain,
% 8.47/9.45 ( 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
% 8.47/9.45 | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1117]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7132,plain,
% 8.47/9.45 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 8.47/9.45 | 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 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7131]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1084,plain,
% 8.47/9.45 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.45 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4008_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7065,plain,
% 8.47/9.45 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.45 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1084]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7066,plain,
% 8.47/9.45 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) = c_Divides_Odiv__class_Odiv(X1,X2,tc_nat)
% 8.47/9.45 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7065]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1082,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4009_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7061,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1082]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1080,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4010_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7057,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1080]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1078,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4011_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7053,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1078]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1076,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4012_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7049,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1076]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1074,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4013_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7045,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1074]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7046,plain,
% 8.47/9.45 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 8.47/9.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7045]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1072,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4014_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7041,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1072]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7042,plain,
% 8.47/9.45 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 8.47/9.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7041]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1063,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4017_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7023,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1063]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7024,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 8.47/9.45 | c_lessequals(X1,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7023]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1060,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4018_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7017,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1060]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7018,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 8.47/9.45 | c_lessequals(X2,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7017]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1057,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4019_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7011,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1057]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7012,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7011]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1054,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4020_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7005,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1054]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7006,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_7005]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1051,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4021_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6999,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1051]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_7000,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6999]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1048,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4022_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6993,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1048]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6994,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6993]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1039,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4025_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6975,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1039]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6976,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 8.47/9.45 | c_lessequals(X1,X2,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6975]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1036,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4026_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6969,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1036]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6970,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 8.47/9.45 | c_lessequals(X1,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6969]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1034,plain,
% 8.47/9.45 ( 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))
% 8.47/9.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4027_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6965,plain,
% 8.47/9.45 ( 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))
% 8.47/9.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1034]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6966,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.45 | 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)) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6965]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1032,plain,
% 8.47/9.45 ( 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))
% 8.47/9.45 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4028_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6961,plain,
% 8.47/9.45 ( 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))
% 8.47/9.45 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1032]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6962,plain,
% 8.47/9.45 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 8.47/9.45 | 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)) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6961]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1030,plain,
% 8.47/9.45 ( 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))
% 8.47/9.45 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4029_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6957,plain,
% 8.47/9.45 ( 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))
% 8.47/9.45 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1030]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6958,plain,
% 8.47/9.45 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 8.47/9.45 | 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)) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6957]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1027,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 8.47/9.45 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4030_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6951,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 8.47/9.45 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1027]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6952,plain,
% 8.47/9.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6951]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1022,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4036_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6941,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1022]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6942,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.47/9.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6941]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1020,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4037_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6937,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1020]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6938,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 8.47/9.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6937]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1016,plain,
% 8.47/9.45 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 8.47/9.45 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4039_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6929,plain,
% 8.47/9.45 ( hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)))
% 8.47/9.45 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1016]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6930,plain,
% 8.47/9.45 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.45 | hBOOL(hAPP(X0,c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat))) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6929]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1014,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4042_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6925,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1014]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6926,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6925]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_1012,plain,
% 8.47/9.45 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.45 | ~ class_Divides_Osemiring__div(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4043_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6921,plain,
% 8.47/9.45 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.45 | ~ class_Divides_Osemiring__div(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_1012]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6922,plain,
% 8.47/9.45 ( ~ class_Divides_Osemiring__div(X0)
% 8.47/9.45 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0),c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X2,X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6921]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_998,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4047_3) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6893,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_998]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6894,plain,
% 8.47/9.45 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 8.47/9.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | 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) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6893]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_995,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 8.47/9.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4050_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6887,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 8.47/9.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_995]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_993,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4051_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6883,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_993]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6884,plain,
% 8.47/9.45 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 8.47/9.45 | c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6883]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_991,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4052_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6879,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_991]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6880,plain,
% 8.47/9.45 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 8.47/9.45 | c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6879]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_989,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4053_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6875,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_989]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6876,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6875]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_987,plain,
% 8.47/9.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 8.47/9.45 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4055_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6871,plain,
% 8.47/9.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 8.47/9.45 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_987]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6872,plain,
% 8.47/9.45 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 8.47/9.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6871]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_985,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4057_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6867,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_985]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_982,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4058_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6861,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_982]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6862,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6861]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_979,plain,
% 8.47/9.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 8.47/9.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4059_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6855,plain,
% 8.47/9.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 8.47/9.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_979]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6856,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.45 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 8.47/9.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6855]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_976,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4063_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6849,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_976]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_973,plain,
% 8.47/9.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4064_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6843,plain,
% 8.47/9.45 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_973]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_970,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4065_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6837,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_970]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_967,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4066_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6831,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 8.47/9.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_967]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_964,plain,
% 8.47/9.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 8.47/9.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4067_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6825,plain,
% 8.47/9.45 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 8.47/9.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 8.47/9.45 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_964]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_961,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4068_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6819,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_961]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_958,plain,
% 8.47/9.45 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.45 | ~ c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4069_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6813,plain,
% 8.47/9.45 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 8.47/9.45 | ~ c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_958]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_956,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4070_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6809,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_956]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6810,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6809]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_934,plain,
% 8.47/9.45 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 8.47/9.45 | ~ c_lessequals(X0,X1,X3)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4077_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6765,plain,
% 8.47/9.45 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 8.47/9.45 | ~ c_lessequals(X0,X1,X3)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_934]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6766,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6765]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_931,plain,
% 8.47/9.45 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 8.47/9.45 | ~ c_lessequals(X0,X2,X3)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4078_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6759,plain,
% 8.47/9.45 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 8.47/9.45 | ~ c_lessequals(X0,X2,X3)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_931]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6760,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 8.47/9.45 | ~ c_lessequals(X1,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6759]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_928,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4079_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6753,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_928]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6754,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6753]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_925,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4080_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6747,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_925]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6748,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6747]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_916,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4083_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6729,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_916]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6730,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6729]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_913,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4084_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6723,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X3) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_913]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6724,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6723]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_904,plain,
% 8.47/9.45 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 8.47/9.45 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4087_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6705,plain,
% 8.47/9.45 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 8.47/9.45 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_904]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6706,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 8.47/9.45 | ~ c_lessequals(X1,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6705]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_901,plain,
% 8.47/9.45 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 8.47/9.45 | ~ c_lessequals(X1,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4088_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6699,plain,
% 8.47/9.45 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 8.47/9.45 | ~ c_lessequals(X1,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_901]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6700,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 8.47/9.45 | ~ c_lessequals(X2,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6699]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_899,plain,
% 8.47/9.45 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4092_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6695,plain,
% 8.47/9.45 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_899]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6696,plain,
% 8.47/9.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6695]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_897,plain,
% 8.47/9.45 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 8.47/9.45 | ~ c_Lambda_Obeta(X0,X3) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4093_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6691,plain,
% 8.47/9.45 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 8.47/9.45 | ~ c_Lambda_Obeta(X0,X3) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_897]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_895,plain,
% 8.47/9.45 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) = X0
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4094_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6687,plain,
% 8.47/9.45 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X1,tc_nat) = X0
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_895]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6688,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),X0,tc_nat) = X1 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6687]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_893,plain,
% 8.47/9.45 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) = X1
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4095_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6683,plain,
% 8.47/9.45 ( c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) = X1
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_893]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6684,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),X0,tc_nat) = X1 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6683]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_891,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4096_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6679,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_891]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_889,plain,
% 8.47/9.45 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 8.47/9.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4097_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6675,plain,
% 8.47/9.45 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 8.47/9.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_889]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6676,plain,
% 8.47/9.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6675]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_887,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4098_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6671,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_887]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6672,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 8.47/9.45 | 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) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6671]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_885,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4099_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6667,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_885]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_883,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4103_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6663,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_883]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_881,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4104_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6659,plain,
% 8.47/9.45 ( 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)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_881]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_879,plain,
% 8.47/9.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 8.47/9.45 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4105_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6655,plain,
% 8.47/9.45 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 8.47/9.45 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_879]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6656,plain,
% 8.47/9.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6655]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_878,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4106_0) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6653,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_878]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_875,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.45 | ~ c_lessequals(X3,X1,X2)
% 8.47/9.45 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4106_3) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6647,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.45 | ~ c_lessequals(X3,X1,X2)
% 8.47/9.45 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_875]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6648,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6647]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_870,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_lessequals(X3,X1,X0)
% 8.47/9.45 | c_lessequals(X3,X2,X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4108_0) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6637,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_lessequals(X3,X1,X0)
% 8.47/9.45 | c_lessequals(X3,X2,X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_870]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_869,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | c_lessequals(X3,X2,X0)
% 8.47/9.45 | ~ c_lessequals(X3,X1,X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4108_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6635,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | c_lessequals(X3,X2,X0)
% 8.47/9.45 | ~ c_lessequals(X3,X1,X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_869]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_867,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.45 | ~ c_lessequals(X3,X1,X2)
% 8.47/9.45 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4108_3) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6631,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.45 | ~ c_lessequals(X3,X1,X2)
% 8.47/9.45 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_867]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6632,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_lessequals(X1,X3,X0)
% 8.47/9.45 | ~ c_lessequals(X3,X2,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6631]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_862,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4110_0) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6621,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_862]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_859,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4110_3) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6615,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_859]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6616,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6615]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_858,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_lessequals(X2,X3,X0)
% 8.47/9.45 | c_lessequals(X1,X3,X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4111_0) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6613,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_lessequals(X2,X3,X0)
% 8.47/9.45 | c_lessequals(X1,X3,X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_858]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_857,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | c_lessequals(X1,X3,X0)
% 8.47/9.45 | ~ c_lessequals(X2,X3,X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4111_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6611,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | c_lessequals(X1,X3,X0)
% 8.47/9.45 | ~ c_lessequals(X2,X3,X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_857]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_855,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X3,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4111_3) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6607,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X3,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X0,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_855]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6608,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_lessequals(X3,X2,X0)
% 8.47/9.45 | ~ c_lessequals(X1,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6607]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_854,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4112_0) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6605,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_854]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_853,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4112_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6603,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_853]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_851,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4112_3) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6599,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.45 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_851]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6600,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6599]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_850,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4113_0) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6597,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_850]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_849,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4113_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6595,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_849]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_847,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.47/9.45 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4113_3) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6591,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 8.47/9.45 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_847]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6592,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6591]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_845,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(X0,X2,tc_nat),X1)
% 8.47/9.45 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4114_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6587,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(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_Otimes__class_Otimes(X0,X2,tc_nat),X1)
% 8.47/9.45 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_845]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6588,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 8.47/9.45 | c_HOL_Otimes__class_Otimes(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) = c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6587]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_843,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4115_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6583,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_843]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6584,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.45 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6583]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_837,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4118_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6571,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_837]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6572,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.45 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6571]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_835,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 8.47/9.45 | ~ class_Power_Opower(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4119_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6567,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(X0,c_Power_Opower__class_Opower(X0,X1,X2),X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 8.47/9.45 | ~ class_Power_Opower(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_835]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6568,plain,
% 8.47/9.45 ( ~ class_Power_Opower(X0)
% 8.47/9.45 | c_HOL_Otimes__class_Otimes(X1,c_Power_Opower__class_Opower(X1,X2,X0),X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6567]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_833,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 8.47/9.45 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4120_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6563,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X0,X1,X2),X0,X2) = c_Power_Opower__class_Opower(X0,c_Suc(X1),X2)
% 8.47/9.45 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_833]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6564,plain,
% 8.47/9.45 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 8.47/9.45 | c_HOL_Otimes__class_Otimes(c_Power_Opower__class_Opower(X1,X2,X0),X1,X0) = c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6563]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_830,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4121_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6557,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_830]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6558,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6557]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_827,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4122_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6551,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_827]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6552,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.45 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 8.47/9.45 | c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6551]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_821,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4124_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6539,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_821]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_815,plain,
% 8.47/9.45 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 8.47/9.45 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4127_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6527,plain,
% 8.47/9.45 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 8.47/9.45 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_815]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_813,plain,
% 8.47/9.45 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 8.47/9.45 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4128_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6523,plain,
% 8.47/9.45 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 8.47/9.45 | ~ c_lessequals(X0,X2,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_813]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_807,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4131_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6511,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_807]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_805,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4132_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6507,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_805]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_803,plain,
% 8.47/9.45 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4136_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6503,plain,
% 8.47/9.45 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_803]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6504,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6503]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_801,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 8.47/9.45 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4137_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6499,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 8.47/9.45 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_801]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6500,plain,
% 8.47/9.45 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 8.47/9.45 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6499]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_799,plain,
% 8.47/9.45 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = c_Orderings_Oord__class_Omin(X0,X1,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4138_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6495,plain,
% 8.47/9.45 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = c_Orderings_Oord__class_Omin(X0,X1,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_799]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6496,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6495]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_797,plain,
% 8.47/9.45 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4139_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6491,plain,
% 8.47/9.45 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_797]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6492,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6491]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_796,plain,
% 8.47/9.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(X2,X0,tc_nat)
% 8.47/9.45 | c_lessequals(X2,X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4140_0) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6489,plain,
% 8.47/9.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(X2,X0,tc_nat)
% 8.47/9.45 | c_lessequals(X2,X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_796]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_795,plain,
% 8.47/9.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | c_lessequals(X2,X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(X2,X0,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4140_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6487,plain,
% 8.47/9.45 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | c_lessequals(X2,X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(X2,X0,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_795]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_794,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(X0,X2,tc_nat)
% 8.47/9.45 | ~ c_lessequals(X2,X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4140_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6485,plain,
% 8.47/9.45 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.45 | ~ c_lessequals(X0,X2,tc_nat)
% 8.47/9.45 | ~ c_lessequals(X2,X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_794]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_793,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 8.47/9.45 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.45 | hBOOL(hAPP(X1,X2))
% 8.47/9.45 | hBOOL(hAPP(X1,X0)) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4141_0) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6483,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 8.47/9.45 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.45 | hBOOL(hAPP(X1,X2))
% 8.47/9.45 | hBOOL(hAPP(X1,X0)) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_793]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_790,plain,
% 8.47/9.45 ( hBOOL(hAPP(X0,X1))
% 8.47/9.45 | hBOOL(hAPP(X0,X2))
% 8.47/9.45 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4141_3) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6477,plain,
% 8.47/9.45 ( hBOOL(hAPP(X0,X1))
% 8.47/9.45 | hBOOL(hAPP(X0,X2))
% 8.47/9.45 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_790]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6478,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 8.47/9.45 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.45 | hBOOL(hAPP(X1,X0))
% 8.47/9.45 | hBOOL(hAPP(X1,X2)) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6477]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_788,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.45 | 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)) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4144_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6473,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.45 | 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)) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_788]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_786,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4145_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6469,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 8.47/9.45 inference(copy,[status(esa)],[c_786]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_784,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | c_lessequals(X2,X1,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4146_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6465,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | c_lessequals(X2,X1,X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_784]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_779,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4148_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6455,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_779]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6456,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6455]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_776,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4149_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6449,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_776]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6450,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.45 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6449]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_773,plain,
% 8.47/9.45 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 8.47/9.45 | ~ c_lessequals(X0,X2,tc_nat)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4150_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6443,plain,
% 8.47/9.45 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 8.47/9.45 | ~ c_lessequals(X0,X2,tc_nat)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_773]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6444,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.45 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,tc_nat) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6443]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_752,plain,
% 8.47/9.45 ( X0 = X1
% 8.47/9.45 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4157_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6401,plain,
% 8.47/9.45 ( X0 = X1
% 8.47/9.45 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_752]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6402,plain,
% 8.47/9.45 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 8.47/9.45 | X1 = X2 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6401]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_749,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4158_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6395,plain,
% 8.47/9.45 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.45 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_749]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6396,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 8.47/9.45 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6395]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_737,plain,
% 8.47/9.45 ( X0 = X1
% 8.47/9.45 | ~ c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X1,X0,X2)
% 8.47/9.45 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4161_3) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6371,plain,
% 8.47/9.45 ( X0 = X1
% 8.47/9.45 | ~ c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X1,X0,X2)
% 8.47/9.45 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_737]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6372,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_lessequals(X2,X1,X0)
% 8.47/9.45 | X1 = X2 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6371]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_739,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | X2 = X1
% 8.47/9.45 | ~ c_lessequals(X2,X1,X0) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4161_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6375,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | X2 = X1
% 8.47/9.45 | ~ c_lessequals(X2,X1,X0) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_739]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6376,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_lessequals(X2,X1,X0)
% 8.47/9.45 | X2 = X1 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6375]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_733,plain,
% 8.47/9.45 ( X0 = X1
% 8.47/9.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 8.47/9.45 | ~ class_Int_Onumber__ring(X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Oidom(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4163_3) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6363,plain,
% 8.47/9.45 ( X0 = X1
% 8.47/9.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 8.47/9.45 | ~ class_Int_Onumber__ring(X2)
% 8.47/9.45 | ~ class_Ring__and__Field_Oidom(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_733]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6364,plain,
% 8.47/9.45 ( ~ class_Ring__and__Field_Oidom(X0)
% 8.47/9.45 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.45 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 8.47/9.45 | X2 = X3 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6363]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_730,plain,
% 8.47/9.45 ( X0 = X1
% 8.47/9.45 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 8.47/9.45 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4164_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6357,plain,
% 8.47/9.45 ( X0 = X1
% 8.47/9.45 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 8.47/9.45 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_730]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6358,plain,
% 8.47/9.45 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 8.47/9.45 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 8.47/9.45 | X2 = X3 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6357]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_727,plain,
% 8.47/9.45 ( X0 = X1
% 8.47/9.45 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 8.47/9.45 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4165_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6351,plain,
% 8.47/9.45 ( X0 = X1
% 8.47/9.45 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 8.47/9.45 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_727]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6352,plain,
% 8.47/9.45 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 8.47/9.45 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 8.47/9.45 | X1 = X2 ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6351]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_725,plain,
% 8.47/9.45 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 8.47/9.45 | ~ c_Lambda_Obeta(X0,X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4166_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6347,plain,
% 8.47/9.45 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 8.47/9.45 | ~ c_Lambda_Obeta(X0,X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_725]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_723,plain,
% 8.47/9.45 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 8.47/9.45 | ~ c_Lambda_Obeta(X1,X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4167_1) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6343,plain,
% 8.47/9.45 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 8.47/9.45 | ~ c_Lambda_Obeta(X1,X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_723]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_717,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.45 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4169_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6331,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.45 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_717]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6332,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6331]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_714,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4170_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6325,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_714]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6326,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6325]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_711,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.45 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4171_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6319,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.45 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_711]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6320,plain,
% 8.47/9.45 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6319]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_708,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X1,X0,X2)
% 8.47/9.45 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4172_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6313,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.45 | ~ c_lessequals(X1,X0,X2)
% 8.47/9.45 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_708]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6314,plain,
% 8.47/9.45 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6313]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_702,plain,
% 8.47/9.45 ( ~ c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4174_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6301,plain,
% 8.47/9.45 ( ~ c_lessequals(X0,X1,X2)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_702]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6302,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6301]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_699,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 8.47/9.45 | ~ c_lessequals(X0,X0,X1)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X1) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4175_2) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6295,plain,
% 8.47/9.45 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 8.47/9.45 | ~ c_lessequals(X0,X0,X1)
% 8.47/9.45 | ~ class_Orderings_Olinorder(X1) ),
% 8.47/9.45 inference(copy,[status(esa)],[c_699]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_6296,plain,
% 8.47/9.45 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.45 | ~ c_lessequals(X1,X1,X0)
% 8.47/9.45 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 8.47/9.45 inference(rewriting,[status(thm)],[c_6295]) ).
% 8.47/9.45
% 8.47/9.45 cnf(c_693,plain,
% 8.47/9.45 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.45 | X1 = X2
% 8.47/9.45 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 8.47/9.45 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4177_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6283,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = X2
% 8.47/9.46 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_693]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6284,plain,
% 8.47/9.46 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = X4 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6283]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_691,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4178_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6279,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_691]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_689,plain,
% 8.47/9.46 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4179_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6275,plain,
% 8.47/9.46 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_689]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_687,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = X0
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4180_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6271,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = X0
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_687]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6272,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = X0 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6271]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_684,plain,
% 8.47/9.46 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4181_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6265,plain,
% 8.47/9.46 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_684]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_681,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 8.47/9.46 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4182_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6259,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X0,X2,X1),X0,X1) = X2
% 8.47/9.46 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_681]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6260,plain,
% 8.47/9.46 ( ~ class_Divides_Osemiring__div(X0)
% 8.47/9.46 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X1,X0) = X2
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6259]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_678,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 8.47/9.46 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4183_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6253,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X2,X0,X1),X0,X1) = X2
% 8.47/9.46 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_678]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6254,plain,
% 8.47/9.46 ( ~ class_Divides_Osemiring__div(X0)
% 8.47/9.46 | c_Divides_Odiv__class_Odiv(c_HOL_Otimes__class_Otimes(X1,X2,X0),X2,X0) = X1
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6253]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_675,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 8.47/9.46 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4184_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6247,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 8.47/9.46 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_675]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6248,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 8.47/9.46 | X1 = X3 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6247]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_672,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 8.47/9.46 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4185_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6241,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 8.47/9.46 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_672]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6242,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 8.47/9.46 | X2 = X3 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6241]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_669,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 8.47/9.46 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4186_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6235,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 8.47/9.46 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_669]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6236,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 8.47/9.46 | X2 = X3 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6235]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_667,plain,
% 8.47/9.46 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4187_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6231,plain,
% 8.47/9.46 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_667]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6232,plain,
% 8.47/9.46 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6231]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_661,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4191_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6219,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_661]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6220,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6219]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_658,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4192_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6213,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_658]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6214,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X0 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6213]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_656,plain,
% 8.47/9.46 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4193_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6209,plain,
% 8.47/9.46 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_656]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6210,plain,
% 8.47/9.46 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6209]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_653,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = X0
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4194_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6203,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = X0
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_653]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6204,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6203]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_651,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = X0
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4195_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6199,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = X0
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_651]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6200,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6199]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_649,plain,
% 8.47/9.46 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4196_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6195,plain,
% 8.47/9.46 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_649]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6196,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6195]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_647,plain,
% 8.47/9.46 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4197_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6191,plain,
% 8.47/9.46 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_647]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6192,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6191]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_645,plain,
% 8.47/9.46 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4198_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6187,plain,
% 8.47/9.46 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_645]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6188,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6187]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_643,plain,
% 8.47/9.46 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4199_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6183,plain,
% 8.47/9.46 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_643]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6184,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6183]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_640,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.46 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,X1)) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4200_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6177,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.46 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,X1)) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_640]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_638,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 8.47/9.46 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4201_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6173,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 8.47/9.46 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_638]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6174,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6173]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_635,plain,
% 8.47/9.46 ( c_Type_Otyping(X0,X1,X2)
% 8.47/9.46 | ~ c_Type_Otyping(X0,X3,X2)
% 8.47/9.46 | ~ c_Lambda_Obeta(X3,X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4202_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6167,plain,
% 8.47/9.46 ( c_Type_Otyping(X0,X1,X2)
% 8.47/9.46 | ~ c_Type_Otyping(X0,X3,X2)
% 8.47/9.46 | ~ c_Lambda_Obeta(X3,X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_635]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_630,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.46 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4208_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6157,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.46 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_630]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6158,plain,
% 8.47/9.46 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 8.47/9.46 | c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6157]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_628,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4209_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6153,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_628]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6154,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6153]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_622,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.46 | X0 = c_Suc(X1)
% 8.47/9.46 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4212_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6141,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.46 | X0 = c_Suc(X1)
% 8.47/9.46 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_622]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6142,plain,
% 8.47/9.46 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 8.47/9.46 | c_lessequals(X0,X1,tc_nat)
% 8.47/9.46 | X0 = c_Suc(X1) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6141]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_614,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.46 | X0 = X1
% 8.47/9.46 | ~ c_lessequals(X0,X1,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4214_3) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6125,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.46 | X0 = X1
% 8.47/9.46 | ~ c_lessequals(X0,X1,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_614]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6126,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.46 | X1 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6125]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_598,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.46 | X0 = X1
% 8.47/9.46 | ~ c_lessequals(X0,X1,X2)
% 8.47/9.46 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4218_3) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6093,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.46 | X0 = X1
% 8.47/9.46 | ~ c_lessequals(X0,X1,X2)
% 8.47/9.46 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_598]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6094,plain,
% 8.47/9.46 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.46 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.46 | X1 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6093]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_590,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.46 | ~ c_lessequals(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4220_3) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6077,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.46 | ~ c_lessequals(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_590]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6078,plain,
% 8.47/9.46 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.46 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.46 | X2 = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6077]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_584,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,X2)
% 8.47/9.46 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4222_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6065,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,X2)
% 8.47/9.46 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_584]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6066,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_lessequals(X1,X2,X0)
% 8.47/9.46 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6065]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_581,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,X2)
% 8.47/9.46 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4223_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6059,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,X2)
% 8.47/9.46 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_581]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6060,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_lessequals(X1,X2,X0)
% 8.47/9.46 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6059]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_579,plain,
% 8.47/9.46 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 8.47/9.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4224_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6055,plain,
% 8.47/9.46 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 8.47/9.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_579]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_575,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4226_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6047,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_575]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_569,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | X1 = X0
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4228_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6035,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | X1 = X0
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_569]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6036,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | X1 = X0 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6035]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_566,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | X0 = X1
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4229_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6029,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | X0 = X1
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_566]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6030,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | X0 = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6029]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_563,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X1
% 8.47/9.46 | ~ c_lessequals(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4230_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6023,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X1
% 8.47/9.46 | ~ c_lessequals(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_563]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6024,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.46 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6023]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_560,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X0
% 8.47/9.46 | ~ c_lessequals(X0,X1,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4231_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6017,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X0
% 8.47/9.46 | ~ c_lessequals(X0,X1,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_560]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6018,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.46 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6017]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_557,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 8.47/9.46 | ~ c_lessequals(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4232_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6011,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 8.47/9.46 | ~ c_lessequals(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_557]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6012,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.46 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6011]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_554,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 8.47/9.46 | ~ c_lessequals(X0,X1,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4233_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6005,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 8.47/9.46 | ~ c_lessequals(X0,X1,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_554]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6006,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | ~ c_lessequals(X1,X2,X0)
% 8.47/9.46 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6005]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_552,plain,
% 8.47/9.46 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4234_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6001,plain,
% 8.47/9.46 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_552]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_6002,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_6001]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_550,plain,
% 8.47/9.46 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4235_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5997,plain,
% 8.47/9.46 ( c_Lambda_Oliftn(X0,c_Lambda_OdB_OVar(X1),X2) = c_Lambda_OdB_OVar(X1)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_550]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5998,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | c_Lambda_Oliftn(X2,c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5997]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_544,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,X2)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.46 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4237_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5985,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,X2)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.46 | ~ class_Orderings_Opreorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_544]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5986,plain,
% 8.47/9.46 ( ~ class_Orderings_Opreorder(X0)
% 8.47/9.46 | c_lessequals(X1,X2,X0)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5985]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_541,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,X2)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.46 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4238_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5979,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,X2)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.46 | ~ class_Orderings_Oorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_541]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5980,plain,
% 8.47/9.46 ( ~ class_Orderings_Oorder(X0)
% 8.47/9.46 | c_lessequals(X1,X2,X0)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5979]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_537,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4240_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5971,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_537]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5972,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 8.47/9.46 | X0 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5971]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_535,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4241_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5967,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_535]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5968,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 8.47/9.46 | X1 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5967]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_533,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4242_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5963,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_533]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5964,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5963]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_531,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4243_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5959,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_531]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5960,plain,
% 8.47/9.46 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5959]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_527,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4245_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5951,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_527]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5952,plain,
% 8.47/9.46 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5951]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_525,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4246_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5947,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_525]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_523,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4251_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5943,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_523]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5944,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5943]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_521,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4252_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5939,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_521]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_519,plain,
% 8.47/9.46 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4253_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5935,plain,
% 8.47/9.46 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_519]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_515,plain,
% 8.47/9.46 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4258_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5927,plain,
% 8.47/9.46 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_515]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_511,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 8.47/9.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4260_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5919,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 8.47/9.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_511]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5920,plain,
% 8.47/9.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5919]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_509,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4261_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5915,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat)
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_509]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_500,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4264_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5897,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_500]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5898,plain,
% 8.47/9.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | X0 = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5897]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_498,plain,
% 8.47/9.46 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4265_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5893,plain,
% 8.47/9.46 ( c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_498]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5894,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | c_Divides_Odiv__class_Odiv(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5893]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_496,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4266_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5889,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | ~ c_lessequals(X0,X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_496]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5890,plain,
% 8.47/9.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5889]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_492,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4268_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5881,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_492]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_489,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4269_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5875,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_489]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5876,plain,
% 8.47/9.46 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.46 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5875]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_486,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4270_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5869,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_486]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5870,plain,
% 8.47/9.46 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.46 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5869]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_483,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4271_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5863,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_483]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5864,plain,
% 8.47/9.46 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.46 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5863]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_480,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4272_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5857,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_480]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5858,plain,
% 8.47/9.46 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.46 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5857]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_477,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4273_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5851,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_477]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5852,plain,
% 8.47/9.46 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 8.47/9.46 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5851]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_475,plain,
% 8.47/9.46 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 8.47/9.46 | ~ c_InductTermi_OIT(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4274_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5847,plain,
% 8.47/9.46 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 8.47/9.46 | ~ c_InductTermi_OIT(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_475]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_448,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | X1 = X2
% 8.47/9.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4282_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5793,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | X1 = X2
% 8.47/9.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_448]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5794,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 8.47/9.46 | X2 = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5793]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_445,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.46 | X0 = X1
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4282_3) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5787,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.46 | X0 = X1
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_445]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5788,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 8.47/9.46 | X1 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5787]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_439,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4284_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5775,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_439]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5776,plain,
% 8.47/9.46 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 8.47/9.46 | X0 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5775]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_437,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4285_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5771,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_437]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5772,plain,
% 8.47/9.46 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 8.47/9.46 | X1 = X3 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5771]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_434,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,X2)
% 8.47/9.46 | c_lessequals(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4287_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5765,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,X2)
% 8.47/9.46 | c_lessequals(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_434]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5766,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_lessequals(X1,X2,X0)
% 8.47/9.46 | c_lessequals(X2,X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5765]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_425,plain,
% 8.47/9.46 ( c_lessequals(X0,X0,X1)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4290_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5747,plain,
% 8.47/9.46 ( c_lessequals(X0,X0,X1)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_425]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5748,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_lessequals(X1,X1,X0)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5747]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_422,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,X2)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4291_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5741,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,X2)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_422]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5742,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_lessequals(X1,X2,X0)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5741]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_420,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4292_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5737,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_420]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5738,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5737]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_418,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = c_Orderings_Oord__class_Omin(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4293_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5733,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = c_Orderings_Oord__class_Omin(X1,X0,X2)
% 8.47/9.46 | ~ class_Orderings_Olinorder(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_418]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5734,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5733]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_414,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 8.47/9.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4295_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5725,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 8.47/9.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_414]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5726,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5725]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_412,plain,
% 8.47/9.46 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4297_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5721,plain,
% 8.47/9.46 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 8.47/9.46 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_412]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5722,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 8.47/9.46 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5721]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_410,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4298_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5717,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_410]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5718,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5717]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_406,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4300_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5709,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_406]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5710,plain,
% 8.47/9.46 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5709]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_402,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 8.47/9.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4304_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5701,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 8.47/9.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_402]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5702,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5701]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_400,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4305_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5697,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_400]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5698,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5697]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_398,plain,
% 8.47/9.46 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4306_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5693,plain,
% 8.47/9.46 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_398]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5694,plain,
% 8.47/9.46 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5693]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_397,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4308_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5691,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_397]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_394,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4308_3) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5685,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_394]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5686,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5685]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_389,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4310_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5675,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_389]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_386,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4310_3) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5669,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_386]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5670,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5669]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_381,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | X1 = X0
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4312_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5659,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | X1 = X0
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_381]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5660,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 8.47/9.46 | X1 = X0 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5659]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_376,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 8.47/9.46 | ~ class_Int_Onumber__ring(X2)
% 8.47/9.46 | ~ class_Ring__and__Field_Oidom(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4313_3) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5649,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 8.47/9.46 | ~ class_Int_Onumber__ring(X2)
% 8.47/9.46 | ~ class_Ring__and__Field_Oidom(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_376]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5650,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Oidom(X0)
% 8.47/9.46 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X1 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5649]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_374,plain,
% 8.47/9.46 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4314_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5645,plain,
% 8.47/9.46 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_374]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5646,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 8.47/9.46 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5645]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_372,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4315_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5641,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_372]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5642,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5641]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_370,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4316_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5637,plain,
% 8.47/9.46 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_370]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_367,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4318_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5631,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_367]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5632,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 8.47/9.46 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5631]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_363,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 8.47/9.46 | ~ class_Int_Onumber__ring(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Oidom(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4319_3) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5623,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 8.47/9.46 | ~ class_Int_Onumber__ring(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Oidom(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_363]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5624,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Oidom(X0)
% 8.47/9.46 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 8.47/9.46 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5623]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_361,plain,
% 8.47/9.46 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4320_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5619,plain,
% 8.47/9.46 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_361]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5620,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5619]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_359,plain,
% 8.47/9.46 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4321_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5615,plain,
% 8.47/9.46 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_359]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5616,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5615]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_356,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 8.47/9.46 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4322_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5609,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 8.47/9.46 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_356]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5610,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X1 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5609]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_353,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 8.47/9.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4323_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5603,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 8.47/9.46 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_353]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5604,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X1 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5603]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_350,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4324_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5597,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_350]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5598,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5597]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_346,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4326_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5589,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_346]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_344,plain,
% 8.47/9.46 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4326_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5585,plain,
% 8.47/9.46 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_344]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5586,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5585]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_342,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,X1))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0))) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4327_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5581,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,X1))
% 8.47/9.46 | ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0))) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_342]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5582,plain,
% 8.47/9.46 ( ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0)))
% 8.47/9.46 | hBOOL(hAPP(X0,X1)) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5581]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_327,plain,
% 8.47/9.46 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4331_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5551,plain,
% 8.47/9.46 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_327]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5552,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5551]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_324,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4332_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5545,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_324]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5546,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5545]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_322,plain,
% 8.47/9.46 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 8.47/9.46 | ~ c_InductTermi_OIT(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4333_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5541,plain,
% 8.47/9.46 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 8.47/9.46 | ~ c_InductTermi_OIT(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_322]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_321,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4334_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5539,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_321]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_319,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4334_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5535,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_319]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5536,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5535]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_315,plain,
% 8.47/9.46 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4336_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5527,plain,
% 8.47/9.46 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_315]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5528,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 8.47/9.46 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5527]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_313,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4339_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5523,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_313]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5524,plain,
% 8.47/9.46 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5523]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_311,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4340_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5519,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_311]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5520,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5519]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_309,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4341_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5515,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_309]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5516,plain,
% 8.47/9.46 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5515]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_307,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4342_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5511,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_307]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5512,plain,
% 8.47/9.46 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5511]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_303,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4345_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5503,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_303]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_301,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4345_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5499,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_301]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5500,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5499]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_298,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,X1))
% 8.47/9.46 | hBOOL(hAPP(X0,X2))
% 8.47/9.46 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X3) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4346_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5493,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,X1))
% 8.47/9.46 | hBOOL(hAPP(X0,X2))
% 8.47/9.46 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X1,X3) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_298]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_295,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,X1))
% 8.47/9.46 | hBOOL(hAPP(X0,X2))
% 8.47/9.46 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X3,X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4347_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5487,plain,
% 8.47/9.46 ( hBOOL(hAPP(X0,X1))
% 8.47/9.46 | hBOOL(hAPP(X0,X2))
% 8.47/9.46 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != c_Type_Otype_OFun(X3,X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_295]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_293,plain,
% 8.47/9.46 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 8.47/9.46 | ~ c_Lambda_Obeta(X0,X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4348_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5483,plain,
% 8.47/9.46 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 8.47/9.46 | ~ c_Lambda_Obeta(X0,X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_293]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_291,plain,
% 8.47/9.46 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4351_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5479,plain,
% 8.47/9.46 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_291]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5480,plain,
% 8.47/9.46 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5479]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_288,plain,
% 8.47/9.46 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | ~ class_Power_Opower(X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4353_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5473,plain,
% 8.47/9.46 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | ~ class_Power_Opower(X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_288]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5474,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 8.47/9.46 | ~ class_Power_Opower(X0)
% 8.47/9.46 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5473]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_284,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Power_Opower(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4357_3) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5465,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Power_Opower(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_284]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5466,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 8.47/9.46 | ~ class_Power_Opower(X0)
% 8.47/9.46 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5465]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_282,plain,
% 8.47/9.46 ( 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)
% 8.47/9.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4358_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5461,plain,
% 8.47/9.46 ( 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)
% 8.47/9.46 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_282]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5462,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 8.47/9.46 | 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) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5461]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_280,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4364_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5457,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_280]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5458,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5457]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_278,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4365_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5453,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_278]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5454,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5453]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_274,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4367_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5445,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 8.47/9.46 inference(copy,[status(esa)],[c_274]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5446,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 8.47/9.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5445]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_271,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 8.47/9.46 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Oidom(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4368_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5439,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 8.47/9.46 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Oidom(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_271]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5440,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Oidom(X0)
% 8.47/9.46 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5439]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_268,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Int_Onumber__ring(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Oidom(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4369_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5433,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Int_Onumber__ring(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Oidom(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_268]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5434,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Oidom(X0)
% 8.47/9.46 | ~ class_Int_Onumber__ring(X0)
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5433]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_264,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 8.47/9.46 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4371_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5425,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 8.47/9.46 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_264]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5426,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5425]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_262,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 8.47/9.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4372_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5421,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 8.47/9.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_262]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5422,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5421]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_260,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 8.47/9.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4373_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5417,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 8.47/9.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_260]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5418,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5417]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_258,plain,
% 8.47/9.46 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | ~ class_Divides_Osemiring__div(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4374_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5413,plain,
% 8.47/9.46 ( c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | ~ class_Divides_Osemiring__div(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_258]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5414,plain,
% 8.47/9.46 ( ~ class_Divides_Osemiring__div(X0)
% 8.47/9.46 | c_Divides_Odiv__class_Odiv(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5413]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_256,plain,
% 8.47/9.46 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4375_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5409,plain,
% 8.47/9.46 ( c_Divides_Odiv__class_Odiv(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Divides_Osemiring__div(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_256]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5410,plain,
% 8.47/9.46 ( ~ class_Divides_Osemiring__div(X0)
% 8.47/9.46 | c_Divides_Odiv__class_Odiv(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5409]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_252,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4377_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5401,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_252]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5402,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5401]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_250,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4378_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5397,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_250]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5398,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5397]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_248,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4379_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5393,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_248]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5394,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5393]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_246,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4380_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5389,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_246]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5390,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5389]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_244,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4381_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5385,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_244]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5386,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5385]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_242,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4382_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5381,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_242]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5382,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5381]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_240,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 8.47/9.46 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4386_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5377,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 8.47/9.46 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_240]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5378,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5377]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_238,plain,
% 8.47/9.46 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 8.47/9.46 | ~ class_Orderings_Obot(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4388_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5373,plain,
% 8.47/9.46 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 8.47/9.46 | ~ class_Orderings_Obot(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_238]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5374,plain,
% 8.47/9.46 ( ~ class_Orderings_Obot(X0)
% 8.47/9.46 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5373]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_236,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 8.47/9.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4389_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5369,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 8.47/9.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_236]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5370,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5369]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_234,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 8.47/9.46 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4390_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5365,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 8.47/9.46 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_234]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5366,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5365]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_232,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 8.47/9.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4391_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5361,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 8.47/9.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_232]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5362,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 8.47/9.46 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5361]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_230,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4393_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5357,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_230]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5358,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5357]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_226,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4395_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5349,plain,
% 8.47/9.46 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 8.47/9.46 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_226]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5350,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 8.47/9.46 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5349]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_224,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 8.47/9.46 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4401_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5345,plain,
% 8.47/9.46 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 8.47/9.46 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_224]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5346,plain,
% 8.47/9.46 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 8.47/9.46 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5345]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_222,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 8.47/9.46 | ~ class_Orderings_Olinorder(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4402_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5341,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 8.47/9.46 | ~ class_Orderings_Olinorder(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_222]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5342,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5341]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_220,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omin(X0,X0,X1) = X0
% 8.47/9.46 | ~ class_Orderings_Olinorder(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4403_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5337,plain,
% 8.47/9.46 ( c_Orderings_Oord__class_Omin(X0,X0,X1) = X0
% 8.47/9.46 | ~ class_Orderings_Olinorder(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_220]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5338,plain,
% 8.47/9.46 ( ~ class_Orderings_Olinorder(X0)
% 8.47/9.46 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5337]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_218,plain,
% 8.47/9.46 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4406_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5333,plain,
% 8.47/9.46 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_218]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5334,plain,
% 8.47/9.46 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5333]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_216,plain,
% 8.47/9.46 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4407_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5329,plain,
% 8.47/9.46 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_216]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5330,plain,
% 8.47/9.46 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5329]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_214,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4409_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5325,plain,
% 8.47/9.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 8.47/9.46 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_214]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5326,plain,
% 8.47/9.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 8.47/9.46 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5325]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_211,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 8.47/9.46 | ~ class_Nat_Osemiring__char__0(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4427_2) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5319,plain,
% 8.47/9.46 ( X0 = X1
% 8.47/9.46 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 8.47/9.46 | ~ class_Nat_Osemiring__char__0(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_211]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5320,plain,
% 8.47/9.46 ( ~ class_Nat_Osemiring__char__0(X0)
% 8.47/9.46 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 8.47/9.46 | X1 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5319]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_209,plain,
% 8.47/9.46 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 8.47/9.46 | ~ c_Lambda_Obeta(X0,X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4434_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5315,plain,
% 8.47/9.46 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 8.47/9.46 | ~ c_Lambda_Obeta(X0,X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_209]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_207,plain,
% 8.47/9.46 ( X0 = X1 | c_Type_Otype_OFun(X2,X0) != c_Type_Otype_OFun(X3,X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4435_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5311,plain,
% 8.47/9.46 ( X0 = X1 | c_Type_Otype_OFun(X2,X0) != c_Type_Otype_OFun(X3,X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_207]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5312,plain,
% 8.47/9.46 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X1 = X3 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5311]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_205,plain,
% 8.47/9.46 ( X0 = X1 | c_Type_Otype_OFun(X0,X2) != c_Type_Otype_OFun(X1,X3) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4436_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5307,plain,
% 8.47/9.46 ( X0 = X1 | c_Type_Otype_OFun(X0,X2) != c_Type_Otype_OFun(X1,X3) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_205]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5308,plain,
% 8.47/9.46 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OFun(X2,X3) | X0 = X2 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5307]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_203,plain,
% 8.47/9.46 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4437_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5303,plain,
% 8.47/9.46 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_203]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_201,plain,
% 8.47/9.46 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4438_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5299,plain,
% 8.47/9.46 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_201]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_199,plain,
% 8.47/9.46 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 8.47/9.46 | ~ class_Orderings_Opreorder(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4439_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5295,plain,
% 8.47/9.46 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 8.47/9.46 | ~ class_Orderings_Opreorder(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_199]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_197,plain,
% 8.47/9.46 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4440_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5291,plain,
% 8.47/9.46 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_197]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_195,plain,
% 8.47/9.46 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4444_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5287,plain,
% 8.47/9.46 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 8.47/9.46 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_195]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5288,plain,
% 8.47/9.46 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 8.47/9.46 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5287]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_193,plain,
% 8.47/9.46 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4447_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5283,plain,
% 8.47/9.46 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_193]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_191,plain,
% 8.47/9.46 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4448_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5279,plain,
% 8.47/9.46 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_191]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5280,plain,
% 8.47/9.46 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5279]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_189,plain,
% 8.47/9.46 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4449_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5275,plain,
% 8.47/9.46 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_189]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5276,plain,
% 8.47/9.46 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5275]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_185,plain,
% 8.47/9.46 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4451_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5267,plain,
% 8.47/9.46 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_185]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5268,plain,
% 8.47/9.46 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5267]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_183,plain,
% 8.47/9.46 ( X0 = X1 | c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4452_1) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5263,plain,
% 8.47/9.46 ( X0 = X1 | c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_183]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5264,plain,
% 8.47/9.46 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) | X0 = X1 ),
% 8.47/9.46 inference(rewriting,[status(thm)],[c_5263]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_182,plain,
% 8.47/9.46 ( 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) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3660_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5261,plain,
% 8.47/9.46 ( 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) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_182]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_181,plain,
% 8.47/9.46 ( 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) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3683_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5259,plain,
% 8.47/9.46 ( 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) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_181]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_180,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4133_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5257,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_180]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_179,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4134_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5255,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_179]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_178,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4337_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5253,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_178]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_177,plain,
% 8.47/9.46 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4338_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5251,plain,
% 8.47/9.46 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_177]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_175,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4350_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5247,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_175]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_173,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4356_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5243,plain,
% 8.47/9.46 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_173]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_172,plain,
% 8.47/9.46 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4397_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5241,plain,
% 8.47/9.46 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_172]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_171,plain,
% 8.47/9.46 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4398_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5239,plain,
% 8.47/9.46 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_171]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_170,plain,
% 8.47/9.46 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4399_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5237,plain,
% 8.47/9.46 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_170]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_169,plain,
% 8.47/9.46 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4400_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5235,plain,
% 8.47/9.46 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_169]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_168,plain,
% 8.47/9.46 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4441_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5233,plain,
% 8.47/9.46 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_168]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_167,plain,
% 8.47/9.46 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OFun(X1,X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4442_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5231,plain,
% 8.47/9.46 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OFun(X1,X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_167]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_166,plain,
% 8.47/9.46 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OAtom(X2) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4443_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5229,plain,
% 8.47/9.46 ( c_Type_Otype_OFun(X0,X1) != c_Type_Otype_OAtom(X2) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_166]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_165,plain,
% 8.47/9.46 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4454_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5227,plain,
% 8.47/9.46 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_165]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_164,plain,
% 8.47/9.46 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4455_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5225,plain,
% 8.47/9.46 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_164]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_160,plain,
% 8.47/9.46 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4460_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5217,plain,
% 8.47/9.46 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_160]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_158,plain,
% 8.47/9.46 ( c_Suc(X0) != X0 ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4464_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5213,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_158]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_146,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3739_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5199,plain,
% 8.47/9.46 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat)) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_146]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_135,plain,
% 8.47/9.46 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_3930_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5187,plain,
% 8.47/9.46 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_135]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_128,plain,
% 8.47/9.46 ( 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) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4035_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5179,plain,
% 8.47/9.46 ( 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) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_128]) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_121,plain,
% 8.47/9.46 ( 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)) ),
% 8.47/9.46 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4056_0) ).
% 8.47/9.46
% 8.47/9.46 cnf(c_5171,plain,
% 8.47/9.46 ( 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)) ),
% 8.47/9.46 inference(copy,[status(esa)],[c_121]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_113,plain,
% 8.47/9.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4101_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5161,plain,
% 8.47/9.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_113]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_112,plain,
% 8.47/9.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4102_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5159,plain,
% 8.47/9.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_112]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_111,plain,
% 8.47/9.47 ( 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))) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4135_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5157,plain,
% 8.47/9.47 ( 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))) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_111]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_104,plain,
% 8.47/9.47 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4204_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5149,plain,
% 8.47/9.47 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_104]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_103,plain,
% 8.47/9.47 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4205_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5147,plain,
% 8.47/9.47 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_103]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_102,plain,
% 8.47/9.47 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4206_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5145,plain,
% 8.47/9.47 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_102]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_101,plain,
% 8.47/9.47 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4207_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5143,plain,
% 8.47/9.47 ( c_lessequals(c_Divides_Odiv__class_Odiv(X0,X1,tc_nat),X0,tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_101]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_94,plain,
% 8.47/9.47 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4255_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5134,plain,
% 8.47/9.47 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_94]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_93,plain,
% 8.47/9.47 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4256_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5132,plain,
% 8.47/9.47 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_93]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_90,plain,
% 8.47/9.47 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4296_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5128,plain,
% 8.47/9.47 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_90]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_89,plain,
% 8.47/9.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4301_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5126,plain,
% 8.47/9.47 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) = c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_89]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_88,plain,
% 8.47/9.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4302_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5124,plain,
% 8.47/9.47 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) = c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_88]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_86,plain,
% 8.47/9.47 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4317_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5121,plain,
% 8.47/9.47 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_86]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_85,plain,
% 8.47/9.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4343_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5119,plain,
% 8.47/9.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_85]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_84,plain,
% 8.47/9.47 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4352_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5117,plain,
% 8.47/9.47 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_84]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_77,plain,
% 8.47/9.47 ( c_Type_Otyping(v_ea____,v_s____,c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4383_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5109,plain,
% 8.47/9.47 ( c_Type_Otyping(v_ea____,v_s____,c_Type_Otype_OFun(v_Ta____,v_U____)) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_77]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_74,plain,
% 8.47/9.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4387_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5105,plain,
% 8.47/9.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_74]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_72,plain,
% 8.47/9.47 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4396_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5102,plain,
% 8.47/9.47 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_72]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_70,plain,
% 8.47/9.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4405_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5098,plain,
% 8.47/9.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_70]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_68,plain,
% 8.47/9.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4410_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5095,plain,
% 8.47/9.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_68]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_66,plain,
% 8.47/9.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4412_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5091,plain,
% 8.47/9.47 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_66]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_54,plain,
% 8.47/9.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4424_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5078,plain,
% 8.47/9.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_54]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_52,plain,
% 8.47/9.47 ( c_fequal(X0,X0,X1) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4426_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5075,plain,
% 8.47/9.47 ( c_fequal(X0,X0,X1) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_52]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_49,plain,
% 8.47/9.47 ( c_lessequals(X0,X0,tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4430_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5070,plain,
% 8.47/9.47 ( c_lessequals(X0,X0,tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_49]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_48,plain,
% 8.47/9.47 ( c_Type_Otyping(v_ea____,v_ta____,v_Ta____) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4431_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5068,plain,
% 8.47/9.47 ( c_Type_Otyping(v_ea____,v_ta____,v_Ta____) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_48]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_41,plain,
% 8.47/9.47 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4461_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5060,plain,
% 8.47/9.47 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_41]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_37,plain,
% 8.47/9.47 ( class_Power_Opower(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4467_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5055,plain,
% 8.47/9.47 ( class_Power_Opower(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_37]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_36,plain,
% 8.47/9.47 ( class_Orderings_Obot(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4468_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5053,plain,
% 8.47/9.47 ( class_Orderings_Obot(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_36]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_35,plain,
% 8.47/9.47 ( class_Orderings_Oorder(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4469_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5051,plain,
% 8.47/9.47 ( class_Orderings_Oorder(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_35]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_34,plain,
% 8.47/9.47 ( class_Orderings_Olinorder(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4470_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5049,plain,
% 8.47/9.47 ( class_Orderings_Olinorder(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_34]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_33,plain,
% 8.47/9.47 ( class_Orderings_Opreorder(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4471_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5047,plain,
% 8.47/9.47 ( class_Orderings_Opreorder(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_33]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_32,plain,
% 8.47/9.47 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4472_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5045,plain,
% 8.47/9.47 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_32]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_31,plain,
% 8.47/9.47 ( class_Divides_Osemiring__div(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4473_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5043,plain,
% 8.47/9.47 ( class_Divides_Osemiring__div(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_31]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_30,plain,
% 8.47/9.47 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4474_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5041,plain,
% 8.47/9.47 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_30]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_29,plain,
% 8.47/9.47 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4475_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5039,plain,
% 8.47/9.47 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_29]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_28,plain,
% 8.47/9.47 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4476_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5037,plain,
% 8.47/9.47 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_28]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_27,plain,
% 8.47/9.47 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4477_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5035,plain,
% 8.47/9.47 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_27]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_26,plain,
% 8.47/9.47 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4478_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5033,plain,
% 8.47/9.47 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_26]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_25,plain,
% 8.47/9.47 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4479_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5031,plain,
% 8.47/9.47 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_25]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_24,plain,
% 8.47/9.47 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4480_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5029,plain,
% 8.47/9.47 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_24]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_23,plain,
% 8.47/9.47 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4481_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5027,plain,
% 8.47/9.47 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_23]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_22,plain,
% 8.47/9.47 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4482_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5025,plain,
% 8.47/9.47 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_22]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_21,plain,
% 8.47/9.47 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4483_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5023,plain,
% 8.47/9.47 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_21]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_20,plain,
% 8.47/9.47 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4484_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5021,plain,
% 8.47/9.47 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_20]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_19,plain,
% 8.47/9.47 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4485_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5019,plain,
% 8.47/9.47 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_19]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_18,plain,
% 8.47/9.47 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4486_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5017,plain,
% 8.47/9.47 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_18]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_17,plain,
% 8.47/9.47 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4487_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5015,plain,
% 8.47/9.47 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_17]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_16,plain,
% 8.47/9.47 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4488_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5013,plain,
% 8.47/9.47 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_16]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_15,plain,
% 8.47/9.47 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4489_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5011,plain,
% 8.47/9.47 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_15]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_14,plain,
% 8.47/9.47 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4490_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5009,plain,
% 8.47/9.47 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_14]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_13,plain,
% 8.47/9.47 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4491_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5007,plain,
% 8.47/9.47 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_13]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_12,plain,
% 8.47/9.47 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4492_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5005,plain,
% 8.47/9.47 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_12]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_11,plain,
% 8.47/9.47 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4493_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5003,plain,
% 8.47/9.47 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_11]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_10,plain,
% 8.47/9.47 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4494_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5001,plain,
% 8.47/9.47 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_10]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_9,plain,
% 8.47/9.47 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4495_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_4999,plain,
% 8.47/9.47 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_9]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_8,plain,
% 8.47/9.47 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4496_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_4997,plain,
% 8.47/9.47 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_8]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_7,plain,
% 8.47/9.47 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4497_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_4995,plain,
% 8.47/9.47 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_7]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_6,plain,
% 8.47/9.47 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4498_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_4993,plain,
% 8.47/9.47 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_6]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_5,plain,
% 8.47/9.47 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4499_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_4991,plain,
% 8.47/9.47 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_5]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_4,plain,
% 8.47/9.47 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4500_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_4989,plain,
% 8.47/9.47 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_4]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_3,plain,
% 8.47/9.47 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4501_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_4987,plain,
% 8.47/9.47 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_3]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_2,plain,
% 8.47/9.47 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4502_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_4985,plain,
% 8.47/9.47 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_2]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_1,plain,
% 8.47/9.47 ( c_InductTermi_OIT(v_s____) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4503_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_4983,plain,
% 8.47/9.47 ( c_InductTermi_OIT(v_s____) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_1]) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_0,plain,
% 8.47/9.47 ( c_InductTermi_OIT(v_ta____) ),
% 8.47/9.47 file('/export/starexec/sandbox2/tmp/iprover_modulo_ac503c.p', c_0_4504_0) ).
% 8.47/9.47
% 8.47/9.47 cnf(c_4981,plain,
% 8.47/9.47 ( c_InductTermi_OIT(v_ta____) ),
% 8.47/9.47 inference(copy,[status(esa)],[c_0]) ).
% 8.47/9.47
% 8.47/9.47
% 8.47/9.47
% 8.47/9.47 % ------ Statistics
% 8.47/9.47
% 8.47/9.47 % ------ General
% 8.47/9.47
% 8.47/9.47 % num_of_input_clauses: 2195
% 8.47/9.47 % num_of_input_neg_conjectures: 1
% 8.47/9.47 % num_of_splits: 0
% 8.47/9.47 % num_of_split_atoms: 0
% 8.47/9.47 % num_of_sem_filtered_clauses: 0
% 8.47/9.47 % num_of_subtypes: 0
% 8.47/9.47 % monotx_restored_types: 0
% 8.47/9.47 % sat_num_of_epr_types: 0
% 8.47/9.47 % sat_num_of_non_cyclic_types: 0
% 8.47/9.47 % sat_guarded_non_collapsed_types: 0
% 8.47/9.47 % is_epr: 0
% 8.47/9.47 % is_horn: 0
% 8.47/9.47 % has_eq: 1
% 8.47/9.47 % num_pure_diseq_elim: 0
% 8.47/9.47 % simp_replaced_by: 0
% 8.47/9.47 % res_preprocessed: 2
% 8.47/9.47 % prep_upred: 0
% 8.47/9.47 % prep_unflattend: 0
% 8.47/9.47 % pred_elim_cands: 0
% 8.47/9.47 % pred_elim: 0
% 8.47/9.47 % pred_elim_cl: 0
% 8.47/9.47 % pred_elim_cycles: 0
% 8.47/9.47 % forced_gc_time: 0
% 8.47/9.47 % gc_basic_clause_elim: 0
% 8.47/9.47 % parsing_time: 0.109
% 8.47/9.47 % sem_filter_time: 0.
% 8.47/9.47 % pred_elim_time: 0.
% 8.47/9.47 % out_proof_time: 0.
% 8.47/9.47 % monotx_time: 0.
% 8.47/9.47 % subtype_inf_time: 0.
% 8.47/9.47 % unif_index_cands_time: 0.
% 8.47/9.47 % unif_index_add_time: 0.001
% 8.47/9.47 % total_time: 3.416
% 8.47/9.47 % num_of_symbols: 142
% 8.47/9.47 % num_of_terms: 4191
% 8.47/9.47
% 8.47/9.47 % ------ Propositional Solver
% 8.47/9.47
% 8.47/9.47 % prop_solver_calls: 1
% 8.47/9.47 % prop_fast_solver_calls: 3
% 8.47/9.47 % prop_num_of_clauses: 1958
% 8.47/9.47 % prop_preprocess_simplified: 6726
% 8.47/9.47 % prop_fo_subsumed: 0
% 8.47/9.47 % prop_solver_time: 0.
% 8.47/9.47 % prop_fast_solver_time: 0.
% 8.47/9.47 % prop_unsat_core_time: 0.
% 8.47/9.47
% 8.47/9.47 % ------ QBF
% 8.47/9.47
% 8.47/9.47 % qbf_q_res: 0
% 8.47/9.47 % qbf_num_tautologies: 0
% 8.47/9.47 % qbf_prep_cycles: 0
% 8.47/9.47
% 8.47/9.47 % ------ BMC1
% 8.47/9.47
% 8.47/9.47 % bmc1_current_bound: -1
% 8.47/9.47 % bmc1_last_solved_bound: -1
% 8.47/9.47 % bmc1_unsat_core_size: -1
% 8.47/9.47 % bmc1_unsat_core_parents_size: -1
% 8.47/9.47 % bmc1_merge_next_fun: 0
% 8.47/9.47 % bmc1_unsat_core_clauses_time: 0.
% 8.47/9.47
% 8.47/9.47 % ------ Instantiation
% 8.47/9.47
% 8.47/9.47 % inst_num_of_clauses: 1920
% 8.47/9.47 % inst_num_in_passive: 0
% 8.47/9.47 % inst_num_in_active: 0
% 8.47/9.47 % inst_num_in_unprocessed: 2195
% 8.47/9.47 % inst_num_of_loops: 0
% 8.47/9.47 % inst_num_of_learning_restarts: 0
% 8.47/9.47 % inst_num_moves_active_passive: 0
% 8.47/9.47 % inst_lit_activity: 0
% 8.47/9.47 % inst_lit_activity_moves: 0
% 8.47/9.47 % inst_num_tautologies: 0
% 8.47/9.47 % inst_num_prop_implied: 0
% 8.47/9.47 % inst_num_existing_simplified: 0
% 8.47/9.47 % inst_num_eq_res_simplified: 0
% 8.47/9.47 % inst_num_child_elim: 0
% 8.47/9.47 % inst_num_of_dismatching_blockings: 0
% 8.47/9.47 % inst_num_of_non_proper_insts: 0
% 8.47/9.47 % inst_num_of_duplicates: 0
% 8.47/9.47 % inst_inst_num_from_inst_to_res: 0
% 8.47/9.47 % inst_dismatching_checking_time: 0.
% 8.47/9.47
% 8.47/9.47 % ------ Resolution
% 8.47/9.47
% 8.47/9.47 % res_num_of_clauses: 2095
% 8.47/9.47 % res_num_in_passive: 0
% 8.47/9.47 % res_num_in_active: 793
% 8.47/9.47 % res_num_of_loops: 3
% 8.47/9.47 % res_forward_subset_subsumed: 1318
% 8.47/9.47 % res_backward_subset_subsumed: 0
% 8.47/9.47 % res_forward_subsumed: 1
% 8.47/9.47 % res_backward_subsumed: 0
% 8.47/9.47 % res_forward_subsumption_resolution: 0
% 8.47/9.47 % res_backward_subsumption_resolution: 0
% 8.47/9.47 % res_clause_to_clause_subsumption: 1
% 8.47/9.47 % res_orphan_elimination: 0
% 8.47/9.47 % res_tautology_del: 0
% 8.47/9.47 % res_num_eq_res_simplified: 0
% 8.47/9.47 % res_num_sel_changes: 0
% 8.47/9.47 % res_moves_from_active_to_pass: 0
% 8.47/9.47
% 8.47/9.47 % Status Unknown
% 8.47/9.47 % Last status :
% 8.47/9.47 % SZS status Unknown
%------------------------------------------------------------------------------