TSTP Solution File: LCL795-1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : LCL795-1 : 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 11:39:50 EDT 2022
% Result : Unknown 10.32s 10.50s
% Output : None
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----No solution output by system
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : LCL795-1 : TPTP v8.1.0. Released v4.1.0.
% 0.13/0.15 % Command : iprover_modulo %s %d
% 0.16/0.36 % Computer : n029.cluster.edu
% 0.16/0.36 % Model : x86_64 x86_64
% 0.16/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.36 % Memory : 8042.1875MB
% 0.16/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.36 % CPULimit : 300
% 0.16/0.36 % WCLimit : 600
% 0.16/0.36 % DateTime : Mon Jul 4 16:49:27 EDT 2022
% 0.16/0.36 % CPUTime :
% 0.16/0.37 % Running in mono-core mode
% 0.42/0.60 % Orienting using strategy Equiv(ClausalAll)
% 0.42/0.60 % Orientation found
% 0.42/0.60 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f7ec06.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_8467a1.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_28a216 | grep -v "SZS"
% 0.42/0.63
% 0.42/0.63 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.42/0.63
% 0.42/0.63 %
% 0.42/0.63 % ------ iProver source info
% 0.42/0.63
% 0.42/0.63 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.42/0.63 % git: non_committed_changes: true
% 0.42/0.63 % git: last_make_outside_of_git: true
% 0.42/0.63
% 0.42/0.63 %
% 0.42/0.63 % ------ Input Options
% 0.42/0.63
% 0.42/0.63 % --out_options all
% 0.42/0.63 % --tptp_safe_out true
% 0.42/0.63 % --problem_path ""
% 0.42/0.63 % --include_path ""
% 0.42/0.63 % --clausifier .//eprover
% 0.42/0.63 % --clausifier_options --tstp-format
% 0.42/0.63 % --stdin false
% 0.42/0.63 % --dbg_backtrace false
% 0.42/0.63 % --dbg_dump_prop_clauses false
% 0.42/0.63 % --dbg_dump_prop_clauses_file -
% 0.42/0.63 % --dbg_out_stat false
% 0.42/0.63
% 0.42/0.63 % ------ General Options
% 0.42/0.63
% 0.42/0.63 % --fof false
% 0.42/0.63 % --time_out_real 150.
% 0.42/0.63 % --time_out_prep_mult 0.2
% 0.42/0.63 % --time_out_virtual -1.
% 0.42/0.63 % --schedule none
% 0.42/0.63 % --ground_splitting input
% 0.42/0.63 % --splitting_nvd 16
% 0.42/0.63 % --non_eq_to_eq false
% 0.42/0.63 % --prep_gs_sim true
% 0.42/0.63 % --prep_unflatten false
% 0.42/0.63 % --prep_res_sim true
% 0.42/0.63 % --prep_upred true
% 0.42/0.63 % --res_sim_input true
% 0.42/0.63 % --clause_weak_htbl true
% 0.42/0.63 % --gc_record_bc_elim false
% 0.42/0.63 % --symbol_type_check false
% 0.42/0.63 % --clausify_out false
% 0.42/0.63 % --large_theory_mode false
% 0.42/0.63 % --prep_sem_filter none
% 0.42/0.63 % --prep_sem_filter_out false
% 0.42/0.63 % --preprocessed_out false
% 0.42/0.63 % --sub_typing false
% 0.42/0.63 % --brand_transform false
% 0.42/0.63 % --pure_diseq_elim true
% 0.42/0.63 % --min_unsat_core false
% 0.42/0.63 % --pred_elim true
% 0.42/0.63 % --add_important_lit false
% 0.42/0.63 % --soft_assumptions false
% 0.42/0.63 % --reset_solvers false
% 0.42/0.63 % --bc_imp_inh []
% 0.42/0.63 % --conj_cone_tolerance 1.5
% 0.42/0.63 % --prolific_symb_bound 500
% 0.42/0.63 % --lt_threshold 2000
% 0.42/0.63
% 0.42/0.63 % ------ SAT Options
% 0.42/0.63
% 0.42/0.63 % --sat_mode false
% 0.42/0.63 % --sat_fm_restart_options ""
% 0.42/0.63 % --sat_gr_def false
% 0.42/0.63 % --sat_epr_types true
% 0.42/0.63 % --sat_non_cyclic_types false
% 0.42/0.63 % --sat_finite_models false
% 0.42/0.63 % --sat_fm_lemmas false
% 0.42/0.63 % --sat_fm_prep false
% 0.42/0.63 % --sat_fm_uc_incr true
% 0.42/0.63 % --sat_out_model small
% 0.42/0.63 % --sat_out_clauses false
% 0.42/0.63
% 0.42/0.63 % ------ QBF Options
% 0.42/0.63
% 0.42/0.63 % --qbf_mode false
% 0.42/0.63 % --qbf_elim_univ true
% 0.42/0.63 % --qbf_sk_in true
% 0.42/0.63 % --qbf_pred_elim true
% 0.42/0.63 % --qbf_split 32
% 0.42/0.63
% 0.42/0.63 % ------ BMC1 Options
% 0.42/0.63
% 0.42/0.63 % --bmc1_incremental false
% 0.42/0.63 % --bmc1_axioms reachable_all
% 0.42/0.63 % --bmc1_min_bound 0
% 0.42/0.63 % --bmc1_max_bound -1
% 0.42/0.63 % --bmc1_max_bound_default -1
% 0.42/0.63 % --bmc1_symbol_reachability true
% 0.42/0.63 % --bmc1_property_lemmas false
% 0.42/0.63 % --bmc1_k_induction false
% 0.42/0.63 % --bmc1_non_equiv_states false
% 0.42/0.63 % --bmc1_deadlock false
% 0.42/0.63 % --bmc1_ucm false
% 0.42/0.63 % --bmc1_add_unsat_core none
% 0.42/0.63 % --bmc1_unsat_core_children false
% 0.42/0.63 % --bmc1_unsat_core_extrapolate_axioms false
% 0.42/0.63 % --bmc1_out_stat full
% 0.42/0.63 % --bmc1_ground_init false
% 0.42/0.63 % --bmc1_pre_inst_next_state false
% 0.42/0.63 % --bmc1_pre_inst_state false
% 0.42/0.63 % --bmc1_pre_inst_reach_state false
% 0.42/0.63 % --bmc1_out_unsat_core false
% 0.42/0.63 % --bmc1_aig_witness_out false
% 0.42/0.63 % --bmc1_verbose false
% 0.42/0.63 % --bmc1_dump_clauses_tptp false
% 5.12/5.60 % --bmc1_dump_unsat_core_tptp false
% 5.12/5.60 % --bmc1_dump_file -
% 5.12/5.60 % --bmc1_ucm_expand_uc_limit 128
% 5.12/5.60 % --bmc1_ucm_n_expand_iterations 6
% 5.12/5.60 % --bmc1_ucm_extend_mode 1
% 5.12/5.60 % --bmc1_ucm_init_mode 2
% 5.12/5.60 % --bmc1_ucm_cone_mode none
% 5.12/5.60 % --bmc1_ucm_reduced_relation_type 0
% 5.12/5.60 % --bmc1_ucm_relax_model 4
% 5.12/5.60 % --bmc1_ucm_full_tr_after_sat true
% 5.12/5.60 % --bmc1_ucm_expand_neg_assumptions false
% 5.12/5.60 % --bmc1_ucm_layered_model none
% 5.12/5.60 % --bmc1_ucm_max_lemma_size 10
% 5.12/5.60
% 5.12/5.60 % ------ AIG Options
% 5.12/5.60
% 5.12/5.60 % --aig_mode false
% 5.12/5.60
% 5.12/5.60 % ------ Instantiation Options
% 5.12/5.60
% 5.12/5.60 % --instantiation_flag true
% 5.12/5.60 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.12/5.60 % --inst_solver_per_active 750
% 5.12/5.60 % --inst_solver_calls_frac 0.5
% 5.12/5.60 % --inst_passive_queue_type priority_queues
% 5.12/5.60 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.12/5.60 % --inst_passive_queues_freq [25;2]
% 5.12/5.60 % --inst_dismatching true
% 5.12/5.60 % --inst_eager_unprocessed_to_passive true
% 5.12/5.60 % --inst_prop_sim_given true
% 5.12/5.60 % --inst_prop_sim_new false
% 5.12/5.60 % --inst_orphan_elimination true
% 5.12/5.60 % --inst_learning_loop_flag true
% 5.12/5.60 % --inst_learning_start 3000
% 5.12/5.60 % --inst_learning_factor 2
% 5.12/5.60 % --inst_start_prop_sim_after_learn 3
% 5.12/5.60 % --inst_sel_renew solver
% 5.12/5.60 % --inst_lit_activity_flag true
% 5.12/5.60 % --inst_out_proof true
% 5.12/5.60
% 5.12/5.60 % ------ Resolution Options
% 5.12/5.60
% 5.12/5.60 % --resolution_flag true
% 5.12/5.60 % --res_lit_sel kbo_max
% 5.12/5.60 % --res_to_prop_solver none
% 5.12/5.60 % --res_prop_simpl_new false
% 5.12/5.60 % --res_prop_simpl_given false
% 5.12/5.60 % --res_passive_queue_type priority_queues
% 5.12/5.60 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.12/5.60 % --res_passive_queues_freq [15;5]
% 5.12/5.60 % --res_forward_subs full
% 5.12/5.60 % --res_backward_subs full
% 5.12/5.60 % --res_forward_subs_resolution true
% 5.12/5.60 % --res_backward_subs_resolution true
% 5.12/5.60 % --res_orphan_elimination false
% 5.12/5.60 % --res_time_limit 1000.
% 5.12/5.60 % --res_out_proof true
% 5.12/5.60 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f7ec06.s
% 5.12/5.60 % --modulo true
% 5.12/5.60
% 5.12/5.60 % ------ Combination Options
% 5.12/5.60
% 5.12/5.60 % --comb_res_mult 1000
% 5.12/5.60 % --comb_inst_mult 300
% 5.12/5.60 % ------
% 5.12/5.60
% 5.12/5.60 % ------ Parsing...% successful
% 5.12/5.60
% 5.12/5.60 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e pe_s pe_e snvd_s sp: 0 0s snvd_e %
% 5.12/5.60
% 5.12/5.60 % ------ Proving...
% 5.12/5.60 % ------ Problem Properties
% 5.12/5.60
% 5.12/5.60 %
% 5.12/5.60 % EPR false
% 5.12/5.60 % Horn false
% 5.12/5.60 % Has equality true
% 5.12/5.60
% 5.12/5.60 % % ------ Input Options Time Limit: Unbounded
% 5.12/5.60
% 5.12/5.60
% 5.12/5.60 Compiling...
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% 5.12/5.60 % % ------ Current options:
% 5.12/5.60
% 5.12/5.60 % ------ Input Options
% 5.12/5.60
% 5.12/5.60 % --out_options all
% 5.12/5.60 % --tptp_safe_out true
% 5.12/5.60 % --problem_path ""
% 5.12/5.60 % --include_path ""
% 5.12/5.60 % --clausifier .//eprover
% 5.12/5.60 % --clausifier_options --tstp-format
% 5.12/5.60 % --stdin false
% 5.12/5.60 % --dbg_backtrace false
% 5.12/5.60 % --dbg_dump_prop_clauses false
% 5.12/5.60 % --dbg_dump_prop_clauses_file -
% 5.12/5.60 % --dbg_out_stat false
% 5.12/5.60
% 5.12/5.60 % ------ General Options
% 5.12/5.60
% 5.12/5.60 % --fof false
% 5.12/5.60 % --time_out_real 150.
% 5.12/5.60 % --time_out_prep_mult 0.2
% 5.12/5.60 % --time_out_virtual -1.
% 5.12/5.60 % --schedule none
% 5.12/5.60 % --ground_splitting input
% 5.12/5.60 % --splitting_nvd 16
% 5.12/5.60 % --non_eq_to_eq false
% 5.12/5.60 % --prep_gs_sim true
% 5.12/5.60 % --prep_unflatten false
% 5.12/5.60 % --prep_res_sim true
% 5.12/5.60 % --prep_upred true
% 5.12/5.60 % --res_sim_input true
% 5.12/5.60 % --clause_weak_htbl true
% 5.12/5.60 % --gc_record_bc_elim false
% 5.12/5.60 % --symbol_type_check false
% 5.12/5.60 % --clausify_out false
% 5.12/5.60 % --large_theory_mode false
% 5.12/5.60 % --prep_sem_filter none
% 5.12/5.60 % --prep_sem_filter_out false
% 5.12/5.60 % --preprocessed_out false
% 5.12/5.60 % --sub_typing false
% 5.12/5.60 % --brand_transform false
% 5.12/5.60 % --pure_diseq_elim true
% 5.12/5.60 % --min_unsat_core false
% 5.12/5.60 % --pred_elim true
% 5.12/5.60 % --add_important_lit false
% 5.12/5.60 % --soft_assumptions false
% 5.12/5.60 % --reset_solvers false
% 5.12/5.60 % --bc_imp_inh []
% 5.12/5.60 % --conj_cone_tolerance 1.5
% 5.12/5.60 % --prolific_symb_bound 500
% 5.12/5.60 % --lt_threshold 2000
% 5.12/5.60
% 5.12/5.60 % ------ SAT Options
% 5.12/5.60
% 5.12/5.60 % --sat_mode false
% 5.12/5.60 % --sat_fm_restart_options ""
% 5.12/5.60 % --sat_gr_def false
% 5.12/5.60 % --sat_epr_types true
% 5.12/5.60 % --sat_non_cyclic_types false
% 5.12/5.60 % --sat_finite_models false
% 5.12/5.60 % --sat_fm_lemmas false
% 5.12/5.60 % --sat_fm_prep false
% 5.12/5.60 % --sat_fm_uc_incr true
% 5.12/5.60 % --sat_out_model small
% 5.12/5.60 % --sat_out_clauses false
% 5.12/5.60
% 5.12/5.60 % ------ QBF Options
% 5.12/5.60
% 5.12/5.60 % --qbf_mode false
% 5.12/5.60 % --qbf_elim_univ true
% 5.12/5.60 % --qbf_sk_in true
% 5.12/5.60 % --qbf_pred_elim true
% 5.12/5.60 % --qbf_split 32
% 5.12/5.60
% 5.12/5.60 % ------ BMC1 Options
% 5.12/5.60
% 5.12/5.60 % --bmc1_incremental false
% 5.12/5.60 % --bmc1_axioms reachable_all
% 5.12/5.60 % --bmc1_min_bound 0
% 5.12/5.60 % --bmc1_max_bound -1
% 5.12/5.60 % --bmc1_max_bound_default -1
% 5.12/5.60 % --bmc1_symbol_reachability true
% 5.12/5.60 % --bmc1_property_lemmas false
% 5.12/5.60 % --bmc1_k_induction false
% 5.12/5.60 % --bmc1_non_equiv_states false
% 5.12/5.60 % --bmc1_deadlock false
% 5.12/5.60 % --bmc1_ucm false
% 5.12/5.60 % --bmc1_add_unsat_core none
% 5.12/5.60 % --bmc1_unsat_core_children false
% 5.12/5.60 % --bmc1_unsat_core_extrapolate_axioms false
% 5.12/5.60 % --bmc1_out_stat full
% 5.12/5.60 % --bmc1_ground_init false
% 5.12/5.60 % --bmc1_pre_inst_next_state false
% 5.12/5.60 % --bmc1_pre_inst_state false
% 5.12/5.60 % --bmc1_pre_inst_reach_state false
% 5.12/5.60 % --bmc1_out_unsat_core false
% 5.12/5.60 % --bmc1_aig_witness_out false
% 5.12/5.60 % --bmc1_verbose false
% 5.12/5.60 % --bmc1_dump_clauses_tptp false
% 5.12/5.60 % --bmc1_dump_unsat_core_tptp false
% 5.12/5.60 % --bmc1_dump_file -
% 5.12/5.60 % --bmc1_ucm_expand_uc_limit 128
% 5.12/5.60 % --bmc1_ucm_n_expand_iterations 6
% 5.12/5.60 % --bmc1_ucm_extend_mode 1
% 5.12/5.60 % --bmc1_ucm_init_mode 2
% 5.12/5.60 % --bmc1_ucm_cone_mode none
% 5.12/5.60 % --bmc1_ucm_reduced_relation_type 0
% 5.12/5.60 % --bmc1_ucm_relax_model 4
% 5.12/5.60 % --bmc1_ucm_full_tr_after_sat true
% 5.12/5.60 % --bmc1_ucm_expand_neg_assumptions false
% 5.12/5.60 % --bmc1_ucm_layered_model none
% 5.12/5.60 % --bmc1_ucm_max_lemma_size 10
% 5.12/5.60
% 5.12/5.60 % ------ AIG Options
% 5.12/5.60
% 5.12/5.60 % --aig_mode false
% 5.12/5.60
% 5.12/5.60 % ------ Instantiation Options
% 5.12/5.60
% 5.12/5.60 % --instantiation_flag true
% 5.12/5.60 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 5.12/5.60 % --inst_solver_per_active 750
% 5.12/5.60 % --inst_solver_calls_frac 0.5
% 5.12/5.60 % --inst_passive_queue_type priority_queues
% 5.12/5.60 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 5.12/5.60 % --inst_passive_queues_freq [25;2]
% 5.12/5.60 % --inst_dismatching true
% 5.12/5.60 % --inst_eager_unprocessed_to_passive true
% 5.12/5.60 % --inst_prop_sim_given true
% 5.12/5.60 % --inst_prop_sim_new false
% 5.12/5.60 % --inst_orphan_elimination true
% 5.12/5.60 % --inst_learning_loop_flag true
% 5.12/5.60 % --inst_learning_start 3000
% 5.12/5.60 % --inst_learning_factor 2
% 5.12/5.60 % --inst_start_prop_sim_after_learn 3
% 5.12/5.60 % --inst_sel_renew solver
% 5.12/5.60 % --inst_lit_activity_flag true
% 5.12/5.60 % --inst_out_proof true
% 5.12/5.60
% 5.12/5.60 % ------ Resolution Options
% 5.12/5.60
% 5.12/5.60 % --resolution_flag true
% 5.12/5.60 % --res_lit_sel kbo_max
% 5.12/5.60 % --res_to_prop_solver none
% 5.12/5.60 % --res_prop_simpl_new false
% 5.12/5.60 % --res_prop_simpl_given false
% 5.12/5.60 % --res_passive_queue_type priority_queues
% 5.12/5.60 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 5.12/5.60 % --res_passive_queues_freq [15;5]
% 5.12/5.60 % --res_forward_subs full
% 5.12/5.60 % --res_backward_subs full
% 5.12/5.60 % --res_forward_subs_resolution true
% 5.12/5.60 % --res_backward_subs_resolution true
% 5.12/5.60 % --res_orphan_elimination false
% 5.12/5.60 % --res_time_limit 1000.
% 5.12/5.60 % --res_out_proof true
% 5.12/5.60 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f7ec06.s
% 5.12/5.60 % --modulo true
% 5.12/5.60
% 5.12/5.60 % ------ Combination Options
% 5.12/5.60
% 5.12/5.60 % --comb_res_mult 1000
% 5.12/5.60 % --comb_inst_mult 300
% 5.12/5.60 % ------
% 5.12/5.60
% 5.12/5.60
% 5.12/5.60
% 5.12/5.60 % ------ Proving...
% 5.12/5.60 % warning: shown sat in sat incomplete mode
% 5.12/5.60 %
% 5.12/5.60
% 5.12/5.60
% 5.12/5.60
% 5.12/5.60
% 5.12/5.60 cnf(c_2007,plain,
% 5.12/5.60 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1013_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8843,plain,
% 5.12/5.60 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_2007]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8844,plain,
% 5.12/5.60 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_i____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8843]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_2004,plain,
% 5.12/5.60 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1016_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8837,plain,
% 5.12/5.60 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_2004]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8838,plain,
% 5.12/5.60 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_i____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8837]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1909,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.60 | ~ class_Int_Onumber__ring(X0)
% 5.12/5.60 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3525_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8656,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.60 | ~ class_Int_Onumber__ring(X0)
% 5.12/5.60 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1909]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8657,plain,
% 5.12/5.60 ( ~ class_Int_Onumber__ring(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.60 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8656]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1906,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.60 | ~ class_Int_Onumber__ring(X0)
% 5.12/5.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3524_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8650,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.60 | ~ class_Int_Onumber__ring(X0)
% 5.12/5.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1906]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8651,plain,
% 5.12/5.60 ( ~ class_Int_Onumber__ring(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8650]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1892,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.12/5.60 | ~ class_Power_Opower(X0)
% 5.12/5.60 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.60 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3518_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8622,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.12/5.60 | ~ class_Power_Opower(X0)
% 5.12/5.60 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.60 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1892]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8623,plain,
% 5.12/5.60 ( ~ class_Power_Opower(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.12/5.60 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.60 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8622]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1889,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.12/5.60 | ~ class_Power_Opower(X0)
% 5.12/5.60 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3517_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8616,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.12/5.60 | ~ class_Power_Opower(X0)
% 5.12/5.60 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1889]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8617,plain,
% 5.12/5.60 ( ~ class_Power_Opower(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Osemiring__0(X0)
% 5.12/5.60 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8616]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1832,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.12/5.60 | ~ class_Power_Opower(X0)
% 5.12/5.60 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.60 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3494_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8502,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.12/5.60 | ~ class_Power_Opower(X0)
% 5.12/5.60 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.60 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1832]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8503,plain,
% 5.12/5.60 ( ~ class_Power_Opower(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.12/5.60 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.60 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8502]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1799,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.60 | ~ class_Int_Onumber__ring(X0)
% 5.12/5.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 5.12/5.60 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3481_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8436,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.60 | ~ class_Int_Onumber__ring(X0)
% 5.12/5.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 5.12/5.60 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1799]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8437,plain,
% 5.12/5.60 ( ~ class_Int_Onumber__ring(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.60 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 5.12/5.60 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8436]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1786,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.60 | ~ class_Int_Onumber__ring(X0)
% 5.12/5.60 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.60 | X1 = X2 ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3476_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8410,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.60 | ~ class_Int_Onumber__ring(X0)
% 5.12/5.60 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.60 | X1 = X2 ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1786]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8411,plain,
% 5.12/5.60 ( ~ class_Int_Onumber__ring(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.60 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.60 | X1 = X2 ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8410]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1782,plain,
% 5.12/5.60 ( X0 = X1
% 5.12/5.60 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3474_2) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8402,plain,
% 5.12/5.60 ( X0 = X1
% 5.12/5.60 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1782]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8403,plain,
% 5.12/5.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.12/5.60 | X0 = X1 ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8402]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1706,plain,
% 5.12/5.60 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.60 | X1 = X2
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3446_1) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8250,plain,
% 5.12/5.60 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.60 | X1 = X2
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1706]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8251,plain,
% 5.12/5.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.12/5.60 | ~ class_Orderings_Olinorder(X2)
% 5.12/5.60 | X0 = X1 ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8250]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1705,plain,
% 5.12/5.60 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.60 | X1 = X2
% 5.12/5.60 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3446_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8248,plain,
% 5.12/5.60 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.60 | X1 = X2
% 5.12/5.60 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1705]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8249,plain,
% 5.12/5.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.12/5.60 | ~ class_Orderings_Olinorder(X2)
% 5.12/5.60 | X1 = X0 ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8248]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1703,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.12/5.60 | X1 = X2
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3445_2) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8244,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.12/5.60 | X1 = X2
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1703]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8245,plain,
% 5.12/5.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.12/5.60 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 5.12/5.60 | X0 = X1 ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8244]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1701,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.12/5.60 | X2 = X1 ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3445_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8240,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.12/5.60 | X2 = X1 ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1701]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8241,plain,
% 5.12/5.60 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.60 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.12/5.60 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 5.12/5.60 | X1 = X0 ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8240]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1698,plain,
% 5.12/5.60 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 5.12/5.60 | X0 = X2
% 5.12/5.60 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3444_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8234,plain,
% 5.12/5.60 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 5.12/5.60 | X0 = X2
% 5.12/5.60 | c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1698]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8235,plain,
% 5.12/5.60 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.12/5.60 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 5.12/5.60 | X1 = X0 ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8234]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1695,plain,
% 5.12/5.60 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.12/5.60 | hBOOL(hAPP(X0,X3))
% 5.12/5.60 | hBOOL(hAPP(X0,X1)) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3443_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8228,plain,
% 5.12/5.60 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.12/5.60 | hBOOL(hAPP(X0,X3))
% 5.12/5.60 | hBOOL(hAPP(X0,X1)) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1695]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8229,plain,
% 5.12/5.60 ( hBOOL(hAPP(X0,X1))
% 5.12/5.60 | hBOOL(hAPP(X0,X2))
% 5.12/5.60 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3) ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8228]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1692,plain,
% 5.12/5.60 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.12/5.60 | hBOOL(hAPP(X0,X3))
% 5.12/5.60 | hBOOL(hAPP(X0,X2)) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3442_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8222,plain,
% 5.12/5.60 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.12/5.60 | hBOOL(hAPP(X0,X3))
% 5.12/5.60 | hBOOL(hAPP(X0,X2)) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1692]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8223,plain,
% 5.12/5.60 ( hBOOL(hAPP(X0,X1))
% 5.12/5.60 | hBOOL(hAPP(X0,X2))
% 5.12/5.60 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X2) ),
% 5.12/5.60 inference(rewriting,[status(thm)],[c_8222]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_1687,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.12/5.60 | ~ class_Power_Opower(X0)
% 5.12/5.60 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.60 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3441_0) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8212,plain,
% 5.12/5.60 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.12/5.60 | ~ class_Power_Opower(X0)
% 5.12/5.60 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.60 inference(copy,[status(esa)],[c_1687]) ).
% 5.12/5.60
% 5.12/5.60 cnf(c_8213,plain,
% 5.12/5.60 ( ~ class_Power_Opower(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.12/5.60 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.12/5.60 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_8212]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1681,plain,
% 5.12/5.61 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.12/5.61 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.12/5.61 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.12/5.61 | ~ class_Power_Opower(X0)
% 5.12/5.61 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3440_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_8200,plain,
% 5.12/5.61 ( ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.12/5.61 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.12/5.61 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.12/5.61 | ~ class_Power_Opower(X0)
% 5.12/5.61 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1681]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_8201,plain,
% 5.12/5.61 ( ~ class_Power_Opower(X0)
% 5.12/5.61 | ~ class_Ring__and__Field_Omult__zero(X0)
% 5.12/5.61 | ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.12/5.61 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 5.12/5.61 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_8200]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1606,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.12/5.61 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.12/5.61 | c_Suc(X0) = X1 ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3408_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_8050,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.12/5.61 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.12/5.61 | c_Suc(X0) = X1 ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1606]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_8051,plain,
% 5.12/5.61 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.12/5.61 | c_Suc(X0) = X1 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_8050]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1594,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3404_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_8026,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1594]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_8027,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X2)
% 5.12/5.61 | c_Orderings_Oord__class_Omin(X1,X0,X2) = X0 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_8026]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1591,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3403_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_8020,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1591]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_8021,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X2)
% 5.12/5.61 | c_Orderings_Oord__class_Omin(X0,X1,X2) = X0 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_8020]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1588,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3402_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_8014,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1588]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_8015,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X2)
% 5.12/5.61 | c_Orderings_Oord__class_Omax(X1,X0,X2) = X1 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_8014]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1585,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3401_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_8008,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1585]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_8009,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X2)
% 5.12/5.61 | c_Orderings_Oord__class_Omax(X0,X1,X2) = X1 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_8008]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1576,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1
% 5.12/5.61 | c_lessequals(X1,X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3397_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7990,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1
% 5.12/5.61 | c_lessequals(X1,X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1576]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7991,plain,
% 5.12/5.61 ( c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X2)
% 5.12/5.61 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7990]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1573,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2
% 5.12/5.61 | c_lessequals(X1,X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3396_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7984,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2
% 5.12/5.61 | c_lessequals(X1,X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1573]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7985,plain,
% 5.12/5.61 ( c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X2)
% 5.12/5.61 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7984]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1570,plain,
% 5.12/5.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.12/5.61 | hBOOL(hAPP(X0,X1))
% 5.12/5.61 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3395_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7978,plain,
% 5.12/5.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.12/5.61 | hBOOL(hAPP(X0,X1))
% 5.12/5.61 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1570]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7979,plain,
% 5.12/5.61 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 5.12/5.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.12/5.61 | hBOOL(hAPP(X0,X1)) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7978]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1562,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | X1 = X2
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3393_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7962,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | X1 = X2
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1562]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7963,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X2)
% 5.12/5.61 | X0 = X1 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7962]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1546,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | X1 = X2
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3389_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7930,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | X1 = X2
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1546]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7931,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Oorder(X2)
% 5.12/5.61 | X0 = X1 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7930]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1538,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | X2 = X1 ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3387_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7914,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | X2 = X1 ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1538]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7915,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Oorder(X2)
% 5.12/5.61 | X1 = X0 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7914]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1532,plain,
% 5.12/5.61 ( ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 5.12/5.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.12/5.61 | hBOOL(hAPP(X0,X1)) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3385_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7902,plain,
% 5.12/5.61 ( ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 5.12/5.61 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.12/5.61 | hBOOL(hAPP(X0,X1)) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1532]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7903,plain,
% 5.12/5.61 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.12/5.61 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 5.12/5.61 | hBOOL(hAPP(X0,X1)) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7902]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1525,plain,
% 5.12/5.61 ( ~ hBOOL(hAPP(X0,X1))
% 5.12/5.61 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 5.12/5.61 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3382_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7888,plain,
% 5.12/5.61 ( ~ hBOOL(hAPP(X0,X1))
% 5.12/5.61 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 5.12/5.61 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1525]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7889,plain,
% 5.12/5.61 ( c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 5.12/5.61 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.12/5.61 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7888]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1522,plain,
% 5.12/5.61 ( ~ c_Lambda_Obeta(X0,X1)
% 5.12/5.61 | ~ c_Type_Otyping(X2,X0,X3)
% 5.12/5.61 | c_Type_Otyping(X2,X1,X3) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3381_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7882,plain,
% 5.12/5.61 ( ~ c_Lambda_Obeta(X0,X1)
% 5.12/5.61 | ~ c_Type_Otyping(X2,X0,X3)
% 5.12/5.61 | c_Type_Otyping(X2,X1,X3) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1522]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7883,plain,
% 5.12/5.61 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.12/5.61 | c_Type_Otyping(X0,X3,X2)
% 5.12/5.61 | ~ c_Lambda_Obeta(X1,X3) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7882]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1504,plain,
% 5.12/5.61 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3372_2) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7846,plain,
% 5.12/5.61 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1504]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7847,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7846]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1471,plain,
% 5.12/5.61 ( X0 = X1
% 5.12/5.61 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.12/5.61 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3359_2) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7780,plain,
% 5.12/5.61 ( X0 = X1
% 5.12/5.61 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.12/5.61 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1471]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7781,plain,
% 5.12/5.61 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.12/5.61 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.12/5.61 | X0 = X1 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7780]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1459,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.12/5.61 | ~ c_lessequals(X1,X0,tc_nat)
% 5.12/5.61 | X0 = X1 ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3355_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7756,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.12/5.61 | ~ c_lessequals(X1,X0,tc_nat)
% 5.12/5.61 | X0 = X1 ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1459]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7757,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 5.12/5.61 | X1 = X0 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7756]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1444,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3350_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7726,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1444]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7727,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.12/5.61 | ~ class_Orderings_Opreorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7726]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1435,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X1,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3347_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7708,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X1,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1435]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7709,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X0,X1)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X1) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7708]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1427,plain,
% 5.12/5.61 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.61 | ~ class_Int_Onumber__ring(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.12/5.61 | X2 = X3 ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3344_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7692,plain,
% 5.12/5.61 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.61 | ~ class_Int_Onumber__ring(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.12/5.61 | X2 = X3 ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1427]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7693,plain,
% 5.12/5.61 ( ~ class_Int_Onumber__ring(X0)
% 5.12/5.61 | ~ class_Ring__and__Field_Oidom(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.12/5.61 | X2 = X3 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7692]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1411,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | X1 = X2
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X2,X1,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3339_2) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7660,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | X1 = X2
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X2,X1,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1411]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7661,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ c_lessequals(X1,X0,X2)
% 5.12/5.61 | ~ class_Orderings_Oorder(X2)
% 5.12/5.61 | X0 = X1 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7660]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1409,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X2,X1,X0)
% 5.12/5.61 | X2 = X1 ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3339_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7656,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X2,X1,X0)
% 5.12/5.61 | X2 = X1 ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1409]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7657,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ c_lessequals(X1,X0,X2)
% 5.12/5.61 | ~ class_Orderings_Oorder(X2)
% 5.12/5.61 | X1 = X0 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7656]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1406,plain,
% 5.12/5.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.12/5.61 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3338_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7650,plain,
% 5.12/5.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.12/5.61 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1406]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7651,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.12/5.61 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 5.12/5.61 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7650]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1402,plain,
% 5.12/5.61 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.12/5.61 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.12/5.61 | X2 = X1
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3336_2) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7642,plain,
% 5.12/5.61 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.12/5.61 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.12/5.61 | X2 = X1
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1402]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7643,plain,
% 5.12/5.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.12/5.61 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 5.12/5.61 | X0 = X1 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7642]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1400,plain,
% 5.12/5.61 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.12/5.61 | X2 = X1
% 5.12/5.61 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3336_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7638,plain,
% 5.12/5.61 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.12/5.61 | X2 = X1
% 5.12/5.61 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1400]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7639,plain,
% 5.12/5.61 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.12/5.61 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 5.12/5.61 | X1 = X0 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7638]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1374,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.12/5.61 | ~ c_lessequals(X2,X1,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3327_2) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7586,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.12/5.61 | ~ c_lessequals(X2,X1,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1374]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7587,plain,
% 5.12/5.61 ( c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ c_lessequals(X1,X0,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.12/5.61 | ~ class_Orderings_Opreorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7586]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1372,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | c_lessequals(X2,X1,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3327_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7582,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | c_lessequals(X2,X1,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1372]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7583,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | c_lessequals(X1,X0,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Opreorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7582]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1350,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 5.12/5.61 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3318_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7538,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 5.12/5.61 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1350]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7539,plain,
% 5.12/5.61 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7538]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1331,plain,
% 5.12/5.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3309_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7500,plain,
% 5.12/5.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1331]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7501,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.12/5.61 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7500]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1328,plain,
% 5.12/5.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.12/5.61 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 5.12/5.61 | c_lessequals(X1,X2,tc_nat) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3308_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7494,plain,
% 5.12/5.61 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.12/5.61 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 5.12/5.61 | c_lessequals(X1,X2,tc_nat) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1328]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7495,plain,
% 5.12/5.61 ( ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 5.12/5.61 | c_lessequals(X0,X2,tc_nat)
% 5.12/5.61 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7494]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1311,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3300_1) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7460,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1311]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7461,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.12/5.61 | ~ class_Orderings_Opreorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7460]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1310,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3300_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7458,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1310]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7459,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Opreorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7458]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1308,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X1,X3,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3299_2) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7454,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X1,X3,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1308]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7455,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.12/5.61 | ~ class_Orderings_Opreorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7454]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1306,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X3,X1,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3299_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7450,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X3,X1,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1306]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7451,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.12/5.61 | ~ class_Orderings_Opreorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7450]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1303,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_lessequals(X3,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X3,X1,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3298_1) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7444,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_lessequals(X3,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X3,X1,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1303]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7445,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | c_lessequals(X3,X1,X2)
% 5.12/5.61 | ~ c_lessequals(X3,X0,X2)
% 5.12/5.61 | ~ class_Orderings_Opreorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7444]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1302,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X3,X1,X0)
% 5.12/5.61 | c_lessequals(X3,X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3298_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7442,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X3,X1,X0)
% 5.12/5.61 | c_lessequals(X3,X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1302]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7443,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ c_lessequals(X3,X0,X2)
% 5.12/5.61 | c_lessequals(X3,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Opreorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7442]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1300,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X3,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3297_2) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7438,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X3,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1300]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7439,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.12/5.61 | ~ class_Orderings_Oorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7438]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1298,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X2,X3,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3297_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7434,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X2,X3,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1298]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7435,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Oorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7434]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1295,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3296_1) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7428,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1295]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7429,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.12/5.61 | ~ class_Orderings_Oorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7428]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1294,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3296_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7426,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1294]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7427,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.12/5.61 | ~ class_Orderings_Oorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7426]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1291,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_lessequals(X1,X3,X0)
% 5.12/5.61 | ~ c_lessequals(X2,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3295_1) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7420,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | c_lessequals(X1,X3,X0)
% 5.12/5.61 | ~ c_lessequals(X2,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1291]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7421,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | c_lessequals(X0,X3,X2)
% 5.12/5.61 | ~ c_lessequals(X1,X3,X2)
% 5.12/5.61 | ~ class_Orderings_Oorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7420]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1290,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X2,X3,X0)
% 5.12/5.61 | c_lessequals(X1,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3295_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7418,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.61 | ~ c_lessequals(X2,X3,X0)
% 5.12/5.61 | c_lessequals(X1,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1290]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7419,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.61 | ~ c_lessequals(X1,X3,X2)
% 5.12/5.61 | c_lessequals(X0,X3,X2)
% 5.12/5.61 | ~ class_Orderings_Oorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7418]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1287,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3294_1) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7412,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1287]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7413,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.12/5.61 | ~ class_Orderings_Oorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7412]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1286,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3294_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7410,plain,
% 5.12/5.61 ( ~ class_Orderings_Oorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1286]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7411,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.12/5.61 | ~ class_Orderings_Oorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7410]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1283,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3293_1) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7404,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1283]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7405,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.12/5.61 | ~ class_Orderings_Opreorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7404]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1282,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3293_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7402,plain,
% 5.12/5.61 ( ~ class_Orderings_Opreorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1282]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7403,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.12/5.61 | ~ class_Orderings_Opreorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7402]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1215,plain,
% 5.12/5.61 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.12/5.61 | ~ hBOOL(hAPP(X0,X1))
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat)
% 5.12/5.61 | ~ hBOOL(hAPP(X0,X2)) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3267_3) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7268,plain,
% 5.12/5.61 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.12/5.61 | ~ hBOOL(hAPP(X0,X1))
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat)
% 5.12/5.61 | ~ hBOOL(hAPP(X0,X2)) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1215]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7269,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X1,X2),tc_nat)
% 5.12/5.61 | hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.12/5.61 | ~ hBOOL(hAPP(X1,X2))
% 5.12/5.61 | ~ hBOOL(hAPP(X1,X0)) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7268]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1212,plain,
% 5.12/5.61 ( ~ hBOOL(hAPP(X0,X1))
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat)
% 5.12/5.61 | ~ hBOOL(hAPP(X0,X2))
% 5.12/5.61 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3267_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7262,plain,
% 5.12/5.61 ( ~ hBOOL(hAPP(X0,X1))
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat)
% 5.12/5.61 | ~ hBOOL(hAPP(X0,X2))
% 5.12/5.61 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1212]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7263,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X1,X2),tc_nat)
% 5.12/5.61 | hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.12/5.61 | ~ hBOOL(hAPP(X1,X0))
% 5.12/5.61 | ~ hBOOL(hAPP(X1,X2)) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7262]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1209,plain,
% 5.12/5.61 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.12/5.61 | X1 = X2 ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3266_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7256,plain,
% 5.12/5.61 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.12/5.61 | X1 = X2 ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1209]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7257,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.12/5.61 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 5.12/5.61 | X1 = X2 ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7256]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1165,plain,
% 5.12/5.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3249_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7168,plain,
% 5.12/5.61 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1165]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7169,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7168]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1161,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3248_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7160,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1161]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7161,plain,
% 5.12/5.61 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.61 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),c_HOL_Ozero__class_Ozero(X0)) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7160]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1158,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3247_2) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7154,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1158]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7155,plain,
% 5.12/5.61 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.61 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7154]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1156,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3247_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7150,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1156]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7151,plain,
% 5.12/5.61 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.61 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7150]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1153,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3246_2) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7144,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1153]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7145,plain,
% 5.12/5.61 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.61 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7144]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1151,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3246_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7140,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.61 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1151]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7141,plain,
% 5.12/5.61 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.61 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.61 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.61 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.12/5.61 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7140]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1142,plain,
% 5.12/5.61 ( ~ class_Ring__and__Field_Oring__1(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,tc_nat)
% 5.12/5.61 | 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) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3242_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7122,plain,
% 5.12/5.61 ( ~ class_Ring__and__Field_Oring__1(X0)
% 5.12/5.61 | ~ c_lessequals(X1,X2,tc_nat)
% 5.12/5.61 | 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) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1142]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7123,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.12/5.61 | ~ class_Ring__and__Field_Oring__1(X2)
% 5.12/5.61 | 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) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7122]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1130,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3237_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7098,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1130]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7099,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X2,X3)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X3) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7098]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1127,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3236_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7092,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1127]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7093,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X1,X3)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X3) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7092]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1118,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.12/5.61 | c_lessequals(X1,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3233_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7074,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.12/5.61 | c_lessequals(X1,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1118]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7075,plain,
% 5.12/5.61 ( ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.12/5.61 | c_lessequals(X0,X3,X2)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7074]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1115,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.12/5.61 | c_lessequals(X2,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3232_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7068,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.12/5.61 | c_lessequals(X2,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1115]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7069,plain,
% 5.12/5.61 ( ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.12/5.61 | c_lessequals(X1,X3,X2)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7068]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1112,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3231_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7062,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1112]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7063,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7062]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1109,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3230_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7056,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1109]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7057,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7056]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1100,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.12/5.61 | c_lessequals(X1,X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3227_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7038,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.12/5.61 | c_lessequals(X1,X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1100]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7039,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.12/5.61 | c_lessequals(X0,X1,X3)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X3) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7038]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1097,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.12/5.61 | c_lessequals(X1,X3,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3226_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7032,plain,
% 5.12/5.61 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.61 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.12/5.61 | c_lessequals(X1,X3,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1097]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7033,plain,
% 5.12/5.61 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.12/5.61 | c_lessequals(X0,X2,X3)
% 5.12/5.61 | ~ class_Orderings_Olinorder(X3) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7032]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1082,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.61 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3219_1) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7002,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.61 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1082]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7003,plain,
% 5.12/5.61 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.12/5.61 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.12/5.61 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 5.12/5.61 inference(rewriting,[status(thm)],[c_7002]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_1081,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.61 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.61 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3219_0) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7000,plain,
% 5.12/5.61 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.61 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.61 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.61 inference(copy,[status(esa)],[c_1081]) ).
% 5.12/5.61
% 5.12/5.61 cnf(c_7001,plain,
% 5.12/5.61 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.61 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.12/5.61 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.12/5.61 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_7000]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1078,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3218_1) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6994,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1078]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6995,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6994]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1077,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3218_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6992,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1077]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6993,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6992]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1074,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.62 | c_lessequals(X2,X1,X0)
% 5.12/5.62 | ~ c_lessequals(X4,X3,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3217_1) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6986,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.62 | c_lessequals(X2,X1,X0)
% 5.12/5.62 | ~ c_lessequals(X4,X3,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1074]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6987,plain,
% 5.12/5.62 ( c_lessequals(X0,X1,X2)
% 5.12/5.62 | ~ c_lessequals(X3,X4,X2)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6986]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1073,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.62 | ~ c_lessequals(X4,X3,X0)
% 5.12/5.62 | c_lessequals(X2,X1,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3217_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6984,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.62 | ~ c_lessequals(X4,X3,X0)
% 5.12/5.62 | c_lessequals(X2,X1,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1073]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6985,plain,
% 5.12/5.62 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.62 | c_lessequals(X3,X4,X2)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6984]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1070,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.62 | c_lessequals(X4,X3,X0)
% 5.12/5.62 | ~ c_lessequals(X2,X1,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3216_1) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6978,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.62 | c_lessequals(X4,X3,X0)
% 5.12/5.62 | ~ c_lessequals(X2,X1,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1070]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6979,plain,
% 5.12/5.62 ( c_lessequals(X0,X1,X2)
% 5.12/5.62 | ~ c_lessequals(X3,X4,X2)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6978]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1069,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.62 | ~ c_lessequals(X2,X1,X0)
% 5.12/5.62 | c_lessequals(X4,X3,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3216_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6976,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 5.12/5.62 | ~ c_lessequals(X2,X1,X0)
% 5.12/5.62 | c_lessequals(X4,X3,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1069]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6977,plain,
% 5.12/5.62 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.62 | c_lessequals(X3,X4,X2)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6976]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1066,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3215_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6970,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1066]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6971,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6970]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1063,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.12/5.62 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3214_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6964,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.12/5.62 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1063]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6965,plain,
% 5.12/5.62 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6964]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1060,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3213_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6958,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1060]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6959,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6958]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1057,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3212_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6952,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1057]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6953,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6952]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1054,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3211_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6946,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1054]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6947,plain,
% 5.12/5.62 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6946]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1051,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3210_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6940,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1051]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6941,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6940]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1048,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(X1,X2,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3209_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6934,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(X1,X2,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1048]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6935,plain,
% 5.12/5.62 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.12/5.62 | c_lessequals(X0,X1,X2)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6934]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1017,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3193_2) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6872,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1017]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6873,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6872]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1013,plain,
% 5.12/5.62 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 5.12/5.62 | X0 = X2
% 5.12/5.62 | ~ c_lessequals(X1,X0,tc_nat)
% 5.12/5.62 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3192_2) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6864,plain,
% 5.12/5.62 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 5.12/5.62 | X0 = X2
% 5.12/5.62 | ~ c_lessequals(X1,X0,tc_nat)
% 5.12/5.62 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1013]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6865,plain,
% 5.12/5.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.12/5.62 | ~ c_lessequals(X0,X2,tc_nat)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 5.12/5.62 | X1 = X2 ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6864]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1011,plain,
% 5.12/5.62 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 5.12/5.62 | ~ c_lessequals(X1,X2,tc_nat)
% 5.12/5.62 | ~ c_lessequals(X1,X0,tc_nat)
% 5.12/5.62 | X0 = X2 ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3192_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6860,plain,
% 5.12/5.62 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 5.12/5.62 | ~ c_lessequals(X1,X2,tc_nat)
% 5.12/5.62 | ~ c_lessequals(X1,X0,tc_nat)
% 5.12/5.62 | X0 = X2 ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1011]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6861,plain,
% 5.12/5.62 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.12/5.62 | ~ c_lessequals(X0,X2,tc_nat)
% 5.12/5.62 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 5.12/5.62 | X2 = X1 ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6860]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_1008,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3191_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6854,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_1008]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6855,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6854]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_992,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.62 | ~ c_lessequals(X3,X2,X0)
% 5.12/5.62 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3186_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6822,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.62 | ~ c_lessequals(X3,X2,X0)
% 5.12/5.62 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_992]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6823,plain,
% 5.12/5.62 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.12/5.62 | ~ c_lessequals(X1,X3,X2)
% 5.12/5.62 | ~ c_lessequals(X0,X3,X2)
% 5.12/5.62 | ~ class_Orderings_Olinorder(X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6822]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_988,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3185_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6814,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_988]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6815,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 5.12/5.62 | ~ class_Orderings_Olinorder(X3) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6814]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_984,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3184_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6806,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_984]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6807,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.12/5.62 | ~ class_Orderings_Olinorder(X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6806]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_972,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.62 | ~ c_lessequals(X1,X3,X0)
% 5.12/5.62 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3181_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6782,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.62 | ~ c_lessequals(X1,X3,X0)
% 5.12/5.62 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_972]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6783,plain,
% 5.12/5.62 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.12/5.62 | ~ c_lessequals(X0,X2,X3)
% 5.12/5.62 | ~ c_lessequals(X0,X1,X3)
% 5.12/5.62 | ~ class_Orderings_Olinorder(X3) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6782]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_953,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3173_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6744,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_953]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6745,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.12/5.62 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6744]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_924,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.12/5.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3164_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6686,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.12/5.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_924]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6687,plain,
% 5.12/5.62 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.12/5.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6686]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_919,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.12/5.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.12/5.62 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3163_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6676,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.12/5.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.12/5.62 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_919]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6677,plain,
% 5.12/5.62 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 5.12/5.62 | ~ c_lessequals(X2,X3,X0)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.12/5.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6676]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_914,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.12/5.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.12/5.62 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3162_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6666,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.12/5.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.12/5.62 | c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_914]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6667,plain,
% 5.12/5.62 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.12/5.62 | ~ c_lessequals(X2,X3,X0)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.12/5.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6666]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_909,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.12/5.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3161_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6656,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.12/5.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(X1,X2,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_909]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6657,plain,
% 5.12/5.62 ( ~ c_lessequals(X0,X1,X2)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2)
% 5.12/5.62 | ~ class_OrderedGroup_Ocomm__monoid__add(X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6656]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_905,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3160_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6648,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_905]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6649,plain,
% 5.12/5.62 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6648]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_901,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3159_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6640,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_901]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6641,plain,
% 5.12/5.62 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6640]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_897,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3158_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6632,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_897]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6633,plain,
% 5.12/5.62 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6632]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_893,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3157_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6624,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_893]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6625,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6624]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_889,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3156_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6616,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_889]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6617,plain,
% 5.12/5.62 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.12/5.62 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6616]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_885,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3155_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6608,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_885]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6609,plain,
% 5.12/5.62 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.12/5.62 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6608]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_881,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3154_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6600,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_881]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6601,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6600]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_877,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3153_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6592,plain,
% 5.12/5.62 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_877]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6593,plain,
% 5.12/5.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6592]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_876,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3152_2) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6590,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_876]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6591,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6590]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_873,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3151_2) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6584,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_873]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6585,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6584]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_867,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3150_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6572,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_867]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6573,plain,
% 5.12/5.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6572]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_859,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.12/5.62 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3148_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6556,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.12/5.62 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_859]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6557,plain,
% 5.12/5.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6556]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_855,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3147_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6548,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_855]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6549,plain,
% 5.12/5.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6548]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_851,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.12/5.62 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3146_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6540,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.12/5.62 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_851]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6541,plain,
% 5.12/5.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6540]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_847,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3145_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6532,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_847]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6533,plain,
% 5.12/5.62 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6532]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_811,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3136_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6460,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_811]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6461,plain,
% 5.12/5.62 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.12/5.62 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.12/5.62 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.12/5.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6460]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_803,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3134_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6444,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_803]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6445,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.12/5.62 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6444]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_799,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3133_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6436,plain,
% 5.12/5.62 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_799]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6437,plain,
% 5.12/5.62 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.12/5.62 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6436]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_790,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3129_1) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6418,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_790]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6419,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.12/5.62 | ~ class_Orderings_Olinorder(X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6418]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_789,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3129_0) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6416,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.62 inference(copy,[status(esa)],[c_789]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6417,plain,
% 5.12/5.62 ( ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.12/5.62 | ~ class_Orderings_Olinorder(X2) ),
% 5.12/5.62 inference(rewriting,[status(thm)],[c_6416]) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_786,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.12/5.62 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3128_1) ).
% 5.12/5.62
% 5.12/5.62 cnf(c_6410,plain,
% 5.12/5.62 ( ~ class_Orderings_Olinorder(X0)
% 5.12/5.62 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.12/5.62 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_786]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6411,plain,
% 5.37/5.63 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X0,X1,X3)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X0,X2,X3)
% 5.37/5.63 | ~ class_Orderings_Olinorder(X3) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6410]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_785,plain,
% 5.37/5.63 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3128_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6408,plain,
% 5.37/5.63 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_785]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6409,plain,
% 5.37/5.63 ( ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X0,X2,X3)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X0,X1,X3)
% 5.37/5.63 | ~ class_Orderings_Olinorder(X3) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6408]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_782,plain,
% 5.37/5.63 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.63 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.37/5.63 | c_lessequals(X1,X3,X0)
% 5.37/5.63 | c_lessequals(X2,X3,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3127_1) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6402,plain,
% 5.37/5.63 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.63 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.37/5.63 | c_lessequals(X1,X3,X0)
% 5.37/5.63 | c_lessequals(X2,X3,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_782]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6403,plain,
% 5.37/5.63 ( ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.37/5.63 | c_lessequals(X0,X3,X2)
% 5.37/5.63 | c_lessequals(X1,X3,X2)
% 5.37/5.63 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6402]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_781,plain,
% 5.37/5.63 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.63 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.37/5.63 | c_lessequals(X2,X3,X0)
% 5.37/5.63 | c_lessequals(X1,X3,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3127_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6400,plain,
% 5.37/5.63 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.63 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 5.37/5.63 | c_lessequals(X2,X3,X0)
% 5.37/5.63 | c_lessequals(X1,X3,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_781]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6401,plain,
% 5.37/5.63 ( ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.37/5.63 | c_lessequals(X1,X3,X2)
% 5.37/5.63 | c_lessequals(X0,X3,X2)
% 5.37/5.63 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6400]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_778,plain,
% 5.37/5.63 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.63 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.37/5.63 | c_lessequals(X1,X2,X0)
% 5.37/5.63 | c_lessequals(X1,X3,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3126_1) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6394,plain,
% 5.37/5.63 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.63 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.37/5.63 | c_lessequals(X1,X2,X0)
% 5.37/5.63 | c_lessequals(X1,X3,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_778]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6395,plain,
% 5.37/5.63 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.37/5.63 | c_lessequals(X0,X1,X3)
% 5.37/5.63 | c_lessequals(X0,X2,X3)
% 5.37/5.63 | ~ class_Orderings_Olinorder(X3) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6394]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_777,plain,
% 5.37/5.63 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.63 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.37/5.63 | c_lessequals(X1,X3,X0)
% 5.37/5.63 | c_lessequals(X1,X2,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3126_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6392,plain,
% 5.37/5.63 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.63 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 5.37/5.63 | c_lessequals(X1,X3,X0)
% 5.37/5.63 | c_lessequals(X1,X2,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_777]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6393,plain,
% 5.37/5.63 ( ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.37/5.63 | c_lessequals(X0,X2,X3)
% 5.37/5.63 | c_lessequals(X0,X1,X3)
% 5.37/5.63 | ~ class_Orderings_Olinorder(X3) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6392]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_774,plain,
% 5.37/5.63 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.37/5.63 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.37/5.63 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3125_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6386,plain,
% 5.37/5.63 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.37/5.63 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.37/5.63 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_774]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6387,plain,
% 5.37/5.63 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.63 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.37/5.63 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6386]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_771,plain,
% 5.37/5.63 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.37/5.63 | 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) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3124_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6380,plain,
% 5.37/5.63 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.37/5.63 | 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) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_771]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6381,plain,
% 5.37/5.63 ( 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)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6380]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_751,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 5.37/5.63 | X1 = X3
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3115_2) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6340,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 5.37/5.63 | X1 = X3
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_751]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6341,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 5.37/5.63 | X1 = X2 ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6340]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_749,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | X1 = X3 ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3115_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6336,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | X1 = X3 ),
% 5.37/5.63 inference(copy,[status(esa)],[c_749]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6337,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 5.37/5.63 | X2 = X1 ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6336]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_745,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3114_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6328,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_745]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6329,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6328]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_741,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3113_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6320,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_741]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6321,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6320]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_737,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3112_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6312,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_737]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6313,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6312]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_733,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3111_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6304,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_733]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6305,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6304]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_729,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3110_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6296,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_729]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6297,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.63 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6296]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_726,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3109_1) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6290,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_726]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6291,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6290]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_725,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3109_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6288,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_725]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6289,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6288]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_722,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3108_1) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6282,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_722]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6283,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6282]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_721,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3108_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6280,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_721]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6281,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6280]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_717,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3107_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6272,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_717]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6273,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.63 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6272]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_714,plain,
% 5.37/5.63 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.37/5.63 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3106_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6266,plain,
% 5.37/5.63 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.37/5.63 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X3),X1),tc_nat) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_714]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6267,plain,
% 5.37/5.63 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3),tc_nat)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6266]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_711,plain,
% 5.37/5.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.63 | ~ c_lessequals(X2,X3,tc_nat)
% 5.37/5.63 | 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) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3105_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6260,plain,
% 5.37/5.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.63 | ~ c_lessequals(X2,X3,tc_nat)
% 5.37/5.63 | 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) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_711]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6261,plain,
% 5.37/5.63 ( 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)
% 5.37/5.63 | ~ c_lessequals(X1,X3,tc_nat)
% 5.37/5.63 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6260]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_686,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3093_2) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6210,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_686]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6211,plain,
% 5.37/5.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6210]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_684,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3093_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6206,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_684]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6207,plain,
% 5.37/5.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6206]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_682,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3092_2) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6202,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_682]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6203,plain,
% 5.37/5.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6202]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_680,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3092_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6198,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_680]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6199,plain,
% 5.37/5.63 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6198]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_677,plain,
% 5.37/5.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.63 | ~ c_lessequals(X2,X3,tc_nat)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3091_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6192,plain,
% 5.37/5.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.63 | ~ c_lessequals(X2,X3,tc_nat)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_677]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6193,plain,
% 5.37/5.63 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 5.37/5.63 | ~ c_lessequals(X1,X3,tc_nat)
% 5.37/5.63 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6192]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_671,plain,
% 5.37/5.63 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.37/5.63 | 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) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3089_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6180,plain,
% 5.37/5.63 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.37/5.63 | 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) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_671]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6181,plain,
% 5.37/5.63 ( 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)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6180]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_633,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.37/5.63 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.37/5.63 | 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) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3074_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6104,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.37/5.63 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.37/5.63 | 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) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_633]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6105,plain,
% 5.37/5.63 ( ~ c_lessequals(X0,X1,X2)
% 5.37/5.63 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X4),X1),X2)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.37/5.63 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6104]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_629,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.63 | ~ c_lessequals(X3,X4,X0)
% 5.37/5.63 | 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) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3073_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6096,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.63 | ~ c_lessequals(X3,X4,X0)
% 5.37/5.63 | 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) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_629]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6097,plain,
% 5.37/5.63 ( ~ c_lessequals(X0,X1,X2)
% 5.37/5.63 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X4),X2)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 5.37/5.63 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6096]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_625,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.37/5.63 | 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) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3072_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6088,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 5.37/5.63 | 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) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_625]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6089,plain,
% 5.37/5.63 ( 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)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.63 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6088]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_621,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.37/5.63 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.63 | ~ c_lessequals(X3,X4,X0)
% 5.37/5.63 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3071_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6080,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.37/5.63 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.63 | ~ c_lessequals(X3,X4,X0)
% 5.37/5.63 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_621]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6081,plain,
% 5.37/5.63 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 5.37/5.63 | ~ c_lessequals(X2,X4,X0)
% 5.37/5.63 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.63 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6080]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_613,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3068_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6064,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_613]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6065,plain,
% 5.37/5.63 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6064]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_601,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3065_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6040,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_601]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6041,plain,
% 5.37/5.63 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6040]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_585,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3061_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6008,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.63 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_585]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_6009,plain,
% 5.37/5.63 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_6008]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_569,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3057_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5976,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_569]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5977,plain,
% 5.37/5.63 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.63 | ~ c_lessequals(X1,X3,X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5976]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_565,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3056_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5968,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_565]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5969,plain,
% 5.37/5.63 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.63 | ~ c_lessequals(X1,X3,X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5968]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_561,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3055_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5960,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_561]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5961,plain,
% 5.37/5.63 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.63 | ~ c_lessequals(X0,X3,X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5960]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_557,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.63 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3054_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5952,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.63 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_557]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5953,plain,
% 5.37/5.63 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.63 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | ~ c_lessequals(X3,X1,X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5952]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_553,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.63 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3053_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5944,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.63 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_553]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5945,plain,
% 5.37/5.63 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.37/5.63 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | ~ c_lessequals(X3,X0,X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5944]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_549,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3052_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5936,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_549]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5937,plain,
% 5.37/5.63 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.63 | ~ c_lessequals(X1,X3,X2)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5936]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_545,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3051_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5928,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.63 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.63 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_545]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5929,plain,
% 5.37/5.63 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.63 | ~ c_lessequals(X3,X1,X2)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5928]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_541,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.63 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3050_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5920,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.63 | c_lessequals(c_Power_Opower__class_Opower(X1,X3,X0),c_Power_Opower__class_Opower(X2,X3,X0),X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_541]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5921,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 5.37/5.63 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5920]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_537,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.37/5.63 | X1 = X3
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3049_2) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5912,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.37/5.63 | X1 = X3
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_537]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5913,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | c_Power_Opower__class_Opower(X1,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X0)
% 5.37/5.63 | X1 = X2 ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5912]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_535,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | X1 = X3 ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3049_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5908,plain,
% 5.37/5.63 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | X1 = X3 ),
% 5.37/5.63 inference(copy,[status(esa)],[c_535]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5909,plain,
% 5.37/5.63 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.63 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.63 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 5.37/5.63 | ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.63 | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 5.37/5.63 | X2 = X1 ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5908]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_521,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.63 | ~ 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)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3043_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5880,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.63 | ~ 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)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_521]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5881,plain,
% 5.37/5.63 ( ~ 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)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.63 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5880]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_518,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.63 | ~ 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)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3042_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5874,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.63 | ~ 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)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_518]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5875,plain,
% 5.37/5.63 ( ~ 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)
% 5.37/5.63 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.63 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5874]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_515,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.63 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.37/5.63 | c_lessequals(X2,X3,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3041_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5868,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.63 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.37/5.63 | c_lessequals(X2,X3,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_515]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5869,plain,
% 5.37/5.63 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.37/5.63 | c_lessequals(X2,X3,X0)
% 5.37/5.63 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5868]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_512,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.63 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.37/5.63 | c_lessequals(X1,X3,X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3040_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5862,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.63 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.37/5.63 | c_lessequals(X1,X3,X0) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_512]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5863,plain,
% 5.37/5.63 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.37/5.63 | c_lessequals(X1,X3,X0)
% 5.37/5.63 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5862]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_509,plain,
% 5.37/5.63 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.37/5.63 | ~ c_lessequals(X2,X1,tc_nat)
% 5.37/5.63 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3039_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5856,plain,
% 5.37/5.63 ( ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.37/5.63 | ~ c_lessequals(X2,X1,tc_nat)
% 5.37/5.63 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_509]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5857,plain,
% 5.37/5.63 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.63 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.37/5.63 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5856]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_501,plain,
% 5.37/5.63 ( 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)
% 5.37/5.63 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.63 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3035_2) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5840,plain,
% 5.37/5.63 ( 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)
% 5.37/5.63 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.63 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.63 inference(copy,[status(esa)],[c_501]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5841,plain,
% 5.37/5.63 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.63 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.63 | 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) ),
% 5.37/5.63 inference(rewriting,[status(thm)],[c_5840]) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_492,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.37/5.63 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.63 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 5.37/5.63 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 5.37/5.63 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3033_0) ).
% 5.37/5.63
% 5.37/5.63 cnf(c_5822,plain,
% 5.37/5.63 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.37/5.63 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.63 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 5.37/5.63 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_492]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5823,plain,
% 5.37/5.64 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 5.37/5.64 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 5.37/5.64 | ~ c_lessequals(X3,X4,X1)
% 5.37/5.64 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5822]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_482,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.64 | 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)
% 5.37/5.64 | ~ c_lessequals(X2,X0,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3028_2) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5802,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.64 | 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)
% 5.37/5.64 | ~ c_lessequals(X2,X0,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_482]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5803,plain,
% 5.37/5.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5802]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_480,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X2,X1,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X2,X0,tc_nat)
% 5.37/5.64 | 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) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3028_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5798,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X2,X1,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X2,X0,tc_nat)
% 5.37/5.64 | 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) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_480]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5799,plain,
% 5.37/5.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.64 | 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)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5798]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_469,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.37/5.64 | ~ class_Int_Onumber__ring(X0)
% 5.37/5.64 | 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))
% 5.37/5.64 | X3 = X4
% 5.37/5.64 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3025_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5776,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.37/5.64 | ~ class_Int_Onumber__ring(X0)
% 5.37/5.64 | 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))
% 5.37/5.64 | X3 = X4
% 5.37/5.64 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_469]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5777,plain,
% 5.37/5.64 ( ~ class_Int_Onumber__ring(X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oidom(X0)
% 5.37/5.64 | 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))
% 5.37/5.64 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.64 | X3 = X4 ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5776]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_454,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3018_1) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5746,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_454]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5747,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5746]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_453,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3018_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5744,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_453]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5745,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5744]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_450,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3017_1) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5738,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_450]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5739,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5738]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_449,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3017_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5736,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_449]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5737,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5736]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_443,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3015_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5724,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_443]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5725,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5724]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_439,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3014_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5716,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_439]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5717,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5716]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_435,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3013_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5708,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_435]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5709,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5708]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_431,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3012_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5700,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_431]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5701,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5700]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_426,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3011_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5690,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X1,X0),c_Power_Opower__class_Opower(X3,X1,X0),X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_426]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5691,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5690]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_418,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3008_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5674,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_418]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5675,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5674]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_414,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3007_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5666,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_414]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5667,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5666]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_402,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 5.37/5.64 | c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3003_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5642,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat)
% 5.37/5.64 | c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_402]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5643,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 5.37/5.64 | c_lessequals(X0,X2,tc_nat)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5642]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_398,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3002_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5634,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_398]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5635,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5634]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_394,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3001_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5626,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_394]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5627,plain,
% 5.37/5.64 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5626]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_390,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.37/5.64 | c_lessequals(X2,X3,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3000_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5618,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.37/5.64 | c_lessequals(X2,X3,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_390]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5619,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.37/5.64 | c_lessequals(X0,X3,X2)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5618]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_386,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_lessequals(X2,X3,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2999_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5610,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_lessequals(X2,X3,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_386]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5611,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.64 | c_lessequals(X1,X3,X2)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5610]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_382,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | c_lessequals(X2,X3,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2998_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5602,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | c_lessequals(X2,X3,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_382]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5603,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.64 | c_lessequals(X1,X3,X2)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5602]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_378,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.64 | c_lessequals(X3,X2,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2997_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5594,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.64 | c_lessequals(X3,X2,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_378]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5595,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.64 | c_lessequals(X3,X1,X2)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5594]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_374,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2996_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5586,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_374]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5587,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5586]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_370,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2995_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5578,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_370]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5579,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5578]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_366,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2994_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5570,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_366]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5571,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5570]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_362,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2993_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5562,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_362]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5563,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5562]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_358,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2992_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5554,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_358]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5555,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5554]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_346,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 5.37/5.64 | c_lessequals(X2,X1,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2988_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5530,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 5.37/5.64 | c_lessequals(X2,X1,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_346]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5531,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 5.37/5.64 | c_lessequals(X2,X1,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5530]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_344,plain,
% 5.37/5.64 ( ~ 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)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2987_2) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5526,plain,
% 5.37/5.64 ( ~ 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)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_344]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5527,plain,
% 5.37/5.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5526]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_342,plain,
% 5.37/5.64 ( ~ 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)
% 5.37/5.64 | ~ c_lessequals(X1,X2,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2987_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5522,plain,
% 5.37/5.64 ( ~ 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)
% 5.37/5.64 | ~ c_lessequals(X1,X2,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_342]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5523,plain,
% 5.37/5.64 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.64 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.64 | ~ 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)
% 5.37/5.64 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5522]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_336,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2985_4) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5510,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_336]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5511,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5510]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_334,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2985_2) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5506,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_334]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5507,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5506]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_332,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2985_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5502,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_332]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5503,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5502]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_330,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.37/5.64 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.64 | ~ c_lessequals(X2,X4,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2984_4) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5498,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.37/5.64 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.64 | ~ c_lessequals(X2,X4,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_330]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5499,plain,
% 5.37/5.64 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.64 | ~ c_lessequals(X0,X3,X2)
% 5.37/5.64 | ~ c_lessequals(X1,X4,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5498]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_328,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.64 | ~ c_lessequals(X1,X4,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2984_2) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5494,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.64 | ~ c_lessequals(X1,X4,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_328]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5495,plain,
% 5.37/5.64 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.64 | ~ c_lessequals(X0,X3,X2)
% 5.37/5.64 | ~ c_lessequals(X1,X4,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5494]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_326,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.64 | ~ c_lessequals(X2,X4,X0)
% 5.37/5.64 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2984_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5490,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.64 | ~ c_lessequals(X2,X4,X0)
% 5.37/5.64 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_326]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5491,plain,
% 5.37/5.64 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.64 | ~ c_lessequals(X1,X4,X2)
% 5.37/5.64 | ~ c_lessequals(X0,X3,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5490]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_324,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.37/5.64 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.64 | ~ c_lessequals(X2,X4,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2983_4) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5486,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.37/5.64 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.64 | ~ c_lessequals(X2,X4,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_324]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5487,plain,
% 5.37/5.64 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.64 | ~ c_lessequals(X0,X3,X2)
% 5.37/5.64 | ~ c_lessequals(X1,X4,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5486]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_322,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 5.37/5.64 | ~ c_lessequals(X3,X2,X0)
% 5.37/5.64 | ~ c_lessequals(X1,X4,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2983_2) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5482,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 5.37/5.64 | ~ c_lessequals(X3,X2,X0)
% 5.37/5.64 | ~ c_lessequals(X1,X4,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_322]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5483,plain,
% 5.37/5.64 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 5.37/5.64 | ~ c_lessequals(X0,X3,X2)
% 5.37/5.64 | ~ c_lessequals(X1,X4,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5482]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_320,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.64 | ~ c_lessequals(X4,X2,X0)
% 5.37/5.64 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2983_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5478,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.64 | ~ c_lessequals(X4,X2,X0)
% 5.37/5.64 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_320]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5479,plain,
% 5.37/5.64 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 5.37/5.64 | ~ c_lessequals(X1,X4,X2)
% 5.37/5.64 | ~ c_lessequals(X0,X3,X2)
% 5.37/5.64 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5478]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_314,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.64 | ~ c_lessequals(X2,X4,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2982_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5466,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.64 | ~ c_lessequals(X2,X4,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_314]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5467,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5466]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_308,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2981_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5454,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_308]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5455,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5454]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_304,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2980_2) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5446,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_304]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5447,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5446]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_302,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2980_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5442,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.64 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X4,X2,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_302]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5443,plain,
% 5.37/5.64 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.64 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 5.37/5.64 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5442]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_284,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.37/5.64 | ~ class_Int_Onumber__ring(X0)
% 5.37/5.64 | 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)) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2972_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5406,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.37/5.64 | ~ class_Int_Onumber__ring(X0)
% 5.37/5.64 | 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)) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_284]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5407,plain,
% 5.37/5.64 ( ~ class_Int_Onumber__ring(X0)
% 5.37/5.64 | ~ class_Ring__and__Field_Oidom(X0)
% 5.37/5.64 | 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)) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5406]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_279,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | 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)
% 5.37/5.64 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2970_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5396,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | 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)
% 5.37/5.64 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_279]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5397,plain,
% 5.37/5.64 ( 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)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5396]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_276,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | 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)
% 5.37/5.64 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2969_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5390,plain,
% 5.37/5.64 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | 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)
% 5.37/5.64 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_276]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5391,plain,
% 5.37/5.64 ( 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)
% 5.37/5.64 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.64 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5390]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_259,plain,
% 5.37/5.64 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.37/5.64 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 5.37/5.64 | c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2961_0) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5356,plain,
% 5.37/5.64 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.37/5.64 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X2,tc_Type_Otype),X4,X5)
% 5.37/5.64 | c_Type_Otyping(X0,c_Lambda_Osubst(X4,X1,X3),X5) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_259]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5357,plain,
% 5.37/5.64 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 5.37/5.64 | c_Type_Otyping(X0,c_Lambda_Osubst(X3,X5,X1),X4)
% 5.37/5.64 | ~ c_Type_Otyping(X0,X5,X2) ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5356]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_256,plain,
% 5.37/5.64 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.37/5.64 | ~ c_Type_Otyping(X2,X3,X0)
% 5.37/5.64 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 5.37/5.64 | ~ c_InductTermi_OIT(X4)
% 5.37/5.64 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6)
% 5.37/5.64 | ~ c_InductTermi_OIT(X3) ),
% 5.37/5.64 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2960_3) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5350,plain,
% 5.37/5.64 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.37/5.64 | ~ c_Type_Otyping(X2,X3,X0)
% 5.37/5.64 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 5.37/5.64 | ~ c_InductTermi_OIT(X4)
% 5.37/5.64 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6)
% 5.37/5.64 | ~ c_InductTermi_OIT(X3) ),
% 5.37/5.64 inference(copy,[status(esa)],[c_256]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_5351,plain,
% 5.37/5.64 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 5.37/5.64 | ~ c_Type_Otyping(X0,X5,X2)
% 5.37/5.64 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 5.37/5.64 | ~ c_InductTermi_OIT(X3)
% 5.37/5.64 | ~ c_InductTermi_OIT(X5)
% 5.37/5.64 | hAPP(hAPP(c_Type_Otype_OFun,X2),X6) != v_T____ ),
% 5.37/5.64 inference(rewriting,[status(thm)],[c_5350]) ).
% 5.37/5.64
% 5.37/5.64 cnf(c_253,plain,
% 5.37/5.64 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.37/5.65 | ~ c_Type_Otyping(X2,X3,X0)
% 5.37/5.65 | ~ c_InductTermi_OIT(X3)
% 5.37/5.65 | ~ c_Type_Otyping(c_Type_Oshift(X2,X4,X0,tc_Type_Otype),X5,X6)
% 5.37/5.65 | ~ c_InductTermi_OIT(X5)
% 5.37/5.65 | c_InductTermi_OIT(c_Lambda_Osubst(X5,X3,X4)) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2960_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5344,plain,
% 5.37/5.65 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.37/5.65 | ~ c_Type_Otyping(X2,X3,X0)
% 5.37/5.65 | ~ c_InductTermi_OIT(X3)
% 5.37/5.65 | ~ c_Type_Otyping(c_Type_Oshift(X2,X4,X0,tc_Type_Otype),X5,X6)
% 5.37/5.65 | ~ c_InductTermi_OIT(X5)
% 5.37/5.65 | c_InductTermi_OIT(c_Lambda_Osubst(X5,X3,X4)) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_253]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5345,plain,
% 5.37/5.65 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 5.37/5.65 | ~ c_Type_Otyping(X0,X5,X2)
% 5.37/5.65 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 5.37/5.65 | ~ c_InductTermi_OIT(X5)
% 5.37/5.65 | ~ c_InductTermi_OIT(X3)
% 5.37/5.65 | hAPP(hAPP(c_Type_Otype_OFun,X2),X6) != v_T____ ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5344]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_250,plain,
% 5.37/5.65 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.37/5.65 | ~ c_Type_Otyping(X2,X3,X1)
% 5.37/5.65 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 5.37/5.65 | ~ c_InductTermi_OIT(X4)
% 5.37/5.65 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6)
% 5.37/5.65 | ~ c_InductTermi_OIT(X3) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2959_3) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5338,plain,
% 5.37/5.65 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.37/5.65 | ~ c_Type_Otyping(X2,X3,X1)
% 5.37/5.65 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 5.37/5.65 | ~ c_InductTermi_OIT(X4)
% 5.37/5.65 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6)
% 5.37/5.65 | ~ c_InductTermi_OIT(X3) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_250]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5339,plain,
% 5.37/5.65 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 5.37/5.65 | ~ c_Type_Otyping(X0,X5,X2)
% 5.37/5.65 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 5.37/5.65 | ~ c_InductTermi_OIT(X3)
% 5.37/5.65 | ~ c_InductTermi_OIT(X5)
% 5.37/5.65 | hAPP(hAPP(c_Type_Otype_OFun,X6),X2) != v_T____ ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5338]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_247,plain,
% 5.37/5.65 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.37/5.65 | ~ c_Type_Otyping(X2,X3,X1)
% 5.37/5.65 | ~ c_InductTermi_OIT(X3)
% 5.37/5.65 | ~ c_Type_Otyping(c_Type_Oshift(X2,X4,X1,tc_Type_Otype),X5,X6)
% 5.37/5.65 | ~ c_InductTermi_OIT(X5)
% 5.37/5.65 | c_InductTermi_OIT(c_Lambda_Osubst(X5,X3,X4)) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2959_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5332,plain,
% 5.37/5.65 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 5.37/5.65 | ~ c_Type_Otyping(X2,X3,X1)
% 5.37/5.65 | ~ c_InductTermi_OIT(X3)
% 5.37/5.65 | ~ c_Type_Otyping(c_Type_Oshift(X2,X4,X1,tc_Type_Otype),X5,X6)
% 5.37/5.65 | ~ c_InductTermi_OIT(X5)
% 5.37/5.65 | c_InductTermi_OIT(c_Lambda_Osubst(X5,X3,X4)) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_247]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5333,plain,
% 5.37/5.65 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 5.37/5.65 | ~ c_Type_Otyping(X0,X5,X2)
% 5.37/5.65 | c_InductTermi_OIT(c_Lambda_Osubst(X3,X5,X1))
% 5.37/5.65 | ~ c_InductTermi_OIT(X5)
% 5.37/5.65 | ~ c_InductTermi_OIT(X3)
% 5.37/5.65 | hAPP(hAPP(c_Type_Otype_OFun,X6),X2) != v_T____ ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5332]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_232,plain,
% 5.37/5.65 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.37/5.65 | ~ class_Int_Onumber__ring(X0)
% 5.37/5.65 | 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))
% 5.37/5.65 | X1 = X3
% 5.37/5.65 | X2 = X4 ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2955_1) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5302,plain,
% 5.37/5.65 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.37/5.65 | ~ class_Int_Onumber__ring(X0)
% 5.37/5.65 | 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))
% 5.37/5.65 | X1 = X3
% 5.37/5.65 | X2 = X4 ),
% 5.37/5.65 inference(copy,[status(esa)],[c_232]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5303,plain,
% 5.37/5.65 ( ~ class_Int_Onumber__ring(X0)
% 5.37/5.65 | ~ class_Ring__and__Field_Oidom(X0)
% 5.37/5.65 | 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))
% 5.37/5.65 | X1 = X3
% 5.37/5.65 | X2 = X4 ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5302]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_231,plain,
% 5.37/5.65 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.37/5.65 | ~ class_Int_Onumber__ring(X0)
% 5.37/5.65 | 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))
% 5.37/5.65 | X2 = X4
% 5.37/5.65 | X1 = X3 ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2955_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5300,plain,
% 5.37/5.65 ( ~ class_Ring__and__Field_Oidom(X0)
% 5.37/5.65 | ~ class_Int_Onumber__ring(X0)
% 5.37/5.65 | 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))
% 5.37/5.65 | X2 = X4
% 5.37/5.65 | X1 = X3 ),
% 5.37/5.65 inference(copy,[status(esa)],[c_231]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5301,plain,
% 5.37/5.65 ( ~ class_Int_Onumber__ring(X0)
% 5.37/5.65 | ~ class_Ring__and__Field_Oidom(X0)
% 5.37/5.65 | 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))
% 5.37/5.65 | X2 = X4
% 5.37/5.65 | X1 = X3 ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5300]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_222,plain,
% 5.37/5.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.65 | ~ 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)
% 5.37/5.65 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2951_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5282,plain,
% 5.37/5.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.65 | ~ 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)
% 5.37/5.65 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_222]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5283,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.65 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5282]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_219,plain,
% 5.37/5.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.65 | ~ 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)
% 5.37/5.65 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2950_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5276,plain,
% 5.37/5.65 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.65 | ~ 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)
% 5.37/5.65 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_219]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5277,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.65 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5276]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_206,plain,
% 5.37/5.65 ( 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)
% 5.37/5.65 | ~ c_lessequals(X0,X3,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2945_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5250,plain,
% 5.37/5.65 ( 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)
% 5.37/5.65 | ~ c_lessequals(X0,X3,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_206]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5251,plain,
% 5.37/5.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.65 | 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)
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5250]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_203,plain,
% 5.37/5.65 ( 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)
% 5.37/5.65 | ~ c_lessequals(X3,X0,tc_nat)
% 5.37/5.65 | 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 ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2944_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5244,plain,
% 5.37/5.65 ( 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)
% 5.37/5.65 | ~ c_lessequals(X3,X0,tc_nat)
% 5.37/5.65 | 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 ),
% 5.37/5.65 inference(copy,[status(esa)],[c_203]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5245,plain,
% 5.37/5.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.65 | 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
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5244]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_159,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ c_lessequals(X3,X0,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2923_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5156,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ c_lessequals(X3,X0,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_159]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5157,plain,
% 5.37/5.65 ( 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)
% 5.37/5.65 | ~ 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)
% 5.37/5.65 | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5156]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_156,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ c_lessequals(X3,X0,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2922_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5150,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ c_lessequals(X3,X0,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_156]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5151,plain,
% 5.37/5.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.65 | 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)
% 5.37/5.65 | ~ 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) ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5150]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_153,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ c_lessequals(X0,X3,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2921_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5144,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ c_lessequals(X0,X3,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_153]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5145,plain,
% 5.37/5.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.65 | ~ 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)
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5144]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_141,plain,
% 5.37/5.65 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.65 | ~ 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)
% 5.37/5.65 | 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2917_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5120,plain,
% 5.37/5.65 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.65 | ~ 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)
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_141]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5121,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | 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)
% 5.37/5.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5120]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_138,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ c_lessequals(X2,X1,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2916_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5114,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ c_lessequals(X2,X1,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_138]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5115,plain,
% 5.37/5.65 ( 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)
% 5.37/5.65 | ~ 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)
% 5.37/5.65 | ~ c_lessequals(X0,X3,tc_nat) ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5114]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_132,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2914_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5102,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_132]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5103,plain,
% 5.37/5.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.65 | ~ 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)
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5102]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_129,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ c_lessequals(X2,X1,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2913_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5096,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | ~ c_lessequals(X2,X1,tc_nat)
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_129]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5097,plain,
% 5.37/5.65 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.65 | 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)
% 5.37/5.65 | ~ 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) ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5096]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_120,plain,
% 5.37/5.65 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.65 | ~ 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)
% 5.37/5.65 | 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2910_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5078,plain,
% 5.37/5.65 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.65 | ~ 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)
% 5.37/5.65 | 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_120]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5079,plain,
% 5.37/5.65 ( ~ 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)
% 5.37/5.65 | 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)
% 5.37/5.65 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5078]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_84,plain,
% 5.37/5.65 ( X0 = X1
% 5.37/5.65 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 5.37/5.65 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2893_2) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5006,plain,
% 5.37/5.65 ( X0 = X1
% 5.37/5.65 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 5.37/5.65 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_84]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_5007,plain,
% 5.37/5.65 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.37/5.65 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 5.37/5.65 | X3 = X4 ),
% 5.37/5.65 inference(rewriting,[status(thm)],[c_5006]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2197,negated_conjecture,
% 5.37/5.65 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2633,negated_conjecture,
% 5.37/5.65 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2197]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2637,negated_conjecture,
% 5.37/5.65 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2633]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2638,negated_conjecture,
% 5.37/5.65 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2637]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2639,negated_conjecture,
% 5.37/5.65 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2638]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9132,negated_conjecture,
% 5.37/5.65 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2639]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2196,plain,
% 5.37/5.65 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_856_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9130,plain,
% 5.37/5.65 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2196]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2195,plain,
% 5.37/5.65 ( 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_857_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9128,plain,
% 5.37/5.65 ( 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2195]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2194,plain,
% 5.37/5.65 ( 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_858_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9126,plain,
% 5.37/5.65 ( 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2194]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2177,plain,
% 5.37/5.65 ( 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_840_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9108,plain,
% 5.37/5.65 ( 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2177]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2171,plain,
% 5.37/5.65 ( c_List_Oappend(c_List_Oreplicate(X0,X1,X2),c_List_Oreplicate(X3,X1,X2),X2) = c_List_Oappend(c_List_Oreplicate(X3,X1,X2),c_List_Oreplicate(X0,X1,X2),X2) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_846_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9101,plain,
% 5.37/5.65 ( c_List_Oappend(c_List_Oreplicate(X0,X1,X2),c_List_Oreplicate(X3,X1,X2),X2) = c_List_Oappend(c_List_Oreplicate(X3,X1,X2),c_List_Oreplicate(X0,X1,X2),X2) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2171]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2168,plain,
% 5.37/5.65 ( 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_849_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9097,plain,
% 5.37/5.65 ( 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2168]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2159,plain,
% 5.37/5.65 ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_861_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9087,plain,
% 5.37/5.65 ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2159]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2158,plain,
% 5.37/5.65 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_862_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9085,plain,
% 5.37/5.65 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2158]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2151,plain,
% 5.37/5.65 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_869_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9077,plain,
% 5.37/5.65 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2151]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2149,plain,
% 5.37/5.65 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_871_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9074,plain,
% 5.37/5.65 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2149]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2148,plain,
% 5.37/5.65 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_872_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9072,plain,
% 5.37/5.65 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2148]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2145,plain,
% 5.37/5.65 ( X0 != c_List_Olist_OCons(X1,X0,X2) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_875_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9068,plain,
% 5.37/5.65 ( X0 != c_List_Olist_OCons(X1,X0,X2) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2145]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2143,plain,
% 5.37/5.65 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_877_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9065,plain,
% 5.37/5.65 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2143]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2140,plain,
% 5.37/5.65 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_880_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9060,plain,
% 5.37/5.65 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2140]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2139,plain,
% 5.37/5.65 ( 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) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_881_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9058,plain,
% 5.37/5.65 ( 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) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2139]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2138,plain,
% 5.37/5.65 ( c_List_Olist_ONil(X0) != c_List_Olist_OCons(X1,X2,X0) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_882_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9056,plain,
% 5.37/5.65 ( c_List_Olist_ONil(X0) != c_List_Olist_OCons(X1,X2,X0) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2138]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2137,plain,
% 5.37/5.65 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_883_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9054,plain,
% 5.37/5.65 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2137]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2128,plain,
% 5.37/5.65 ( 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)) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_892_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9044,plain,
% 5.37/5.65 ( 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)) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2128]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2126,plain,
% 5.37/5.65 ( 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)) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_894_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9040,plain,
% 5.37/5.65 ( 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)) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2126]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2125,plain,
% 5.37/5.65 ( c_fequal(X0,X0,X1) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_895_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9038,plain,
% 5.37/5.65 ( c_fequal(X0,X0,X1) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2125]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2124,plain,
% 5.37/5.65 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_896_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9036,plain,
% 5.37/5.65 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2124]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2122,plain,
% 5.37/5.65 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_898_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9033,plain,
% 5.37/5.65 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2122]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2117,plain,
% 5.37/5.65 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_903_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9027,plain,
% 5.37/5.65 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2117]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2116,plain,
% 5.37/5.65 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_904_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9025,plain,
% 5.37/5.65 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2116]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2115,plain,
% 5.37/5.65 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_905_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9023,plain,
% 5.37/5.65 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2115]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2111,plain,
% 5.37/5.65 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_909_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9017,plain,
% 5.37/5.65 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2111]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2110,plain,
% 5.37/5.65 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_910_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9015,plain,
% 5.37/5.65 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2110]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2109,plain,
% 5.37/5.65 ( 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))) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_911_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9013,plain,
% 5.37/5.65 ( 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))) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2109]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2104,plain,
% 5.37/5.65 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_916_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9007,plain,
% 5.37/5.65 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2104]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2101,plain,
% 5.37/5.65 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_919_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9003,plain,
% 5.37/5.65 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2101]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2099,plain,
% 5.37/5.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_921_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_9000,plain,
% 5.37/5.65 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2099]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2092,plain,
% 5.37/5.65 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_928_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8991,plain,
% 5.37/5.65 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2092]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2091,plain,
% 5.37/5.65 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_929_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8989,plain,
% 5.37/5.65 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2091]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2090,plain,
% 5.37/5.65 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_930_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8987,plain,
% 5.37/5.65 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2090]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2089,plain,
% 5.37/5.65 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_931_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8985,plain,
% 5.37/5.65 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2089]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2079,plain,
% 5.37/5.65 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_941_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8974,plain,
% 5.37/5.65 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2079]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2076,plain,
% 5.37/5.65 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_944_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8969,plain,
% 5.37/5.65 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2076]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2072,plain,
% 5.37/5.65 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_948_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8963,plain,
% 5.37/5.65 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2072]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2064,plain,
% 5.37/5.65 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_956_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8953,plain,
% 5.37/5.65 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2064]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2061,plain,
% 5.37/5.65 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_959_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8949,plain,
% 5.37/5.65 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2061]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2059,plain,
% 5.37/5.65 ( c_lessequals(X0,X0,tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_961_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8945,plain,
% 5.37/5.65 ( c_lessequals(X0,X0,tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2059]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2058,plain,
% 5.37/5.65 ( X0 != c_Suc(X0) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_962_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8943,plain,
% 5.37/5.65 ( X0 != c_Suc(X0) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2058]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2057,plain,
% 5.37/5.65 ( c_Suc(X0) != X0 ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_963_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8941,plain,
% 5.37/5.65 ( c_Suc(X0) != X0 ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2057]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2056,plain,
% 5.37/5.65 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_964_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8939,plain,
% 5.37/5.65 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2056]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2054,plain,
% 5.37/5.65 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_966_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8935,plain,
% 5.37/5.65 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2054]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2053,plain,
% 5.37/5.65 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_967_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8933,plain,
% 5.37/5.65 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2053]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2051,plain,
% 5.37/5.65 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_969_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8930,plain,
% 5.37/5.65 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2051]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2049,plain,
% 5.37/5.65 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_971_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8926,plain,
% 5.37/5.65 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2049]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2047,plain,
% 5.37/5.65 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_973_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8922,plain,
% 5.37/5.65 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2047]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2046,plain,
% 5.37/5.65 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_974_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8920,plain,
% 5.37/5.65 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2046]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2045,plain,
% 5.37/5.65 ( class_Power_Opower(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_975_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8918,plain,
% 5.37/5.65 ( class_Power_Opower(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2045]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2044,plain,
% 5.37/5.65 ( class_Orderings_Obot(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_976_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8916,plain,
% 5.37/5.65 ( class_Orderings_Obot(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2044]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2043,plain,
% 5.37/5.65 ( class_Orderings_Oorder(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_977_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8914,plain,
% 5.37/5.65 ( class_Orderings_Oorder(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2043]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2042,plain,
% 5.37/5.65 ( class_Orderings_Olinorder(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_978_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8912,plain,
% 5.37/5.65 ( class_Orderings_Olinorder(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2042]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2041,plain,
% 5.37/5.65 ( class_Orderings_Opreorder(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_979_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8910,plain,
% 5.37/5.65 ( class_Orderings_Opreorder(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2041]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2040,plain,
% 5.37/5.65 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_980_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8908,plain,
% 5.37/5.65 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2040]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2039,plain,
% 5.37/5.65 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_981_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8906,plain,
% 5.37/5.65 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2039]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2038,plain,
% 5.37/5.65 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_982_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8904,plain,
% 5.37/5.65 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2038]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2037,plain,
% 5.37/5.65 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_983_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8902,plain,
% 5.37/5.65 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2037]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2036,plain,
% 5.37/5.65 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_984_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8900,plain,
% 5.37/5.65 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2036]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2035,plain,
% 5.37/5.65 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_985_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8898,plain,
% 5.37/5.65 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2035]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2034,plain,
% 5.37/5.65 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_986_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8896,plain,
% 5.37/5.65 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2034]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2033,plain,
% 5.37/5.65 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_987_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8894,plain,
% 5.37/5.65 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2033]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2032,plain,
% 5.37/5.65 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_988_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8892,plain,
% 5.37/5.65 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2032]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2031,plain,
% 5.37/5.65 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_989_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8890,plain,
% 5.37/5.65 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2031]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2030,plain,
% 5.37/5.65 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_990_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8888,plain,
% 5.37/5.65 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2030]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2029,plain,
% 5.37/5.65 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_991_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8886,plain,
% 5.37/5.65 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2029]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2028,plain,
% 5.37/5.65 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_992_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8884,plain,
% 5.37/5.65 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2028]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2027,plain,
% 5.37/5.65 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_993_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8882,plain,
% 5.37/5.65 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2027]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2026,plain,
% 5.37/5.65 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_994_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8880,plain,
% 5.37/5.65 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2026]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2025,plain,
% 5.37/5.65 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_995_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8878,plain,
% 5.37/5.65 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2025]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2024,plain,
% 5.37/5.65 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_996_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8876,plain,
% 5.37/5.65 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2024]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2023,plain,
% 5.37/5.65 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_997_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8874,plain,
% 5.37/5.65 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2023]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2022,plain,
% 5.37/5.65 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_998_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8872,plain,
% 5.37/5.65 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2022]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2021,plain,
% 5.37/5.65 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_999_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8870,plain,
% 5.37/5.65 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2021]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2020,plain,
% 5.37/5.65 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1000_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8868,plain,
% 5.37/5.65 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2020]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2019,plain,
% 5.37/5.65 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1001_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8866,plain,
% 5.37/5.65 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2019]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2018,plain,
% 5.37/5.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1002_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8864,plain,
% 5.37/5.65 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2018]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2017,plain,
% 5.37/5.65 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1003_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8862,plain,
% 5.37/5.65 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2017]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2016,plain,
% 5.37/5.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1004_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8860,plain,
% 5.37/5.65 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2016]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2015,plain,
% 5.37/5.65 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1005_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8858,plain,
% 5.37/5.65 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2015]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2014,plain,
% 5.37/5.65 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1006_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8856,plain,
% 5.37/5.65 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2014]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2013,plain,
% 5.37/5.65 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1007_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8854,plain,
% 5.37/5.65 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2013]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2012,plain,
% 5.37/5.65 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1008_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8852,plain,
% 5.37/5.65 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2012]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2011,plain,
% 5.37/5.65 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1009_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8850,plain,
% 5.37/5.65 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2011]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2010,plain,
% 5.37/5.65 ( c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1010_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8848,plain,
% 5.37/5.65 ( c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2010]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2008,plain,
% 5.37/5.65 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1012_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8845,plain,
% 5.37/5.65 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2008]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2006,plain,
% 5.37/5.65 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1014_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8841,plain,
% 5.37/5.65 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2006]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2005,plain,
% 5.37/5.65 ( c_InductTermi_OIT(v_u____) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1015_0) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_8839,plain,
% 5.37/5.65 ( c_InductTermi_OIT(v_u____) ),
% 5.37/5.65 inference(copy,[status(esa)],[c_2005]) ).
% 5.37/5.65
% 5.37/5.65 cnf(c_2003,plain,
% 5.37/5.65 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 5.37/5.65 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1017_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8835,plain,
% 5.37/5.66 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_2003]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1998,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1022_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8829,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1998]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1997,plain,
% 5.37/5.66 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1023_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8827,plain,
% 5.37/5.66 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1997]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1993,plain,
% 5.37/5.66 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_1027_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8822,plain,
% 5.37/5.66 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1993]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1989,plain,
% 5.37/5.66 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3564_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8816,plain,
% 5.37/5.66 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1989]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1987,plain,
% 5.37/5.66 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3563_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8812,plain,
% 5.37/5.66 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1987]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1983,plain,
% 5.37/5.66 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3561_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8804,plain,
% 5.37/5.66 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1983]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1981,plain,
% 5.37/5.66 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) | X0 = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3560_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8800,plain,
% 5.37/5.66 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) | X0 = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1981]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1979,plain,
% 5.37/5.66 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3559_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8796,plain,
% 5.37/5.66 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1979]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8797,plain,
% 5.37/5.66 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8796]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1977,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.37/5.66 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3558_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8792,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.37/5.66 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1977]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1975,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.66 | c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3557_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8788,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.66 | c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1975]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1973,plain,
% 5.37/5.66 ( ~ class_Orderings_Obot(X0) | class_Orderings_Obot(tc_fun(X1,X0)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3556_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8784,plain,
% 5.37/5.66 ( ~ class_Orderings_Obot(X0) | class_Orderings_Obot(tc_fun(X1,X0)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1973]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8785,plain,
% 5.37/5.66 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8784]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1971,plain,
% 5.37/5.66 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oorder(tc_fun(X1,X0)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3555_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8780,plain,
% 5.37/5.66 ( ~ class_Orderings_Oorder(X0) | class_Orderings_Oorder(tc_fun(X1,X0)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1971]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8781,plain,
% 5.37/5.66 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8780]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1969,plain,
% 5.37/5.66 ( ~ class_Orderings_Opreorder(X0)
% 5.37/5.66 | class_Orderings_Opreorder(tc_fun(X1,X0)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3554_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8776,plain,
% 5.37/5.66 ( ~ class_Orderings_Opreorder(X0)
% 5.37/5.66 | class_Orderings_Opreorder(tc_fun(X1,X0)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1969]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8777,plain,
% 5.37/5.66 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 5.37/5.66 | ~ class_Orderings_Opreorder(X1) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8776]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1967,plain,
% 5.37/5.66 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3553_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8772,plain,
% 5.37/5.66 ( ~ c_InductTermi_OIT(X0) | c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1967]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8773,plain,
% 5.37/5.66 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8772]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1965,plain,
% 5.37/5.66 ( ~ c_Lambda_Obeta(X0,X1)
% 5.37/5.66 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3552_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8768,plain,
% 5.37/5.66 ( ~ c_Lambda_Obeta(X0,X1)
% 5.37/5.66 | c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1965]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8769,plain,
% 5.37/5.66 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 5.37/5.66 | ~ c_Lambda_Obeta(X0,X1) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8768]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1962,plain,
% 5.37/5.66 ( ~ class_Nat_Osemiring__char__0(X0)
% 5.37/5.66 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 5.37/5.66 | X1 = X2 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3551_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8762,plain,
% 5.37/5.66 ( ~ class_Nat_Osemiring__char__0(X0)
% 5.37/5.66 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 5.37/5.66 | X1 = X2 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1962]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1960,plain,
% 5.37/5.66 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3550_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8758,plain,
% 5.37/5.66 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1960]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1958,plain,
% 5.37/5.66 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3549_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8754,plain,
% 5.37/5.66 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1958]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8755,plain,
% 5.37/5.66 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8754]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1956,plain,
% 5.37/5.66 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3548_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8750,plain,
% 5.37/5.66 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1956]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8751,plain,
% 5.37/5.66 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8750]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1954,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3547_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8746,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1954]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1952,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3546_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8742,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1952]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1950,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3545_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8738,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1950]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1948,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3544_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8734,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1948]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1944,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3542_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8726,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1944]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1942,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3541_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8722,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1942]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1940,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3540_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8718,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1940]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1938,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3539_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8714,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1938]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1936,plain,
% 5.37/5.66 ( ~ class_Orderings_Obot(X0)
% 5.37/5.66 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3538_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8710,plain,
% 5.37/5.66 ( ~ class_Orderings_Obot(X0)
% 5.37/5.66 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1936]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8711,plain,
% 5.37/5.66 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 5.37/5.66 | ~ class_Orderings_Obot(X0) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8710]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1934,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3537_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8706,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1934]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1930,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3535_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8698,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1930]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1928,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3534_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8694,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1928]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1926,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3533_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8690,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1926]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1924,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3532_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8686,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1924]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1922,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3531_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8682,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1922]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1920,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3530_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8678,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1920]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1916,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3528_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8670,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1916]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1914,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3527_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8666,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1914]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1912,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3526_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8662,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1912]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1902,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3522_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8642,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1902]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1900,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3521_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8638,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1900]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1898,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3520_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8634,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1898]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1896,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.37/5.66 | 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) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3519_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8630,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.37/5.66 | 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) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1896]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1887,plain,
% 5.37/5.66 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3516_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8612,plain,
% 5.37/5.66 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1887]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1885,plain,
% 5.37/5.66 ( ~ c_Lambda_Obeta(X0,X1)
% 5.37/5.66 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3515_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8608,plain,
% 5.37/5.66 ( ~ c_Lambda_Obeta(X0,X1)
% 5.37/5.66 | c_Lambda_Obeta(c_Lambda_Olift(X0,X2),c_Lambda_Olift(X1,X2)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1885]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8609,plain,
% 5.37/5.66 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 5.37/5.66 | ~ c_Lambda_Obeta(X0,X2) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8608]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1880,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3513_1) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8598,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1880]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1879,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3513_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8596,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1879]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1877,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3512_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8592,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1877]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1873,plain,
% 5.37/5.66 ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3510_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8584,plain,
% 5.37/5.66 ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1873]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1869,plain,
% 5.37/5.66 ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3508_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8576,plain,
% 5.37/5.66 ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1869]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1867,plain,
% 5.37/5.66 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3507_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8572,plain,
% 5.37/5.66 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1867]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8573,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8572]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1865,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3506_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8568,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1865]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8569,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8568]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1863,plain,
% 5.37/5.66 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3505_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8564,plain,
% 5.37/5.66 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1863]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8565,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8564]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1859,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.66 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3503_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8556,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.66 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1859]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8557,plain,
% 5.37/5.66 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 5.37/5.66 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8556]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1857,plain,
% 5.37/5.66 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3502_1) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8552,plain,
% 5.37/5.66 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1857]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1856,plain,
% 5.37/5.66 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3502_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8550,plain,
% 5.37/5.66 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1856]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1854,plain,
% 5.37/5.66 ( ~ c_InductTermi_OIT(X0)
% 5.37/5.66 | c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3501_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8546,plain,
% 5.37/5.66 ( ~ c_InductTermi_OIT(X0)
% 5.37/5.66 | c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1))) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1854]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8547,plain,
% 5.37/5.66 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 5.37/5.66 | ~ c_InductTermi_OIT(X0) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8546]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1850,plain,
% 5.37/5.66 ( c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3499_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8538,plain,
% 5.37/5.66 ( c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1850]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1841,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3496_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8520,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1841]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8521,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8520]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1838,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3495_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8514,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1838]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1826,plain,
% 5.37/5.66 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 5.37/5.66 | X1 = c_List_Olist_ONil(X2) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3491_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8490,plain,
% 5.37/5.66 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 5.37/5.66 | X1 = c_List_Olist_ONil(X2) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1826]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1824,plain,
% 5.37/5.66 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 5.37/5.66 | X0 = c_List_Olist_ONil(X2) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3490_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8486,plain,
% 5.37/5.66 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 5.37/5.66 | X0 = c_List_Olist_ONil(X2) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1824]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1822,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3489_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8482,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1822]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1817,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3487_1) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8472,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1817]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1816,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3487_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8470,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1816]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1813,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3486_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8464,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1813]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1810,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = X2 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3485_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8458,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = X2 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1810]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1807,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = X2 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3484_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8452,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = X2 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1807]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1805,plain,
% 5.37/5.66 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3483_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8448,plain,
% 5.37/5.66 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1805]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1803,plain,
% 5.37/5.66 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3482_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8444,plain,
% 5.37/5.66 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 5.37/5.66 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1803]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1796,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 5.37/5.66 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3480_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8430,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 5.37/5.66 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1796]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1794,plain,
% 5.37/5.66 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3479_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8426,plain,
% 5.37/5.66 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1794]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1792,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3478_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8422,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 5.37/5.66 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1792]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1790,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3477_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8418,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1790]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1780,plain,
% 5.37/5.66 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.37/5.66 | X1 = X0 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3474_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8398,plain,
% 5.37/5.66 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 5.37/5.66 | X1 = X0 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1780]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1777,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3473_1) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8392,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1777]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1776,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3473_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8390,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1776]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1769,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3471_1) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8376,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1769]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1768,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3471_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8374,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 5.37/5.66 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1768]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1766,plain,
% 5.37/5.66 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3470_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8370,plain,
% 5.37/5.66 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1766]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1762,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3468_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8362,plain,
% 5.37/5.66 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1762]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1760,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3467_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8358,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.66 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1760]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1758,plain,
% 5.37/5.66 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3466_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8354,plain,
% 5.37/5.66 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1758]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1754,plain,
% 5.37/5.66 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3464_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8346,plain,
% 5.37/5.66 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1754]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1752,plain,
% 5.37/5.66 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 5.37/5.66 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3463_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8342,plain,
% 5.37/5.66 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 5.37/5.66 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1752]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1750,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3462_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8338,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1750]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1748,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3461_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8334,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1748]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1744,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3459_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8326,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.66 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1744]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1741,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_lessequals(X1,X2,X0)
% 5.37/5.66 | c_lessequals(X2,X1,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3458_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8320,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_lessequals(X1,X2,X0)
% 5.37/5.66 | c_lessequals(X2,X1,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1741]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8321,plain,
% 5.37/5.66 ( c_lessequals(X0,X1,X2)
% 5.37/5.66 | c_lessequals(X1,X0,X2)
% 5.37/5.66 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8320]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1732,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 5.37/5.66 | c_lessequals(X1,X1,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3455_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8302,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X1,X1,X0)
% 5.37/5.66 | c_lessequals(X1,X1,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1732]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8303,plain,
% 5.37/5.66 ( c_lessequals(X0,X0,X1)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 5.37/5.66 | ~ class_Orderings_Olinorder(X1) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8302]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1729,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.66 | c_lessequals(X2,X1,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3454_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8296,plain,
% 5.37/5.66 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.66 | c_lessequals(X2,X1,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1729]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8297,plain,
% 5.37/5.66 ( c_lessequals(X0,X1,X2)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.37/5.66 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8296]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1727,plain,
% 5.37/5.66 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 5.37/5.66 | X1 = X3 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3453_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8292,plain,
% 5.37/5.66 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 5.37/5.66 | X1 = X3 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1727]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1725,plain,
% 5.37/5.66 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 5.37/5.66 | X0 = X2 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3452_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8288,plain,
% 5.37/5.66 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 5.37/5.66 | X0 = X2 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1725]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1723,plain,
% 5.37/5.66 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 5.37/5.66 | X0 = X2 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3451_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8284,plain,
% 5.37/5.66 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 5.37/5.66 | X0 = X2 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1723]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1721,plain,
% 5.37/5.66 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 5.37/5.66 | X1 = X3 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3450_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8280,plain,
% 5.37/5.66 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 5.37/5.66 | X1 = X3 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1721]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1696,plain,
% 5.37/5.66 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.37/5.66 | hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,X3)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3443_1) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8230,plain,
% 5.37/5.66 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.37/5.66 | hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,X3)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1696]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8231,plain,
% 5.37/5.66 ( hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,X2))
% 5.37/5.66 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8230]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1693,plain,
% 5.37/5.66 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.37/5.66 | hBOOL(hAPP(X0,X2))
% 5.37/5.66 | hBOOL(hAPP(X0,X3)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3442_1) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8224,plain,
% 5.37/5.66 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 5.37/5.66 | hBOOL(hAPP(X0,X2))
% 5.37/5.66 | hBOOL(hAPP(X0,X3)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1693]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8225,plain,
% 5.37/5.66 ( hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,X2))
% 5.37/5.66 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8224]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1678,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0))) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3439_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8194,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0))) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1678]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8195,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8194]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1675,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0))) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3438_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8188,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0))) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1675]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8189,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8188]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1672,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0))) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3437_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8182,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0))) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1672]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8183,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8182]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1669,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0))) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3436_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8176,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0))) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1669]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8177,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8176]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1666,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3435_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8170,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1))
% 5.37/5.66 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1666]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8171,plain,
% 5.37/5.66 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.66 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 5.37/5.66 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8170]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1664,plain,
% 5.37/5.66 ( ~ c_InductTermi_OIT(X0)
% 5.37/5.66 | c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2)) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3434_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8166,plain,
% 5.37/5.66 ( ~ c_InductTermi_OIT(X0)
% 5.37/5.66 | c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2)) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1664]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8167,plain,
% 5.37/5.66 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 5.37/5.66 | ~ c_InductTermi_OIT(X0) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8166]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1660,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3432_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8158,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1660]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8159,plain,
% 5.37/5.66 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8158]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1651,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | X0 = X1 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3429_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8140,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | X0 = X1 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1651]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1649,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3428_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8136,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1649]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1647,plain,
% 5.37/5.66 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3427_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8132,plain,
% 5.37/5.66 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.66 | c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1647]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8133,plain,
% 5.37/5.66 ( c_lessequals(X0,X1,tc_nat)
% 5.37/5.66 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8132]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1645,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3426_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8128,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1645]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8129,plain,
% 5.37/5.66 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.37/5.66 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8128]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1643,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3425_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8124,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,X1,tc_nat) | c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1643]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8125,plain,
% 5.37/5.66 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8124]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1639,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3423_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8116,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1639]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8117,plain,
% 5.37/5.66 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 5.37/5.66 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8116]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1637,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,X0,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3422_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8112,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,X0,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1637]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1635,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3421_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8108,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1635]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1633,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.66 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3420_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8104,plain,
% 5.37/5.66 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.66 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1633]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8105,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.37/5.66 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8104]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1631,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3419_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8100,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1631]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1629,plain,
% 5.37/5.66 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3418_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8096,plain,
% 5.37/5.66 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1629]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1625,plain,
% 5.37/5.66 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3416_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8088,plain,
% 5.37/5.66 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1625]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1623,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.37/5.66 | c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3415_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8084,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.37/5.66 | c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1623]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8085,plain,
% 5.37/5.66 ( c_lessequals(X0,X1,tc_nat)
% 5.37/5.66 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8084]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1619,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 5.37/5.66 | X0 = X2 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3413_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8076,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 5.37/5.66 | X0 = X2 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1619]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1617,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 5.37/5.66 | X1 = X2 ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3412_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8072,plain,
% 5.37/5.66 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 5.37/5.66 | X1 = X2 ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1617]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1614,plain,
% 5.37/5.66 ( ~ class_Orderings_Opreorder(X0)
% 5.37/5.66 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.66 | c_lessequals(X1,X2,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3411_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8066,plain,
% 5.37/5.66 ( ~ class_Orderings_Opreorder(X0)
% 5.37/5.66 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.66 | c_lessequals(X1,X2,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1614]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8067,plain,
% 5.37/5.66 ( c_lessequals(X0,X1,X2)
% 5.37/5.66 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.37/5.66 | ~ class_Orderings_Opreorder(X2) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8066]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1611,plain,
% 5.37/5.66 ( ~ class_Orderings_Oorder(X0)
% 5.37/5.66 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.66 | c_lessequals(X1,X2,X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3410_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8060,plain,
% 5.37/5.66 ( ~ class_Orderings_Oorder(X0)
% 5.37/5.66 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.66 | c_lessequals(X1,X2,X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1611]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8061,plain,
% 5.37/5.66 ( c_lessequals(X0,X1,X2)
% 5.37/5.66 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.37/5.66 | ~ class_Orderings_Oorder(X2) ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8060]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1609,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3409_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8056,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1609]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1600,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.37/5.66 | X1 = X0
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3406_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8038,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.37/5.66 | X1 = X0
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1600]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8039,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | X1 = X0 ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8038]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1597,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.37/5.66 | X0 = X1
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3405_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8032,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.37/5.66 | X0 = X1
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1597]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8033,plain,
% 5.37/5.66 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.37/5.66 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.66 | X0 = X1 ),
% 5.37/5.66 inference(rewriting,[status(thm)],[c_8032]) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_1583,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.66 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 5.37/5.66 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3400_0) ).
% 5.37/5.66
% 5.37/5.66 cnf(c_8004,plain,
% 5.37/5.66 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.66 | c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 5.37/5.66 inference(copy,[status(esa)],[c_1583]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_8005,plain,
% 5.37/5.67 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 5.37/5.67 | ~ c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_8004]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1579,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3398_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7996,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1579]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7997,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7996]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1535,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 5.37/5.67 | X0 = c_Suc(X1)
% 5.37/5.67 | c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3386_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7908,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 5.37/5.67 | X0 = c_Suc(X1)
% 5.37/5.67 | c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1535]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7909,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 5.37/5.67 | c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | X0 = c_Suc(X1) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7908]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1530,plain,
% 5.37/5.67 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 5.37/5.67 | c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3384_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7898,plain,
% 5.37/5.67 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 5.37/5.67 | c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1530]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1528,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3383_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7894,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1528]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1523,plain,
% 5.37/5.67 ( ~ c_Lambda_Obeta(X0,X1)
% 5.37/5.67 | c_Type_Otyping(X2,X1,X3)
% 5.37/5.67 | ~ c_Type_Otyping(X2,X0,X3) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3381_1) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7884,plain,
% 5.37/5.67 ( ~ c_Lambda_Obeta(X0,X1)
% 5.37/5.67 | c_Type_Otyping(X2,X1,X3)
% 5.37/5.67 | ~ c_Type_Otyping(X2,X0,X3) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1523]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7885,plain,
% 5.37/5.67 ( c_Type_Otyping(X0,X1,X2)
% 5.37/5.67 | ~ c_Type_Otyping(X0,X3,X2)
% 5.37/5.67 | ~ c_Lambda_Obeta(X3,X1) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7884]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1520,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.37/5.67 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3380_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7878,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.37/5.67 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1520]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1517,plain,
% 5.37/5.67 ( ~ hBOOL(hAPP(X0,X1))
% 5.37/5.67 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 5.37/5.67 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3379_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7872,plain,
% 5.37/5.67 ( ~ hBOOL(hAPP(X0,X1))
% 5.37/5.67 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 5.37/5.67 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1517]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7873,plain,
% 5.37/5.67 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 5.37/5.67 | ~ hBOOL(hAPP(X0,X1)) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7872]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1515,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3378_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7868,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1515]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7869,plain,
% 5.37/5.67 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7868]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1513,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3377_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7864,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1513]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7865,plain,
% 5.37/5.67 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7864]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1511,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3376_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7860,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1511]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7861,plain,
% 5.37/5.67 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7860]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1509,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3375_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7856,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1509]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7857,plain,
% 5.37/5.67 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7856]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1507,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3374_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7852,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1507]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1505,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3373_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7848,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1505]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1502,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3372_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7842,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1502]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1496,plain,
% 5.37/5.67 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 5.37/5.67 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.67 | X1 = X2 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3370_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7830,plain,
% 5.37/5.67 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 5.37/5.67 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.67 | X1 = X2 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1496]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1493,plain,
% 5.37/5.67 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 5.37/5.67 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.67 | X0 = X2 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3369_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7824,plain,
% 5.37/5.67 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 5.37/5.67 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.67 | X0 = X2 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1493]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1491,plain,
% 5.37/5.67 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 5.37/5.67 | X1 = X4 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3368_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7820,plain,
% 5.37/5.67 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 5.37/5.67 | X1 = X4 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1491]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1489,plain,
% 5.37/5.67 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 5.37/5.67 | X0 = X3 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3367_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7816,plain,
% 5.37/5.67 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 5.37/5.67 | X0 = X3 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1489]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1486,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 5.37/5.67 | X1 = X3 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3366_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7810,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 5.37/5.67 | X1 = X3 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1486]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1483,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.37/5.67 | X2 = X3 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3365_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7804,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.37/5.67 | X2 = X3 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1483]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1480,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.37/5.67 | X2 = X3 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3364_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7798,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 5.37/5.67 | X2 = X3 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1480]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1478,plain,
% 5.37/5.67 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3363_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7794,plain,
% 5.37/5.67 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1478]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1476,plain,
% 5.37/5.67 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3362_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7790,plain,
% 5.37/5.67 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1476]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1474,plain,
% 5.37/5.67 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3361_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7786,plain,
% 5.37/5.67 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1474]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1472,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.67 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3360_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7782,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.67 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1472]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7783,plain,
% 5.37/5.67 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 5.37/5.67 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7782]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1469,plain,
% 5.37/5.67 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.67 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.67 | X1 = X0 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3359_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7776,plain,
% 5.37/5.67 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.67 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.67 | X1 = X0 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1469]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1467,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3358_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7772,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1467]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7773,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7772]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1465,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3357_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7768,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1465]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7769,plain,
% 5.37/5.67 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7768]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1462,plain,
% 5.37/5.67 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 5.37/5.67 | X1 = X4
% 5.37/5.67 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3356_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7762,plain,
% 5.37/5.67 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 5.37/5.67 | X1 = X4
% 5.37/5.67 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1462]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7763,plain,
% 5.37/5.67 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 5.37/5.67 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.67 | X1 = X4 ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7762]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1453,plain,
% 5.37/5.67 ( ~ class_Orderings_Opreorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3353_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7744,plain,
% 5.37/5.67 ( ~ class_Orderings_Opreorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1453]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7745,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.37/5.67 | ~ class_Orderings_Opreorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7744]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1450,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3352_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7738,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1450]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7739,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7738]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1447,plain,
% 5.37/5.67 ( ~ class_Orderings_Oorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3351_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7732,plain,
% 5.37/5.67 ( ~ class_Orderings_Oorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1447]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7733,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.37/5.67 | ~ class_Orderings_Oorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7732]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1438,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | ~ c_lessequals(X2,X1,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3348_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7714,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | ~ c_lessequals(X2,X1,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1438]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7715,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,X2)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7714]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1433,plain,
% 5.37/5.67 ( ~ c_Lambda_Obeta(X0,X1)
% 5.37/5.67 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3346_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7704,plain,
% 5.37/5.67 ( ~ c_Lambda_Obeta(X0,X1)
% 5.37/5.67 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2),hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2)) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1433]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7705,plain,
% 5.37/5.67 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 5.37/5.67 | ~ c_Lambda_Obeta(X0,X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7704]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1431,plain,
% 5.37/5.67 ( ~ c_Lambda_Obeta(X0,X1)
% 5.37/5.67 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3345_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7700,plain,
% 5.37/5.67 ( ~ c_Lambda_Obeta(X0,X1)
% 5.37/5.67 | c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1)) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1431]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7701,plain,
% 5.37/5.67 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 5.37/5.67 | ~ c_Lambda_Obeta(X1,X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7700]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1424,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.37/5.67 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 5.37/5.67 | X2 = X3 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3343_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7686,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.37/5.67 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 5.37/5.67 | X2 = X3 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1424]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1421,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.37/5.67 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 5.37/5.67 | X1 = X2 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3342_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7680,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.37/5.67 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 5.37/5.67 | X1 = X2 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1421]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1404,plain,
% 5.37/5.67 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 5.37/5.67 | X1 = X2 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3337_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7646,plain,
% 5.37/5.67 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 5.37/5.67 | X1 = X2 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1404]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1397,plain,
% 5.37/5.67 ( ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))))
% 5.37/5.67 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3335_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7632,plain,
% 5.37/5.67 ( ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))))
% 5.37/5.67 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1397]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1394,plain,
% 5.37/5.67 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 5.37/5.67 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3334_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7626,plain,
% 5.37/5.67 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 5.37/5.67 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1394]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1391,plain,
% 5.37/5.67 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 5.37/5.67 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3333_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7620,plain,
% 5.37/5.67 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 5.37/5.67 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1391]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1388,plain,
% 5.37/5.67 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 5.37/5.67 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3332_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7614,plain,
% 5.37/5.67 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 5.37/5.67 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1388]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1385,plain,
% 5.37/5.67 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 5.37/5.67 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3331_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7608,plain,
% 5.37/5.67 ( ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 5.37/5.67 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1385]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1382,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3330_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7602,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1382]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7603,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.37/5.67 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7602]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1379,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.67 | ~ c_lessequals(X1,X2,tc_nat)
% 5.37/5.67 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3329_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7596,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.67 | ~ c_lessequals(X1,X2,tc_nat)
% 5.37/5.67 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1379]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7597,plain,
% 5.37/5.67 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 5.37/5.67 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.67 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7596]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1376,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3328_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7590,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1376]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7591,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 5.37/5.67 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7590]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1370,plain,
% 5.37/5.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 5.37/5.67 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3326_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7578,plain,
% 5.37/5.67 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 5.37/5.67 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1370]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7579,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7578]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1368,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3325_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7574,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1368]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1365,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 5.37/5.67 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X1,X0))
% 5.37/5.67 | hBOOL(hAPP(X1,X2)) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3324_1) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7568,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 5.37/5.67 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X1,X0))
% 5.37/5.67 | hBOOL(hAPP(X1,X2)) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1365]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1364,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 5.37/5.67 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X1,X2))
% 5.37/5.67 | hBOOL(hAPP(X1,X0)) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3324_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7566,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 5.37/5.67 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.67 | hBOOL(hAPP(X1,X2))
% 5.37/5.67 | hBOOL(hAPP(X1,X0)) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1364]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1363,plain,
% 5.37/5.67 ( c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.67 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3323_2) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7564,plain,
% 5.37/5.67 ( c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.67 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1363]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1362,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | c_lessequals(X2,X1,tc_nat)
% 5.37/5.67 | ~ c_lessequals(X2,X0,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3323_1) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7562,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | c_lessequals(X2,X1,tc_nat)
% 5.37/5.67 | ~ c_lessequals(X2,X0,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1362]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1361,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | ~ c_lessequals(X2,X0,tc_nat)
% 5.37/5.67 | c_lessequals(X2,X1,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3323_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7560,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | ~ c_lessequals(X2,X0,tc_nat)
% 5.37/5.67 | c_lessequals(X2,X1,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1361]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1359,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.67 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3322_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7556,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.67 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1359]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1357,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3321_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7552,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1357]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1355,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 5.37/5.67 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3320_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7548,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 5.37/5.67 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1355]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1353,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3319_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7544,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1353]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1352,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3318_2) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7542,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1352]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1344,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3315_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7526,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1344]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7527,plain,
% 5.37/5.67 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.37/5.67 | ~ c_lessequals(X0,X1,tc_nat) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7526]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1342,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3314_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7522,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1342]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7523,plain,
% 5.37/5.67 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.37/5.67 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7522]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1336,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3311_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7510,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1336]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7511,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7510]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1334,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3310_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7506,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1334]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7507,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7506]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1326,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.67 | 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) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3307_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7490,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.67 | 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) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1326]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1320,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.67 | 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) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3304_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7478,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.67 | 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) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1320]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1318,plain,
% 5.37/5.67 ( ~ class_Power_Opower(X0)
% 5.37/5.67 | 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) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3303_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7474,plain,
% 5.37/5.67 ( ~ class_Power_Opower(X0)
% 5.37/5.67 | 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) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1318]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1316,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.37/5.67 | 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) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3302_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7470,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.37/5.67 | 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) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1316]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1314,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.37/5.67 | 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) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3301_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7466,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.37/5.67 | 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) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1314]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1304,plain,
% 5.37/5.67 ( ~ class_Orderings_Opreorder(X0)
% 5.37/5.67 | c_lessequals(X1,X2,X0)
% 5.37/5.67 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.67 | ~ c_lessequals(X3,X2,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3298_2) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7446,plain,
% 5.37/5.67 ( ~ class_Orderings_Opreorder(X0)
% 5.37/5.67 | c_lessequals(X1,X2,X0)
% 5.37/5.67 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.67 | ~ c_lessequals(X3,X2,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1304]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7447,plain,
% 5.37/5.67 ( c_lessequals(X0,X1,X2)
% 5.37/5.67 | ~ c_lessequals(X0,X3,X2)
% 5.37/5.67 | ~ c_lessequals(X3,X1,X2)
% 5.37/5.67 | ~ class_Orderings_Opreorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7446]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1292,plain,
% 5.37/5.67 ( ~ class_Orderings_Oorder(X0)
% 5.37/5.67 | c_lessequals(X1,X2,X0)
% 5.37/5.67 | ~ c_lessequals(X3,X2,X0)
% 5.37/5.67 | ~ c_lessequals(X1,X3,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3295_2) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7422,plain,
% 5.37/5.67 ( ~ class_Orderings_Oorder(X0)
% 5.37/5.67 | c_lessequals(X1,X2,X0)
% 5.37/5.67 | ~ c_lessequals(X3,X2,X0)
% 5.37/5.67 | ~ c_lessequals(X1,X3,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1292]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7423,plain,
% 5.37/5.67 ( c_lessequals(X0,X1,X2)
% 5.37/5.67 | ~ c_lessequals(X3,X1,X2)
% 5.37/5.67 | ~ c_lessequals(X0,X3,X2)
% 5.37/5.67 | ~ class_Orderings_Oorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7422]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1288,plain,
% 5.37/5.67 ( ~ class_Orderings_Oorder(X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3294_2) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7414,plain,
% 5.37/5.67 ( ~ class_Orderings_Oorder(X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1288]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7415,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.37/5.67 | ~ class_Orderings_Oorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7414]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1284,plain,
% 5.37/5.67 ( ~ class_Orderings_Opreorder(X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3293_2) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7406,plain,
% 5.37/5.67 ( ~ class_Orderings_Opreorder(X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1284]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7407,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.37/5.67 | ~ class_Orderings_Opreorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7406]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1280,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3292_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7398,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1280]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1278,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.67 | 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) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3291_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7394,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.67 | 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) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1278]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7395,plain,
% 5.37/5.67 ( 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)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7394]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1276,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.67 | 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) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3290_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7390,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.67 | 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) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1276]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7391,plain,
% 5.37/5.67 ( 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)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7390]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1274,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3289_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7386,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1274]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7387,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7386]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1272,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.37/5.67 | 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) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3288_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7382,plain,
% 5.37/5.67 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 5.37/5.67 | 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) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1272]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1270,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3287_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7378,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1270]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1268,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3286_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7374,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1268]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7375,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7374]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1266,plain,
% 5.37/5.67 ( ~ c_Lambda_Obeta(X0,X1)
% 5.37/5.67 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3285_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7370,plain,
% 5.37/5.67 ( ~ c_Lambda_Obeta(X0,X1)
% 5.37/5.67 | c_Lambda_Obeta(c_Lambda_Osubst(X0,X2,X3),c_Lambda_Osubst(X1,X2,X3)) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1266]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7371,plain,
% 5.37/5.67 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 5.37/5.67 | ~ c_Lambda_Obeta(X0,X3) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7370]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1264,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3284_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7366,plain,
% 5.37/5.67 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.67 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1264]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1249,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.67 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3279_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7336,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.67 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1249]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7337,plain,
% 5.37/5.67 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.37/5.67 | ~ c_lessequals(X0,X1,X3)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X3) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7336]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1246,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.67 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3278_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7330,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.67 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1246]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7331,plain,
% 5.37/5.67 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.37/5.67 | ~ c_lessequals(X0,X2,X3)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X3) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7330]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1243,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3277_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7324,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1243]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7325,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7324]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1240,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3276_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7318,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1240]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7319,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7318]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1231,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3273_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7300,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X3,X2,X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1231]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7301,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X3) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7300]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1228,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3272_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7294,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1228]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7295,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X3) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7294]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1219,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.67 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3269_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7276,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.67 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X3,X0),X2,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1219]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7277,plain,
% 5.37/5.67 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.37/5.67 | ~ c_lessequals(X0,X3,X2)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7276]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1216,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.67 | c_lessequals(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3268_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7270,plain,
% 5.37/5.67 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.67 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.67 | c_lessequals(c_Orderings_Oord__class_Omin(X3,X1,X0),X2,X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1216]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7271,plain,
% 5.37/5.67 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 5.37/5.67 | ~ c_lessequals(X1,X3,X2)
% 5.37/5.67 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7270]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1207,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3265_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7252,plain,
% 5.37/5.67 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1207]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1205,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3264_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7248,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.67 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1205]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1202,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3263_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7242,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1202]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7243,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 5.37/5.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7242]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1199,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.37/5.67 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.67 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3262_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7236,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.37/5.67 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.67 | c_lessequals(c_HOL_Ominus__class_Ominus(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1199]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7237,plain,
% 5.37/5.67 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.67 | ~ c_lessequals(X0,X1,X2)
% 5.37/5.67 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7236]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1196,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3261_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7230,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.67 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1196]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7231,plain,
% 5.37/5.67 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.37/5.67 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.67 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7230]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_1193,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.37/5.67 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.67 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.67 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3260_0) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7224,plain,
% 5.37/5.67 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.37/5.67 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.67 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.67 inference(copy,[status(esa)],[c_1193]) ).
% 5.37/5.67
% 5.37/5.67 cnf(c_7225,plain,
% 5.37/5.67 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.67 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.67 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.37/5.67 inference(rewriting,[status(thm)],[c_7224]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1190,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3259_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7218,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1190]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7219,plain,
% 5.37/5.68 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_7218]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1187,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3258_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7212,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1187]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7213,plain,
% 5.37/5.68 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_7212]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1184,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3257_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7206,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1184]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7207,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_7206]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1182,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3256_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7202,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1182]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7203,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 5.37/5.68 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_7202]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1179,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3255_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7196,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1179]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7197,plain,
% 5.37/5.68 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_7196]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1176,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3254_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7190,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1176]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7191,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_7190]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1174,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.37/5.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3253_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7186,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 5.37/5.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1174]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1172,plain,
% 5.37/5.68 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.68 | c_lessequals(X0,X2,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3252_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7182,plain,
% 5.37/5.68 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.68 | c_lessequals(X0,X2,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1172]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1170,plain,
% 5.37/5.68 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.68 | c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3251_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7178,plain,
% 5.37/5.68 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.68 | c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1170]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1168,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3250_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7174,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1168]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1166,plain,
% 5.37/5.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3249_1) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7170,plain,
% 5.37/5.68 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X0,X3,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1166]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7171,plain,
% 5.37/5.68 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 5.37/5.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_7170]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1149,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3245_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7136,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1149]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1147,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3244_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7132,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1147]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1145,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3243_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7128,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1145]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1139,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3241_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7116,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1139]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1137,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.68 | 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)) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3240_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7112,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.68 | 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)) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1137]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1135,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.37/5.68 | 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)) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3239_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7108,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.37/5.68 | 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)) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1135]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1133,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.37/5.68 | 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)) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3238_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7104,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.37/5.68 | 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)) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1133]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1095,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3225_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7028,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1095]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7029,plain,
% 5.37/5.68 ( 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)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_7028]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1093,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3224_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7024,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1093]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7025,plain,
% 5.37/5.68 ( 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)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_7024]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1091,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3223_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7020,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1091]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7021,plain,
% 5.37/5.68 ( 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)
% 5.37/5.68 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_7020]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1089,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3222_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7016,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1089]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7017,plain,
% 5.37/5.68 ( 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)
% 5.37/5.68 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_7016]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1087,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3221_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7012,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1087]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1085,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3220_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_7008,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1085]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1046,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3208_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6930,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1046]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1044,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3207_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6926,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1044]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1040,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3205_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6918,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1040]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1036,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3203_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6910,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1036]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1034,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3202_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6906,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1034]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1032,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3201_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6902,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1032]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1030,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3200_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6898,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1030]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1028,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3199_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6894,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1028]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1026,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3198_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6890,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1026]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1024,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3197_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6886,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1024]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1022,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3196_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6882,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1022]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1020,plain,
% 5.37/5.68 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.68 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3195_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6878,plain,
% 5.37/5.68 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.68 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1020]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1018,plain,
% 5.37/5.68 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.68 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3194_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6874,plain,
% 5.37/5.68 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.68 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1018]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1015,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3193_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6868,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1015]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1010,plain,
% 5.37/5.68 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3191_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6858,plain,
% 5.37/5.68 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1010]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_1004,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3189_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6846,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 5.37/5.68 inference(copy,[status(esa)],[c_1004]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_994,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.37/5.68 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.68 | ~ c_lessequals(X2,X3,X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3186_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6826,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.37/5.68 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.68 | ~ c_lessequals(X2,X3,X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_994]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6827,plain,
% 5.37/5.68 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.37/5.68 | ~ c_lessequals(X0,X3,X2)
% 5.37/5.68 | ~ c_lessequals(X1,X3,X2)
% 5.37/5.68 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6826]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_990,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3185_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6818,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_990]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6819,plain,
% 5.37/5.68 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 5.37/5.68 | ~ class_Orderings_Olinorder(X3) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6818]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_986,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3184_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6810,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_986]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6811,plain,
% 5.37/5.68 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.37/5.68 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6810]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_974,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.37/5.68 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.68 | ~ c_lessequals(X1,X3,X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3181_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6786,plain,
% 5.37/5.68 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.68 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 5.37/5.68 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.68 | ~ c_lessequals(X1,X3,X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_974]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6787,plain,
% 5.37/5.68 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 5.37/5.68 | ~ c_lessequals(X0,X1,X3)
% 5.37/5.68 | ~ c_lessequals(X0,X2,X3)
% 5.37/5.68 | ~ class_Orderings_Olinorder(X3) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6786]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_970,plain,
% 5.37/5.68 ( ~ 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)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3180_1) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6778,plain,
% 5.37/5.68 ( ~ 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)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_970]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_969,plain,
% 5.37/5.68 ( ~ 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)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3180_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6776,plain,
% 5.37/5.68 ( ~ 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)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_969]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_963,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3177_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6764,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_963]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6765,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 5.37/5.68 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6764]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_961,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3176_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6760,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_961]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6761,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 5.37/5.68 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6760]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_959,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3175_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6756,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_959]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6757,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.37/5.68 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6756]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_957,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3174_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6752,plain,
% 5.37/5.68 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.68 | c_lessequals(c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X0,tc_nat),tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_957]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6753,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 5.37/5.68 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6752]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_950,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3172_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6738,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_950]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6739,plain,
% 5.37/5.68 ( 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)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.68 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6738]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_947,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3171_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6732,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_947]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6733,plain,
% 5.37/5.68 ( 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)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.68 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6732]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_944,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3170_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6726,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_944]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6727,plain,
% 5.37/5.68 ( 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)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.68 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6726]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_941,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3169_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6720,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.68 | 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) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_941]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6721,plain,
% 5.37/5.68 ( 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)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.68 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6720]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_938,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.37/5.68 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.68 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3168_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6714,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.37/5.68 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.68 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_938]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6715,plain,
% 5.37/5.68 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.37/5.68 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.68 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6714]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_935,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.37/5.68 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.68 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3167_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6708,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.37/5.68 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.68 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_935]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6709,plain,
% 5.37/5.68 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.37/5.68 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.68 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6708]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_932,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.68 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.68 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3166_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6702,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.68 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.68 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_932]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6703,plain,
% 5.37/5.68 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 5.37/5.68 | ~ c_lessequals(X2,X3,X0)
% 5.37/5.68 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6702]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_929,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.68 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.68 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3165_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6696,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.68 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.68 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X3),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_929]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6697,plain,
% 5.37/5.68 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 5.37/5.68 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.68 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6696]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_907,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.37/5.68 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3160_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6652,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.37/5.68 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_907]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6653,plain,
% 5.37/5.68 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6652]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_895,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3157_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6628,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_895]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6629,plain,
% 5.37/5.68 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.68 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6628]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_883,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3154_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6604,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_883]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6605,plain,
% 5.37/5.68 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6604]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_879,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3153_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6596,plain,
% 5.37/5.68 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_879]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6597,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.68 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6596]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_874,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3152_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6586,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_874]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_871,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3151_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6580,plain,
% 5.37/5.68 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.37/5.68 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_871]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_869,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3150_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6576,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_869]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6577,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.68 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6576]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_861,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3148_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6560,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_861]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6561,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6560]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_857,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3147_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6552,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_857]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6553,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.68 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6552]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_853,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3146_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6544,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_853]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6545,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6544]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_849,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3145_2) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6536,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.37/5.68 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_849]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6537,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.68 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6536]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_839,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3143_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6516,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_839]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6517,plain,
% 5.37/5.68 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.68 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6516]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_835,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3142_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6508,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.68 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_835]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6509,plain,
% 5.37/5.68 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.68 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.68 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6508]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_819,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3138_0) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6476,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.68 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 inference(copy,[status(esa)],[c_819]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_6477,plain,
% 5.37/5.68 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.68 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.68 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 5.37/5.68 inference(rewriting,[status(thm)],[c_6476]) ).
% 5.37/5.68
% 5.37/5.68 cnf(c_815,plain,
% 5.37/5.68 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.37/5.68 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.68 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.68 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.68 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3137_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6468,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 5.37/5.69 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.69 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.69 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_815]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6469,plain,
% 5.37/5.69 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.69 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.69 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.69 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6468]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_807,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.69 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.69 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3135_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6452,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.69 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.69 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_807]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6453,plain,
% 5.37/5.69 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.69 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.69 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.69 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6452]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_805,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3134_2) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6448,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_805]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6449,plain,
% 5.37/5.69 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.69 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6448]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_801,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3133_2) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6440,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_801]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6441,plain,
% 5.37/5.69 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 5.37/5.69 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6440]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_797,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3132_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6432,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_797]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6433,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6432]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_795,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3131_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6428,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_795]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6429,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6428]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_793,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 5.37/5.69 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3130_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6424,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 5.37/5.69 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 5.37/5.69 inference(copy,[status(esa)],[c_793]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_776,plain,
% 5.37/5.69 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.69 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.37/5.69 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3125_2) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6390,plain,
% 5.37/5.69 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 5.37/5.69 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 5.37/5.69 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_776]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_773,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3124_2) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6384,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_773]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_767,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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)) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3122_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6372,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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)) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_767]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_765,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.69 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3121_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6368,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.69 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_765]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_763,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.37/5.69 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3120_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6364,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 5.37/5.69 | c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_763]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6365,plain,
% 5.37/5.69 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6364]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_761,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3119_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6360,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_761]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_758,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.37/5.69 | 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)
% 5.37/5.69 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3118_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6354,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 5.37/5.69 | 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)
% 5.37/5.69 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 5.37/5.69 inference(copy,[status(esa)],[c_758]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_756,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.37/5.69 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3117_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6350,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 5.37/5.69 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_756]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6351,plain,
% 5.37/5.69 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6350]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_754,plain,
% 5.37/5.69 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 5.37/5.69 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3116_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6346,plain,
% 5.37/5.69 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 5.37/5.69 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_754]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_716,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3106_2) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6270,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_716]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_713,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X1,X3,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3105_2) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6264,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X1,X3,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_713]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_708,plain,
% 5.37/5.69 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.37/5.69 | ~ c_Type_Otyping(X0,X3,hAPP(hAPP(c_Type_Otype_OFun,X2),X4))
% 5.37/5.69 | c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X4) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3104_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6254,plain,
% 5.37/5.69 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.37/5.69 | ~ c_Type_Otyping(X0,X3,hAPP(hAPP(c_Type_Otype_OFun,X2),X4))
% 5.37/5.69 | c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X4) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_708]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6255,plain,
% 5.37/5.69 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 5.37/5.69 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 5.37/5.69 | ~ c_Type_Otyping(X0,X2,X4) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6254]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_702,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 5.37/5.69 | 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)) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3101_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6242,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 5.37/5.69 | 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)) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_702]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_700,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.37/5.69 | 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)) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3100_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6238,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 5.37/5.69 | 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)) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_700]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_698,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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)) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3099_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6234,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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)) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_698]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_696,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3098_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6230,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_696]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_694,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3097_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6226,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_694]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_692,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3096_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6222,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_692]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_690,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3095_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6218,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_690]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_688,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat),tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3094_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6214,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | c_lessequals(X2,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X0,tc_nat),tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_688]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6215,plain,
% 5.37/5.69 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 5.37/5.69 | ~ c_lessequals(X2,X1,tc_nat) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6214]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_679,plain,
% 5.37/5.69 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 5.37/5.69 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X1,X3,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3091_2) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6196,plain,
% 5.37/5.69 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 5.37/5.69 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X1,X3,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_679]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_674,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3090_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6186,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_674]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6187,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6186]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_673,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3089_2) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6184,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_673]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_659,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3085_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6156,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_659]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6157,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6156]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_656,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3084_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6150,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_656]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6151,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6150]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_651,plain,
% 5.37/5.69 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3082_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6140,plain,
% 5.37/5.69 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_651]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_649,plain,
% 5.37/5.69 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3081_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6136,plain,
% 5.37/5.69 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_649]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_647,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3080_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6132,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_647]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_645,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3079_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6128,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_645]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_643,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3078_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6124,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_643]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_641,plain,
% 5.37/5.69 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3077_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6120,plain,
% 5.37/5.69 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_641]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_639,plain,
% 5.37/5.69 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3076_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6116,plain,
% 5.37/5.69 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_639]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_637,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3075_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6112,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_637]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_627,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.37/5.69 | 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3072_2) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6092,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 5.37/5.69 | 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_627]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6093,plain,
% 5.37/5.69 ( 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 5.37/5.69 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6092]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_623,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.37/5.69 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 5.37/5.69 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.69 | ~ c_lessequals(X2,X4,X0) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3071_2) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6084,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 5.37/5.69 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 5.37/5.69 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.69 | ~ c_lessequals(X2,X4,X0) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_623]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6085,plain,
% 5.37/5.69 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 5.37/5.69 | ~ c_lessequals(X1,X3,X0)
% 5.37/5.69 | ~ c_lessequals(X2,X4,X0)
% 5.37/5.69 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6084]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_619,plain,
% 5.37/5.69 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 5.37/5.69 | hAPP(hAPP(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 ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3070_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6076,plain,
% 5.37/5.69 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 5.37/5.69 | hAPP(hAPP(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 ),
% 5.37/5.69 inference(copy,[status(esa)],[c_619]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_617,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3069_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6072,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_617]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_597,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3064_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6032,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_597]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6033,plain,
% 5.37/5.69 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 5.37/5.69 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6032]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_605,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3066_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6048,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_605]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_6049,plain,
% 5.37/5.69 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 5.37/5.69 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_6048]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_577,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3059_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5992,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_577]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5993,plain,
% 5.37/5.69 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 5.37/5.69 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_5992]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_573,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3058_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5984,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X0),X0)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_573]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5985,plain,
% 5.37/5.69 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 5.37/5.69 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_5984]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_533,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3048_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5904,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_533]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_531,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3047_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5900,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_531]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_529,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3046_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5896,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_529]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_527,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3045_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5892,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_527]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_524,plain,
% 5.37/5.69 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X1,X2,tc_nat)
% 5.37/5.69 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3044_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5886,plain,
% 5.37/5.69 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X1,X2,tc_nat)
% 5.37/5.69 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_524]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5887,plain,
% 5.37/5.69 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 5.37/5.69 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.37/5.69 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_5886]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_506,plain,
% 5.37/5.69 ( 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))
% 5.37/5.69 | X2 = X3
% 5.37/5.69 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3038_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5850,plain,
% 5.37/5.69 ( 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))
% 5.37/5.69 | X2 = X3
% 5.37/5.69 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_506]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5851,plain,
% 5.37/5.69 ( 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))
% 5.37/5.69 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 5.37/5.69 | X2 = X3 ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_5850]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_502,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3036_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5842,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_502]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_499,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3035_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5836,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X0,X2,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_499]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_496,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.69 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)))
% 5.37/5.69 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3034_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5830,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.69 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)))
% 5.37/5.69 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_496]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5831,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.69 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat)))
% 5.37/5.69 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_5830]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_493,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.37/5.69 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.69 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 5.37/5.69 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3033_1) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5824,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 5.37/5.69 | ~ c_lessequals(X1,X2,X0)
% 5.37/5.69 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 5.37/5.69 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_493]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5825,plain,
% 5.37/5.69 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 5.37/5.69 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 5.37/5.69 | ~ c_lessequals(X4,X3,X1)
% 5.37/5.69 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 5.37/5.69 inference(rewriting,[status(thm)],[c_5824]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_490,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3032_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5818,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_490]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_488,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3031_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5814,plain,
% 5.37/5.69 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_488]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_486,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3030_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5810,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_486]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_484,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3029_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5806,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_484]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_479,plain,
% 5.37/5.69 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.37/5.69 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X1,X2,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3027_3) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5796,plain,
% 5.37/5.69 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.37/5.69 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X1,X2,tc_nat)
% 5.37/5.69 | ~ c_lessequals(X0,X2,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_479]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_474,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3026_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5786,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_474]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_467,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3024_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5772,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_467]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_465,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3023_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5768,plain,
% 5.37/5.69 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_465]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_463,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3022_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5764,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_463]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_461,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3021_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5760,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_461]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_457,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3019_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5752,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_457]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_447,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3016_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5732,plain,
% 5.37/5.69 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.69 | 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) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_447]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_424,plain,
% 5.37/5.69 ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
% 5.37/5.69 | X1 = X4 ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3010_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5686,plain,
% 5.37/5.69 ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
% 5.37/5.69 | X1 = X4 ),
% 5.37/5.69 inference(copy,[status(esa)],[c_424]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_422,plain,
% 5.37/5.69 ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
% 5.37/5.69 | X0 = X3 ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3009_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5682,plain,
% 5.37/5.69 ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
% 5.37/5.69 | X0 = X3 ),
% 5.37/5.69 inference(copy,[status(esa)],[c_422]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_411,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.69 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3006_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5660,plain,
% 5.37/5.69 ( ~ 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)
% 5.37/5.69 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.69 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 5.37/5.69 inference(copy,[status(esa)],[c_411]) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_405,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.69 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 5.37/5.69 | c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.69 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3004_0) ).
% 5.37/5.69
% 5.37/5.69 cnf(c_5648,plain,
% 5.37/5.69 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 5.37/5.69 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 5.37/5.70 | c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_405]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5649,plain,
% 5.37/5.70 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 5.37/5.70 | c_lessequals(X1,X2,tc_nat)
% 5.37/5.70 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5648]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_355,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.70 | 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)
% 5.37/5.70 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2991_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5548,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.70 | 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)
% 5.37/5.70 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_355]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_352,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.70 | 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)
% 5.37/5.70 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2990_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5542,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.70 | 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)
% 5.37/5.70 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_352]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_350,plain,
% 5.37/5.70 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.70 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2989_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5538,plain,
% 5.37/5.70 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 5.37/5.70 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_350]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_340,plain,
% 5.37/5.70 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.37/5.70 | c_lessequals(X0,X2,tc_nat)
% 5.37/5.70 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.70 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2986_2) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5518,plain,
% 5.37/5.70 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.37/5.70 | c_lessequals(X0,X2,tc_nat)
% 5.37/5.70 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.70 | ~ c_lessequals(X1,X2,tc_nat) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_340]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_339,plain,
% 5.37/5.70 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.37/5.70 | ~ c_lessequals(X1,X2,tc_nat)
% 5.37/5.70 | c_lessequals(X0,X2,tc_nat)
% 5.37/5.70 | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2986_1) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5516,plain,
% 5.37/5.70 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.37/5.70 | ~ c_lessequals(X1,X2,tc_nat)
% 5.37/5.70 | c_lessequals(X0,X2,tc_nat)
% 5.37/5.70 | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_339]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_338,plain,
% 5.37/5.70 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.37/5.70 | ~ c_lessequals(X1,X2,tc_nat)
% 5.37/5.70 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.70 | c_lessequals(X0,X2,tc_nat) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2986_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5514,plain,
% 5.37/5.70 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 5.37/5.70 | ~ c_lessequals(X1,X2,tc_nat)
% 5.37/5.70 | ~ c_lessequals(X1,X0,tc_nat)
% 5.37/5.70 | c_lessequals(X0,X2,tc_nat) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_338]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_300,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2979_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5438,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_300]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_298,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2978_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5434,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_298]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_296,plain,
% 5.37/5.70 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.37/5.70 | c_Type_Otyping(c_Type_Oshift(X0,X3,X4,tc_Type_Otype),c_Lambda_Olift(X1,X3),X2) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2977_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5430,plain,
% 5.37/5.70 ( ~ c_Type_Otyping(X0,X1,X2)
% 5.37/5.70 | c_Type_Otyping(c_Type_Oshift(X0,X3,X4,tc_Type_Otype),c_Lambda_Olift(X1,X3),X2) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_296]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5431,plain,
% 5.37/5.70 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 5.37/5.70 | ~ c_Type_Otyping(X0,X3,X4) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5430]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_294,plain,
% 5.37/5.70 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 5.37/5.70 | 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)) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2976_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5426,plain,
% 5.37/5.70 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 5.37/5.70 | 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)) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_294]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5427,plain,
% 5.37/5.70 ( 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))
% 5.37/5.70 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5426]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_292,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.70 | 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)) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2975_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5422,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 5.37/5.70 | 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)) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_292]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_290,plain,
% 5.37/5.70 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 5.37/5.70 | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2974_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5418,plain,
% 5.37/5.70 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 5.37/5.70 | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_290]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_282,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2971_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5402,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_282]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5403,plain,
% 5.37/5.70 ( 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)
% 5.37/5.70 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5402]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_274,plain,
% 5.37/5.70 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2968_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5386,plain,
% 5.37/5.70 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_274]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5387,plain,
% 5.37/5.70 ( 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)
% 5.37/5.70 | ~ class_Orderings_Olinorder(X3) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5386]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_272,plain,
% 5.37/5.70 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2967_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5382,plain,
% 5.37/5.70 ( ~ class_Orderings_Olinorder(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_272]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5383,plain,
% 5.37/5.70 ( 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)
% 5.37/5.70 | ~ class_Orderings_Olinorder(X2) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5382]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_270,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2966_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5378,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_270]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5379,plain,
% 5.37/5.70 ( 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)
% 5.37/5.70 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5378]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_268,plain,
% 5.37/5.70 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 5.37/5.70 | 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)) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2965_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5374,plain,
% 5.37/5.70 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 5.37/5.70 | 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)) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_268]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5375,plain,
% 5.37/5.70 ( 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))
% 5.37/5.70 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5374]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_264,plain,
% 5.37/5.70 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 5.37/5.70 | hBOOL(hAPP(X0,X2)) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2963_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5366,plain,
% 5.37/5.70 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 5.37/5.70 | hBOOL(hAPP(X0,X2)) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_264]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_262,plain,
% 5.37/5.70 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 5.37/5.70 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X1),X3)) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2962_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5362,plain,
% 5.37/5.70 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 5.37/5.70 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X1),X3)) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_262]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_242,plain,
% 5.37/5.70 ( 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))
% 5.37/5.70 | X0 = X2
% 5.37/5.70 | X1 = X3 ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2957_1) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5322,plain,
% 5.37/5.70 ( 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))
% 5.37/5.70 | X0 = X2
% 5.37/5.70 | X1 = X3 ),
% 5.37/5.70 inference(copy,[status(esa)],[c_242]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_241,plain,
% 5.37/5.70 ( 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))
% 5.37/5.70 | X1 = X3
% 5.37/5.70 | X0 = X2 ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2957_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5320,plain,
% 5.37/5.70 ( 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))
% 5.37/5.70 | X1 = X3
% 5.37/5.70 | X0 = X2 ),
% 5.37/5.70 inference(copy,[status(esa)],[c_241]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_229,plain,
% 5.37/5.70 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.70 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2954_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5296,plain,
% 5.37/5.70 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.70 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_229]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_227,plain,
% 5.37/5.70 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.70 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2953_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5292,plain,
% 5.37/5.70 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.70 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_227]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_225,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.70 | ~ 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2952_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5288,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.70 | ~ 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_225]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5289,plain,
% 5.37/5.70 ( ~ 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)
% 5.37/5.70 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5288]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_217,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Osemiring(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2949_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5272,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Osemiring(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_217]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_215,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.70 | ~ 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2948_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5268,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 5.37/5.70 | ~ 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_215]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5269,plain,
% 5.37/5.70 ( ~ 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)
% 5.37/5.70 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5268]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_212,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oring(X0)
% 5.37/5.70 | 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)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2947_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5262,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oring(X0)
% 5.37/5.70 | 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)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_212]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_209,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oring(X0)
% 5.37/5.70 | 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)
% 5.37/5.70 | 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 ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2946_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5256,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oring(X0)
% 5.37/5.70 | 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)
% 5.37/5.70 | 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 ),
% 5.37/5.70 inference(copy,[status(esa)],[c_209]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5257,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oring(X0)
% 5.37/5.70 | 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
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5256]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_201,plain,
% 5.37/5.70 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 5.37/5.70 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2943_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5240,plain,
% 5.37/5.70 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 5.37/5.70 | hBOOL(hAPP(X0,X1)) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_201]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_197,plain,
% 5.37/5.70 ( ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X2,c_Type_Otype_OAtom(X3),t_a)))
% 5.37/5.70 | hBOOL(hAPP(X0,hAPP(X1,X3))) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2941_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5232,plain,
% 5.37/5.70 ( ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X2,c_Type_Otype_OAtom(X3),t_a)))
% 5.37/5.70 | hBOOL(hAPP(X0,hAPP(X1,X3))) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_197]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5233,plain,
% 5.37/5.70 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 5.37/5.70 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5232]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_193,plain,
% 5.37/5.70 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_Suc(X3),t_a)))
% 5.37/5.70 | hBOOL(hAPP(X0,hAPP(X2,X3))) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2939_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5224,plain,
% 5.37/5.70 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_Suc(X3),t_a)))
% 5.37/5.70 | hBOOL(hAPP(X0,hAPP(X2,X3))) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_193]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5225,plain,
% 5.37/5.70 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 5.37/5.70 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5224]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_191,plain,
% 5.37/5.70 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 5.37/5.70 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2938_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5220,plain,
% 5.37/5.70 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 5.37/5.70 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_191]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_189,plain,
% 5.37/5.70 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 5.37/5.70 | c_Lambda_OdB_OVar(X0) = X1 ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2937_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5216,plain,
% 5.37/5.70 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 5.37/5.70 | c_Lambda_OdB_OVar(X0) = X1 ),
% 5.37/5.70 inference(copy,[status(esa)],[c_189]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_187,plain,
% 5.37/5.70 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 5.37/5.70 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2936_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5212,plain,
% 5.37/5.70 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 5.37/5.70 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 5.37/5.70 inference(copy,[status(esa)],[c_187]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_183,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oring(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2934_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5204,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Oring(X0)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_183]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_179,plain,
% 5.37/5.70 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2932_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5196,plain,
% 5.37/5.70 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_179]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_175,plain,
% 5.37/5.70 ( ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),t_a)))
% 5.37/5.70 | hBOOL(hAPP(X0,hAPP(hAPP(X2,X3),X4))) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2930_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5188,plain,
% 5.37/5.70 ( ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X2,hAPP(hAPP(c_Type_Otype_OFun,X3),X4),t_a)))
% 5.37/5.70 | hBOOL(hAPP(X0,hAPP(hAPP(X2,X3),X4))) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_175]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5189,plain,
% 5.37/5.70 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 5.37/5.70 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),t_a))) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5188]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_173,plain,
% 5.37/5.70 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 5.37/5.70 | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2929_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5184,plain,
% 5.37/5.70 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 5.37/5.70 | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_173]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_171,plain,
% 5.37/5.70 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 5.37/5.70 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2928_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5180,plain,
% 5.37/5.70 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 5.37/5.70 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_171]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_169,plain,
% 5.37/5.70 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.70 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2927_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5176,plain,
% 5.37/5.70 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.37/5.70 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_169]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_167,plain,
% 5.37/5.70 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2926_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5172,plain,
% 5.37/5.70 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_167]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_165,plain,
% 5.37/5.70 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2925_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5168,plain,
% 5.37/5.70 ( ~ c_lessequals(X0,X1,tc_nat)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_165]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_162,plain,
% 5.37/5.70 ( ~ 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)
% 5.37/5.70 | ~ c_lessequals(X0,X3,tc_nat)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2924_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5162,plain,
% 5.37/5.70 ( ~ 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)
% 5.37/5.70 | ~ c_lessequals(X0,X3,tc_nat)
% 5.37/5.70 | 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) ),
% 5.37/5.70 inference(copy,[status(esa)],[c_162]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5163,plain,
% 5.37/5.70 ( ~ 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)
% 5.37/5.70 | 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)
% 5.37/5.70 | ~ c_lessequals(X0,X3,tc_nat) ),
% 5.37/5.70 inference(rewriting,[status(thm)],[c_5162]) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_150,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.70 | ~ 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)
% 5.37/5.70 | 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) ),
% 5.37/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2920_0) ).
% 5.37/5.70
% 5.37/5.70 cnf(c_5138,plain,
% 5.37/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.37/5.70 | ~ 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)
% 5.46/5.70 | 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) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_150]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5139,plain,
% 5.46/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.46/5.70 | 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)
% 5.46/5.70 | ~ 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) ),
% 5.46/5.70 inference(rewriting,[status(thm)],[c_5138]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_147,plain,
% 5.46/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.46/5.70 | ~ 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)
% 5.46/5.70 | 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) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2919_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5132,plain,
% 5.46/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.46/5.70 | ~ 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)
% 5.46/5.70 | 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) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_147]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_144,plain,
% 5.46/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.46/5.70 | ~ 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)
% 5.46/5.70 | 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) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2918_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5126,plain,
% 5.46/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.46/5.70 | ~ 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)
% 5.46/5.70 | 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) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_144]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5127,plain,
% 5.46/5.70 ( 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)
% 5.46/5.70 | ~ 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)
% 5.46/5.70 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.46/5.70 inference(rewriting,[status(thm)],[c_5126]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_135,plain,
% 5.46/5.70 ( ~ 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)
% 5.46/5.70 | ~ c_lessequals(X1,X0,tc_nat)
% 5.46/5.70 | 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) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2915_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5108,plain,
% 5.46/5.70 ( ~ 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)
% 5.46/5.70 | ~ c_lessequals(X1,X0,tc_nat)
% 5.46/5.70 | 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) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_135]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5109,plain,
% 5.46/5.70 ( ~ 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)
% 5.46/5.70 | 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)
% 5.46/5.70 | ~ c_lessequals(X1,X0,tc_nat) ),
% 5.46/5.70 inference(rewriting,[status(thm)],[c_5108]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_126,plain,
% 5.46/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.46/5.70 | ~ 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)
% 5.46/5.70 | 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) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2912_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5090,plain,
% 5.46/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.46/5.70 | ~ 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)
% 5.46/5.70 | 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) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_126]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_123,plain,
% 5.46/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.46/5.70 | ~ 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)
% 5.46/5.70 | 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) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2911_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5084,plain,
% 5.46/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.46/5.70 | ~ 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)
% 5.46/5.70 | 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) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_123]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5085,plain,
% 5.46/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.46/5.70 | 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)
% 5.46/5.70 | ~ 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) ),
% 5.46/5.70 inference(rewriting,[status(thm)],[c_5084]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_117,plain,
% 5.46/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.46/5.70 | ~ 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)
% 5.46/5.70 | 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) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2909_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5072,plain,
% 5.46/5.70 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 5.46/5.70 | ~ 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)
% 5.46/5.70 | 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) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_117]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5073,plain,
% 5.46/5.70 ( 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)
% 5.46/5.70 | ~ 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)
% 5.46/5.70 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 5.46/5.70 inference(rewriting,[status(thm)],[c_5072]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_115,plain,
% 5.46/5.70 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.46/5.70 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2908_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5068,plain,
% 5.46/5.70 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.46/5.70 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_115]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_113,plain,
% 5.46/5.70 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.46/5.70 | 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) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2907_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5064,plain,
% 5.46/5.70 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 5.46/5.70 | 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) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_113]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_111,plain,
% 5.46/5.70 ( 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)
% 5.46/5.70 | X0 = X2 ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2906_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5060,plain,
% 5.46/5.70 ( 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)
% 5.46/5.70 | X0 = X2 ),
% 5.46/5.70 inference(copy,[status(esa)],[c_111]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_109,plain,
% 5.46/5.70 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 5.46/5.70 | 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)) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2905_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5056,plain,
% 5.46/5.70 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 5.46/5.70 | 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)) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_109]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_107,plain,
% 5.46/5.70 ( 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)
% 5.46/5.70 | X0 = X2 ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2904_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5052,plain,
% 5.46/5.70 ( 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)
% 5.46/5.70 | X0 = X2 ),
% 5.46/5.70 inference(copy,[status(esa)],[c_107]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_105,plain,
% 5.46/5.70 ( 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)
% 5.46/5.70 | X1 = X3 ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2903_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5048,plain,
% 5.46/5.70 ( 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)
% 5.46/5.70 | X1 = X3 ),
% 5.46/5.70 inference(copy,[status(esa)],[c_105]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_103,plain,
% 5.46/5.70 ( 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)
% 5.46/5.70 | X0 = X2 ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2902_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5044,plain,
% 5.46/5.70 ( 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)
% 5.46/5.70 | X0 = X2 ),
% 5.46/5.70 inference(copy,[status(esa)],[c_103]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_101,plain,
% 5.46/5.70 ( 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)
% 5.46/5.70 | X1 = X3 ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2901_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5040,plain,
% 5.46/5.70 ( 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)
% 5.46/5.70 | X1 = X3 ),
% 5.46/5.70 inference(copy,[status(esa)],[c_101]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_99,plain,
% 5.46/5.70 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.46/5.70 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2900_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5036,plain,
% 5.46/5.70 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.46/5.70 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_99]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_97,plain,
% 5.46/5.70 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.46/5.70 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2899_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5032,plain,
% 5.46/5.70 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.46/5.70 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_97]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_95,plain,
% 5.46/5.70 ( ~ c_Lambda_Obeta(X0,X1)
% 5.46/5.70 | 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)) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2898_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5028,plain,
% 5.46/5.70 ( ~ c_Lambda_Obeta(X0,X1)
% 5.46/5.70 | 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)) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_95]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5029,plain,
% 5.46/5.70 ( 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))
% 5.46/5.70 | ~ c_Lambda_Obeta(X0,X2) ),
% 5.46/5.70 inference(rewriting,[status(thm)],[c_5028]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_92,plain,
% 5.46/5.70 ( ~ c_Type_Otypings(X0,X1,X2)
% 5.46/5.70 | ~ c_Type_Otyping(X0,X3,c_List_Ofoldr(c_Type_Otype_OFun,X2,X4,tc_Type_Otype,tc_Type_Otype))
% 5.46/5.70 | c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2897_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5022,plain,
% 5.46/5.70 ( ~ c_Type_Otypings(X0,X1,X2)
% 5.46/5.70 | ~ c_Type_Otyping(X0,X3,c_List_Ofoldr(c_Type_Otype_OFun,X2,X4,tc_Type_Otype,tc_Type_Otype))
% 5.46/5.70 | c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 5.46/5.70 inference(copy,[status(esa)],[c_92]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5023,plain,
% 5.46/5.70 ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.46/5.70 | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 5.46/5.70 | ~ c_Type_Otypings(X0,X2,X4) ),
% 5.46/5.70 inference(rewriting,[status(thm)],[c_5022]) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_89,plain,
% 5.46/5.70 ( ~ c_InductTermi_OIT(X0)
% 5.46/5.70 | ~ 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))
% 5.46/5.70 | 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)) ),
% 5.46/5.70 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2896_0) ).
% 5.46/5.70
% 5.46/5.70 cnf(c_5016,plain,
% 5.46/5.70 ( ~ c_InductTermi_OIT(X0)
% 5.46/5.70 | ~ 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))
% 5.46/5.71 | 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)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_89]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_5017,plain,
% 5.46/5.71 ( 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))
% 5.46/5.71 | ~ 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))
% 5.46/5.71 | ~ c_InductTermi_OIT(X1) ),
% 5.46/5.71 inference(rewriting,[status(thm)],[c_5016]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_87,plain,
% 5.46/5.71 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.46/5.71 | c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2895_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_5012,plain,
% 5.46/5.71 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.46/5.71 | c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_87]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_85,plain,
% 5.46/5.71 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.46/5.71 | c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2894_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_5008,plain,
% 5.46/5.71 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.46/5.71 | c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_85]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_82,plain,
% 5.46/5.71 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.46/5.71 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 5.46/5.71 | X4 = X3 ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2893_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_5002,plain,
% 5.46/5.71 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 5.46/5.71 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 5.46/5.71 | X4 = X3 ),
% 5.46/5.71 inference(copy,[status(esa)],[c_82]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_78,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2891_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4994,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 5.46/5.71 inference(copy,[status(esa)],[c_78]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_74,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2889_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4986,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 5.46/5.71 inference(copy,[status(esa)],[c_74]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_70,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2887_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4978,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 5.46/5.71 inference(copy,[status(esa)],[c_70]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_68,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2886_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4974,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 5.46/5.71 inference(copy,[status(esa)],[c_68]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_66,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2885_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4970,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 5.46/5.71 inference(copy,[status(esa)],[c_66]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_64,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2884_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4966,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 5.46/5.71 inference(copy,[status(esa)],[c_64]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_62,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2883_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4962,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 5.46/5.71 inference(copy,[status(esa)],[c_62]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_56,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2880_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4950,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_56]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_54,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2879_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4946,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_54]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_48,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2876_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4934,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_48]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_46,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2875_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4930,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_46]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_44,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2874_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4926,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_44]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_42,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2873_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4922,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_42]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_40,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2872_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4918,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_40]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_38,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2871_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4914,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_38]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_28,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2866_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4894,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_28]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_26,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2865_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4890,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_26]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_24,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),c_HOL_Otimes__class_Otimes(X7,X8,tc_nat)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2864_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4886,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),c_HOL_Otimes__class_Otimes(X7,X8,tc_nat)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_24]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_22,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2863_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4882,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_22]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_20,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2862_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4878,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_20]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_18,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2861_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4874,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_18]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_16,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2860_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4870,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_16]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_14,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | 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)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2859_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4866,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | 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)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_14]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_10,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2857_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4858,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_10]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_8,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2856_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4854,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_8]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_6,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | 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)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2855_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4850,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | 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)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_6]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | 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))) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2854_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4846,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | 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))) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_4]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_2,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | 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)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2853_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4842,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | 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)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_2]) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_0,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | 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)) ),
% 5.46/5.71 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_2852_0) ).
% 5.46/5.71
% 5.46/5.71 cnf(c_4838,plain,
% 5.46/5.71 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 5.46/5.71 | 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)) ),
% 5.46/5.71 inference(copy,[status(esa)],[c_0]) ).
% 5.46/5.71
% 5.46/5.71
% 5.46/5.71
% 5.46/5.71 % ------ Statistics
% 5.46/5.71
% 5.46/5.71 % ------ General
% 5.46/5.71
% 5.46/5.71 % num_of_input_clauses: 2198
% 5.46/5.71 % num_of_input_neg_conjectures: 1
% 5.46/5.71 % num_of_splits: 0
% 5.46/5.71 % num_of_split_atoms: 0
% 5.46/5.71 % num_of_sem_filtered_clauses: 0
% 5.46/5.71 % num_of_subtypes: 0
% 5.46/5.71 % monotx_restored_types: 0
% 5.46/5.71 % sat_num_of_epr_types: 0
% 5.46/5.71 % sat_num_of_non_cyclic_types: 0
% 5.46/5.71 % sat_guarded_non_collapsed_types: 0
% 5.46/5.71 % is_epr: 0
% 5.46/5.71 % is_horn: 0
% 5.46/5.71 % has_eq: 1
% 5.46/5.71 % num_pure_diseq_elim: 0
% 5.46/5.71 % simp_replaced_by: 0
% 5.46/5.71 % res_preprocessed: 2
% 5.46/5.71 % prep_upred: 0
% 5.46/5.71 % prep_unflattend: 0
% 5.46/5.71 % pred_elim_cands: 0
% 5.46/5.71 % pred_elim: 0
% 5.46/5.71 % pred_elim_cl: 0
% 5.46/5.71 % pred_elim_cycles: 0
% 5.46/5.71 % forced_gc_time: 0
% 5.46/5.71 % gc_basic_clause_elim: 0
% 5.46/5.71 % parsing_time: 0.127
% 5.46/5.71 % sem_filter_time: 0.
% 5.46/5.71 % pred_elim_time: 0.
% 5.46/5.71 % out_proof_time: 0.
% 5.46/5.71 % monotx_time: 0.
% 5.46/5.71 % subtype_inf_time: 0.
% 5.46/5.71 % unif_index_cands_time: 0.
% 5.46/5.71 % unif_index_add_time: 0.001
% 5.46/5.71 % total_time: 5.096
% 5.46/5.71 % num_of_symbols: 149
% 5.46/5.71 % num_of_terms: 5784
% 5.46/5.71
% 5.46/5.71 % ------ Propositional Solver
% 5.46/5.71
% 5.46/5.71 % prop_solver_calls: 1
% 5.46/5.71 % prop_fast_solver_calls: 3
% 5.46/5.71 % prop_num_of_clauses: 1809
% 5.46/5.71 % prop_preprocess_simplified: 6879
% 5.46/5.71 % prop_fo_subsumed: 0
% 5.46/5.71 % prop_solver_time: 0.
% 5.46/5.71 % prop_fast_solver_time: 0.
% 5.46/5.71 % prop_unsat_core_time: 0.
% 5.46/5.71
% 5.46/5.71 % ------ QBF
% 5.46/5.71
% 5.46/5.71 % qbf_q_res: 0
% 5.46/5.71 % qbf_num_tautologies: 0
% 5.46/5.71 % qbf_prep_cycles: 0
% 5.46/5.71
% 5.46/5.71 % ------ BMC1
% 5.46/5.71
% 5.46/5.71 % bmc1_current_bound: -1
% 5.46/5.71 % bmc1_last_solved_bound: -1
% 5.46/5.71 % bmc1_unsat_core_size: -1
% 5.46/5.71 % bmc1_unsat_core_parents_size: -1
% 5.46/5.71 % bmc1_merge_next_fun: 0
% 5.46/5.71 % bmc1_unsat_core_clauses_time: 0.
% 5.46/5.71
% 5.46/5.71 % ------ Instantiation
% 5.46/5.71
% 5.46/5.71 % inst_num_of_clauses: 1917
% 5.46/5.71 % inst_num_in_passive: 0
% 5.46/5.71 % inst_num_in_active: 0
% 5.46/5.71 % inst_num_in_unprocessed: 2198
% 5.46/5.71 % inst_num_of_loops: 0
% 5.46/5.71 % inst_num_of_learning_restarts: 0
% 5.46/5.71 % inst_num_moves_active_passive: 0
% 5.46/5.71 % inst_lit_activity: 0
% 5.46/5.71 % inst_lit_activity_moves: 0
% 5.46/5.71 % inst_num_tautologies: 0
% 5.46/5.71 % inst_num_prop_implied: 0
% 5.46/5.71 % inst_num_existing_simplified: 0
% 5.46/5.71 % inst_num_eq_res_simplified: 0
% 5.46/5.71 % inst_num_child_elim: 0
% 5.46/5.71 % inst_num_of_dismatching_blockings: 0
% 5.46/5.71 % inst_num_of_non_proper_insts: 0
% 5.46/5.71 % inst_num_of_duplicates: 0
% 5.46/5.71 % inst_inst_num_from_inst_to_res: 0
% 5.46/5.71 % inst_dismatching_checking_time: 0.
% 5.46/5.71
% 5.46/5.71 % ------ Resolution
% 5.46/5.71
% 5.46/5.71 % res_num_of_clauses: 2164
% 5.46/5.71 % res_num_in_passive: 0
% 5.46/5.71 % res_num_in_active: 798
% 5.46/5.71 % res_num_of_loops: 4
% 5.46/5.71 % res_forward_subset_subsumed: 1296
% 5.46/5.71 % res_backward_subset_subsumed: 4
% 5.46/5.71 % res_forward_subsumed: 2
% 5.46/5.71 % res_backward_subsumed: 0
% 5.46/5.71 % res_forward_subsumption_resolution: 0
% 5.46/5.71 % res_backward_subsumption_resolution: 0
% 5.46/5.71 % res_clause_to_clause_subsumption: 2
% 5.46/5.71 % res_orphan_elimination: 0
% 5.46/5.71 % res_tautology_del: 0
% 5.46/5.71 % res_num_eq_res_simplified: 0
% 5.46/5.71 % res_num_sel_changes: 0
% 5.46/5.71 % res_moves_from_active_to_pass: 0
% 5.46/5.71
% 5.46/5.71 % Status Unknown
% 5.54/5.93 % Orienting using strategy ClausalAll
% 5.54/5.93 % Orientation found
% 5.54/5.93 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f7ec06.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_8467a1.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_8cd773 | grep -v "SZS"
% 5.54/5.96
% 5.54/5.96 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 5.54/5.96
% 5.54/5.96 %
% 5.54/5.96 % ------ iProver source info
% 5.54/5.96
% 5.54/5.96 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 5.54/5.96 % git: non_committed_changes: true
% 5.54/5.96 % git: last_make_outside_of_git: true
% 5.54/5.96
% 5.54/5.96 %
% 5.54/5.96 % ------ Input Options
% 5.54/5.96
% 5.54/5.96 % --out_options all
% 5.54/5.96 % --tptp_safe_out true
% 5.54/5.96 % --problem_path ""
% 5.54/5.96 % --include_path ""
% 5.54/5.96 % --clausifier .//eprover
% 5.54/5.96 % --clausifier_options --tstp-format
% 5.54/5.96 % --stdin false
% 5.54/5.96 % --dbg_backtrace false
% 5.54/5.96 % --dbg_dump_prop_clauses false
% 5.54/5.96 % --dbg_dump_prop_clauses_file -
% 5.54/5.96 % --dbg_out_stat false
% 5.54/5.96
% 5.54/5.96 % ------ General Options
% 5.54/5.96
% 5.54/5.96 % --fof false
% 5.54/5.96 % --time_out_real 150.
% 5.54/5.96 % --time_out_prep_mult 0.2
% 5.54/5.96 % --time_out_virtual -1.
% 5.54/5.96 % --schedule none
% 5.54/5.96 % --ground_splitting input
% 5.54/5.96 % --splitting_nvd 16
% 5.54/5.96 % --non_eq_to_eq false
% 5.54/5.96 % --prep_gs_sim true
% 5.54/5.96 % --prep_unflatten false
% 5.54/5.96 % --prep_res_sim true
% 5.54/5.96 % --prep_upred true
% 5.54/5.96 % --res_sim_input true
% 5.54/5.96 % --clause_weak_htbl true
% 5.54/5.96 % --gc_record_bc_elim false
% 5.54/5.96 % --symbol_type_check false
% 5.54/5.96 % --clausify_out false
% 5.54/5.96 % --large_theory_mode false
% 5.54/5.96 % --prep_sem_filter none
% 5.54/5.96 % --prep_sem_filter_out false
% 5.54/5.96 % --preprocessed_out false
% 5.54/5.96 % --sub_typing false
% 5.54/5.96 % --brand_transform false
% 5.54/5.96 % --pure_diseq_elim true
% 5.54/5.96 % --min_unsat_core false
% 5.54/5.96 % --pred_elim true
% 5.54/5.96 % --add_important_lit false
% 5.54/5.96 % --soft_assumptions false
% 5.54/5.96 % --reset_solvers false
% 5.54/5.96 % --bc_imp_inh []
% 5.54/5.96 % --conj_cone_tolerance 1.5
% 5.54/5.96 % --prolific_symb_bound 500
% 5.54/5.96 % --lt_threshold 2000
% 5.54/5.96
% 5.54/5.96 % ------ SAT Options
% 5.54/5.96
% 5.54/5.96 % --sat_mode false
% 5.54/5.96 % --sat_fm_restart_options ""
% 5.54/5.96 % --sat_gr_def false
% 5.54/5.96 % --sat_epr_types true
% 5.54/5.96 % --sat_non_cyclic_types false
% 5.54/5.96 % --sat_finite_models false
% 5.54/5.96 % --sat_fm_lemmas false
% 5.54/5.96 % --sat_fm_prep false
% 5.54/5.96 % --sat_fm_uc_incr true
% 5.54/5.96 % --sat_out_model small
% 5.54/5.96 % --sat_out_clauses false
% 5.54/5.96
% 5.54/5.96 % ------ QBF Options
% 5.54/5.96
% 5.54/5.96 % --qbf_mode false
% 5.54/5.96 % --qbf_elim_univ true
% 5.54/5.96 % --qbf_sk_in true
% 5.54/5.96 % --qbf_pred_elim true
% 5.54/5.96 % --qbf_split 32
% 5.54/5.96
% 5.54/5.96 % ------ BMC1 Options
% 5.54/5.96
% 5.54/5.96 % --bmc1_incremental false
% 5.54/5.96 % --bmc1_axioms reachable_all
% 5.54/5.96 % --bmc1_min_bound 0
% 5.54/5.96 % --bmc1_max_bound -1
% 5.54/5.96 % --bmc1_max_bound_default -1
% 5.54/5.96 % --bmc1_symbol_reachability true
% 5.54/5.96 % --bmc1_property_lemmas false
% 5.54/5.96 % --bmc1_k_induction false
% 5.54/5.96 % --bmc1_non_equiv_states false
% 5.54/5.96 % --bmc1_deadlock false
% 5.54/5.96 % --bmc1_ucm false
% 5.54/5.96 % --bmc1_add_unsat_core none
% 5.54/5.96 % --bmc1_unsat_core_children false
% 5.54/5.96 % --bmc1_unsat_core_extrapolate_axioms false
% 5.54/5.96 % --bmc1_out_stat full
% 5.54/5.96 % --bmc1_ground_init false
% 5.54/5.96 % --bmc1_pre_inst_next_state false
% 5.54/5.96 % --bmc1_pre_inst_state false
% 5.54/5.96 % --bmc1_pre_inst_reach_state false
% 5.54/5.96 % --bmc1_out_unsat_core false
% 5.54/5.96 % --bmc1_aig_witness_out false
% 5.54/5.96 % --bmc1_verbose false
% 5.54/5.96 % --bmc1_dump_clauses_tptp false
% 9.78/10.40 % --bmc1_dump_unsat_core_tptp false
% 9.78/10.40 % --bmc1_dump_file -
% 9.78/10.40 % --bmc1_ucm_expand_uc_limit 128
% 9.78/10.40 % --bmc1_ucm_n_expand_iterations 6
% 9.78/10.40 % --bmc1_ucm_extend_mode 1
% 9.78/10.40 % --bmc1_ucm_init_mode 2
% 9.78/10.40 % --bmc1_ucm_cone_mode none
% 9.78/10.40 % --bmc1_ucm_reduced_relation_type 0
% 9.78/10.40 % --bmc1_ucm_relax_model 4
% 9.78/10.40 % --bmc1_ucm_full_tr_after_sat true
% 9.78/10.40 % --bmc1_ucm_expand_neg_assumptions false
% 9.78/10.40 % --bmc1_ucm_layered_model none
% 9.78/10.40 % --bmc1_ucm_max_lemma_size 10
% 9.78/10.40
% 9.78/10.40 % ------ AIG Options
% 9.78/10.40
% 9.78/10.40 % --aig_mode false
% 9.78/10.40
% 9.78/10.40 % ------ Instantiation Options
% 9.78/10.40
% 9.78/10.40 % --instantiation_flag true
% 9.78/10.40 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 9.78/10.40 % --inst_solver_per_active 750
% 9.78/10.40 % --inst_solver_calls_frac 0.5
% 9.78/10.40 % --inst_passive_queue_type priority_queues
% 9.78/10.40 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 9.78/10.40 % --inst_passive_queues_freq [25;2]
% 9.78/10.40 % --inst_dismatching true
% 9.78/10.40 % --inst_eager_unprocessed_to_passive true
% 9.78/10.40 % --inst_prop_sim_given true
% 9.78/10.40 % --inst_prop_sim_new false
% 9.78/10.40 % --inst_orphan_elimination true
% 9.78/10.40 % --inst_learning_loop_flag true
% 9.78/10.40 % --inst_learning_start 3000
% 9.78/10.40 % --inst_learning_factor 2
% 9.78/10.40 % --inst_start_prop_sim_after_learn 3
% 9.78/10.40 % --inst_sel_renew solver
% 9.78/10.40 % --inst_lit_activity_flag true
% 9.78/10.40 % --inst_out_proof true
% 9.78/10.40
% 9.78/10.40 % ------ Resolution Options
% 9.78/10.40
% 9.78/10.40 % --resolution_flag true
% 9.78/10.40 % --res_lit_sel kbo_max
% 9.78/10.40 % --res_to_prop_solver none
% 9.78/10.40 % --res_prop_simpl_new false
% 9.78/10.40 % --res_prop_simpl_given false
% 9.78/10.40 % --res_passive_queue_type priority_queues
% 9.78/10.40 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 9.78/10.40 % --res_passive_queues_freq [15;5]
% 9.78/10.40 % --res_forward_subs full
% 9.78/10.40 % --res_backward_subs full
% 9.78/10.40 % --res_forward_subs_resolution true
% 9.78/10.40 % --res_backward_subs_resolution true
% 9.78/10.40 % --res_orphan_elimination false
% 9.78/10.40 % --res_time_limit 1000.
% 9.78/10.40 % --res_out_proof true
% 9.78/10.40 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f7ec06.s
% 9.78/10.40 % --modulo true
% 9.78/10.40
% 9.78/10.40 % ------ Combination Options
% 9.78/10.40
% 9.78/10.40 % --comb_res_mult 1000
% 9.78/10.40 % --comb_inst_mult 300
% 9.78/10.40 % ------
% 9.78/10.40
% 9.78/10.40 % ------ Parsing...% successful
% 9.78/10.40
% 9.78/10.40 % ------ 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 %
% 9.78/10.40
% 9.78/10.40 % ------ Proving...
% 9.78/10.40 % ------ Problem Properties
% 9.78/10.40
% 9.78/10.40 %
% 9.78/10.40 % EPR false
% 9.78/10.40 % Horn false
% 9.78/10.40 % Has equality true
% 9.78/10.40
% 9.78/10.40 % % ------ Input Options Time Limit: Unbounded
% 9.78/10.40
% 9.78/10.40
% 9.78/10.40 Compiling...
% 9.78/10.40 Loading plugin: done.
% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
% 9.78/10.40 Loading plugin: done.
% 9.78/10.40 Compiling...
% 9.78/10.40 Loading plugin: done.
% 9.78/10.40 Compiling...
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% 9.78/10.40 Compiling...
% 9.78/10.40 Loading plugin: done.
% 9.78/10.40 Compiling...
% 9.78/10.40 Loading plugin: done.
% 9.78/10.40 Compiling...
% 9.78/10.40 Loading plugin: done.
% 9.78/10.40 % % ------ Current options:
% 9.78/10.40
% 9.78/10.40 % ------ Input Options
% 9.78/10.40
% 9.78/10.40 % --out_options all
% 9.78/10.40 % --tptp_safe_out true
% 9.78/10.40 % --problem_path ""
% 9.78/10.40 % --include_path ""
% 9.78/10.40 % --clausifier .//eprover
% 9.78/10.40 % --clausifier_options --tstp-format
% 9.78/10.40 % --stdin false
% 9.78/10.40 % --dbg_backtrace false
% 9.78/10.40 % --dbg_dump_prop_clauses false
% 9.78/10.40 % --dbg_dump_prop_clauses_file -
% 9.78/10.40 % --dbg_out_stat false
% 9.78/10.40
% 9.78/10.40 % ------ General Options
% 9.78/10.40
% 9.78/10.40 % --fof false
% 9.78/10.40 % --time_out_real 150.
% 9.78/10.40 % --time_out_prep_mult 0.2
% 9.78/10.40 % --time_out_virtual -1.
% 9.78/10.40 % --schedule none
% 9.78/10.40 % --ground_splitting input
% 9.78/10.40 % --splitting_nvd 16
% 9.78/10.40 % --non_eq_to_eq false
% 9.78/10.40 % --prep_gs_sim true
% 9.78/10.40 % --prep_unflatten false
% 9.78/10.40 % --prep_res_sim true
% 9.78/10.40 % --prep_upred true
% 9.78/10.40 % --res_sim_input true
% 9.78/10.40 % --clause_weak_htbl true
% 9.78/10.40 % --gc_record_bc_elim false
% 9.78/10.40 % --symbol_type_check false
% 9.78/10.40 % --clausify_out false
% 9.78/10.40 % --large_theory_mode false
% 9.78/10.40 % --prep_sem_filter none
% 9.78/10.40 % --prep_sem_filter_out false
% 9.78/10.40 % --preprocessed_out false
% 9.78/10.40 % --sub_typing false
% 9.78/10.40 % --brand_transform false
% 9.78/10.40 % --pure_diseq_elim true
% 9.78/10.40 % --min_unsat_core false
% 9.78/10.40 % --pred_elim true
% 9.78/10.40 % --add_important_lit false
% 9.78/10.40 % --soft_assumptions false
% 9.78/10.40 % --reset_solvers false
% 9.78/10.40 % --bc_imp_inh []
% 9.78/10.40 % --conj_cone_tolerance 1.5
% 9.78/10.40 % --prolific_symb_bound 500
% 9.78/10.40 % --lt_threshold 2000
% 9.78/10.40
% 9.78/10.40 % ------ SAT Options
% 9.78/10.40
% 9.78/10.40 % --sat_mode false
% 9.78/10.40 % --sat_fm_restart_options ""
% 9.78/10.40 % --sat_gr_def false
% 9.78/10.40 % --sat_epr_types true
% 9.78/10.40 % --sat_non_cyclic_types false
% 9.78/10.40 % --sat_finite_models false
% 9.78/10.40 % --sat_fm_lemmas false
% 9.78/10.40 % --sat_fm_prep false
% 9.78/10.40 % --sat_fm_uc_incr true
% 9.78/10.40 % --sat_out_model small
% 9.78/10.40 % --sat_out_clauses false
% 9.78/10.40
% 9.78/10.40 % ------ QBF Options
% 9.78/10.40
% 9.78/10.40 % --qbf_mode false
% 9.78/10.40 % --qbf_elim_univ true
% 9.78/10.40 % --qbf_sk_in true
% 9.78/10.40 % --qbf_pred_elim true
% 9.78/10.40 % --qbf_split 32
% 9.78/10.40
% 9.78/10.40 % ------ BMC1 Options
% 9.78/10.40
% 9.78/10.40 % --bmc1_incremental false
% 9.78/10.40 % --bmc1_axioms reachable_all
% 9.78/10.40 % --bmc1_min_bound 0
% 9.78/10.40 % --bmc1_max_bound -1
% 9.78/10.40 % --bmc1_max_bound_default -1
% 9.78/10.40 % --bmc1_symbol_reachability true
% 9.78/10.40 % --bmc1_property_lemmas false
% 9.78/10.40 % --bmc1_k_induction false
% 9.78/10.40 % --bmc1_non_equiv_states false
% 9.78/10.40 % --bmc1_deadlock false
% 9.78/10.40 % --bmc1_ucm false
% 9.78/10.40 % --bmc1_add_unsat_core none
% 9.78/10.40 % --bmc1_unsat_core_children false
% 9.78/10.40 % --bmc1_unsat_core_extrapolate_axioms false
% 9.78/10.40 % --bmc1_out_stat full
% 9.78/10.40 % --bmc1_ground_init false
% 9.78/10.40 % --bmc1_pre_inst_next_state false
% 9.78/10.40 % --bmc1_pre_inst_state false
% 9.78/10.40 % --bmc1_pre_inst_reach_state false
% 9.78/10.40 % --bmc1_out_unsat_core false
% 9.78/10.40 % --bmc1_aig_witness_out false
% 9.78/10.40 % --bmc1_verbose false
% 9.78/10.40 % --bmc1_dump_clauses_tptp false
% 9.78/10.40 % --bmc1_dump_unsat_core_tptp false
% 9.78/10.40 % --bmc1_dump_file -
% 9.78/10.40 % --bmc1_ucm_expand_uc_limit 128
% 9.78/10.40 % --bmc1_ucm_n_expand_iterations 6
% 9.78/10.40 % --bmc1_ucm_extend_mode 1
% 9.78/10.40 % --bmc1_ucm_init_mode 2
% 9.78/10.40 % --bmc1_ucm_cone_mode none
% 9.78/10.40 % --bmc1_ucm_reduced_relation_type 0
% 9.78/10.40 % --bmc1_ucm_relax_model 4
% 9.78/10.40 % --bmc1_ucm_full_tr_after_sat true
% 9.78/10.40 % --bmc1_ucm_expand_neg_assumptions false
% 9.78/10.40 % --bmc1_ucm_layered_model none
% 9.78/10.40 % --bmc1_ucm_max_lemma_size 10
% 9.78/10.40
% 9.78/10.40 % ------ AIG Options
% 9.78/10.40
% 9.78/10.40 % --aig_mode false
% 9.78/10.40
% 9.78/10.40 % ------ Instantiation Options
% 9.78/10.40
% 9.78/10.40 % --instantiation_flag true
% 9.78/10.40 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 9.78/10.40 % --inst_solver_per_active 750
% 9.78/10.40 % --inst_solver_calls_frac 0.5
% 9.78/10.40 % --inst_passive_queue_type priority_queues
% 9.78/10.40 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 9.78/10.40 % --inst_passive_queues_freq [25;2]
% 9.78/10.40 % --inst_dismatching true
% 9.78/10.40 % --inst_eager_unprocessed_to_passive true
% 9.78/10.40 % --inst_prop_sim_given true
% 9.78/10.40 % --inst_prop_sim_new false
% 9.78/10.40 % --inst_orphan_elimination true
% 9.78/10.40 % --inst_learning_loop_flag true
% 9.78/10.40 % --inst_learning_start 3000
% 9.78/10.40 % --inst_learning_factor 2
% 9.78/10.40 % --inst_start_prop_sim_after_learn 3
% 9.78/10.40 % --inst_sel_renew solver
% 9.78/10.40 % --inst_lit_activity_flag true
% 9.78/10.40 % --inst_out_proof true
% 9.78/10.40
% 9.78/10.40 % ------ Resolution Options
% 9.78/10.40
% 9.78/10.40 % --resolution_flag true
% 9.78/10.40 % --res_lit_sel kbo_max
% 9.78/10.40 % --res_to_prop_solver none
% 9.78/10.40 % --res_prop_simpl_new false
% 9.78/10.40 % --res_prop_simpl_given false
% 9.78/10.40 % --res_passive_queue_type priority_queues
% 9.78/10.40 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 9.78/10.40 % --res_passive_queues_freq [15;5]
% 9.78/10.40 % --res_forward_subs full
% 9.78/10.40 % --res_backward_subs full
% 9.78/10.40 % --res_forward_subs_resolution true
% 9.78/10.40 % --res_backward_subs_resolution true
% 9.78/10.40 % --res_orphan_elimination false
% 9.78/10.40 % --res_time_limit 1000.
% 9.78/10.40 % --res_out_proof true
% 9.78/10.40 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_f7ec06.s
% 9.78/10.40 % --modulo true
% 9.78/10.40
% 9.78/10.40 % ------ Combination Options
% 9.78/10.40
% 9.78/10.40 % --comb_res_mult 1000
% 9.78/10.40 % --comb_inst_mult 300
% 9.78/10.40 % ------
% 9.78/10.40
% 9.78/10.40
% 9.78/10.40
% 9.78/10.40 % ------ Proving...
% 9.78/10.40 % warning: shown sat in sat incomplete mode
% 9.78/10.40 %
% 9.78/10.40
% 9.78/10.40
% 9.78/10.40
% 9.78/10.40
% 9.78/10.40 cnf(c_2112,plain,
% 9.78/10.40 ( X0 = X1
% 9.78/10.40 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 9.78/10.40 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3717_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_9107,plain,
% 9.78/10.40 ( X0 = X1
% 9.78/10.40 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X0)
% 9.78/10.40 | ~ c_Type_Otyping(X2,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X3),X4,tc_Lambda_OdB,tc_Lambda_OdB),X1) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_2112]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_9108,plain,
% 9.78/10.40 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 9.78/10.40 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 9.78/10.40 | X3 = X4 ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_9107]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_2077,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3739_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_9037,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_2077]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_9038,plain,
% 9.78/10.40 ( ~ 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)
% 9.78/10.40 | 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_9037]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_2071,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3741_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_9025,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_2071]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_9026,plain,
% 9.78/10.40 ( ~ 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)
% 9.78/10.40 | 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_9025]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_2065,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X0,X3,tc_nat)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3743_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_9013,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X0,X3,tc_nat)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_2065]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_9014,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ c_lessequals(X0,X3,tc_nat) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_9013]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_2059,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X3,X0,tc_nat)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3745_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_9001,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X3,X0,tc_nat)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_2059]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_9002,plain,
% 9.78/10.40 ( ~ c_lessequals(X0,X1,tc_nat)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | 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) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_9001]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_2056,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X0,X3,tc_nat)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3746_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8995,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X0,X3,tc_nat)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_2056]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8996,plain,
% 9.78/10.40 ( ~ c_lessequals(X0,X1,tc_nat)
% 9.78/10.40 | 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)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8995]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_2050,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3748_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8983,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_2050]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8984,plain,
% 9.78/10.40 ( ~ 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)
% 9.78/10.40 | 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8983]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_2044,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3750_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8971,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Opordered__ring(X1) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_2044]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8972,plain,
% 9.78/10.40 ( ~ 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)
% 9.78/10.40 | 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8971]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_2038,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X1,X0,tc_nat)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3752_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8959,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X1,X0,tc_nat)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_2038]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8960,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ c_lessequals(X1,X0,tc_nat) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8959]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_2035,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X1,X0,tc_nat)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3753_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8953,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X1,X0,tc_nat)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_2035]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8954,plain,
% 9.78/10.40 ( ~ c_lessequals(X0,X1,tc_nat)
% 9.78/10.40 | 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)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8953]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_2032,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X2,X1,tc_nat)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3754_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8947,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X2,X1,tc_nat)
% 9.78/10.40 | ~ 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) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_2032]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8948,plain,
% 9.78/10.40 ( ~ c_lessequals(X0,X1,tc_nat)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | 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) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8947]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_1991,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X2,X1,tc_nat)
% 9.78/10.40 | 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) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3779_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8865,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ c_lessequals(X2,X1,tc_nat)
% 9.78/10.40 | 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) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_1991]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8866,plain,
% 9.78/10.40 ( ~ c_lessequals(X0,X1,tc_nat)
% 9.78/10.40 | 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)
% 9.78/10.40 | 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) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8865]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_1988,plain,
% 9.78/10.40 ( 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
% 9.78/10.40 | ~ c_lessequals(X1,X0,tc_nat)
% 9.78/10.40 | 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) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3780_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8859,plain,
% 9.78/10.40 ( 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
% 9.78/10.40 | ~ c_lessequals(X1,X0,tc_nat)
% 9.78/10.40 | 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) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_1988]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8860,plain,
% 9.78/10.40 ( ~ c_lessequals(X0,X1,tc_nat)
% 9.78/10.40 | 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
% 9.78/10.40 | 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) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8859]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_1975,plain,
% 9.78/10.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3787_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8833,plain,
% 9.78/10.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_1975]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8834,plain,
% 9.78/10.40 ( ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 9.78/10.40 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8833]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_1972,plain,
% 9.78/10.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3788_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8827,plain,
% 9.78/10.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 9.78/10.40 | ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_1972]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8828,plain,
% 9.78/10.40 ( ~ 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 9.78/10.40 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8827]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_1947,plain,
% 9.78/10.40 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 9.78/10.40 | ~ c_Type_Otyping(X2,X3,X0)
% 9.78/10.40 | ~ c_InductTermi_OIT(X3)
% 9.78/10.40 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 9.78/10.40 | ~ c_InductTermi_OIT(X4)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3798_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8777,plain,
% 9.78/10.40 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 9.78/10.40 | ~ c_Type_Otyping(X2,X3,X0)
% 9.78/10.40 | ~ c_InductTermi_OIT(X3)
% 9.78/10.40 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 9.78/10.40 | ~ c_InductTermi_OIT(X4)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X0,tc_Type_Otype),X4,X6) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_1947]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8778,plain,
% 9.78/10.40 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 9.78/10.40 | ~ c_InductTermi_OIT(X1)
% 9.78/10.40 | ~ c_InductTermi_OIT(X0)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 9.78/10.40 | ~ c_Type_Otyping(X3,X1,X4)
% 9.78/10.40 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8777]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_1944,plain,
% 9.78/10.40 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 9.78/10.40 | ~ c_InductTermi_OIT(X0)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 9.78/10.40 | ~ c_InductTermi_OIT(X1)
% 9.78/10.40 | ~ c_Type_Otyping(X3,X1,X4)
% 9.78/10.40 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3798_5) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8771,plain,
% 9.78/10.40 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 9.78/10.40 | ~ c_InductTermi_OIT(X0)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 9.78/10.40 | ~ c_InductTermi_OIT(X1)
% 9.78/10.40 | ~ c_Type_Otyping(X3,X1,X4)
% 9.78/10.40 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 9.78/10.40 inference(copy,[status(esa)],[c_1944]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8772,plain,
% 9.78/10.40 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 9.78/10.40 | ~ c_InductTermi_OIT(X0)
% 9.78/10.40 | ~ c_InductTermi_OIT(X1)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 9.78/10.40 | ~ c_Type_Otyping(X3,X1,X4)
% 9.78/10.40 | hAPP(hAPP(c_Type_Otype_OFun,X4),X6) != v_T____ ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8771]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_1941,plain,
% 9.78/10.40 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 9.78/10.40 | ~ c_Type_Otyping(X2,X3,X1)
% 9.78/10.40 | ~ c_InductTermi_OIT(X3)
% 9.78/10.40 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 9.78/10.40 | ~ c_InductTermi_OIT(X4)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3799_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8765,plain,
% 9.78/10.40 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != v_T____
% 9.78/10.40 | ~ c_Type_Otyping(X2,X3,X1)
% 9.78/10.40 | ~ c_InductTermi_OIT(X3)
% 9.78/10.40 | c_InductTermi_OIT(c_Lambda_Osubst(X4,X3,X5))
% 9.78/10.40 | ~ c_InductTermi_OIT(X4)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X2,X5,X1,tc_Type_Otype),X4,X6) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_1941]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8766,plain,
% 9.78/10.40 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 9.78/10.40 | ~ c_InductTermi_OIT(X1)
% 9.78/10.40 | ~ c_InductTermi_OIT(X0)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 9.78/10.40 | ~ c_Type_Otyping(X3,X1,X4)
% 9.78/10.40 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8765]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_1938,plain,
% 9.78/10.40 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 9.78/10.40 | ~ c_InductTermi_OIT(X0)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 9.78/10.40 | ~ c_InductTermi_OIT(X1)
% 9.78/10.40 | ~ c_Type_Otyping(X3,X1,X4)
% 9.78/10.40 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3799_5) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8759,plain,
% 9.78/10.40 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 9.78/10.40 | ~ c_InductTermi_OIT(X0)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 9.78/10.40 | ~ c_InductTermi_OIT(X1)
% 9.78/10.40 | ~ c_Type_Otyping(X3,X1,X4)
% 9.78/10.40 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 9.78/10.40 inference(copy,[status(esa)],[c_1938]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8760,plain,
% 9.78/10.40 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,X1,X2))
% 9.78/10.40 | ~ c_InductTermi_OIT(X0)
% 9.78/10.40 | ~ c_InductTermi_OIT(X1)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X3,X2,X4,tc_Type_Otype),X0,X5)
% 9.78/10.40 | ~ c_Type_Otyping(X3,X1,X4)
% 9.78/10.40 | hAPP(hAPP(c_Type_Otype_OFun,X6),X4) != v_T____ ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8759]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_1935,plain,
% 9.78/10.40 ( c_Type_Otyping(X0,c_Lambda_Osubst(X1,X2,X3),X4)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 9.78/10.40 | ~ c_Type_Otyping(X0,X2,X5) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3800_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8753,plain,
% 9.78/10.40 ( c_Type_Otyping(X0,c_Lambda_Osubst(X1,X2,X3),X4)
% 9.78/10.40 | ~ c_Type_Otyping(c_Type_Oshift(X0,X3,X5,tc_Type_Otype),X1,X4)
% 9.78/10.40 | ~ c_Type_Otyping(X0,X2,X5) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_1935]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8754,plain,
% 9.78/10.40 ( ~ c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),X3,X4)
% 9.78/10.40 | c_Type_Otyping(X0,c_Lambda_Osubst(X3,X5,X1),X4)
% 9.78/10.40 | ~ c_Type_Otyping(X0,X5,X2) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8753]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_1918,plain,
% 9.78/10.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 9.78/10.40 | 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 9.78/10.40 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3808_2) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8719,plain,
% 9.78/10.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 9.78/10.40 | 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 9.78/10.40 inference(copy,[status(esa)],[c_1918]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_8720,plain,
% 9.78/10.40 ( 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)
% 9.78/10.40 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 9.78/10.40 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 9.78/10.40 inference(rewriting,[status(thm)],[c_8719]) ).
% 9.78/10.40
% 9.78/10.40 cnf(c_1915,plain,
% 9.78/10.40 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 9.78/10.40 | 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)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3809_2) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8713,plain,
% 9.78/10.41 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 9.78/10.41 | 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)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1915]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8714,plain,
% 9.78/10.41 ( 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)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 9.78/10.41 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8713]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1893,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3823_1) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8669,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1893]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8670,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8669]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1889,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3823_5) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8661,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1889]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8662,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8661]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1887,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | ~ c_lessequals(X1,X3,X0)
% 9.78/10.41 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 9.78/10.41 | ~ c_lessequals(X2,X4,X0) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3824_1) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8657,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | ~ c_lessequals(X1,X3,X0)
% 9.78/10.41 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 9.78/10.41 | ~ c_lessequals(X2,X4,X0) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1887]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8658,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 9.78/10.41 | ~ c_lessequals(X1,X4,X0)
% 9.78/10.41 | ~ c_lessequals(X2,X3,X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8657]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1883,plain,
% 9.78/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 9.78/10.41 | ~ c_lessequals(X0,X3,X2)
% 9.78/10.41 | ~ c_lessequals(X1,X4,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3824_5) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8649,plain,
% 9.78/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 9.78/10.41 | ~ c_lessequals(X0,X3,X2)
% 9.78/10.41 | ~ c_lessequals(X1,X4,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1883]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8650,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 9.78/10.41 | ~ c_lessequals(X1,X3,X0)
% 9.78/10.41 | ~ c_lessequals(X2,X4,X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8649]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1881,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | ~ c_lessequals(X1,X3,X0)
% 9.78/10.41 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 9.78/10.41 | ~ c_lessequals(X4,X2,X0) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3825_1) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8645,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | ~ c_lessequals(X1,X3,X0)
% 9.78/10.41 | c_lessequals(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 9.78/10.41 | ~ c_lessequals(X4,X2,X0) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1881]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8646,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 9.78/10.41 | ~ c_lessequals(X1,X4,X0)
% 9.78/10.41 | ~ c_lessequals(X3,X2,X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8645]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1877,plain,
% 9.78/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 9.78/10.41 | ~ c_lessequals(X0,X3,X2)
% 9.78/10.41 | ~ c_lessequals(X1,X4,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3825_5) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8637,plain,
% 9.78/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 9.78/10.41 | ~ c_lessequals(X0,X3,X2)
% 9.78/10.41 | ~ c_lessequals(X1,X4,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Opordered__semiring(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1877]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8638,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X2,X0),c_HOL_Otimes__class_Otimes(X1,X4,X0),X0)
% 9.78/10.41 | ~ c_lessequals(X3,X1,X0)
% 9.78/10.41 | ~ c_lessequals(X2,X4,X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8637]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1871,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 9.78/10.41 | ~ c_lessequals(X0,X3,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3826_5) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8625,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 9.78/10.41 | ~ c_lessequals(X0,X3,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1871]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8626,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(X2,X3,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8625]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1865,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 9.78/10.41 | ~ c_lessequals(X1,X4,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3827_5) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8613,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 9.78/10.41 | ~ c_lessequals(X1,X4,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1865]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8614,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(X2,X3,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X4,X3,X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8613]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1863,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3828_1) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8609,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X4,X1,X0),c_HOL_Otimes__class_Otimes(X2,X3,X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X4,X2,X0) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1863]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8610,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8609]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1857,plain,
% 9.78/10.41 ( ~ 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)
% 9.78/10.41 | ~ c_lessequals(X1,X2,tc_nat)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X1,X0,tc_nat) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3829_1) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8597,plain,
% 9.78/10.41 ( ~ 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)
% 9.78/10.41 | ~ c_lessequals(X1,X2,tc_nat)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X1,X0,tc_nat) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1857]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8598,plain,
% 9.78/10.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X0,X2,tc_nat)
% 9.78/10.41 | ~ 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)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8597]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1855,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X2,X0,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X2,X1,tc_nat)
% 9.78/10.41 | ~ 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) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3829_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8593,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X2,X0,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X2,X1,tc_nat)
% 9.78/10.41 | ~ 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) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1855]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8594,plain,
% 9.78/10.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X0,X2,tc_nat)
% 9.78/10.41 | ~ 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)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8593]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1835,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3835_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8553,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1835]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8554,plain,
% 9.78/10.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8553]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1831,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3836_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8545,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1831]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8546,plain,
% 9.78/10.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8545]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1827,plain,
% 9.78/10.41 ( c_lessequals(X0,X1,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3837_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8537,plain,
% 9.78/10.41 ( c_lessequals(X0,X1,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1827]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8538,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 9.78/10.41 | c_lessequals(X1,X3,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8537]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1823,plain,
% 9.78/10.41 ( c_lessequals(X0,X1,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3838_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8529,plain,
% 9.78/10.41 ( c_lessequals(X0,X1,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1823]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8530,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 9.78/10.41 | c_lessequals(X2,X3,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8529]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1819,plain,
% 9.78/10.41 ( c_lessequals(X0,X1,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3839_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8521,plain,
% 9.78/10.41 ( c_lessequals(X0,X1,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1819]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8522,plain,
% 9.78/10.41 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 9.78/10.41 | c_lessequals(X1,X3,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8521]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1815,plain,
% 9.78/10.41 ( c_lessequals(X0,X1,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3840_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8513,plain,
% 9.78/10.41 ( c_lessequals(X0,X1,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X2),c_HOL_Otimes__class_Otimes(X3,X0,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1815]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8514,plain,
% 9.78/10.41 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 9.78/10.41 | c_lessequals(X3,X1,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8513]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1783,plain,
% 9.78/10.41 ( c_lessequals(X0,X1,tc_nat)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3849_2) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8449,plain,
% 9.78/10.41 ( c_lessequals(X0,X1,tc_nat)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),c_HOL_Otimes__class_Otimes(X1,X2,tc_nat),tc_nat)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1783]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8450,plain,
% 9.78/10.41 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 9.78/10.41 | c_lessequals(X0,X2,tc_nat)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8449]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1779,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3850_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8441,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1779]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8442,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8441]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1775,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3851_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8433,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1775]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8434,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8433]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1766,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3854_4) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8415,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1766]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8416,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 9.78/10.41 | c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8415]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1762,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3855_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8407,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X3,X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1762]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8408,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8407]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1758,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3856_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8399,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1758]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8400,plain,
% 9.78/10.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8399]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1754,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3857_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8391,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1754]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8392,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8391]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1750,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3858_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8383,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,c_HOL_Ozero__class_Ozero(X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1750]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8384,plain,
% 9.78/10.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8383]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1747,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3860_0) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8377,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X3,X2,X0),X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,X1,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1747]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8378,plain,
% 9.78/10.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8377]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1744,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3860_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8371,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1744]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8372,plain,
% 9.78/10.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,X0,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8371]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1743,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3861_0) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8369,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1743]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8370,plain,
% 9.78/10.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8369]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1740,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3861_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8363,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1740]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8364,plain,
% 9.78/10.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X1,X3,X2)
% 9.78/10.41 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8363]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1719,plain,
% 9.78/10.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X2,X1,tc_nat)
% 9.78/10.41 | 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)
% 9.78/10.41 | ~ c_lessequals(X2,X0,tc_nat) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3873_1) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8321,plain,
% 9.78/10.41 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X2,X1,tc_nat)
% 9.78/10.41 | 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)
% 9.78/10.41 | ~ c_lessequals(X2,X0,tc_nat) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1719]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8322,plain,
% 9.78/10.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X0,X2,tc_nat)
% 9.78/10.41 | 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)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8321]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1717,plain,
% 9.78/10.41 ( 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)
% 9.78/10.41 | ~ c_lessequals(X1,X0,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X1,X2,tc_nat)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3873_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8317,plain,
% 9.78/10.41 ( 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)
% 9.78/10.41 | ~ c_lessequals(X1,X0,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X1,X2,tc_nat)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1717]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8318,plain,
% 9.78/10.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X0,X2,tc_nat)
% 9.78/10.41 | 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)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8317]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1704,plain,
% 9.78/10.41 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 9.78/10.41 | ~ c_lessequals(X1,X2,X0)
% 9.78/10.41 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 9.78/10.41 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3882_0) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8291,plain,
% 9.78/10.41 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 9.78/10.41 | ~ c_lessequals(X1,X2,X0)
% 9.78/10.41 | ~ c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X1),X0)
% 9.78/10.41 | c_lessequals(X3,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1704]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8292,plain,
% 9.78/10.41 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 9.78/10.41 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 9.78/10.41 | ~ c_lessequals(X3,X4,X1)
% 9.78/10.41 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8291]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1695,plain,
% 9.78/10.41 ( 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)
% 9.78/10.41 | ~ c_lessequals(X1,X0,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X1,X2,tc_nat) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3885_2) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8273,plain,
% 9.78/10.41 ( 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)
% 9.78/10.41 | ~ c_lessequals(X1,X0,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X1,X2,tc_nat) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1695]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8274,plain,
% 9.78/10.41 ( ~ c_lessequals(X0,X1,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X0,X2,tc_nat)
% 9.78/10.41 | 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) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8273]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1685,plain,
% 9.78/10.41 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X1,X2,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3889_2) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8253,plain,
% 9.78/10.41 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X1,X2,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1685]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8254,plain,
% 9.78/10.41 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 9.78/10.41 | ~ c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 9.78/10.41 | ~ c_lessequals(X1,X2,tc_nat) ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8253]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1660,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 9.78/10.41 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 9.78/10.41 | X1 = X3
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3899_1) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8203,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 9.78/10.41 | c_Power_Opower__class_Opower(X1,X2,X0) != c_Power_Opower__class_Opower(X3,X2,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 9.78/10.41 | X1 = X3
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1660]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8204,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 9.78/10.41 | c_Power_Opower__class_Opower(X2,X3,X0) != c_Power_Opower__class_Opower(X1,X3,X0)
% 9.78/10.41 | X2 = X1 ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8203]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1656,plain,
% 9.78/10.41 ( X0 = X1
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 9.78/10.41 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3899_5) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8195,plain,
% 9.78/10.41 ( X0 = X1
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 9.78/10.41 | c_Power_Opower__class_Opower(X0,X3,X2) != c_Power_Opower__class_Opower(X1,X3,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 9.78/10.41 inference(copy,[status(esa)],[c_1656]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8196,plain,
% 9.78/10.41 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 9.78/10.41 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X3,tc_nat)
% 9.78/10.41 | c_Power_Opower__class_Opower(X1,X3,X0) != c_Power_Opower__class_Opower(X2,X3,X0)
% 9.78/10.41 | X1 = X2 ),
% 9.78/10.41 inference(rewriting,[status(thm)],[c_8195]) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_1644,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 9.78/10.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 9.78/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 9.78/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3902_3) ).
% 9.78/10.41
% 9.78/10.41 cnf(c_8171,plain,
% 9.78/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.41 inference(copy,[status(esa)],[c_1644]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8172,plain,
% 10.22/10.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.41 inference(rewriting,[status(thm)],[c_8171]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_1616,plain,
% 10.22/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3909_3) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8115,plain,
% 10.22/10.41 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.41 inference(copy,[status(esa)],[c_1616]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8116,plain,
% 10.22/10.41 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.41 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.41 inference(rewriting,[status(thm)],[c_8115]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_1596,plain,
% 10.22/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.41 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.41 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 10.22/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3914_3) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8075,plain,
% 10.22/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.41 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.41 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 10.22/10.41 inference(copy,[status(esa)],[c_1596]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8076,plain,
% 10.22/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.41 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.41 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 10.22/10.41 inference(rewriting,[status(thm)],[c_8075]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_1592,plain,
% 10.22/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.41 | ~ c_lessequals(X3,X0,X2)
% 10.22/10.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 10.22/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3915_3) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8067,plain,
% 10.22/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.41 | ~ c_lessequals(X3,X0,X2)
% 10.22/10.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 10.22/10.41 inference(copy,[status(esa)],[c_1592]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8068,plain,
% 10.22/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.41 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.41 | ~ c_lessequals(X3,X0,X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Opordered__ring(X2) ),
% 10.22/10.41 inference(rewriting,[status(thm)],[c_8067]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_1588,plain,
% 10.22/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.41 | ~ c_lessequals(X1,X3,X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3916_3) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8059,plain,
% 10.22/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.41 | ~ c_lessequals(X1,X3,X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.41 inference(copy,[status(esa)],[c_1588]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8060,plain,
% 10.22/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.41 | ~ c_lessequals(X1,X3,X2)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.41 inference(rewriting,[status(thm)],[c_8059]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_1584,plain,
% 10.22/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.41 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3917_3) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8051,plain,
% 10.22/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.41 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.41 inference(copy,[status(esa)],[c_1584]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8052,plain,
% 10.22/10.41 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.41 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.41 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.41 inference(rewriting,[status(thm)],[c_8051]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_1568,plain,
% 10.22/10.41 ( 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)
% 10.22/10.41 | ~ c_lessequals(X1,X3,X0)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 10.22/10.41 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 10.22/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3923_3) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8019,plain,
% 10.22/10.41 ( 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)
% 10.22/10.41 | ~ c_lessequals(X1,X3,X0)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 10.22/10.41 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 10.22/10.41 inference(copy,[status(esa)],[c_1568]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8020,plain,
% 10.22/10.41 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 10.22/10.41 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.41 | 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)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 10.22/10.41 inference(rewriting,[status(thm)],[c_8019]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_1566,plain,
% 10.22/10.41 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.41 | 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)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 10.22/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3924_1) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8015,plain,
% 10.22/10.41 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.41 | 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)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 10.22/10.41 inference(copy,[status(esa)],[c_1566]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8016,plain,
% 10.22/10.41 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 10.22/10.41 | 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)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 10.22/10.41 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.41 inference(rewriting,[status(thm)],[c_8015]) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_1562,plain,
% 10.22/10.41 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 10.22/10.41 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.41 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 10.22/10.41 | ~ c_lessequals(X3,X4,X0) ),
% 10.22/10.41 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3925_1) ).
% 10.22/10.41
% 10.22/10.41 cnf(c_8007,plain,
% 10.22/10.41 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 10.22/10.41 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.41 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X4),X2),X0)
% 10.22/10.42 | ~ c_lessequals(X3,X4,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1562]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_8008,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 10.22/10.42 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 10.22/10.42 | ~ c_lessequals(X2,X4,X0)
% 10.22/10.42 | ~ c_lessequals(X1,X3,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_8007]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1524,plain,
% 10.22/10.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_lessequals(X2,X3,tc_nat) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3940_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7931,plain,
% 10.22/10.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X3,X1,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_lessequals(X2,X3,tc_nat) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1524]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7932,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_lessequals(X1,X3,tc_nat)
% 10.22/10.42 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7931]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1518,plain,
% 10.22/10.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.42 | 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)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3942_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7919,plain,
% 10.22/10.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.42 | 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)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1518]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7920,plain,
% 10.22/10.42 ( 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)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7919]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1515,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3943_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7913,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1515]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7914,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7913]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1513,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3943_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7909,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1513]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7910,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7909]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1511,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3944_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7905,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1511]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7906,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7905]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1509,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3944_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7901,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1509]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7902,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7901]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1484,plain,
% 10.22/10.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.42 | 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)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3960_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7851,plain,
% 10.22/10.42 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.42 | 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)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1484]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7852,plain,
% 10.22/10.42 ( 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)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7851]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1481,plain,
% 10.22/10.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.42 | 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)
% 10.22/10.42 | ~ c_lessequals(X2,X3,tc_nat) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3961_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7845,plain,
% 10.22/10.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.42 | 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)
% 10.22/10.42 | ~ c_lessequals(X2,X3,tc_nat) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1481]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7846,plain,
% 10.22/10.42 ( 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)
% 10.22/10.42 | ~ c_lessequals(X1,X3,tc_nat)
% 10.22/10.42 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7845]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1476,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3962_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7835,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1476]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7836,plain,
% 10.22/10.42 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7835]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1472,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3963_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7827,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1472]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7828,plain,
% 10.22/10.42 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7827]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1468,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3964_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7819,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1468]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7820,plain,
% 10.22/10.42 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7819]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1464,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3965_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7811,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1464]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7812,plain,
% 10.22/10.42 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7811]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1460,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3966_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7803,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1460]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7804,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7803]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1459,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3967_0) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7801,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1459]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7802,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7801]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1455,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3968_0) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7793,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1455]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7794,plain,
% 10.22/10.42 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7793]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1452,plain,
% 10.22/10.42 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.42 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3968_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7787,plain,
% 10.22/10.42 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.42 | c_lessequals(X2,c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1452]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7788,plain,
% 10.22/10.42 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7787]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1448,plain,
% 10.22/10.42 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3969_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7779,plain,
% 10.22/10.42 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1448]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7780,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7779]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1446,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.42 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 10.22/10.42 | X1 = X3
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3970_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7775,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.42 | c_Power_Opower__class_Opower(X1,c_Suc(X2),X0) != c_Power_Opower__class_Opower(X3,c_Suc(X2),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 10.22/10.42 | X1 = X3
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1446]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7776,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | c_Power_Opower__class_Opower(X2,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X0)
% 10.22/10.42 | X2 = X1 ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7775]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1443,plain,
% 10.22/10.42 ( X0 = X1
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.42 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3970_4) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7769,plain,
% 10.22/10.42 ( X0 = X1
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.42 | c_Power_Opower__class_Opower(X0,c_Suc(X3),X2) != c_Power_Opower__class_Opower(X1,c_Suc(X3),X2)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1443]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7770,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | c_Power_Opower__class_Opower(X1,c_Suc(X3),X0) != c_Power_Opower__class_Opower(X2,c_Suc(X3),X0)
% 10.22/10.42 | X1 = X2 ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7769]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1424,plain,
% 10.22/10.42 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.42 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3979_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7731,plain,
% 10.22/10.42 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.42 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1424]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7732,plain,
% 10.22/10.42 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 10.22/10.42 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7731]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1421,plain,
% 10.22/10.42 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.42 | 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)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3980_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7725,plain,
% 10.22/10.42 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.42 | 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)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1421]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7726,plain,
% 10.22/10.42 ( 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)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7725]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1396,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3988_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7675,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1396]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7676,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7675]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1388,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3990_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7659,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Opordered__ring(X0)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1388]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7660,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7659]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1384,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3991_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7651,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1384]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7652,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7651]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1380,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3992_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7643,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1380]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7644,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7643]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1376,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3993_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7635,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1376]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7636,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7635]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1366,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3995_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7615,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1366]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7616,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7615]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1342,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4001_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7567,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1342]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7568,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7567]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1338,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4002_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7559,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1338]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7560,plain,
% 10.22/10.42 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7559]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1334,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4003_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7551,plain,
% 10.22/10.42 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1334]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7552,plain,
% 10.22/10.42 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7551]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1332,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4004_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7547,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1332]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7548,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7547]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1328,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4005_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7539,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X2,X1,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1328]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7540,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7539]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1323,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4007_2) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7529,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1323]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7530,plain,
% 10.22/10.42 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 10.22/10.42 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7529]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1320,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4008_2) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7523,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1320]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7524,plain,
% 10.22/10.42 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 10.22/10.42 | c_HOL_Oord__class_Oless(X0,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7523]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1318,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4010_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7519,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1318]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7520,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7519]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1308,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4012_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7499,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1308]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7500,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7499]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1306,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4013_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7495,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1306]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7496,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7495]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1296,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4015_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7475,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1296]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7476,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7475]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1294,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4016_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7471,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1294]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7472,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7471]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1290,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4017_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7463,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1290]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7464,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.42 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7463]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1283,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 10.22/10.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 10.22/10.42 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4019_4) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7449,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 10.22/10.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 10.22/10.42 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1283]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7450,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7449]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1278,plain,
% 10.22/10.42 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 10.22/10.42 | ~ c_lessequals(X0,X2,X1)
% 10.22/10.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 10.22/10.42 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4020_4) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7439,plain,
% 10.22/10.42 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X3,X1)
% 10.22/10.42 | ~ c_lessequals(X0,X2,X1)
% 10.22/10.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 10.22/10.42 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1278]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7440,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X1),X0)
% 10.22/10.42 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7439]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1273,plain,
% 10.22/10.42 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 10.22/10.42 | ~ c_lessequals(X0,X3,X1)
% 10.22/10.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 10.22/10.42 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4021_4) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7429,plain,
% 10.22/10.42 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 10.22/10.42 | ~ c_lessequals(X0,X3,X1)
% 10.22/10.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 10.22/10.42 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1273]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7430,plain,
% 10.22/10.42 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.42 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 10.22/10.42 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_lessequals(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 10.22/10.42 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7429]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1240,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4031_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7363,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X0,X3,X1)
% 10.22/10.42 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1240]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7364,plain,
% 10.22/10.42 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(X2,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7363]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1215,plain,
% 10.22/10.42 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.42 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.42 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 10.22/10.42 | ~ c_lessequals(X3,X2,X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4041_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7313,plain,
% 10.22/10.42 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.42 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.42 | c_lessequals(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 10.22/10.42 | ~ c_lessequals(X3,X2,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1215]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7314,plain,
% 10.22/10.42 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.42 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 10.22/10.42 | ~ c_lessequals(X2,X3,X0)
% 10.22/10.42 | ~ c_lessequals(X1,X3,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7313]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1211,plain,
% 10.22/10.42 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4042_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7305,plain,
% 10.22/10.42 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1211]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7306,plain,
% 10.22/10.42 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7305]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1207,plain,
% 10.22/10.42 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4043_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7297,plain,
% 10.22/10.42 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X1,X0),X2,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1207]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7298,plain,
% 10.22/10.42 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7297]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1195,plain,
% 10.22/10.42 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.42 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.42 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 10.22/10.42 | ~ c_lessequals(X1,X3,X0) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4046_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7273,plain,
% 10.22/10.42 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.42 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.42 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X3,X2,X0),X0)
% 10.22/10.42 | ~ c_lessequals(X1,X3,X0) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1195]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7274,plain,
% 10.22/10.42 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.42 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 10.22/10.42 | ~ c_lessequals(X1,X3,X0)
% 10.22/10.42 | ~ c_lessequals(X1,X2,X0) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7273]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1187,plain,
% 10.22/10.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4049_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7257,plain,
% 10.22/10.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1187]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7258,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7257]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1184,plain,
% 10.22/10.42 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 10.22/10.42 | ~ c_lessequals(X1,X2,tc_nat)
% 10.22/10.42 | X0 = X2
% 10.22/10.42 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4050_1) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7251,plain,
% 10.22/10.42 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X1,tc_nat)
% 10.22/10.42 | ~ c_lessequals(X1,X2,tc_nat)
% 10.22/10.42 | X0 = X2
% 10.22/10.42 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1184]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7252,plain,
% 10.22/10.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.42 | ~ c_lessequals(X0,X2,tc_nat)
% 10.22/10.42 | c_HOL_Ominus__class_Ominus(X2,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)
% 10.22/10.42 | X2 = X1 ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7251]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1182,plain,
% 10.22/10.42 ( X0 = X1
% 10.22/10.42 | ~ c_lessequals(X2,X0,tc_nat)
% 10.22/10.42 | ~ c_lessequals(X2,X1,tc_nat)
% 10.22/10.42 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4050_3) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7247,plain,
% 10.22/10.42 ( X0 = X1
% 10.22/10.42 | ~ c_lessequals(X2,X0,tc_nat)
% 10.22/10.42 | ~ c_lessequals(X2,X1,tc_nat)
% 10.22/10.42 | c_HOL_Ominus__class_Ominus(X0,X2,tc_nat) != c_HOL_Ominus__class_Ominus(X1,X2,tc_nat) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1182]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7248,plain,
% 10.22/10.42 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.42 | ~ c_lessequals(X0,X2,tc_nat)
% 10.22/10.42 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ominus__class_Ominus(X2,X0,tc_nat)
% 10.22/10.42 | X1 = X2 ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7247]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1179,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.42 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4051_2) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7241,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.42 inference(copy,[status(esa)],[c_1179]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_7242,plain,
% 10.22/10.42 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.42 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),X1,tc_nat) ),
% 10.22/10.42 inference(rewriting,[status(thm)],[c_7241]) ).
% 10.22/10.42
% 10.22/10.42 cnf(c_1146,plain,
% 10.22/10.42 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.42 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4068_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7175,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1146]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7176,plain,
% 10.22/10.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7175]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1143,plain,
% 10.22/10.43 ( c_lessequals(X0,X1,X2)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4069_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7169,plain,
% 10.22/10.43 ( c_lessequals(X0,X1,X2)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1143]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7170,plain,
% 10.22/10.43 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.43 | c_lessequals(X0,X1,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7169]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1140,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 10.22/10.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4070_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7163,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 10.22/10.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1140]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7164,plain,
% 10.22/10.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7163]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1137,plain,
% 10.22/10.43 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.43 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4071_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7157,plain,
% 10.22/10.43 ( c_lessequals(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.43 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1137]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7158,plain,
% 10.22/10.43 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.43 | c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7157]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1134,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4072_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7151,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Oordered__idom(X1) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1134]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7152,plain,
% 10.22/10.43 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.43 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7151]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1131,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4073_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7145,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1131]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7146,plain,
% 10.22/10.43 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7145]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1128,plain,
% 10.22/10.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 10.22/10.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4074_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7139,plain,
% 10.22/10.43 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 10.22/10.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1128]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7140,plain,
% 10.22/10.43 ( ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 10.22/10.43 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.43 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7139]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1127,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4083_0) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7137,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X3,X4,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1127]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7138,plain,
% 10.22/10.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7137]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1124,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4083_3) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7131,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1124]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7132,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7131]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1123,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4084_0) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7129,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1123]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7130,plain,
% 10.22/10.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X3,X4,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X4,X2) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7129]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1120,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4084_3) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7123,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1120]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7124,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X3,X4,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X3,X4,X2) != c_HOL_Ominus__class_Ominus(X0,X1,X2) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7123]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1119,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 10.22/10.43 | ~ c_lessequals(X4,X3,X0)
% 10.22/10.43 | c_lessequals(X2,X1,X0) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4085_0) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7121,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 10.22/10.43 | ~ c_lessequals(X4,X3,X0)
% 10.22/10.43 | c_lessequals(X2,X1,X0) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1119]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7122,plain,
% 10.22/10.43 ( ~ c_lessequals(X0,X1,X2)
% 10.22/10.43 | c_lessequals(X3,X4,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7121]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1116,plain,
% 10.22/10.43 ( c_lessequals(X0,X1,X2)
% 10.22/10.43 | ~ c_lessequals(X3,X4,X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4085_3) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7115,plain,
% 10.22/10.43 ( c_lessequals(X0,X1,X2)
% 10.22/10.43 | ~ c_lessequals(X3,X4,X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1116]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7116,plain,
% 10.22/10.43 ( c_lessequals(X0,X1,X2)
% 10.22/10.43 | ~ c_lessequals(X3,X4,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7115]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1115,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 10.22/10.43 | ~ c_lessequals(X2,X1,X0)
% 10.22/10.43 | c_lessequals(X4,X3,X0) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4086_0) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7113,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X4,X0)
% 10.22/10.43 | ~ c_lessequals(X2,X1,X0)
% 10.22/10.43 | c_lessequals(X4,X3,X0) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1115]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7114,plain,
% 10.22/10.43 ( ~ c_lessequals(X0,X1,X2)
% 10.22/10.43 | c_lessequals(X3,X4,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X0,X2) != c_HOL_Ominus__class_Ominus(X4,X3,X2) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7113]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1112,plain,
% 10.22/10.43 ( c_lessequals(X0,X1,X2)
% 10.22/10.43 | ~ c_lessequals(X3,X4,X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4086_3) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7107,plain,
% 10.22/10.43 ( c_lessequals(X0,X1,X2)
% 10.22/10.43 | ~ c_lessequals(X3,X4,X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1112]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_7108,plain,
% 10.22/10.43 ( c_lessequals(X0,X1,X2)
% 10.22/10.43 | ~ c_lessequals(X3,X4,X2)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__ab__group__add(X2)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X4,X3,X2) != c_HOL_Ominus__class_Ominus(X1,X0,X2) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_7107]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1052,plain,
% 10.22/10.43 ( 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)
% 10.22/10.43 | ~ c_lessequals(X2,X0,tc_nat)
% 10.22/10.43 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4110_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6987,plain,
% 10.22/10.43 ( 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)
% 10.22/10.43 | ~ c_lessequals(X2,X0,tc_nat)
% 10.22/10.43 | ~ class_Ring__and__Field_Oring__1(X1) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1052]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6988,plain,
% 10.22/10.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.43 | ~ class_Ring__and__Field_Oring__1(X2)
% 10.22/10.43 | 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) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6987]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1044,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.43 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4119_1) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6971,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.43 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1044]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6972,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6971]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1041,plain,
% 10.22/10.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4119_4) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6965,plain,
% 10.22/10.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X2) != c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1041]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6966,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6965]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1039,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.43 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4120_1) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6961,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.43 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1039]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6962,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) != c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6961]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1036,plain,
% 10.22/10.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4120_4) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6955,plain,
% 10.22/10.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X1),X0,X1)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X1) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1036]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6956,plain,
% 10.22/10.43 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.43 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6955]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_1031,plain,
% 10.22/10.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4124_0) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6945,plain,
% 10.22/10.43 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X3)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X0,X3,tc_nat) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_1031]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6946,plain,
% 10.22/10.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 10.22/10.43 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6945]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_985,plain,
% 10.22/10.43 ( X0 = X1
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 10.22/10.43 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4145_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6853,plain,
% 10.22/10.43 ( X0 = X1
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 10.22/10.43 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_985]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6854,plain,
% 10.22/10.43 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.43 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 10.22/10.43 | X1 = X2 ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6853]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_982,plain,
% 10.22/10.43 ( ~ hBOOL(hAPP(X0,X1))
% 10.22/10.43 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,X2))
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4146_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6847,plain,
% 10.22/10.43 ( ~ hBOOL(hAPP(X0,X1))
% 10.22/10.43 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,X2))
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X2),tc_nat) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_982]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6848,plain,
% 10.22/10.43 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X1,X2),tc_nat)
% 10.22/10.43 | hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X1,X0))
% 10.22/10.43 | ~ hBOOL(hAPP(X1,X2)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6847]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_981,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat)
% 10.22/10.43 | ~ hBOOL(hAPP(X0,X2)) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4146_3) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6845,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X2,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),tc_nat)
% 10.22/10.43 | ~ hBOOL(hAPP(X0,X2)) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_981]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6846,plain,
% 10.22/10.43 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X1,X2),tc_nat)
% 10.22/10.43 | hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X1,X2))
% 10.22/10.43 | ~ hBOOL(hAPP(X1,X0)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6845]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_909,plain,
% 10.22/10.43 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 10.22/10.43 | ~ c_lessequals(X3,X1,X0) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4179_1) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6701,plain,
% 10.22/10.43 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 10.22/10.43 | ~ c_lessequals(X3,X1,X0) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_909]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6702,plain,
% 10.22/10.43 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.43 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6701]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_907,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 10.22/10.43 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4179_3) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6697,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 10.22/10.43 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_907]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6698,plain,
% 10.22/10.43 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.43 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6697]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_901,plain,
% 10.22/10.43 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.43 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4181_1) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6685,plain,
% 10.22/10.43 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.43 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_901]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6686,plain,
% 10.22/10.43 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.43 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6685]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_899,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.43 | ~ class_Orderings_Oorder(X2) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4181_3) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6681,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.43 | ~ class_Orderings_Oorder(X2) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_899]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6682,plain,
% 10.22/10.43 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.43 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6681]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_861,plain,
% 10.22/10.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4195_1) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6605,plain,
% 10.22/10.43 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | c_HOL_Oord__class_Oless(c_Suc(X2),X1,tc_nat)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_861]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6606,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6605]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_821,plain,
% 10.22/10.43 ( c_lessequals(X0,X1,X2)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.43 | ~ c_lessequals(X1,X0,X2)
% 10.22/10.43 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4222_3) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6525,plain,
% 10.22/10.43 ( c_lessequals(X0,X1,X2)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.43 | ~ c_lessequals(X1,X0,X2)
% 10.22/10.43 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_821]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6526,plain,
% 10.22/10.43 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.43 | c_lessequals(X1,X2,X0)
% 10.22/10.43 | ~ c_lessequals(X2,X1,X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6525]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_809,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4227_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6501,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_809]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6502,plain,
% 10.22/10.43 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0))))
% 10.22/10.43 | hBOOL(hAPP(X0,X1)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6501]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_806,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0)))) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4228_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6495,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0)))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_806]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6496,plain,
% 10.22/10.43 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xreplicate__Xinduct__1(X0))))
% 10.22/10.43 | hBOOL(hAPP(X0,X1)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6495]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_803,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4229_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6489,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0)))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_803]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6490,plain,
% 10.22/10.43 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__List__Xupt__Xinduct__1(X0))))
% 10.22/10.43 | hBOOL(hAPP(X0,X1)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6489]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_800,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0)))) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4230_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6483,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0)))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_800]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6484,plain,
% 10.22/10.43 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinducts__1(X0))))
% 10.22/10.43 | hBOOL(hAPP(X0,X1)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6483]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_797,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4231_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6477,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0)))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_797]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6478,plain,
% 10.22/10.43 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_Suc(v_sko__Nat__Xnat__Xinduct__1(X0))))
% 10.22/10.43 | hBOOL(hAPP(X0,X1)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6477]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_795,plain,
% 10.22/10.43 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 10.22/10.43 | X2 = X1 ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4232_1) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6473,plain,
% 10.22/10.43 ( hBOOL(hAPP(hAPP(X0,X1),X2))
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X2,tc_nat)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 10.22/10.43 | X2 = X1 ),
% 10.22/10.43 inference(copy,[status(esa)],[c_795]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6474,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 10.22/10.43 | hBOOL(hAPP(hAPP(X2,X0),X1))
% 10.22/10.43 | X1 = X0 ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6473]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_793,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | X0 = X1
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 10.22/10.43 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4232_3) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6469,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | X0 = X1
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 10.22/10.43 | hBOOL(hAPP(hAPP(X2,X1),X0)) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_793]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6470,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 10.22/10.43 | hBOOL(hAPP(hAPP(X2,X1),X0))
% 10.22/10.43 | X0 = X1 ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6469]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_735,plain,
% 10.22/10.43 ( X0 = X1
% 10.22/10.43 | ~ c_lessequals(X1,X0,tc_nat)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4251_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6353,plain,
% 10.22/10.43 ( X0 = X1
% 10.22/10.43 | ~ c_lessequals(X1,X0,tc_nat)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_735]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6354,plain,
% 10.22/10.43 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat)
% 10.22/10.43 | X1 = X0 ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6353]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_725,plain,
% 10.22/10.43 ( X0 = X1
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4255_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6333,plain,
% 10.22/10.43 ( X0 = X1
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_725]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6334,plain,
% 10.22/10.43 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.43 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.43 | X0 = X1 ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6333]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_692,plain,
% 10.22/10.43 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4270_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6267,plain,
% 10.22/10.43 ( X0 = X1 | ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_692]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6268,plain,
% 10.22/10.43 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X0 = X1 ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6267]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_674,plain,
% 10.22/10.43 ( ~ c_Lambda_Obeta(X0,X1)
% 10.22/10.43 | ~ c_Type_Otyping(X2,X0,X3)
% 10.22/10.43 | c_Type_Otyping(X2,X1,X3) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4279_0) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6231,plain,
% 10.22/10.43 ( ~ c_Lambda_Obeta(X0,X1)
% 10.22/10.43 | ~ c_Type_Otyping(X2,X0,X3)
% 10.22/10.43 | c_Type_Otyping(X2,X1,X3) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_674]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6232,plain,
% 10.22/10.43 ( ~ c_Type_Otyping(X0,X1,X2)
% 10.22/10.43 | c_Type_Otyping(X0,X3,X2)
% 10.22/10.43 | ~ c_Lambda_Obeta(X1,X3) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6231]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_669,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 10.22/10.43 | ~ hBOOL(hAPP(X0,X1)) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4280_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6221,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 10.22/10.43 | ~ hBOOL(hAPP(X0,X1)) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_669]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6222,plain,
% 10.22/10.43 ( c_lessequals(c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1),X1,tc_nat)
% 10.22/10.43 | hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,X1)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6221]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_662,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0))) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4286_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6207,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_662]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6208,plain,
% 10.22/10.43 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0)))
% 10.22/10.43 | hBOOL(hAPP(X0,X1)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6207]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_624,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 10.22/10.43 | hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4297_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6131,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 10.22/10.43 | hBOOL(hAPP(X0,X1))
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_624]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6132,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat)
% 10.22/10.43 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.43 | hBOOL(hAPP(X0,X1)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6131]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_586,plain,
% 10.22/10.43 ( c_Suc(X0) = X1
% 10.22/10.43 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4311_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6055,plain,
% 10.22/10.43 ( c_Suc(X0) = X1
% 10.22/10.43 | c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_586]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_6056,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 10.22/10.43 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | c_Suc(X0) = X1 ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_6055]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_510,plain,
% 10.22/10.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ class_Power_Opower(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Omult__zero(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4349_5) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5903,plain,
% 10.22/10.43 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ class_Power_Opower(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Omult__zero(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_510]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5904,plain,
% 10.22/10.43 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 10.22/10.43 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 10.22/10.43 | ~ class_Ring__and__Field_Omult__zero(X0)
% 10.22/10.43 | ~ class_Power_Opower(X0)
% 10.22/10.43 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5903]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_505,plain,
% 10.22/10.43 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ class_Power_Opower(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Omult__zero(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4350_4) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5893,plain,
% 10.22/10.43 ( c_Power_Opower__class_Opower(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1) != c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ class_Power_Opower(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Omult__zero(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_505]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5894,plain,
% 10.22/10.43 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 10.22/10.43 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 10.22/10.43 | ~ class_Ring__and__Field_Omult__zero(X0)
% 10.22/10.43 | ~ class_Power_Opower(X0)
% 10.22/10.43 | c_Power_Opower__class_Opower(X1,c_HOL_Ozero__class_Ozero(tc_nat),X0) != c_HOL_Ozero__class_Ozero(X0) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5893]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_504,plain,
% 10.22/10.43 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 10.22/10.43 | hBOOL(hAPP(X0,X3))
% 10.22/10.43 | hBOOL(hAPP(X0,X1)) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4351_0) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5891,plain,
% 10.22/10.43 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 10.22/10.43 | hBOOL(hAPP(X0,X3))
% 10.22/10.43 | hBOOL(hAPP(X0,X1)) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_504]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5892,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | hBOOL(hAPP(X0,X2))
% 10.22/10.43 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5891]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_501,plain,
% 10.22/10.43 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 10.22/10.43 | hBOOL(hAPP(X0,X3))
% 10.22/10.43 | hBOOL(hAPP(X0,X2)) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4352_0) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5885,plain,
% 10.22/10.43 ( c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2)
% 10.22/10.43 | hBOOL(hAPP(X0,X3))
% 10.22/10.43 | hBOOL(hAPP(X0,X2)) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_501]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5886,plain,
% 10.22/10.43 ( hBOOL(hAPP(X0,X1))
% 10.22/10.43 | hBOOL(hAPP(X0,X2))
% 10.22/10.43 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X2) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5885]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_496,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | X1 = X0
% 10.22/10.43 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4353_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5875,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | X1 = X0
% 10.22/10.43 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_496]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5876,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X1),X2,X0) = c_Lambda_OdB_OVar(X1)
% 10.22/10.43 | X1 = X0 ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5875]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_478,plain,
% 10.22/10.43 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.43 | X2 = X1
% 10.22/10.43 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4358_1) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5839,plain,
% 10.22/10.43 ( ~ class_Ring__and__Field_Oordered__idom(X0)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.43 | X2 = X1
% 10.22/10.43 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_478]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5840,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.43 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 10.22/10.43 | X1 = X0 ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5839]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_476,plain,
% 10.22/10.43 ( X0 = X1
% 10.22/10.43 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.43 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4358_3) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5835,plain,
% 10.22/10.43 ( X0 = X1
% 10.22/10.43 | c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.43 | ~ class_Ring__and__Field_Oordered__idom(X2) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_476]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5836,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.43 | ~ class_Ring__and__Field_Oordered__idom(X2)
% 10.22/10.43 | X0 = X1 ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5835]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_411,plain,
% 10.22/10.43 ( X0 = X1
% 10.22/10.43 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4389_2) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5705,plain,
% 10.22/10.43 ( X0 = X1
% 10.22/10.43 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_411]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5706,plain,
% 10.22/10.43 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.43 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 10.22/10.43 | X0 = X1 ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5705]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_359,plain,
% 10.22/10.43 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.43 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ class_Power_Opower(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Omult__zero(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4409_5) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5601,plain,
% 10.22/10.43 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.43 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.43 | ~ class_Power_Opower(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Omult__zero(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Ono__zero__divisors(X1)
% 10.22/10.43 | ~ class_Ring__and__Field_Ozero__neq__one(X1) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_359]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5602,plain,
% 10.22/10.43 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 10.22/10.43 | ~ class_Ring__and__Field_Ozero__neq__one(X0)
% 10.22/10.43 | ~ class_Ring__and__Field_Omult__zero(X0)
% 10.22/10.43 | ~ class_Power_Opower(X0)
% 10.22/10.43 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.43 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5601]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_175,plain,
% 10.22/10.43 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3722_0) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5233,plain,
% 10.22/10.43 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_175]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5234,plain,
% 10.22/10.43 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),c_Lambda_OdB_OVar(v_n____),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5233]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_170,plain,
% 10.22/10.43 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3755_0) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5226,plain,
% 10.22/10.43 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_170]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5227,plain,
% 10.22/10.43 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),hAPP(hAPP(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(v_n____)),v_a____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5226]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_157,plain,
% 10.22/10.43 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3867_0) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5209,plain,
% 10.22/10.43 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_157]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5210,plain,
% 10.22/10.43 ( c_Type_Otyping(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_a____,v_T_H_H____) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5209]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_156,plain,
% 10.22/10.43 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3868_0) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5207,plain,
% 10.22/10.43 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_i____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_156]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_5208,plain,
% 10.22/10.43 ( c_Type_Otypings(c_Type_Oshift(v_e____,v_n____,v_T____,tc_Type_Otype),v_as____,v_Ts____) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_5207]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_2197,negated_conjecture,
% 10.22/10.43 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_2778,negated_conjecture,
% 10.22/10.43 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_2197]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_2782,negated_conjecture,
% 10.22/10.43 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_2778]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_2783,negated_conjecture,
% 10.22/10.43 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_2782]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_2784,negated_conjecture,
% 10.22/10.43 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_2783]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_9277,negated_conjecture,
% 10.22/10.43 ( ~ c_Type_Otyping(c_Type_Oshift(v_e____,c_HOL_Ozero__class_Ozero(tc_nat),v_T_H_H____,tc_Type_Otype),c_Lambda_Olift(v_u____,c_HOL_Ozero__class_Ozero(tc_nat)),hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_2784]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_2195,plain,
% 10.22/10.43 ( 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))
% 10.22/10.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3676_1) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_9273,plain,
% 10.22/10.43 ( 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))
% 10.22/10.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_2195]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_9274,plain,
% 10.22/10.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.43 | 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)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_9273]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_2193,plain,
% 10.22/10.43 ( 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))
% 10.22/10.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3677_1) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_9269,plain,
% 10.22/10.43 ( 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))
% 10.22/10.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_2193]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_9270,plain,
% 10.22/10.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.43 | 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)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_9269]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_2191,plain,
% 10.22/10.43 ( 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)))
% 10.22/10.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3678_1) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_9265,plain,
% 10.22/10.43 ( 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)))
% 10.22/10.43 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X6,X7,X8,X9) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_2191]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_9266,plain,
% 10.22/10.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.43 | 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))) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_9265]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_2189,plain,
% 10.22/10.43 ( 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))
% 10.22/10.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3679_1) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_9261,plain,
% 10.22/10.43 ( 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))
% 10.22/10.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X5,X6,X7,X8,X9) ),
% 10.22/10.43 inference(copy,[status(esa)],[c_2189]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_9262,plain,
% 10.22/10.43 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.43 | 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)) ),
% 10.22/10.43 inference(rewriting,[status(thm)],[c_9261]) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_2185,plain,
% 10.22/10.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 10.22/10.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 10.22/10.43 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3681_1) ).
% 10.22/10.43
% 10.22/10.43 cnf(c_9253,plain,
% 10.22/10.43 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 10.22/10.43 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2185]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9254,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X8),X7)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X8)),X7) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9253]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2183,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3682_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9249,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X4),X3)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2183]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9250,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),hAPP(hAPP(X2,X8),X7)) = hAPP(hAPP(X2,hAPP(hAPP(X1,X6),X8)),X7) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9249]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2181,plain,
% 10.22/10.44 ( 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))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3683_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9245,plain,
% 10.22/10.44 ( 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))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X5,X0,X1,X6,X7,X8) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2181]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9246,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | 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)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9245]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2179,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3684_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9241,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X3) = hAPP(hAPP(X1,hAPP(hAPP(X0,X2),X4)),X3)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X4,X7) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2179]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9242,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),X7) = hAPP(hAPP(X1,hAPP(hAPP(X0,X6),X4)),X7) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9241]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2177,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3685_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9237,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2177]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9238,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X8)),X7) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9237]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2175,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3686_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9233,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X3)),X2)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2175]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9234,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X8)),X7) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9233]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2173,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3687_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9229,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),hAPP(hAPP(X1,X2),X4)) = hAPP(hAPP(X1,X2),hAPP(hAPP(X0,X3),X4))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X5,X6,X7,X8) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2173]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9230,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X0,hAPP(hAPP(X1,X6),X7)),hAPP(hAPP(X1,X6),X8)) = hAPP(hAPP(X1,X6),hAPP(hAPP(X0,X7),X8)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9229]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2171,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3688_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9225,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X4,X5,X0,X6,X7,X8) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2171]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9226,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X2,hAPP(hAPP(X2,X6),X7)),X8) = hAPP(hAPP(X2,X6),c_HOL_Otimes__class_Otimes(X7,X8,tc_nat)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9225]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2169,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3689_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9221,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X3),X1)) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X4)),X1)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X5,X6,X4,X7) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2169]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9222,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X0,X6),hAPP(hAPP(X1,X7),X6)) = hAPP(hAPP(X1,hAPP(hAPP(X0,X7),X4)),X6) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9221]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2159,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3694_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9201,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2159]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9202,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X0,hAPP(hAPP(X0,X6),X7)),X8) = hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9201]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2157,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3695_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9197,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X0,X1),X2)),X3) = hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2157]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9198,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X1,hAPP(hAPP(X1,X6),X7)),X8) = hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9197]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2155,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3696_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9193,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,hAPP(hAPP(X1,X2),X3)),X2) = hAPP(hAPP(X1,X2),c_Suc(X3))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X1,X5,X6,X7) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2155]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9194,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X1,hAPP(hAPP(X2,X6),X7)),X6) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9193]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2153,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3697_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9189,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X1) = hAPP(hAPP(X2,hAPP(hAPP(X0,X3),X3)),X1)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X2,X4,X5,X3,X6) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2153]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9190,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X0,X6),X6) = hAPP(hAPP(X1,hAPP(hAPP(X0,X4),X4)),X6) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9189]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2151,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3698_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9185,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X5,X6,X7,X8) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2151]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9186,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X1,X6),hAPP(hAPP(X1,X7),X8)) = hAPP(hAPP(X1,X7),hAPP(hAPP(X1,X6),X8)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9185]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2149,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3699_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9181,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X0,X2),X3)) = hAPP(hAPP(X0,X2),hAPP(hAPP(X0,X1),X3))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X4,X5,X6,X7,X8) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2149]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9182,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X0,X6),hAPP(hAPP(X0,X7),X8)) = hAPP(hAPP(X0,X7),hAPP(hAPP(X0,X6),X8)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9181]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2143,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3702_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9169,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),hAPP(hAPP(X2,X1),X3)) = hAPP(hAPP(X2,X1),c_Suc(X3))
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X4,X0,X2,X5,X6,X7) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2143]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9170,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X1,X6),hAPP(hAPP(X2,X6),X7)) = hAPP(hAPP(X2,X6),c_Suc(X7)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9169]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2137,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3705_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9157,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X5,X6,X7) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2137]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9158,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X0,X6),X7) = hAPP(hAPP(X0,X7),X6) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9157]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2135,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3706_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9153,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = hAPP(hAPP(X0,X2),X1)
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X6,X7) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2135]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9154,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X1,X6),X7) = hAPP(hAPP(X1,X7),X6) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9153]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2133,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3707_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9149,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),c_HOL_Ozero__class_Ozero(tc_nat)) = X2
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X3,X4,X0,X5,X2,X6) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2133]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9150,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X2,X6),c_HOL_Ozero__class_Ozero(tc_nat)) = X4 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9149]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2129,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = X1
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3709_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9141,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = X1
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X2,X5,X6) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2129]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9142,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X0,X6),X3) = X6 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9141]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2125,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = X2
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3711_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9133,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = X2
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X2,X5,X6) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2125]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9134,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X1,X6),X3) = X3 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9133]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2121,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = X1
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3713_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9125,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = X1
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X2,X6) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2121]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9126,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X1,X6),X4) = X6 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9125]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2119,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = X2
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3714_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9121,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = X2
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X0,X3,X4,X1,X5,X6) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2119]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9122,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X0,X3),X6) = X6 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9121]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2117,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = X1
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3715_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9117,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = X1
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X1,X5,X6) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2117]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9118,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X1,X3),X6) = X3 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9117]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2115,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = X2
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3716_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9113,plain,
% 10.22/10.44 ( hAPP(hAPP(X0,X1),X2) = X2
% 10.22/10.44 | ~ c_Groebner__Basis_Ogb__semiring(X3,X0,X4,X5,X1,X6) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2115]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9114,plain,
% 10.22/10.44 ( ~ c_Groebner__Basis_Ogb__semiring(X0,X1,X2,X3,X4,X5)
% 10.22/10.44 | hAPP(hAPP(X1,X4),X6) = X6 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9113]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2113,plain,
% 10.22/10.44 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 10.22/10.44 | X4 = X3
% 10.22/10.44 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3717_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9109,plain,
% 10.22/10.44 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 10.22/10.44 | X4 = X3
% 10.22/10.44 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2113]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9110,plain,
% 10.22/10.44 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 10.22/10.44 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,c_Lambda_OdB_OVar(X1),X2,tc_Lambda_OdB,tc_Lambda_OdB),X4)
% 10.22/10.44 | X4 = X3 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9109]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2110,plain,
% 10.22/10.44 ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 10.22/10.44 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3718_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9103,plain,
% 10.22/10.44 ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 10.22/10.44 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2110]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9104,plain,
% 10.22/10.44 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 10.22/10.44 | c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9103]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2108,plain,
% 10.22/10.44 ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 10.22/10.44 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3719_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9099,plain,
% 10.22/10.44 ( c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X1,X3),X2,tc_Type_Otype,tc_Type_Otype))
% 10.22/10.44 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X3,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2108]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9100,plain,
% 10.22/10.44 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 10.22/10.44 | c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2),X3,tc_Type_Otype,tc_Type_Otype)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9099]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2105,plain,
% 10.22/10.44 ( 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))
% 10.22/10.44 | ~ 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))
% 10.22/10.44 | ~ c_InductTermi_OIT(X1) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3720_2) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9093,plain,
% 10.22/10.44 ( 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))
% 10.22/10.44 | ~ 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))
% 10.22/10.44 | ~ c_InductTermi_OIT(X1) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2105]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2102,plain,
% 10.22/10.44 ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 10.22/10.44 | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 10.22/10.44 | ~ c_Type_Otypings(X0,X2,X4) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3721_2) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9087,plain,
% 10.22/10.44 ( c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 10.22/10.44 | ~ c_Type_Otyping(X0,X1,c_List_Ofoldr(c_Type_Otype_OFun,X4,X3,tc_Type_Otype,tc_Type_Otype))
% 10.22/10.44 | ~ c_Type_Otypings(X0,X2,X4) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2102]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2100,plain,
% 10.22/10.44 ( 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))
% 10.22/10.44 | ~ c_Lambda_Obeta(X0,X2) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3726_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9083,plain,
% 10.22/10.44 ( 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))
% 10.22/10.44 | ~ c_Lambda_Obeta(X0,X2) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2100]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2098,plain,
% 10.22/10.44 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 10.22/10.44 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3727_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9079,plain,
% 10.22/10.44 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeD__1__1(X2,X0,X3,X1))
% 10.22/10.44 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2098]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9080,plain,
% 10.22/10.44 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 10.22/10.44 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeD__1__1(X3,X0,X1,X2)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9079]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2096,plain,
% 10.22/10.44 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 10.22/10.44 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3728_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9075,plain,
% 10.22/10.44 ( c_Type_Otypings(X0,X1,c_Type_Osko__Type__Xlist__app__typeE__1__1(X2,X0,X3,X1))
% 10.22/10.44 | ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X3,X1,tc_Lambda_OdB,tc_Lambda_OdB),X2) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2096]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9076,plain,
% 10.22/10.44 ( ~ c_Type_Otyping(X0,c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB),X3)
% 10.22/10.44 | c_Type_Otypings(X0,X2,c_Type_Osko__Type__Xlist__app__typeE__1__1(X3,X0,X1,X2)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9075]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2094,plain,
% 10.22/10.44 ( X0 = X1
% 10.22/10.44 | 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) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3729_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9071,plain,
% 10.22/10.44 ( X0 = X1
% 10.22/10.44 | 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) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2094]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9072,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | X0 = X2 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9071]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2092,plain,
% 10.22/10.44 ( X0 = X1
% 10.22/10.44 | 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) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3730_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9067,plain,
% 10.22/10.44 ( X0 = X1
% 10.22/10.44 | 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) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2092]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9068,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | X1 = X3 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9067]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2090,plain,
% 10.22/10.44 ( X0 = X1
% 10.22/10.44 | 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) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3731_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9063,plain,
% 10.22/10.44 ( X0 = X1
% 10.22/10.44 | 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) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2090]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9064,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | X0 = X2 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9063]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2088,plain,
% 10.22/10.44 ( X0 = X1
% 10.22/10.44 | 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) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3732_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9059,plain,
% 10.22/10.44 ( X0 = X1
% 10.22/10.44 | 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) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2088]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9060,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | X1 = X3 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9059]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2086,plain,
% 10.22/10.44 ( 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))
% 10.22/10.44 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3733_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9055,plain,
% 10.22/10.44 ( 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))
% 10.22/10.44 | ~ class_OrderedGroup_Osemigroup__add(X0) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2086]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9056,plain,
% 10.22/10.44 ( ~ class_OrderedGroup_Osemigroup__add(X0)
% 10.22/10.44 | 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)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9055]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2084,plain,
% 10.22/10.44 ( X0 = X1
% 10.22/10.44 | 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) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3735_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9051,plain,
% 10.22/10.44 ( X0 = X1
% 10.22/10.44 | 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) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2084]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9052,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | X0 = X2 ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9051]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2082,plain,
% 10.22/10.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 10.22/10.44 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3737_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9047,plain,
% 10.22/10.44 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0)
% 10.22/10.44 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2082]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9048,plain,
% 10.22/10.44 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 10.22/10.44 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X2,c_HOL_Ozero__class_Ozero(X0),X0,X0)) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9047]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2080,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3738_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9043,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2080]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9044,plain,
% 10.22/10.44 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 10.22/10.44 | 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) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9043]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2074,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ 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)
% 10.22/10.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3740_2) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9031,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ 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)
% 10.22/10.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2074]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2068,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ 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)
% 10.22/10.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3742_2) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9019,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ 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)
% 10.22/10.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2068]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2062,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ c_lessequals(X3,X0,tc_nat)
% 10.22/10.44 | ~ 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) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3744_2) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9007,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ c_lessequals(X3,X0,tc_nat)
% 10.22/10.44 | ~ 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) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2062]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_9008,plain,
% 10.22/10.44 ( ~ 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)
% 10.22/10.44 | 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)
% 10.22/10.44 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_9007]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2053,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ 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)
% 10.22/10.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3747_2) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8989,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ 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)
% 10.22/10.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2053]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2047,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ 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)
% 10.22/10.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3749_2) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8977,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ 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)
% 10.22/10.44 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2047]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2041,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ c_lessequals(X2,X1,tc_nat)
% 10.22/10.44 | ~ 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) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3751_2) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8965,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ c_lessequals(X2,X1,tc_nat)
% 10.22/10.44 | ~ 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) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2041]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8966,plain,
% 10.22/10.44 ( ~ 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)
% 10.22/10.44 | 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)
% 10.22/10.44 | ~ c_lessequals(X0,X3,tc_nat) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_8965]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2030,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ c_lessequals(X3,X0,tc_nat) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3757_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8943,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ c_lessequals(X3,X0,tc_nat) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2030]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8944,plain,
% 10.22/10.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.44 | 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) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_8943]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2028,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ c_lessequals(X0,X3,tc_nat) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3758_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8939,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ c_lessequals(X0,X3,tc_nat) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2028]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8940,plain,
% 10.22/10.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.44 | 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) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_8939]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2026,plain,
% 10.22/10.44 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0)
% 10.22/10.44 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3759_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8935,plain,
% 10.22/10.44 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0)
% 10.22/10.44 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2026]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8936,plain,
% 10.22/10.44 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 10.22/10.44 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_8935]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2024,plain,
% 10.22/10.44 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0)
% 10.22/10.44 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3760_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8931,plain,
% 10.22/10.44 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0)
% 10.22/10.44 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2024]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8932,plain,
% 10.22/10.44 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 10.22/10.44 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,X2,X0,X0) = c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),X2,X1,X0,X0) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_8931]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2022,plain,
% 10.22/10.44 ( c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3)),X2))
% 10.22/10.44 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3762_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8927,plain,
% 10.22/10.44 ( c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X1,X3)),X2))
% 10.22/10.44 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3),X2) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2022]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8928,plain,
% 10.22/10.44 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 10.22/10.44 | c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)),X3)) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_8927]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2018,plain,
% 10.22/10.44 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 10.22/10.44 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),t_a))) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3764_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8919,plain,
% 10.22/10.44 ( hBOOL(hAPP(X0,hAPP(hAPP(X1,X2),X3)))
% 10.22/10.44 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X4,X1,hAPP(hAPP(c_Type_Otype_OFun,X2),X3),t_a))) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2018]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2014,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3768_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8911,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2014]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8912,plain,
% 10.22/10.44 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.44 | 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) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_8911]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2010,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ class_Ring__and__Field_Oring(X0) ),
% 10.22/10.44 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3770_1) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8903,plain,
% 10.22/10.44 ( 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)
% 10.22/10.44 | ~ class_Ring__and__Field_Oring(X0) ),
% 10.22/10.44 inference(copy,[status(esa)],[c_2010]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_8904,plain,
% 10.22/10.44 ( ~ class_Ring__and__Field_Oring(X0)
% 10.22/10.44 | 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) ),
% 10.22/10.44 inference(rewriting,[status(thm)],[c_8903]) ).
% 10.22/10.44
% 10.22/10.44 cnf(c_2008,plain,
% 10.22/10.44 ( X0 = c_Lambda_OdB_OAbs(X1)
% 10.22/10.45 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3771_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8899,plain,
% 10.22/10.45 ( X0 = c_Lambda_OdB_OAbs(X1)
% 10.22/10.45 | c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X2,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X1) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_2008]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8900,plain,
% 10.22/10.45 ( c_List_Ofoldl(c_Lambda_OdB_OApp,X0,X1,tc_Lambda_OdB,tc_Lambda_OdB) != c_Lambda_OdB_OAbs(X2)
% 10.22/10.45 | X0 = c_Lambda_OdB_OAbs(X2) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8899]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_2006,plain,
% 10.22/10.45 ( c_Lambda_OdB_OVar(X0) = X1
% 10.22/10.45 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3772_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8895,plain,
% 10.22/10.45 ( c_Lambda_OdB_OVar(X0) = X1
% 10.22/10.45 | c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_2006]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8896,plain,
% 10.22/10.45 ( c_Lambda_OdB_OVar(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 10.22/10.45 | c_Lambda_OdB_OVar(X0) = X1 ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8895]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_2004,plain,
% 10.22/10.45 ( c_Lambda_OdB_OAbs(X0) = X1
% 10.22/10.45 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3773_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8891,plain,
% 10.22/10.45 ( c_Lambda_OdB_OAbs(X0) = X1
% 10.22/10.45 | c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_2004]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8892,plain,
% 10.22/10.45 ( c_Lambda_OdB_OAbs(X0) != c_List_Ofoldl(c_Lambda_OdB_OApp,X1,X2,tc_Lambda_OdB,tc_Lambda_OdB)
% 10.22/10.45 | c_Lambda_OdB_OAbs(X0) = X1 ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8891]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_2000,plain,
% 10.22/10.45 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 10.22/10.45 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3775_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8883,plain,
% 10.22/10.45 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 10.22/10.45 | ~ hBOOL(hAPP(X0,c_Type_Otype_Otype__case(X1,X3,c_Type_Otype_OAtom(X2),t_a))) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_2000]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1996,plain,
% 10.22/10.45 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 10.22/10.45 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3777_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8875,plain,
% 10.22/10.45 ( hBOOL(hAPP(X0,hAPP(X1,X2)))
% 10.22/10.45 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X3,X1,c_Suc(X2),t_a))) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1996]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1994,plain,
% 10.22/10.45 ( hBOOL(hAPP(X0,X1))
% 10.22/10.45 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3778_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8871,plain,
% 10.22/10.45 ( hBOOL(hAPP(X0,X1))
% 10.22/10.45 | ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a))) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1994]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8872,plain,
% 10.22/10.45 ( ~ hBOOL(hAPP(X0,c_Nat_Onat_Onat__case(X1,X2,c_HOL_Ozero__class_Ozero(tc_nat),t_a)))
% 10.22/10.45 | hBOOL(hAPP(X0,X1)) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8871]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1985,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oring(X1) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3781_2) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8853,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oring(X1) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1985]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8854,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oring(X0)
% 10.22/10.45 | 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)
% 10.22/10.45 | 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) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8853]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1982,plain,
% 10.22/10.45 ( 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
% 10.22/10.45 | 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oring(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3782_2) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8847,plain,
% 10.22/10.45 ( 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
% 10.22/10.45 | 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oring(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1982]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8848,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oring(X0)
% 10.22/10.45 | 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
% 10.22/10.45 | 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) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8847]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1980,plain,
% 10.22/10.45 ( ~ 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3783_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8843,plain,
% 10.22/10.45 ( ~ 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1980]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1978,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3785_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8839,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Osemiring(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1978]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8840,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Osemiring(X0)
% 10.22/10.45 | 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) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8839]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1970,plain,
% 10.22/10.45 ( ~ 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3789_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8823,plain,
% 10.22/10.45 ( ~ 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1970]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1968,plain,
% 10.22/10.45 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0)
% 10.22/10.45 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3790_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8819,plain,
% 10.22/10.45 ( c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0)
% 10.22/10.45 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1968]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8820,plain,
% 10.22/10.45 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 10.22/10.45 | c_List_Ofoldr(c_HOL_Oplus__class_Oplus(X0),X1,c_HOL_Ozero__class_Ozero(X0),X0,X0) = c_List_Olistsum(X1,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8819]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1966,plain,
% 10.22/10.45 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 10.22/10.45 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3791_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8815,plain,
% 10.22/10.45 ( c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0)
% 10.22/10.45 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1966]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8816,plain,
% 10.22/10.45 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 10.22/10.45 | c_List_Ofoldl(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0),X1,X0,X0) = c_List_Olistsum(X1,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8815]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1960,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oidom(X0)
% 10.22/10.45 | ~ class_Int_Onumber__ring(X0)
% 10.22/10.45 | 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))
% 10.22/10.45 | X2 = X4
% 10.22/10.45 | X1 = X3 ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3795_0) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8803,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oidom(X0)
% 10.22/10.45 | ~ class_Int_Onumber__ring(X0)
% 10.22/10.45 | 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))
% 10.22/10.45 | X2 = X4
% 10.22/10.45 | X1 = X3 ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1960]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1956,plain,
% 10.22/10.45 ( X0 = X1
% 10.22/10.45 | X2 = X3
% 10.22/10.45 | 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))
% 10.22/10.45 | ~ class_Int_Onumber__ring(X4)
% 10.22/10.45 | ~ class_Ring__and__Field_Oidom(X4) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3795_4) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8795,plain,
% 10.22/10.45 ( X0 = X1
% 10.22/10.45 | X2 = X3
% 10.22/10.45 | 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))
% 10.22/10.45 | ~ class_Int_Onumber__ring(X4)
% 10.22/10.45 | ~ class_Ring__and__Field_Oidom(X4) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1956]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8796,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oidom(X0)
% 10.22/10.45 | ~ class_Int_Onumber__ring(X0)
% 10.22/10.45 | 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))
% 10.22/10.45 | X1 = X3
% 10.22/10.45 | X2 = X4 ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8795]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1952,plain,
% 10.22/10.45 ( 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))
% 10.22/10.45 | X1 = X3
% 10.22/10.45 | X0 = X2 ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3797_0) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8787,plain,
% 10.22/10.45 ( 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))
% 10.22/10.45 | X1 = X3
% 10.22/10.45 | X0 = X2 ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1952]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1950,plain,
% 10.22/10.45 ( X0 = X1
% 10.22/10.45 | X2 = X3
% 10.22/10.45 | 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)) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3797_2) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8783,plain,
% 10.22/10.45 ( X0 = X1
% 10.22/10.45 | X2 = X3
% 10.22/10.45 | 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)) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1950]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8784,plain,
% 10.22/10.45 ( 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))
% 10.22/10.45 | X0 = X2
% 10.22/10.45 | X1 = X3 ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8783]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1933,plain,
% 10.22/10.45 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 10.22/10.45 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3801_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8749,plain,
% 10.22/10.45 ( c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),hAPP(hAPP(c_Type_Otype_OFun,X2),X3))
% 10.22/10.45 | ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_Type_Otype),X1,X3) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1933]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8750,plain,
% 10.22/10.45 ( ~ c_Type_Otyping(c_Type_Oshift(X0,c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_Type_Otype),X2,X3)
% 10.22/10.45 | c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),hAPP(hAPP(c_Type_Otype_OFun,X1),X3)) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8749]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1929,plain,
% 10.22/10.45 ( hBOOL(hAPP(X0,X1))
% 10.22/10.45 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3803_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8741,plain,
% 10.22/10.45 ( hBOOL(hAPP(X0,X1))
% 10.22/10.45 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),X2,tc_nat))) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1929]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8742,plain,
% 10.22/10.45 ( ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),X1,tc_nat)))
% 10.22/10.45 | hBOOL(hAPP(X0,X2)) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8741]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1927,plain,
% 10.22/10.45 ( 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))
% 10.22/10.45 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3804_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8737,plain,
% 10.22/10.45 ( 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))
% 10.22/10.45 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X2),X1) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1927]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1925,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3805_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8733,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1925]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1923,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3806_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8729,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1923]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8730,plain,
% 10.22/10.45 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.45 | 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) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8729]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1921,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3807_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8725,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1921]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8726,plain,
% 10.22/10.45 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.45 | 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) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8725]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1913,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3810_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8709,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1913]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1907,plain,
% 10.22/10.45 ( 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))
% 10.22/10.45 | ~ class_Int_Onumber__ring(X0)
% 10.22/10.45 | ~ class_Ring__and__Field_Oidom(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3813_2) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8697,plain,
% 10.22/10.45 ( 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))
% 10.22/10.45 | ~ class_Int_Onumber__ring(X0)
% 10.22/10.45 | ~ class_Ring__and__Field_Oidom(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1907]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8698,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oidom(X0)
% 10.22/10.45 | ~ class_Int_Onumber__ring(X0)
% 10.22/10.45 | 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)) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8697]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1905,plain,
% 10.22/10.45 ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 10.22/10.45 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3814_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8693,plain,
% 10.22/10.45 ( c_Type_Otyping(X0,X1,c_Type_Osko__Type__Xtyping__elims__2__1(X2,X0,X3,X1))
% 10.22/10.45 | ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1),X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1905]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8694,plain,
% 10.22/10.45 ( ~ c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 10.22/10.45 | c_Type_Otyping(X0,X2,c_Type_Osko__Type__Xtyping__elims__2__1(X3,X0,X1,X2)) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8693]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1903,plain,
% 10.22/10.45 ( 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))
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3815_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8689,plain,
% 10.22/10.45 ( 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))
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1903]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8690,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.45 | 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)) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8689]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1901,plain,
% 10.22/10.45 ( 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))
% 10.22/10.45 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3816_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8685,plain,
% 10.22/10.45 ( 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))
% 10.22/10.45 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1901]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1899,plain,
% 10.22/10.45 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 10.22/10.45 | ~ c_Type_Otyping(X0,X3,X4) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3819_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8681,plain,
% 10.22/10.45 ( c_Type_Otyping(c_Type_Oshift(X0,X1,X2,tc_Type_Otype),c_Lambda_Olift(X3,X1),X4)
% 10.22/10.45 | ~ c_Type_Otyping(X0,X3,X4) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1899]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1897,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3820_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8677,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1897]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8678,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.45 | 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) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8677]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1895,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3821_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8673,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1895]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8674,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.45 | 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) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8673]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1891,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3823_3) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8665,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X1,X4,X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1891]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8666,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.45 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8665]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1885,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 10.22/10.45 | ~ c_lessequals(X2,X3,X0)
% 10.22/10.45 | ~ c_lessequals(X1,X4,X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3824_3) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8653,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 10.22/10.45 | ~ c_lessequals(X2,X3,X0)
% 10.22/10.45 | ~ c_lessequals(X1,X4,X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1885]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8654,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 10.22/10.45 | ~ c_lessequals(X2,X3,X0)
% 10.22/10.45 | ~ c_lessequals(X1,X4,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8653]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1879,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 10.22/10.45 | ~ c_lessequals(X2,X3,X0)
% 10.22/10.45 | ~ c_lessequals(X1,X4,X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3825_3) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8641,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X4,X0),X0)
% 10.22/10.45 | ~ c_lessequals(X2,X3,X0)
% 10.22/10.45 | ~ c_lessequals(X1,X4,X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X3,X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1879]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8642,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Opordered__semiring(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.45 | c_lessequals(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 10.22/10.45 | ~ c_lessequals(X3,X2,X0)
% 10.22/10.45 | ~ c_lessequals(X1,X4,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8641]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1859,plain,
% 10.22/10.45 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3828_5) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8601,plain,
% 10.22/10.45 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X4,X2),X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X1,X4,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1859]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8602,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.45 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X1,X0),c_HOL_Otimes__class_Otimes(X2,X4,X0),X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X1,X4,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8601]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1854,plain,
% 10.22/10.45 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 10.22/10.45 | ~ c_lessequals(X1,X2,tc_nat)
% 10.22/10.45 | ~ c_lessequals(X1,X0,tc_nat)
% 10.22/10.45 | c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3830_0) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8591,plain,
% 10.22/10.45 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 10.22/10.45 | ~ c_lessequals(X1,X2,tc_nat)
% 10.22/10.45 | ~ c_lessequals(X1,X0,tc_nat)
% 10.22/10.45 | c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1854]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1853,plain,
% 10.22/10.45 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 10.22/10.45 | ~ c_lessequals(X1,X2,tc_nat)
% 10.22/10.45 | c_lessequals(X0,X2,tc_nat)
% 10.22/10.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3830_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8589,plain,
% 10.22/10.45 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 10.22/10.45 | ~ c_lessequals(X1,X2,tc_nat)
% 10.22/10.45 | c_lessequals(X0,X2,tc_nat)
% 10.22/10.45 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1853]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1851,plain,
% 10.22/10.45 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.45 | ~ c_lessequals(X2,X0,tc_nat)
% 10.22/10.45 | ~ c_lessequals(X2,X1,tc_nat)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3830_3) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8585,plain,
% 10.22/10.45 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.45 | ~ c_lessequals(X2,X0,tc_nat)
% 10.22/10.45 | ~ c_lessequals(X2,X1,tc_nat)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1851]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8586,plain,
% 10.22/10.45 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 10.22/10.45 | c_lessequals(X0,X2,tc_nat)
% 10.22/10.45 | ~ c_lessequals(X1,X0,tc_nat)
% 10.22/10.45 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8585]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1847,plain,
% 10.22/10.45 ( c_lessequals(X0,X1,X2)
% 10.22/10.45 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3831_3) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8577,plain,
% 10.22/10.45 ( c_lessequals(X0,X1,X2)
% 10.22/10.45 | ~ c_lessequals(c_Power_Opower__class_Opower(X0,c_Suc(X3),X2),c_Power_Opower__class_Opower(X1,c_Suc(X3),X2),X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1847]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8578,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | ~ c_lessequals(c_Power_Opower__class_Opower(X2,c_Suc(X3),X0),c_Power_Opower__class_Opower(X1,c_Suc(X3),X0),X0)
% 10.22/10.45 | c_lessequals(X2,X1,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8577]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1845,plain,
% 10.22/10.45 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3832_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8573,plain,
% 10.22/10.45 ( hAPP(c_Type_Oshift(X0,X1,X2,X3),X4) = hAPP(X0,X4)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(X4,X1,tc_nat) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1845]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8574,plain,
% 10.22/10.45 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.45 | hAPP(c_Type_Oshift(X2,X1,X3,X4),X0) = hAPP(X2,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8573]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1842,plain,
% 10.22/10.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.45 | 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3833_2) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8567,plain,
% 10.22/10.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.45 | 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1842]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8568,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.45 | 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)
% 10.22/10.45 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8567]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1839,plain,
% 10.22/10.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.45 | 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3834_2) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8561,plain,
% 10.22/10.45 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.45 | 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1839]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8562,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.45 | 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)
% 10.22/10.45 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8561]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1811,plain,
% 10.22/10.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3841_3) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8505,plain,
% 10.22/10.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X0,X3,X2),c_Power_Opower__class_Opower(X1,X3,X2),X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1811]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8506,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_Power_Opower__class_Opower(X2,X3,X0),c_Power_Opower__class_Opower(X1,X3,X0),X0)
% 10.22/10.45 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8505]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1807,plain,
% 10.22/10.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3842_3) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8497,plain,
% 10.22/10.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1807]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8498,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 10.22/10.45 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8497]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1803,plain,
% 10.22/10.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3843_3) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8489,plain,
% 10.22/10.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semiring(X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1803]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8490,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oordered__semiring(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 10.22/10.45 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8489]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1799,plain,
% 10.22/10.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3844_3) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8481,plain,
% 10.22/10.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X3,X0,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1799]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8482,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 10.22/10.45 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8481]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1795,plain,
% 10.22/10.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3845_3) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8473,plain,
% 10.22/10.45 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X3,X2),c_HOL_Otimes__class_Otimes(X1,X3,X2),X2)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X3,X2)
% 10.22/10.45 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1795]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8474,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 10.22/10.45 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8473]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1786,plain,
% 10.22/10.45 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3848_2) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8455,plain,
% 10.22/10.45 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.45 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1786]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8456,plain,
% 10.22/10.45 ( ~ c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 10.22/10.45 | c_lessequals(X1,X2,tc_nat)
% 10.22/10.45 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8455]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1773,plain,
% 10.22/10.45 ( X0 = X1
% 10.22/10.45 | c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3852_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8429,plain,
% 10.22/10.45 ( X0 = X1
% 10.22/10.45 | c_List_Oappend(X2,c_List_Olist_OCons(X0,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X4,c_List_Olist_OCons(X1,c_List_Olist_ONil(X3),X3),X3) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1773]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8430,plain,
% 10.22/10.45 ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
% 10.22/10.45 | X1 = X4 ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8429]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1771,plain,
% 10.22/10.45 ( X0 = X1
% 10.22/10.45 | c_List_Oappend(X0,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3853_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8425,plain,
% 10.22/10.45 ( X0 = X1
% 10.22/10.45 | c_List_Oappend(X0,c_List_Olist_OCons(X2,c_List_Olist_ONil(X3),X3),X3) != c_List_Oappend(X1,c_List_Olist_OCons(X4,c_List_Olist_ONil(X3),X3),X3) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1771]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8426,plain,
% 10.22/10.45 ( c_List_Oappend(X0,c_List_Olist_OCons(X1,c_List_Olist_ONil(X2),X2),X2) != c_List_Oappend(X3,c_List_Olist_OCons(X4,c_List_Olist_ONil(X2),X2),X2)
% 10.22/10.45 | X0 = X3 ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8425]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1748,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3859_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8379,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1748]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8380,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.45 | 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) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8379]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1738,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3862_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8359,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1738]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8360,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.45 | 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) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8359]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1736,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3863_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8355,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1736]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8356,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Ocomm__semiring(X0)
% 10.22/10.45 | 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) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8355]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_1732,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.22/10.45 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3865_1) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8347,plain,
% 10.22/10.45 ( 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)
% 10.22/10.45 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.22/10.45 inference(copy,[status(esa)],[c_1732]) ).
% 10.22/10.45
% 10.22/10.45 cnf(c_8348,plain,
% 10.22/10.45 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.45 | 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) ),
% 10.22/10.45 inference(rewriting,[status(thm)],[c_8347]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1730,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3869_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8343,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1730]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8344,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8343]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1728,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3870_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8339,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1728]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8340,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8339]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1723,plain,
% 10.22/10.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.46 | X2 = X3
% 10.22/10.46 | 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))
% 10.22/10.46 | ~ class_Int_Onumber__ring(X1)
% 10.22/10.46 | ~ class_Ring__and__Field_Oidom(X1) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3871_4) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8329,plain,
% 10.22/10.46 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.22/10.46 | X2 = X3
% 10.22/10.46 | 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))
% 10.22/10.46 | ~ class_Int_Onumber__ring(X1)
% 10.22/10.46 | ~ class_Ring__and__Field_Oidom(X1) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1723]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8330,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Oidom(X0)
% 10.22/10.46 | ~ class_Int_Onumber__ring(X0)
% 10.22/10.46 | 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))
% 10.22/10.46 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 10.22/10.46 | X3 = X4 ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8329]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1721,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3872_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8325,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1721]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8326,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8325]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1713,plain,
% 10.22/10.46 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 10.22/10.46 | ~ c_lessequals(X1,X0,tc_nat)
% 10.22/10.46 | ~ c_lessequals(X1,X2,tc_nat)
% 10.22/10.46 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3874_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8309,plain,
% 10.22/10.46 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 10.22/10.46 | ~ c_lessequals(X1,X0,tc_nat)
% 10.22/10.46 | ~ c_lessequals(X1,X2,tc_nat)
% 10.22/10.46 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1713]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1711,plain,
% 10.22/10.46 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3876_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8305,plain,
% 10.22/10.46 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1711]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8306,plain,
% 10.22/10.46 ( ~ 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)
% 10.22/10.46 | c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8305]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1709,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3877_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8301,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1709]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8302,plain,
% 10.22/10.46 ( ~ 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)
% 10.22/10.46 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8301]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1707,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3880_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8297,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1707]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8298,plain,
% 10.22/10.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8297]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1705,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3881_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8293,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1705]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8294,plain,
% 10.22/10.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8293]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1701,plain,
% 10.22/10.46 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 10.22/10.46 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 10.22/10.46 | ~ c_lessequals(X4,X3,X1)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3882_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8285,plain,
% 10.22/10.46 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 10.22/10.46 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X4),X1)
% 10.22/10.46 | ~ c_lessequals(X4,X3,X1)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X1) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1701]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1698,plain,
% 10.22/10.46 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.46 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3883_2) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8279,plain,
% 10.22/10.46 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.46 | ~ hBOOL(hAPP(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat)))
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1698]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8280,plain,
% 10.22/10.46 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.46 | hBOOL(hAPP(X2,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.46 | ~ hBOOL(hAPP(X2,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat))) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8279]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1696,plain,
% 10.22/10.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.46 | 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)
% 10.22/10.46 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3885_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8275,plain,
% 10.22/10.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.46 | 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)
% 10.22/10.46 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1696]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8276,plain,
% 10.22/10.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.46 | ~ c_lessequals(X0,X2,tc_nat)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8275]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1691,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_lessequals(X2,X0,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3887_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8265,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_lessequals(X2,X0,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1691]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8266,plain,
% 10.22/10.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8265]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1688,plain,
% 10.22/10.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.46 | X1 = X2
% 10.22/10.46 | 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)) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3888_2) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8259,plain,
% 10.22/10.46 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.46 | X1 = X2
% 10.22/10.46 | 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)) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1688]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8260,plain,
% 10.22/10.46 ( 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))
% 10.22/10.46 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.46 | X2 = X3 ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8259]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1682,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.46 | ~ 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)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3890_2) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8247,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.46 | ~ 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)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1682]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8248,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.46 | ~ 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)
% 10.22/10.46 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8247]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1679,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.46 | ~ 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)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3891_2) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8241,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.46 | ~ 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)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1679]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8242,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.46 | ~ 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)
% 10.22/10.46 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8241]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1676,plain,
% 10.22/10.46 ( c_lessequals(X0,X1,X2)
% 10.22/10.46 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3892_2) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8235,plain,
% 10.22/10.46 ( c_lessequals(X0,X1,X2)
% 10.22/10.46 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1),X2)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1676]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8236,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.46 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 10.22/10.46 | c_lessequals(X2,X3,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8235]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1673,plain,
% 10.22/10.46 ( c_lessequals(X0,X1,X2)
% 10.22/10.46 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3893_2) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8229,plain,
% 10.22/10.46 ( c_lessequals(X0,X1,X2)
% 10.22/10.46 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3),X2)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1673]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8230,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.46 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 10.22/10.46 | c_lessequals(X1,X3,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8229]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1671,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3894_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8225,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1671]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1669,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3895_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8221,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1669]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1666,plain,
% 10.22/10.46 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 10.22/10.46 | ~ c_lessequals(X2,X1,tc_nat)
% 10.22/10.46 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3896_2) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8215,plain,
% 10.22/10.46 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 10.22/10.46 | ~ c_lessequals(X2,X1,tc_nat)
% 10.22/10.46 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1666]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8216,plain,
% 10.22/10.46 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 10.22/10.46 | c_lessequals(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 10.22/10.46 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8215]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1664,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3897_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8211,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1664]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8212,plain,
% 10.22/10.46 ( ~ 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)
% 10.22/10.46 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8211]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1662,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3898_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8207,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1662]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8208,plain,
% 10.22/10.46 ( ~ 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)
% 10.22/10.46 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8207]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1652,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3900_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8187,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1652]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8188,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Oordered__comm__semiring__strict(X0)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.46 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8187]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1636,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3904_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8155,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1636]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8156,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X3,X0,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8155]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1640,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3903_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8163,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1640]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8164,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.46 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8163]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1624,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3907_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8131,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1624]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8132,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.46 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8131]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1612,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3910_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8107,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__ring__strict(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1612]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1608,plain,
% 10.22/10.46 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.46 | ~ c_lessequals(X1,X3,X2)
% 10.22/10.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3911_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8099,plain,
% 10.22/10.46 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.46 | ~ c_lessequals(X1,X3,X2)
% 10.22/10.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Omult__mono1(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1608]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8100,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Omult__mono1(X0)
% 10.22/10.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.46 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 10.22/10.46 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8099]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1604,plain,
% 10.22/10.46 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.46 | ~ c_lessequals(X1,X3,X2)
% 10.22/10.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3912_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8091,plain,
% 10.22/10.46 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X0,X3,X2),X2)
% 10.22/10.46 | ~ c_lessequals(X1,X3,X2)
% 10.22/10.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1604]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8092,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 10.22/10.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.46 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Otimes__class_Otimes(X1,X3,X0),X0)
% 10.22/10.46 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8091]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1600,plain,
% 10.22/10.46 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.46 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3913_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8083,plain,
% 10.22/10.46 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Otimes__class_Otimes(X3,X1,X2),X2)
% 10.22/10.46 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Omult__mono(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1600]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8084,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Omult__mono(X0)
% 10.22/10.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.46 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Otimes__class_Otimes(X3,X1,X0),X0)
% 10.22/10.46 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8083]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1580,plain,
% 10.22/10.46 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 10.22/10.46 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3918_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8043,plain,
% 10.22/10.46 ( c_lessequals(c_Power_Opower__class_Opower(X0,X1,X2),c_Power_Opower__class_Opower(X3,X1,X2),X2)
% 10.22/10.46 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X0,X2)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1580]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8044,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.46 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.46 | c_lessequals(c_Power_Opower__class_Opower(X1,X2,X0),c_Power_Opower__class_Opower(X3,X2,X0),X0)
% 10.22/10.46 | ~ c_lessequals(X1,X3,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8043]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1578,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3919_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8039,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1578]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8040,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Oordered__ring__strict(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8039]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1576,plain,
% 10.22/10.46 ( hAPP(hAPP(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
% 10.22/10.46 | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X0) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3920_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8035,plain,
% 10.22/10.46 ( hAPP(hAPP(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
% 10.22/10.46 | ~ c_Type_Otyping(X1,c_Lambda_OdB_OAbs(X2),X0) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1576]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8036,plain,
% 10.22/10.46 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OAbs(X1),X2)
% 10.22/10.46 | hAPP(hAPP(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 ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8035]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1572,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.46 | ~ c_lessequals(X2,X4,X0)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3922_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8027,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.46 | ~ c_lessequals(X2,X4,X0)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1572]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8028,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 10.22/10.46 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.46 | 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X3,X4,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8027]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1564,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3924_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8011,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X2,X4,X0)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1564]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8012,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 10.22/10.46 | 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X2,X4,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8011]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1560,plain,
% 10.22/10.46 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 10.22/10.46 | ~ c_lessequals(X1,X3,X0)
% 10.22/10.46 | ~ c_lessequals(X2,X4,X0)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3925_3) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8003,plain,
% 10.22/10.46 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 10.22/10.46 | ~ c_lessequals(X1,X3,X0)
% 10.22/10.46 | ~ c_lessequals(X2,X4,X0)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1560]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8004,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 10.22/10.46 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X4),X0)
% 10.22/10.46 | ~ c_lessequals(X1,X3,X0)
% 10.22/10.46 | ~ c_lessequals(X2,X4,X0) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_8003]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1558,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3926_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7999,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1558]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_8000,plain,
% 10.22/10.46 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7999]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1556,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3927_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7995,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1556]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7996,plain,
% 10.22/10.46 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7995]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1554,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3928_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7991,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1554]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7992,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7991]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1552,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3929_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7987,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_OrderedGroup_Ocomm__monoid__mult(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1552]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7988,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Ocomm__monoid__mult(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7987]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1550,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3930_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7983,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1550]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7984,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7983]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1548,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3931_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7979,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1548]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7980,plain,
% 10.22/10.46 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7979]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1546,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3932_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7975,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1546]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7976,plain,
% 10.22/10.46 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7975]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1544,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3933_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7971,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1544]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7972,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Opordered__ab__group__add(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7971]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1529,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3938_2) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7941,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1529]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7942,plain,
% 10.22/10.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.46 | 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7941]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1532,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3937_2) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7947,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1532]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7948,plain,
% 10.22/10.46 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.46 | 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7947]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1523,plain,
% 10.22/10.46 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 10.22/10.46 | ~ c_lessequals(X0,X2,tc_nat)
% 10.22/10.46 | ~ c_lessequals(X1,X3,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3940_2) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7929,plain,
% 10.22/10.46 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X3,tc_nat),tc_nat)
% 10.22/10.46 | ~ c_lessequals(X0,X2,tc_nat)
% 10.22/10.46 | ~ c_lessequals(X1,X3,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1523]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1520,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 10.22/10.46 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3941_2) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7923,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 10.22/10.46 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1520]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7924,plain,
% 10.22/10.46 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.46 | 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7923]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1517,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3942_2) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7917,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat)
% 10.22/10.46 | ~ c_HOL_Oord__class_Oless(X2,X0,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1517]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1507,plain,
% 10.22/10.46 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 10.22/10.46 | ~ c_lessequals(X2,X1,tc_nat) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3945_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7897,plain,
% 10.22/10.46 ( c_lessequals(X0,c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X2,tc_nat),tc_nat)
% 10.22/10.46 | ~ c_lessequals(X2,X1,tc_nat) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1507]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1505,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3946_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7893,plain,
% 10.22/10.46 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1505]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7894,plain,
% 10.22/10.46 ( ~ 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)
% 10.22/10.46 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7893]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1503,plain,
% 10.22/10.46 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3947_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7889,plain,
% 10.22/10.46 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.46 | ~ 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) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1503]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7890,plain,
% 10.22/10.46 ( ~ 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)
% 10.22/10.46 | c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7889]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1501,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3948_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7885,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1501]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7886,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7885]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1499,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3949_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7881,plain,
% 10.22/10.46 ( 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)
% 10.22/10.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1499]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7882,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.46 | 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) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7881]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1493,plain,
% 10.22/10.46 ( 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))
% 10.22/10.46 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3952_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7869,plain,
% 10.22/10.46 ( 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))
% 10.22/10.46 | ~ class_OrderedGroup_Oab__semigroup__add(X0) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1493]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7870,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Oab__semigroup__add(X0)
% 10.22/10.46 | 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)) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7869]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1491,plain,
% 10.22/10.46 ( 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))
% 10.22/10.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3953_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7865,plain,
% 10.22/10.46 ( 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))
% 10.22/10.46 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1491]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7866,plain,
% 10.22/10.46 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 10.22/10.46 | 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)) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7865]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1489,plain,
% 10.22/10.46 ( 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))
% 10.22/10.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.22/10.46 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3954_1) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7861,plain,
% 10.22/10.46 ( 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))
% 10.22/10.46 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.22/10.46 inference(copy,[status(esa)],[c_1489]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_7862,plain,
% 10.22/10.46 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.46 | 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)) ),
% 10.22/10.46 inference(rewriting,[status(thm)],[c_7861]) ).
% 10.22/10.46
% 10.22/10.46 cnf(c_1486,plain,
% 10.22/10.46 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 10.22/10.46 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 10.22/10.47 | ~ c_Type_Otyping(X0,X2,X4) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3959_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7855,plain,
% 10.22/10.47 ( c_Type_Otyping(X0,hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2),X3)
% 10.22/10.47 | ~ c_Type_Otyping(X0,X1,hAPP(hAPP(c_Type_Otype_OFun,X4),X3))
% 10.22/10.47 | ~ c_Type_Otyping(X0,X2,X4) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1486]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1483,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3960_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7849,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X3,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1483]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1480,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_lessequals(X0,X2,tc_nat)
% 10.22/10.47 | ~ c_lessequals(X1,X3,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3961_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7843,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_lessequals(X0,X2,tc_nat)
% 10.22/10.47 | ~ c_lessequals(X1,X3,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1480]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1456,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3967_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7795,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Otimes__class_Otimes(X1,X2,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1456]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1441,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3971_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7765,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1441]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1439,plain,
% 10.22/10.47 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3972_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7761,plain,
% 10.22/10.47 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),X1,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1439]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7762,plain,
% 10.22/10.47 ( ~ c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 10.22/10.47 | c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7761]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1436,plain,
% 10.22/10.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 10.22/10.47 | 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)
% 10.22/10.47 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3973_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7755,plain,
% 10.22/10.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = X3
% 10.22/10.47 | 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)
% 10.22/10.47 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1436]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7756,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 10.22/10.47 | 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)
% 10.22/10.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3) = X4 ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7755]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1434,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3974_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7751,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1434]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7752,plain,
% 10.22/10.47 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.47 | 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) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7751]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1432,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3975_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7747,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X1,X2,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1432]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7748,plain,
% 10.22/10.47 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X0,c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7747]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1430,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 10.22/10.47 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3976_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7743,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 10.22/10.47 | ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1),tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1430]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1426,plain,
% 10.22/10.47 ( 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))
% 10.22/10.47 | ~ c_lessequals(X2,X1,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3978_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7735,plain,
% 10.22/10.47 ( 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))
% 10.22/10.47 | ~ c_lessequals(X2,X1,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1426]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7736,plain,
% 10.22/10.47 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.47 | 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)) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7735]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1423,plain,
% 10.22/10.47 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.47 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3979_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7729,plain,
% 10.22/10.47 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.47 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1423]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1420,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3980_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7723,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1420]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1419,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3981_0) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7721,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1419]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1416,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3981_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7715,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X3,X1,X2)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1416]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7716,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7715]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1415,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3982_0) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7713,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1415]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1412,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3982_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7707,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1412]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7708,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7707]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1411,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 10.22/10.47 | c_lessequals(X2,X3,X0)
% 10.22/10.47 | c_lessequals(X1,X3,X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3983_0) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7705,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 10.22/10.47 | c_lessequals(X2,X3,X0)
% 10.22/10.47 | c_lessequals(X1,X3,X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1411]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1408,plain,
% 10.22/10.47 ( c_lessequals(X0,X1,X2)
% 10.22/10.47 | c_lessequals(X3,X1,X2)
% 10.22/10.47 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3983_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7699,plain,
% 10.22/10.47 ( c_lessequals(X0,X1,X2)
% 10.22/10.47 | c_lessequals(X3,X1,X2)
% 10.22/10.47 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X0,X3,X2),X1,X2)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1408]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7700,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | ~ c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 10.22/10.47 | c_lessequals(X1,X3,X0)
% 10.22/10.47 | c_lessequals(X2,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7699]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1407,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 10.22/10.47 | c_lessequals(X1,X3,X0)
% 10.22/10.47 | c_lessequals(X1,X2,X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3984_0) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7697,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 10.22/10.47 | c_lessequals(X1,X3,X0)
% 10.22/10.47 | c_lessequals(X1,X2,X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1407]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1404,plain,
% 10.22/10.47 ( c_lessequals(X0,X1,X2)
% 10.22/10.47 | c_lessequals(X0,X3,X2)
% 10.22/10.47 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3984_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7691,plain,
% 10.22/10.47 ( c_lessequals(X0,X1,X2)
% 10.22/10.47 | c_lessequals(X0,X3,X2)
% 10.22/10.47 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X3,X2),X2)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1404]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7692,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 10.22/10.47 | c_lessequals(X1,X2,X0)
% 10.22/10.47 | c_lessequals(X1,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7691]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1402,plain,
% 10.22/10.47 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 10.22/10.47 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3985_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7687,plain,
% 10.22/10.47 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) = X0
% 10.22/10.47 | ~ c_lessequals(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1402]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7688,plain,
% 10.22/10.47 ( ~ c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat)
% 10.22/10.47 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),X0,tc_nat) = X1 ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7687]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1400,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3986_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7683,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1400]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1398,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3987_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7679,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1398]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1394,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3988_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7671,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1394]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1386,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3990_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7655,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Opordered__ring(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1386]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1382,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3991_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7647,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1382]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1378,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3992_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7639,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1378]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1374,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3993_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7631,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1374]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7632,plain,
% 10.22/10.47 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 10.22/10.47 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7631]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1362,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.47 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3996_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7607,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.47 | ~ class_Ring__and__Field_Oordered__semiring__strict(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1362]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7608,plain,
% 10.22/10.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7607]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1346,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.47 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.47 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4000_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7575,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.47 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X2),X1,X2)
% 10.22/10.47 | ~ class_Ring__and__Field_Opordered__cancel__semiring(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1346]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7576,plain,
% 10.22/10.47 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | c_lessequals(c_HOL_Otimes__class_Otimes(X2,X1,X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7575]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1330,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4004_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7543,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1330]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1326,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4005_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7535,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_Ring__and__Field_Oordered__semiring__strict(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1326]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7536,plain,
% 10.22/10.47 ( ~ class_Ring__and__Field_Oordered__semiring__strict(X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X2,X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7535]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1324,plain,
% 10.22/10.47 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4007_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7531,plain,
% 10.22/10.47 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1324]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7532,plain,
% 10.22/10.47 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7531]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1321,plain,
% 10.22/10.47 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4008_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7525,plain,
% 10.22/10.47 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1321]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7526,plain,
% 10.22/10.47 ( ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7525]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1316,plain,
% 10.22/10.47 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4010_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7515,plain,
% 10.22/10.47 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1316]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7516,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.47 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7515]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1312,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4011_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7507,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1312]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7508,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7507]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1304,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4013_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7491,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1304]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7492,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7491]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1300,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4014_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7483,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_lessequals(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1300]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7484,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.47 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7483]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1292,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4016_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7467,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1292]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7468,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7467]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1288,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4017_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7459,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1288]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7460,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.47 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.47 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X2,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7459]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1268,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 10.22/10.47 | ~ c_lessequals(X0,X3,X1)
% 10.22/10.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4022_4) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7419,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X3),X1)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),X2,X1)
% 10.22/10.47 | ~ c_lessequals(X0,X3,X1)
% 10.22/10.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X1)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X1) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1268]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7420,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.47 | ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 10.22/10.47 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X3,X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7419]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1265,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4023_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7413,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1265]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7414,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.47 | 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7413]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1262,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4024_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7407,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1262]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7408,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 10.22/10.47 | 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7407]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1259,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4025_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7401,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1259]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7402,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.47 | 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7401]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1256,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4026_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7395,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1256]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7396,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__cancel__ab__semigroup__add(X0)
% 10.22/10.47 | 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)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7395]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1253,plain,
% 10.22/10.47 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 10.22/10.47 | ~ c_lessequals(X2,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4027_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7389,plain,
% 10.22/10.47 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 10.22/10.47 | ~ c_lessequals(X2,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1253]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7390,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 10.22/10.47 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 10.22/10.47 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7389]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1250,plain,
% 10.22/10.47 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 10.22/10.47 | ~ c_lessequals(X1,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4028_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7383,plain,
% 10.22/10.47 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 10.22/10.47 | ~ c_lessequals(X1,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1250]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7384,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add(X0)
% 10.22/10.47 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 10.22/10.47 | ~ c_lessequals(X1,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7383]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1247,plain,
% 10.22/10.47 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 10.22/10.47 | ~ c_lessequals(X2,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4029_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7377,plain,
% 10.22/10.47 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 10.22/10.47 | ~ c_lessequals(X2,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1247]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7378,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.47 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3),X0)
% 10.22/10.47 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7377]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1244,plain,
% 10.22/10.47 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 10.22/10.47 | ~ c_lessequals(X1,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4030_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7371,plain,
% 10.22/10.47 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 10.22/10.47 | ~ c_lessequals(X1,X3,X0)
% 10.22/10.47 | ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1244]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7372,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(X0)
% 10.22/10.47 | c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2),X0)
% 10.22/10.47 | ~ c_lessequals(X1,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7371]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1234,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4034_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7351,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1234]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1232,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4035_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7347,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1232]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1230,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4036_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7343,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X2,X1,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1230]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1228,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_lessequals(X2,X1,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4037_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7339,plain,
% 10.22/10.47 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_HOL_Ominus__class_Ominus(X0,X2,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_lessequals(X2,X1,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1228]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1227,plain,
% 10.22/10.47 ( ~ 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)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4038_0) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7337,plain,
% 10.22/10.47 ( ~ 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)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1227]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1225,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.47 | ~ 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) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4038_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7333,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.47 | ~ 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) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1225]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7334,plain,
% 10.22/10.47 ( ~ 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)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7333]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1213,plain,
% 10.22/10.47 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 10.22/10.47 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.47 | ~ c_lessequals(X1,X3,X2)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4041_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7309,plain,
% 10.22/10.47 ( c_lessequals(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 10.22/10.47 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.47 | ~ c_lessequals(X1,X3,X2)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1213]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7310,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 10.22/10.47 | ~ c_lessequals(X1,X3,X0)
% 10.22/10.47 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7309]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1209,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4042_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7301,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1209]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7302,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7301]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1205,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4043_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7293,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X1,X2),X3,X2)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1205]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7294,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7293]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1193,plain,
% 10.22/10.47 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 10.22/10.47 | ~ c_lessequals(X0,X1,X3)
% 10.22/10.47 | ~ c_lessequals(X0,X2,X3)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4046_3) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7269,plain,
% 10.22/10.47 ( c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X2,X3),X3)
% 10.22/10.47 | ~ c_lessequals(X0,X1,X3)
% 10.22/10.47 | ~ c_lessequals(X0,X2,X3)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1193]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7270,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 10.22/10.47 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.47 | ~ c_lessequals(X1,X3,X0) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7269]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1189,plain,
% 10.22/10.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 10.22/10.47 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4048_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7261,plain,
% 10.22/10.47 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)),X1) = X0
% 10.22/10.47 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1189]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7262,plain,
% 10.22/10.47 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.47 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)),X0) = X1 ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7261]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1186,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4049_2) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7255,plain,
% 10.22/10.47 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1186]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1180,plain,
% 10.22/10.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4051_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7243,plain,
% 10.22/10.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1180]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7244,plain,
% 10.22/10.47 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.47 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.47 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7243]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1177,plain,
% 10.22/10.47 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.47 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4053_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7237,plain,
% 10.22/10.47 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.47 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1177]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7238,plain,
% 10.22/10.47 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.47 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7237]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1175,plain,
% 10.22/10.47 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.47 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4054_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7233,plain,
% 10.22/10.47 ( c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X0,tc_nat)
% 10.22/10.47 | ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1175]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7234,plain,
% 10.22/10.47 ( ~ c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.47 | c_lessequals(c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),X1,tc_nat) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7233]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1171,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4056_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7225,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X3) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1171]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7226,plain,
% 10.22/10.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.47 | 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) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7225]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1167,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4058_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7217,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1167]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7218,plain,
% 10.22/10.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.47 | 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) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7217]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1165,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4059_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7213,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1165]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7214,plain,
% 10.22/10.47 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.47 | 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) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7213]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1163,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4060_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7209,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_OrderedGroup_Oab__semigroup__mult(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1163]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7210,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Oab__semigroup__mult(X0)
% 10.22/10.47 | 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) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7209]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1161,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4061_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7205,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1161]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7206,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | 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) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7205]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1159,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4062_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7201,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1159]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7202,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | 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) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7201]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1157,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4063_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7197,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1157]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7198,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | 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) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7197]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1155,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4064_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7193,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1155]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7194,plain,
% 10.22/10.47 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.47 | 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) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7193]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1153,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 10.22/10.47 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4065_1) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7189,plain,
% 10.22/10.47 ( 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)
% 10.22/10.47 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 10.22/10.47 inference(copy,[status(esa)],[c_1153]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_7190,plain,
% 10.22/10.47 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 10.22/10.47 | 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) ),
% 10.22/10.47 inference(rewriting,[status(thm)],[c_7189]) ).
% 10.22/10.47
% 10.22/10.47 cnf(c_1151,plain,
% 10.22/10.47 ( 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)
% 10.22/10.48 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4066_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7185,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1151]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7186,plain,
% 10.22/10.48 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 10.22/10.48 | 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) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7185]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1149,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4067_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7181,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1149]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7182,plain,
% 10.22/10.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.48 | 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) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7181]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1110,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4088_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7103,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1110]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1108,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4089_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7099,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1108]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1106,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4090_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7095,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1106]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1104,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4091_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7091,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1104]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1102,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.48 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4092_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7087,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.48 | c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1102]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7088,plain,
% 10.22/10.48 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X0,X2,tc_nat),tc_nat)
% 10.22/10.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7087]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1100,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.48 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4093_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7083,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.48 | c_lessequals(c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),c_HOL_Otimes__class_Otimes(X2,X0,tc_nat),tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1100]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7084,plain,
% 10.22/10.48 ( c_lessequals(c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),c_HOL_Otimes__class_Otimes(X2,X1,tc_nat),tc_nat)
% 10.22/10.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7083]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1097,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4094_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7077,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1097]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7078,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7077]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1094,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4095_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7071,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1094]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7072,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7071]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1085,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4098_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7053,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1085]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7054,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 10.22/10.48 | c_lessequals(X1,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7053]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1082,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4099_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7047,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1082]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7048,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | ~ c_lessequals(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 10.22/10.48 | c_lessequals(X2,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7047]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1079,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4100_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7041,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X3,X0,X2),X1,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1079]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7042,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7041]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1076,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4101_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7035,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X0,X3,X2),X1,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1076]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7036,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omax(X1,X2,X0),X3,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7035]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1067,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4104_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7017,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X1,X3,X2),X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1067]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7018,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 10.22/10.48 | c_lessequals(X1,X2,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7017]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1064,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4105_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7011,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ c_lessequals(X0,c_Orderings_Oord__class_Omin(X3,X1,X2),X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1064]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7012,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,c_Orderings_Oord__class_Omin(X2,X3,X0),X0)
% 10.22/10.48 | c_lessequals(X1,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7011]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1062,plain,
% 10.22/10.48 ( 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))
% 10.22/10.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4106_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7007,plain,
% 10.22/10.48 ( 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))
% 10.22/10.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1062]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7008,plain,
% 10.22/10.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.48 | 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)) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7007]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1060,plain,
% 10.22/10.48 ( 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))
% 10.22/10.48 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4107_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7003,plain,
% 10.22/10.48 ( 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))
% 10.22/10.48 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1060]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7004,plain,
% 10.22/10.48 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 10.22/10.48 | 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)) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_7003]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1058,plain,
% 10.22/10.48 ( 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))
% 10.22/10.48 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4108_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6999,plain,
% 10.22/10.48 ( 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))
% 10.22/10.48 | ~ class_OrderedGroup_Oab__group__add(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1058]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_7000,plain,
% 10.22/10.48 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 10.22/10.48 | 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)) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6999]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1055,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 10.22/10.48 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4109_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6993,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 10.22/10.48 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1055]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6994,plain,
% 10.22/10.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X2,tc_nat)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6993]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1050,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4113_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6983,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1050]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6984,plain,
% 10.22/10.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6983]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1048,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4114_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6979,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X1,X0,tc_nat),tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1048]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6980,plain,
% 10.22/10.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Otimes__class_Otimes(X0,X1,tc_nat),tc_nat)
% 10.22/10.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6979]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1046,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4117_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6975,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1046]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6976,plain,
% 10.22/10.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6975]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1032,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4121_3) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6947,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ class_OrderedGroup_Opordered__comm__monoid__add(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1032]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6948,plain,
% 10.22/10.48 ( ~ class_OrderedGroup_Opordered__comm__monoid__add(X0)
% 10.22/10.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | 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) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6947]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1029,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 10.22/10.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4124_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6941,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X2,X3,tc_nat)
% 10.22/10.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1029]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1027,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4125_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6937,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1027]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6938,plain,
% 10.22/10.48 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 10.22/10.48 | c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6937]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1025,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4126_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6933,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0),X1,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1025]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6934,plain,
% 10.22/10.48 ( ~ c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 10.22/10.48 | c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6933]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1023,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4127_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6929,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2),X1,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1023]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6930,plain,
% 10.22/10.48 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X2,tc_nat)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6929]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1021,plain,
% 10.22/10.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 10.22/10.48 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4128_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6925,plain,
% 10.22/10.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1
% 10.22/10.48 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1021]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6926,plain,
% 10.22/10.48 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 10.22/10.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ominus__class_Ominus(X1,X2,X0)),X2) = X1 ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6925]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1019,plain,
% 10.22/10.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4130_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6921,plain,
% 10.22/10.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Otimes__class_Otimes(X0,X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.22/10.48 | ~ class_Ring__and__Field_Oordered__ring__strict(X1) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1019]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1016,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.48 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4131_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6915,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.48 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1016]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6916,plain,
% 10.22/10.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6915]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1013,plain,
% 10.22/10.48 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 10.22/10.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.48 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4132_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6909,plain,
% 10.22/10.48 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 10.22/10.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.48 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1013]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6910,plain,
% 10.22/10.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.48 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Power_Opower__class_Opower(X1,X2,X0),X0)
% 10.22/10.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6909]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1010,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4136_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6903,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1010]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1007,plain,
% 10.22/10.48 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4137_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6897,plain,
% 10.22/10.48 ( c_lessequals(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ c_lessequals(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1007]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1004,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4138_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6891,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ class_Ring__and__Field_Oordered__idom(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1004]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_1001,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4139_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6885,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,c_HOL_Ozero__class_Ozero(X0),X0)
% 10.22/10.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_1001]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_998,plain,
% 10.22/10.48 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 10.22/10.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4140_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6879,plain,
% 10.22/10.48 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1),X0)
% 10.22/10.48 | ~ c_lessequals(c_HOL_Ozero__class_Ozero(X0),X1,X0)
% 10.22/10.48 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_998]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_995,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4141_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6873,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_995]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_992,plain,
% 10.22/10.48 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.48 | ~ c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4142_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6867,plain,
% 10.22/10.48 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,X2),c_HOL_Ozero__class_Ozero(X2),X2)
% 10.22/10.48 | ~ c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ class_OrderedGroup_Opordered__ab__group__add(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_992]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_990,plain,
% 10.22/10.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0)
% 10.22/10.48 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4143_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6863,plain,
% 10.22/10.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0)
% 10.22/10.48 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_990]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6864,plain,
% 10.22/10.48 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 10.22/10.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_List_Olistsum(X1,X0)),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Oappend(X1,X2,X0),X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6863]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_988,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4144_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6859,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_988]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6860,plain,
% 10.22/10.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.48 | c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,c_Suc(X1),tc_nat),X0,tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6859]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_966,plain,
% 10.22/10.48 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 10.22/10.48 | ~ c_lessequals(X0,X1,X3)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4151_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6815,plain,
% 10.22/10.48 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 10.22/10.48 | ~ c_lessequals(X0,X1,X3)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_966]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6816,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6815]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_963,plain,
% 10.22/10.48 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 10.22/10.48 | ~ c_lessequals(X0,X2,X3)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4152_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6809,plain,
% 10.22/10.48 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 10.22/10.48 | ~ c_lessequals(X0,X2,X3)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_963]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6810,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 10.22/10.48 | ~ c_lessequals(X1,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6809]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_960,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4153_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6803,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_960]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6804,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6803]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_957,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4154_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6797,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_957]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6798,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6797]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_948,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4157_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6779,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X2,X3)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_948]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6780,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6779]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_945,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4158_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6773,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,c_Orderings_Oord__class_Omax(X1,X2,X3),X3)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X1,X3)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X3) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_945]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6774,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,c_Orderings_Oord__class_Omax(X2,X3,X0),X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6773]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_936,plain,
% 10.22/10.48 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 10.22/10.48 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4161_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6755,plain,
% 10.22/10.48 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 10.22/10.48 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_936]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6756,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 10.22/10.48 | ~ c_lessequals(X1,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6755]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_933,plain,
% 10.22/10.48 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 10.22/10.48 | ~ c_lessequals(X1,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4162_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6749,plain,
% 10.22/10.48 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X3,X2)
% 10.22/10.48 | ~ c_lessequals(X1,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_933]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6750,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X3,X0)
% 10.22/10.48 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6749]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_931,plain,
% 10.22/10.48 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4166_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6745,plain,
% 10.22/10.48 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X0),X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_931]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6746,plain,
% 10.22/10.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | c_Suc(c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = c_HOL_Ominus__class_Ominus(c_Suc(X1),X0,tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6745]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_929,plain,
% 10.22/10.48 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 10.22/10.48 | ~ c_Lambda_Obeta(X0,X3) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4167_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6741,plain,
% 10.22/10.48 ( c_Lambda_Obeta(c_Lambda_Osubst(X0,X1,X2),c_Lambda_Osubst(X3,X1,X2))
% 10.22/10.48 | ~ c_Lambda_Obeta(X0,X3) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_929]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_927,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4168_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6737,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_927]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_925,plain,
% 10.22/10.48 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 10.22/10.48 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4169_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6733,plain,
% 10.22/10.48 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),tc_nat) = X1
% 10.22/10.48 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_925]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6734,plain,
% 10.22/10.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ominus__class_Ominus(X1,X0,tc_nat),tc_nat) = X0 ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6733]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_923,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4170_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6729,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_923]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6730,plain,
% 10.22/10.48 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 10.22/10.48 | 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) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6729]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_921,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4171_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6725,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X2,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_921]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_919,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4175_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6721,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_919]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_917,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4176_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6717,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_917]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_915,plain,
% 10.22/10.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 10.22/10.48 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4177_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6713,plain,
% 10.22/10.48 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1
% 10.22/10.48 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_915]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6714,plain,
% 10.22/10.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),c_HOL_Ominus__class_Ominus(X1,X0,tc_nat)) = X1 ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6713]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_914,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4178_0) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6711,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_914]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_911,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.48 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.48 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4178_3) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6705,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.48 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.48 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_911]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6706,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6705]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_906,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | ~ c_lessequals(X3,X1,X0)
% 10.22/10.48 | c_lessequals(X3,X2,X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4180_0) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6695,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | ~ c_lessequals(X3,X1,X0)
% 10.22/10.48 | c_lessequals(X3,X2,X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_906]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_905,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | c_lessequals(X3,X2,X0)
% 10.22/10.48 | ~ c_lessequals(X3,X1,X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4180_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6693,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | c_lessequals(X3,X2,X0)
% 10.22/10.48 | ~ c_lessequals(X3,X1,X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_905]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_903,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.48 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.48 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4180_3) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6689,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.48 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.48 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_903]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6690,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | c_lessequals(X1,X2,X0)
% 10.22/10.48 | ~ c_lessequals(X1,X3,X0)
% 10.22/10.48 | ~ c_lessequals(X3,X2,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6689]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_898,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4182_0) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6679,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_898]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_895,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 10.22/10.48 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Oorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4182_3) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6673,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 10.22/10.48 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Oorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_895]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6674,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6673]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_894,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | ~ c_lessequals(X2,X3,X0)
% 10.22/10.48 | c_lessequals(X1,X3,X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4183_0) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6671,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | ~ c_lessequals(X2,X3,X0)
% 10.22/10.48 | c_lessequals(X1,X3,X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_894]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_893,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | c_lessequals(X1,X3,X0)
% 10.22/10.48 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4183_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6669,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.48 | c_lessequals(X1,X3,X0)
% 10.22/10.48 | ~ c_lessequals(X2,X3,X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_893]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_891,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.48 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Oorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4183_3) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6665,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,X2)
% 10.22/10.48 | ~ c_lessequals(X3,X1,X2)
% 10.22/10.48 | ~ c_lessequals(X0,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Oorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_891]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6666,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | c_lessequals(X1,X2,X0)
% 10.22/10.48 | ~ c_lessequals(X3,X2,X0)
% 10.22/10.48 | ~ c_lessequals(X1,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6665]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_890,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4184_0) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6663,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_890]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_889,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4184_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6661,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X2,X3,X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_889]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_887,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Oorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4184_3) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6657,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.48 | ~ class_Orderings_Oorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_887]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6658,plain,
% 10.22/10.48 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6657]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_886,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4185_0) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6655,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_886]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_885,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4185_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6653,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X3,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X0) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_885]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_883,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 10.22/10.48 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4185_3) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6649,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X3,X2)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X1,X2)
% 10.22/10.48 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_883]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6650,plain,
% 10.22/10.48 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,X3,X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X3,X2,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6649]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_881,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4186_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6645,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_Ring__and__Field_Osemiring__1(X1) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_881]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6646,plain,
% 10.22/10.48 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 10.22/10.48 | 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) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6645]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_879,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4187_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6641,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_879]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6642,plain,
% 10.22/10.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.48 | 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) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6641]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_873,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4190_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6629,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_873]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6630,plain,
% 10.22/10.48 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.22/10.48 | 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) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6629]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_871,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_Power_Opower(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4191_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6625,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_Power_Opower(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_871]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6626,plain,
% 10.22/10.48 ( ~ class_Power_Opower(X0)
% 10.22/10.48 | 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) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6625]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_869,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4192_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6621,plain,
% 10.22/10.48 ( 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)
% 10.22/10.48 | ~ class_OrderedGroup_Omonoid__mult(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_869]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6622,plain,
% 10.22/10.48 ( ~ class_OrderedGroup_Omonoid__mult(X0)
% 10.22/10.48 | 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) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6621]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_866,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 10.22/10.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4193_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6615,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 10.22/10.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_866]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6616,plain,
% 10.22/10.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 10.22/10.48 | c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6615]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_863,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 10.22/10.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4194_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6609,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X2),c_Nat_Osemiring__1__class_Oof__nat(X1,X2),X2)
% 10.22/10.48 | ~ class_Ring__and__Field_Oordered__semidom(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_863]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6610,plain,
% 10.22/10.48 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.48 | ~ c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 10.22/10.48 | c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6609]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_860,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4195_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6603,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X2,X1,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_860]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_854,plain,
% 10.22/10.48 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 10.22/10.48 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4198_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6591,plain,
% 10.22/10.48 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 10.22/10.48 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_854]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_852,plain,
% 10.22/10.48 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 10.22/10.48 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4199_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6587,plain,
% 10.22/10.48 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 10.22/10.48 | ~ c_lessequals(X0,X2,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_852]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_846,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4202_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6575,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_846]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_844,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4203_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6571,plain,
% 10.22/10.48 ( c_HOL_Oord__class_Oless(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2),tc_nat)
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_844]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_842,plain,
% 10.22/10.48 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4207_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6567,plain,
% 10.22/10.48 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = c_Orderings_Oord__class_Omax(X0,X1,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_842]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6568,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = c_Orderings_Oord__class_Omax(X1,X2,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6567]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_840,plain,
% 10.22/10.48 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 10.22/10.48 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4208_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6563,plain,
% 10.22/10.48 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X1,X2),X2) = c_HOL_Otimes__class_Otimes(X0,X1,X2)
% 10.22/10.48 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_840]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6564,plain,
% 10.22/10.48 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 10.22/10.48 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Otimes__class_Otimes(X1,X2,X0),X0) = c_HOL_Otimes__class_Otimes(X1,X2,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6563]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_838,plain,
% 10.22/10.48 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = c_Orderings_Oord__class_Omin(X0,X1,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4209_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6559,plain,
% 10.22/10.48 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = c_Orderings_Oord__class_Omin(X0,X1,X2)
% 10.22/10.48 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_838]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6560,plain,
% 10.22/10.48 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.48 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = c_Orderings_Oord__class_Omin(X1,X2,X0) ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6559]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_836,plain,
% 10.22/10.48 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4210_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6555,plain,
% 10.22/10.48 ( c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_836]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6556,plain,
% 10.22/10.48 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.48 | c_Suc(c_HOL_Ominus__class_Ominus(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)) = X0 ),
% 10.22/10.48 inference(rewriting,[status(thm)],[c_6555]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_835,plain,
% 10.22/10.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(X2,X0,tc_nat)
% 10.22/10.48 | c_lessequals(X2,X1,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4215_0) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6553,plain,
% 10.22/10.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(X2,X0,tc_nat)
% 10.22/10.48 | c_lessequals(X2,X1,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_835]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_834,plain,
% 10.22/10.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | c_lessequals(X2,X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(X2,X0,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4215_1) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6551,plain,
% 10.22/10.48 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | c_lessequals(X2,X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(X2,X0,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_834]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_833,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(X0,X2,tc_nat)
% 10.22/10.48 | ~ c_lessequals(X2,X1,tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4215_2) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6549,plain,
% 10.22/10.48 ( c_lessequals(X0,X1,tc_nat)
% 10.22/10.48 | ~ c_lessequals(X0,X2,tc_nat)
% 10.22/10.48 | ~ c_lessequals(X2,X1,tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_833]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_832,plain,
% 10.22/10.48 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 10.22/10.48 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.48 | hBOOL(hAPP(X1,X2))
% 10.22/10.48 | hBOOL(hAPP(X1,X0)) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4217_0) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6547,plain,
% 10.22/10.48 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 10.22/10.48 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.48 | hBOOL(hAPP(X1,X2))
% 10.22/10.48 | hBOOL(hAPP(X1,X0)) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_832]) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_829,plain,
% 10.22/10.48 ( hBOOL(hAPP(X0,X1))
% 10.22/10.48 | hBOOL(hAPP(X0,X2))
% 10.22/10.48 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 10.22/10.48 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4217_3) ).
% 10.22/10.48
% 10.22/10.48 cnf(c_6541,plain,
% 10.22/10.48 ( hBOOL(hAPP(X0,X1))
% 10.22/10.48 | hBOOL(hAPP(X0,X2))
% 10.22/10.48 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.48 | ~ c_HOL_Oord__class_Oless(X1,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X0),tc_nat) ),
% 10.22/10.48 inference(copy,[status(esa)],[c_829]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6542,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,c_ATP__Linkup_Osko__Nat__Xinfinite__descent0__1__1(X1),tc_nat)
% 10.22/10.49 | ~ hBOOL(hAPP(X1,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.49 | hBOOL(hAPP(X1,X0))
% 10.22/10.49 | hBOOL(hAPP(X1,X2)) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6541]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_827,plain,
% 10.22/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0)
% 10.22/10.49 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4220_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6537,plain,
% 10.22/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0)
% 10.22/10.49 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_827]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6538,plain,
% 10.22/10.49 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_List_Olistsum(X2,X0)) = c_List_Olistsum(c_List_Olist_OCons(X1,X2,X0),X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6537]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_825,plain,
% 10.22/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4221_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6533,plain,
% 10.22/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),c_HOL_Ominus__class_Ominus(X0,X1,tc_nat)) = X0 ),
% 10.22/10.49 inference(copy,[status(esa)],[c_825]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_823,plain,
% 10.22/10.49 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.49 | c_lessequals(X2,X1,X0)
% 10.22/10.49 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4222_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6529,plain,
% 10.22/10.49 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.49 | c_lessequals(X2,X1,X0)
% 10.22/10.49 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_823]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_818,plain,
% 10.22/10.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 10.22/10.49 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4224_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6519,plain,
% 10.22/10.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X1),c_Nat_Osemiring__1__class_Oof__nat(X0,X1),X1)
% 10.22/10.49 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_818]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6520,plain,
% 10.22/10.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6519]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_815,plain,
% 10.22/10.49 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 10.22/10.49 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4225_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6513,plain,
% 10.22/10.49 ( c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat)
% 10.22/10.49 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_815]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6514,plain,
% 10.22/10.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.49 | c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X2,tc_nat) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6513]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_812,plain,
% 10.22/10.49 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 10.22/10.49 | ~ c_lessequals(X0,X2,tc_nat)
% 10.22/10.49 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4226_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6507,plain,
% 10.22/10.49 ( c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_Nat_Osemiring__1__class_Oof__nat(X2,X1),X1)
% 10.22/10.49 | ~ c_lessequals(X0,X2,tc_nat)
% 10.22/10.49 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_812]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6508,plain,
% 10.22/10.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.49 | c_lessequals(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_Nat_Osemiring__1__class_Oof__nat(X2,X0),X0)
% 10.22/10.49 | ~ c_lessequals(X1,X2,tc_nat) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6507]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_791,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4233_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6465,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | c_HOL_Otimes__class_Otimes(c_Suc(X2),X0,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X2),X1,tc_nat) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_791]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6466,plain,
% 10.22/10.49 ( c_HOL_Otimes__class_Otimes(c_Suc(X0),X1,tc_nat) != c_HOL_Otimes__class_Otimes(c_Suc(X0),X2,tc_nat)
% 10.22/10.49 | X1 = X2 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6465]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_788,plain,
% 10.22/10.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4234_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6459,plain,
% 10.22/10.49 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_788]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6460,plain,
% 10.22/10.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X1,tc_nat)
% 10.22/10.49 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6459]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_776,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | ~ c_lessequals(X0,X1,X2)
% 10.22/10.49 | ~ c_lessequals(X1,X0,X2)
% 10.22/10.49 | ~ class_Orderings_Oorder(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4237_3) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6435,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | ~ c_lessequals(X0,X1,X2)
% 10.22/10.49 | ~ c_lessequals(X1,X0,X2)
% 10.22/10.49 | ~ class_Orderings_Oorder(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_776]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6436,plain,
% 10.22/10.49 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.49 | ~ c_lessequals(X2,X1,X0)
% 10.22/10.49 | X1 = X2 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6435]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_778,plain,
% 10.22/10.49 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.49 | X2 = X1
% 10.22/10.49 | ~ c_lessequals(X2,X1,X0) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4237_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6439,plain,
% 10.22/10.49 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.49 | X2 = X1
% 10.22/10.49 | ~ c_lessequals(X2,X1,X0) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_778]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6440,plain,
% 10.22/10.49 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.49 | ~ c_lessequals(X2,X1,X0)
% 10.22/10.49 | X2 = X1 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6439]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_772,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 10.22/10.49 | ~ class_Int_Onumber__ring(X2)
% 10.22/10.49 | ~ class_Ring__and__Field_Oidom(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4238_3) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6427,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 10.22/10.49 | ~ class_Int_Onumber__ring(X2)
% 10.22/10.49 | ~ class_Ring__and__Field_Oidom(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_772]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6428,plain,
% 10.22/10.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 10.22/10.49 | ~ class_Int_Onumber__ring(X0)
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 10.22/10.49 | X2 = X3 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6427]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_769,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 10.22/10.49 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4239_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6421,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | c_HOL_Ominus__class_Ominus(X2,X2,X3) != c_HOL_Ominus__class_Ominus(X0,X1,X3)
% 10.22/10.49 | ~ class_OrderedGroup_Oab__group__add(X3) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_769]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6422,plain,
% 10.22/10.49 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 10.22/10.49 | c_HOL_Ominus__class_Ominus(X1,X1,X0) != c_HOL_Ominus__class_Ominus(X2,X3,X0)
% 10.22/10.49 | X2 = X3 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6421]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_766,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 10.22/10.49 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4240_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6415,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ominus__class_Ominus(X3,X3,X2)
% 10.22/10.49 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_766]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6416,plain,
% 10.22/10.49 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 10.22/10.49 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ominus__class_Ominus(X3,X3,X0)
% 10.22/10.49 | X1 = X2 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6415]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_764,plain,
% 10.22/10.49 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 10.22/10.49 | ~ c_Lambda_Obeta(X0,X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4241_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6411,plain,
% 10.22/10.49 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X2),X1))
% 10.22/10.49 | ~ c_Lambda_Obeta(X0,X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_764]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_762,plain,
% 10.22/10.49 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 10.22/10.49 | ~ c_Lambda_Obeta(X1,X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4242_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6407,plain,
% 10.22/10.49 ( c_Lambda_Obeta(hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1),hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2))
% 10.22/10.49 | ~ c_Lambda_Obeta(X1,X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_762]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_756,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.49 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4244_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6395,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.49 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_756]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6396,plain,
% 10.22/10.49 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6395]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_753,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4245_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6389,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_753]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6390,plain,
% 10.22/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6389]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_750,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.49 | ~ class_Orderings_Oorder(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4246_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6383,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.49 | ~ class_Orderings_Oorder(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_750]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6384,plain,
% 10.22/10.49 ( ~ class_Orderings_Oorder(X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6383]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_747,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.49 | ~ c_lessequals(X1,X0,X2)
% 10.22/10.49 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4247_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6377,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.22/10.49 | ~ c_lessequals(X1,X0,X2)
% 10.22/10.49 | ~ class_Orderings_Opreorder(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_747]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6378,plain,
% 10.22/10.49 ( ~ class_Orderings_Opreorder(X0)
% 10.22/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6377]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_741,plain,
% 10.22/10.49 ( ~ c_lessequals(X0,X1,X2)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4249_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6365,plain,
% 10.22/10.49 ( ~ c_lessequals(X0,X1,X2)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_741]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6366,plain,
% 10.22/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6365]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_738,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 10.22/10.49 | ~ c_lessequals(X0,X0,X1)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X1) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4250_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6359,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1)
% 10.22/10.49 | ~ c_lessequals(X0,X0,X1)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X1) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_738]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6360,plain,
% 10.22/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.49 | ~ c_lessequals(X1,X1,X0)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6359]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_732,plain,
% 10.22/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | X1 = X2
% 10.22/10.49 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4252_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6347,plain,
% 10.22/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | X1 = X2
% 10.22/10.49 | c_List_Oreplicate(X0,X1,X3) != c_List_Oreplicate(X4,X2,X3) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_732]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6348,plain,
% 10.22/10.49 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2)
% 10.22/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | X1 = X4 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6347]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_730,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4253_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6343,plain,
% 10.22/10.49 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 10.22/10.49 | ~ c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_730]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_728,plain,
% 10.22/10.49 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4254_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6339,plain,
% 10.22/10.49 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_728]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_726,plain,
% 10.22/10.49 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | X1 = X0
% 10.22/10.49 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4255_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6335,plain,
% 10.22/10.49 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | X1 = X0
% 10.22/10.49 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_726]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6336,plain,
% 10.22/10.49 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | c_HOL_Ominus__class_Ominus(X1,X0,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | X1 = X0 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6335]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_723,plain,
% 10.22/10.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 10.22/10.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4256_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6329,plain,
% 10.22/10.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_HOL_Otimes__class_Otimes(X1,X1,X0),X0)
% 10.22/10.49 | ~ class_Ring__and__Field_Oordered__ring__strict(X0) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_723]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_721,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4257_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6325,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | c_List_Olist_OCons(X2,X0,X3) != c_List_Olist_OCons(X4,X1,X3) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_721]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6326,plain,
% 10.22/10.49 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 10.22/10.49 | X1 = X4 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6325]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_719,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4258_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6321,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | c_List_Olist_OCons(X0,X2,X3) != c_List_Olist_OCons(X1,X4,X3) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_719]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6322,plain,
% 10.22/10.49 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_OCons(X3,X4,X2)
% 10.22/10.49 | X0 = X3 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6321]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_716,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 10.22/10.49 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4259_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6315,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X0),X3) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X1),X3)
% 10.22/10.49 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_716]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6316,plain,
% 10.22/10.49 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X3),X2)
% 10.22/10.49 | X1 = X3 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6315]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_713,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 10.22/10.49 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4260_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6309,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 10.22/10.49 | ~ class_OrderedGroup_Ocancel__semigroup__add(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_713]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6310,plain,
% 10.22/10.49 ( ~ class_OrderedGroup_Ocancel__semigroup__add(X0)
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 10.22/10.49 | X2 = X3 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6309]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_710,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 10.22/10.49 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4261_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6303,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X2),X3),X1)
% 10.22/10.49 | ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_710]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6304,plain,
% 10.22/10.49 ( ~ class_OrderedGroup_Ocancel__ab__semigroup__add(X0)
% 10.22/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X3)
% 10.22/10.49 | X2 = X3 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6303]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_708,plain,
% 10.22/10.49 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4262_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6299,plain,
% 10.22/10.49 ( X0 = X1 | c_List_Oreplicate(X0,X2,X3) != c_List_Oreplicate(X1,X4,X3) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_708]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6300,plain,
% 10.22/10.49 ( c_List_Oreplicate(X0,X1,X2) != c_List_Oreplicate(X3,X4,X2) | X0 = X3 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6299]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_706,plain,
% 10.22/10.49 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4263_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6295,plain,
% 10.22/10.49 ( X0 = X1 | c_List_Oappend(X0,X2,X3) != c_List_Oappend(X1,X2,X3) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_706]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6296,plain,
% 10.22/10.49 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X3,X1,X2) | X0 = X3 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6295]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_704,plain,
% 10.22/10.49 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4264_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6291,plain,
% 10.22/10.49 ( X0 = X1 | c_List_Oappend(X2,X0,X3) != c_List_Oappend(X2,X1,X3) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_704]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6292,plain,
% 10.22/10.49 ( c_List_Oappend(X0,X1,X2) != c_List_Oappend(X0,X3,X2) | X1 = X3 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6291]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_698,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4268_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6279,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | c_HOL_Otimes__class_Otimes(X2,X0,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_698]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6280,plain,
% 10.22/10.49 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X0,X2,tc_nat)
% 10.22/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | X1 = X2 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6279]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_695,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4269_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6273,plain,
% 10.22/10.49 ( X0 = X1
% 10.22/10.49 | X2 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | c_HOL_Otimes__class_Otimes(X0,X2,tc_nat) != c_HOL_Otimes__class_Otimes(X1,X2,tc_nat) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_695]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6274,plain,
% 10.22/10.49 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Otimes__class_Otimes(X2,X1,tc_nat)
% 10.22/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.22/10.49 | X0 = X2 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6273]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_693,plain,
% 10.22/10.49 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4270_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6269,plain,
% 10.22/10.49 ( ~ c_lessequals(X0,X1,tc_nat) | X1 = X0 | ~ c_lessequals(X1,X0,tc_nat) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_693]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6270,plain,
% 10.22/10.49 ( ~ c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(X1,X0,tc_nat) | X1 = X0 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6269]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_690,plain,
% 10.22/10.49 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = X0
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4271_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6263,plain,
% 10.22/10.49 ( c_Orderings_Oord__class_Omax(X0,c_Orderings_Oord__class_Omin(X0,X1,X2),X2) = X0
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_690]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6264,plain,
% 10.22/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.49 | c_Orderings_Oord__class_Omax(X1,c_Orderings_Oord__class_Omin(X1,X2,X0),X0) = X1 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6263]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_688,plain,
% 10.22/10.49 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = X0
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4272_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6259,plain,
% 10.22/10.49 ( c_Orderings_Oord__class_Omin(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2) = X0
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_688]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6260,plain,
% 10.22/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.49 | c_Orderings_Oord__class_Omin(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) = X1 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6259]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_686,plain,
% 10.22/10.49 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4273_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6255,plain,
% 10.22/10.49 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X1,X0,X2),X2)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_686]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6256,plain,
% 10.22/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.49 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X2,X1,X0),X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6255]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_684,plain,
% 10.22/10.49 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4274_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6251,plain,
% 10.22/10.49 ( c_lessequals(X0,c_Orderings_Oord__class_Omax(X0,X1,X2),X2)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_684]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6252,plain,
% 10.22/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.49 | c_lessequals(X1,c_Orderings_Oord__class_Omax(X1,X2,X0),X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6251]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_682,plain,
% 10.22/10.49 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4275_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6247,plain,
% 10.22/10.49 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X1,X2)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_682]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6248,plain,
% 10.22/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.49 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X2,X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6247]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_680,plain,
% 10.22/10.49 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4276_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6243,plain,
% 10.22/10.49 ( c_lessequals(c_Orderings_Oord__class_Omin(X0,X1,X2),X0,X2)
% 10.22/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_680]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6244,plain,
% 10.22/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.22/10.49 | c_lessequals(c_Orderings_Oord__class_Omin(X1,X2,X0),X1,X0) ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6243]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_677,plain,
% 10.22/10.49 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.49 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 10.22/10.49 | ~ hBOOL(hAPP(X0,X1)) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4277_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6237,plain,
% 10.22/10.49 ( hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.22/10.49 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xex__least__nat__le__1__1(X0,X1)))
% 10.22/10.49 | ~ hBOOL(hAPP(X0,X1)) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_677]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_675,plain,
% 10.22/10.49 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 10.22/10.49 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4278_1) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6233,plain,
% 10.22/10.49 ( c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1
% 10.22/10.49 | ~ class_OrderedGroup_Ogroup__add(X0) ),
% 10.22/10.49 inference(copy,[status(esa)],[c_675]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6234,plain,
% 10.22/10.49 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 10.22/10.49 | c_HOL_Ominus__class_Ominus(hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2),X2,X0) = X1 ),
% 10.22/10.49 inference(rewriting,[status(thm)],[c_6233]) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_672,plain,
% 10.22/10.49 ( c_Type_Otyping(X0,X1,X2)
% 10.22/10.49 | ~ c_Type_Otyping(X0,X3,X2)
% 10.22/10.49 | ~ c_Lambda_Obeta(X3,X1) ),
% 10.22/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4279_2) ).
% 10.22/10.49
% 10.22/10.49 cnf(c_6227,plain,
% 10.22/10.49 ( c_Type_Otyping(X0,X1,X2)
% 10.22/10.49 | ~ c_Type_Otyping(X0,X3,X2)
% 10.22/10.49 | ~ c_Lambda_Obeta(X3,X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_672]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_667,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat)
% 10.32/10.49 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4284_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6217,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat)
% 10.32/10.49 | ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_667]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6218,plain,
% 10.32/10.49 ( ~ c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 10.32/10.49 | c_lessequals(X0,X1,tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6217]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_665,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4285_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6213,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_665]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6214,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6213]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_659,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat)
% 10.32/10.49 | X0 = c_Suc(X1)
% 10.32/10.49 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4288_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6201,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat)
% 10.32/10.49 | X0 = c_Suc(X1)
% 10.32/10.49 | ~ c_lessequals(X0,c_Suc(X1),tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_659]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6202,plain,
% 10.32/10.49 ( ~ c_lessequals(X0,c_Suc(X1),tc_nat)
% 10.32/10.49 | c_lessequals(X0,X1,tc_nat)
% 10.32/10.49 | X0 = c_Suc(X1) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6201]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_651,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.32/10.49 | X0 = X1
% 10.32/10.49 | ~ c_lessequals(X0,X1,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4290_3) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6185,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.32/10.49 | X0 = X1
% 10.32/10.49 | ~ c_lessequals(X0,X1,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_651]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6186,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.32/10.49 | X1 = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6185]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_635,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.32/10.49 | X0 = X1
% 10.32/10.49 | ~ c_lessequals(X0,X1,X2)
% 10.32/10.49 | ~ class_Orderings_Oorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4294_3) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6153,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.32/10.49 | X0 = X1
% 10.32/10.49 | ~ c_lessequals(X0,X1,X2)
% 10.32/10.49 | ~ class_Orderings_Oorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_635]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6154,plain,
% 10.32/10.49 ( ~ class_Orderings_Oorder(X0)
% 10.32/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.32/10.49 | X1 = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6153]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_627,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.32/10.49 | ~ c_lessequals(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Oorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4296_3) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6137,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.32/10.49 | ~ c_lessequals(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Oorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_627]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6138,plain,
% 10.32/10.49 ( ~ class_Orderings_Oorder(X0)
% 10.32/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.32/10.49 | X2 = X1 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6137]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_621,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,X2)
% 10.32/10.49 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4298_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6125,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,X2)
% 10.32/10.49 | c_Orderings_Oord__class_Omin(X0,X1,X2) != X0
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_621]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6126,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | c_lessequals(X1,X2,X0)
% 10.32/10.49 | c_Orderings_Oord__class_Omin(X1,X2,X0) != X1 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6125]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_618,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,X2)
% 10.32/10.49 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4299_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6119,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,X2)
% 10.32/10.49 | c_Orderings_Oord__class_Omax(X0,X1,X2) != X1
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_618]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6120,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | c_lessequals(X1,X2,X0)
% 10.32/10.49 | c_Orderings_Oord__class_Omax(X1,X2,X0) != X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6119]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_616,plain,
% 10.32/10.49 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 10.32/10.49 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4300_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6115,plain,
% 10.32/10.49 ( c_lessequals(c_Suc(X0),c_Suc(X1),tc_nat)
% 10.32/10.49 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_616]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_612,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4302_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6107,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(c_Suc(X0),c_Suc(X1),tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_612]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_606,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | X1 = X0
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4304_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6095,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | X1 = X0
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_606]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6096,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | X1 = X0 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6095]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_603,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | X0 = X1
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4305_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6089,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | X0 = X1
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_603]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6090,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | X0 = X1 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6089]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_600,plain,
% 10.32/10.49 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X1
% 10.32/10.49 | ~ c_lessequals(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4306_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6083,plain,
% 10.32/10.49 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X1
% 10.32/10.49 | ~ c_lessequals(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_600]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6084,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.32/10.49 | c_Orderings_Oord__class_Omin(X2,X1,X0) = X1 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6083]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_597,plain,
% 10.32/10.49 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X0
% 10.32/10.49 | ~ c_lessequals(X0,X1,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4307_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6077,plain,
% 10.32/10.49 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = X0
% 10.32/10.49 | ~ c_lessequals(X0,X1,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_597]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6078,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.32/10.49 | c_Orderings_Oord__class_Omin(X1,X2,X0) = X1 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6077]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_594,plain,
% 10.32/10.49 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 10.32/10.49 | ~ c_lessequals(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4308_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6071,plain,
% 10.32/10.49 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X0
% 10.32/10.49 | ~ c_lessequals(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_594]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6072,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.32/10.49 | c_Orderings_Oord__class_Omax(X2,X1,X0) = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6071]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_591,plain,
% 10.32/10.49 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 10.32/10.49 | ~ c_lessequals(X0,X1,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4309_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6065,plain,
% 10.32/10.49 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = X1
% 10.32/10.49 | ~ c_lessequals(X0,X1,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_591]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6066,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | ~ c_lessequals(X1,X2,X0)
% 10.32/10.49 | c_Orderings_Oord__class_Omax(X1,X2,X0) = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6065]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_589,plain,
% 10.32/10.49 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4310_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6061,plain,
% 10.32/10.49 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X2) = c_Lambda_OdB_OVar(X0)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X2,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_589]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6062,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X2,X1) = c_Lambda_OdB_OVar(X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6061]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_583,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,X2)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.32/10.49 | ~ class_Orderings_Opreorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4312_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6049,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,X2)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.32/10.49 | ~ class_Orderings_Opreorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_583]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6050,plain,
% 10.32/10.49 ( ~ class_Orderings_Opreorder(X0)
% 10.32/10.49 | c_lessequals(X1,X2,X0)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6049]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_580,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,X2)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.32/10.49 | ~ class_Orderings_Oorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4313_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6043,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,X2)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.32/10.49 | ~ class_Orderings_Oorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_580]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6044,plain,
% 10.32/10.49 ( ~ class_Orderings_Oorder(X0)
% 10.32/10.49 | c_lessequals(X1,X2,X0)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6043]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_576,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4315_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6035,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_576]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6036,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1)
% 10.32/10.49 | X0 = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6035]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_574,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4316_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6031,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X0) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X2),X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_574]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6032,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X2)
% 10.32/10.49 | X1 = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6031]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_572,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4317_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6027,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_572]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6028,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(c_Suc(X0),X1,tc_nat)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6027]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_570,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4318_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6023,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat) | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_570]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6024,plain,
% 10.32/10.49 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X0,X1,tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6023]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_566,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4320_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6015,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | ~ c_lessequals(c_Suc(X0),X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_566]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6016,plain,
% 10.32/10.49 ( ~ c_lessequals(c_Suc(X0),X1,tc_nat)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6015]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_564,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4321_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6011,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_564]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_562,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4326_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6007,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X0,X1),c_HOL_Ozero__class_Ozero(X1),X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Oordered__semidom(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_562]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6008,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(c_Nat_Osemiring__1__class_Oof__nat(X1,X0),c_HOL_Ozero__class_Ozero(X0),X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_6007]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_560,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4327_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_6003,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_560]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_558,plain,
% 10.32/10.49 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4328_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5999,plain,
% 10.32/10.49 ( c_lessequals(X0,c_Suc(X1),tc_nat) | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_558]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_554,plain,
% 10.32/10.49 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4333_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5991,plain,
% 10.32/10.49 ( c_lessequals(c_Suc(X0),X1,tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_554]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_550,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 10.32/10.49 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4335_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5983,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 10.32/10.49 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_550]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5984,plain,
% 10.32/10.49 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5983]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_548,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat)
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4336_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5979,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat)
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_548]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_539,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4339_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5961,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_539]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5962,plain,
% 10.32/10.49 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | X0 = X1 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5961]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_537,plain,
% 10.32/10.49 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4340_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5957,plain,
% 10.32/10.49 ( c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | ~ c_lessequals(X0,X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_537]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5958,plain,
% 10.32/10.49 ( ~ c_lessequals(X0,X1,tc_nat)
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X0,X1,tc_nat) = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5957]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_533,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4342_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5949,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat) | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_533]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_530,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1))
% 10.32/10.49 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4343_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5943,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1))
% 10.32/10.49 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_530]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5944,plain,
% 10.32/10.49 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.32/10.49 | hBOOL(hAPP(X0,v_sko__List__Xupt__Xinduct__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1)) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5943]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_527,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1))
% 10.32/10.49 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4344_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5937,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1))
% 10.32/10.49 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_527]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5938,plain,
% 10.32/10.49 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.32/10.49 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinduct__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1)) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5937]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_524,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1))
% 10.32/10.49 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4345_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5931,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1))
% 10.32/10.49 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_524]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5932,plain,
% 10.32/10.49 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.32/10.49 | hBOOL(hAPP(X0,v_sko__Nat__Xnat__Xinducts__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1)) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5931]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_521,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1))
% 10.32/10.49 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4346_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5925,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1))
% 10.32/10.49 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_521]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5926,plain,
% 10.32/10.49 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.32/10.49 | hBOOL(hAPP(X0,v_sko__List__Xreplicate__Xinduct__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1)) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5925]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_518,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1))
% 10.32/10.49 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4347_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5919,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1))
% 10.32/10.49 | ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat))) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_518]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5920,plain,
% 10.32/10.49 ( ~ hBOOL(hAPP(X0,c_HOL_Ozero__class_Ozero(tc_nat)))
% 10.32/10.49 | hBOOL(hAPP(X0,c_ATP__Linkup_Osko__Nat__Xnat__induct__1__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1)) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5919]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_516,plain,
% 10.32/10.49 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 10.32/10.49 | ~ c_InductTermi_OIT(X0) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4348_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5915,plain,
% 10.32/10.49 ( c_InductTermi_OIT(c_Lambda_Osubst(X0,c_Lambda_OdB_OVar(X1),X2))
% 10.32/10.49 | ~ c_InductTermi_OIT(X0) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_516]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_502,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,X1))
% 10.32/10.49 | hBOOL(hAPP(X0,X2))
% 10.32/10.49 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4351_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5887,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,X1))
% 10.32/10.49 | hBOOL(hAPP(X0,X2))
% 10.32/10.49 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_502]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_499,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,X1))
% 10.32/10.49 | hBOOL(hAPP(X0,X2))
% 10.32/10.49 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4352_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5881,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,X1))
% 10.32/10.49 | hBOOL(hAPP(X0,X2))
% 10.32/10.49 | c_Type_Osko__Type__Xtype__induct__1__1(X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_499]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_483,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | X1 = X2
% 10.32/10.49 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4357_0) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5849,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | X1 = X2
% 10.32/10.49 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X2,X0) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_483]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5850,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 10.32/10.49 | X2 = X1 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5849]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_480,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.32/10.49 | X0 = X1
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4357_3) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5843,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,X2)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.32/10.49 | X0 = X1
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_480]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5844,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X2,X0)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X2,X1,X0)
% 10.32/10.49 | X1 = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5843]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_474,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4359_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5831,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | hAPP(hAPP(c_Type_Otype_OFun,X2),X0) != hAPP(hAPP(c_Type_Otype_OFun,X3),X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_474]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5832,plain,
% 10.32/10.49 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 10.32/10.49 | X1 = X3 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5831]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_472,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4360_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5827,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | hAPP(hAPP(c_Type_Otype_OFun,X0),X2) != hAPP(hAPP(c_Type_Otype_OFun,X1),X3) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_472]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5828,plain,
% 10.32/10.49 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != hAPP(hAPP(c_Type_Otype_OFun,X2),X3)
% 10.32/10.49 | X0 = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5827]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_470,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4361_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5823,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | hAPP(hAPP(c_Lambda_OdB_OApp,X0),X2) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X3) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_470]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5824,plain,
% 10.32/10.49 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 10.32/10.49 | X0 = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5823]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_468,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4362_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5819,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | hAPP(hAPP(c_Lambda_OdB_OApp,X2),X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X3),X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_468]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5820,plain,
% 10.32/10.49 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != hAPP(hAPP(c_Lambda_OdB_OApp,X2),X3)
% 10.32/10.49 | X1 = X3 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5819]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_465,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,X2)
% 10.32/10.49 | c_lessequals(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4364_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5813,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,X2)
% 10.32/10.49 | c_lessequals(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_465]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5814,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | c_lessequals(X1,X2,X0)
% 10.32/10.49 | c_lessequals(X2,X1,X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5813]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_456,plain,
% 10.32/10.49 ( c_lessequals(X0,X0,X1)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4367_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5795,plain,
% 10.32/10.49 ( c_lessequals(X0,X0,X1)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,X0,X1)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_456]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5796,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | c_lessequals(X1,X1,X0)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5795]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_453,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,X2)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4368_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5789,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,X2)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_453]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5790,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | c_lessequals(X1,X2,X0)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X2,X1,X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5789]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_451,plain,
% 10.32/10.49 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4369_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5785,plain,
% 10.32/10.49 ( c_Orderings_Oord__class_Omax(X0,X1,X2) = c_Orderings_Oord__class_Omax(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_451]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5786,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | c_Orderings_Oord__class_Omax(X1,X2,X0) = c_Orderings_Oord__class_Omax(X2,X1,X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5785]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_449,plain,
% 10.32/10.49 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = c_Orderings_Oord__class_Omin(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4370_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5781,plain,
% 10.32/10.49 ( c_Orderings_Oord__class_Omin(X0,X1,X2) = c_Orderings_Oord__class_Omin(X1,X0,X2)
% 10.32/10.49 | ~ class_Orderings_Olinorder(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_449]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5782,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.49 | c_Orderings_Oord__class_Omin(X1,X2,X0) = c_Orderings_Oord__class_Omin(X2,X1,X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5781]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_445,plain,
% 10.32/10.49 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 10.32/10.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4372_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5773,plain,
% 10.32/10.49 ( c_HOL_Otimes__class_Otimes(X0,X1,X2) = c_HOL_Otimes__class_Otimes(X1,X0,X2)
% 10.32/10.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_445]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5774,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) = c_HOL_Otimes__class_Otimes(X2,X1,X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5773]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_443,plain,
% 10.32/10.49 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4374_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5769,plain,
% 10.32/10.49 ( c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1
% 10.32/10.49 | c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_443]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5770,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X0,tc_nat)
% 10.32/10.49 | c_Lambda_Osubst(c_Lambda_OdB_OVar(X0),X1,X0) = X1 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5769]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_441,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4375_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5765,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,c_Suc(X0),tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_441]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5766,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,c_Suc(X1),tc_nat)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5765]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_437,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4377_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5757,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(c_Suc(X1),X0,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_437]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5758,plain,
% 10.32/10.49 ( c_lessequals(c_Suc(X0),X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5757]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_433,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 10.32/10.49 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4381_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5749,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 10.32/10.49 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_433]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5750,plain,
% 10.32/10.49 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5749]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_431,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4382_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5745,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_431]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5746,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X2),X1) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5745]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_429,plain,
% 10.32/10.49 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4383_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5741,plain,
% 10.32/10.49 ( hAPP(X0,X1) = X2 | ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_429]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5742,plain,
% 10.32/10.49 ( ~ c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),X2) | hAPP(X0,X1) = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5741]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_428,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4385_0) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5739,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_428]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_425,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4385_3) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5733,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_425]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5734,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5733]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_420,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4387_0) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5723,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_420]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_417,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4387_3) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5717,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | X2 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X2,X0,X1) != c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Ono__zero__divisors(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_417]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5718,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Ono__zero__divisors(X0)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X2 = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5717]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_412,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | X1 = X0
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4389_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5707,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | X1 = X0
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X0,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_412]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5708,plain,
% 10.32/10.49 ( c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | c_HOL_Oord__class_Oless(X1,X0,tc_nat)
% 10.32/10.49 | X1 = X0 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5707]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_407,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 10.32/10.49 | ~ class_Int_Onumber__ring(X2)
% 10.32/10.49 | ~ class_Ring__and__Field_Oidom(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4390_3) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5697,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 10.32/10.49 | ~ class_Int_Onumber__ring(X2)
% 10.32/10.49 | ~ class_Ring__and__Field_Oidom(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_407]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5698,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 10.32/10.49 | ~ class_Int_Onumber__ring(X0)
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X1 = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5697]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_405,plain,
% 10.32/10.49 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4391_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5693,plain,
% 10.32/10.49 ( c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_405]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5694,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X1,tc_nat)
% 10.32/10.49 | c_Lambda_Olift(c_Lambda_OdB_OVar(X0),X1) = c_Lambda_OdB_OVar(X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5693]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_403,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4392_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5689,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_403]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5690,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(X0,c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat)
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5689]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_401,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4393_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5685,plain,
% 10.32/10.49 ( c_lessequals(X0,X1,tc_nat) | c_lessequals(X1,X0,tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_401]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_398,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4395_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5679,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | c_Power_Opower__class_Opower(X0,X2,X1) != c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_398]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5680,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Oring__1__no__zero__divisors(X0)
% 10.32/10.49 | c_Power_Opower__class_Opower(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5679]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_394,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 10.32/10.49 | ~ class_Int_Onumber__ring(X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Oidom(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4396_3) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5671,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X2),X0) != X2
% 10.32/10.49 | ~ class_Int_Onumber__ring(X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Oidom(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_394]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5672,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 10.32/10.49 | ~ class_Int_Onumber__ring(X0)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X2) != X1
% 10.32/10.49 | X2 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5671]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_392,plain,
% 10.32/10.49 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4397_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5667,plain,
% 10.32/10.49 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_392]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5668,plain,
% 10.32/10.49 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5667]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_390,plain,
% 10.32/10.49 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4398_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5663,plain,
% 10.32/10.49 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_390]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5664,plain,
% 10.32/10.49 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5663]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_387,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 10.32/10.49 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4399_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5657,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 10.32/10.49 | ~ class_OrderedGroup_Oab__group__add(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_387]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5658,plain,
% 10.32/10.49 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X1 = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5657]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_384,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 10.32/10.49 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4400_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5651,plain,
% 10.32/10.49 ( X0 = X1
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X0,X1,X2) != c_HOL_Ozero__class_Ozero(X2)
% 10.32/10.49 | ~ class_OrderedGroup_Ogroup__add(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_384]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5652,plain,
% 10.32/10.49 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X1,X2,X0) != c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X1 = X2 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5651]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_381,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4401_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5645,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X1),X0),X0) != c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | ~ class_OrderedGroup_Olordered__ab__group__add(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_381]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5646,plain,
% 10.32/10.49 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),X1) != c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5645]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_377,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4403_0) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5637,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_377]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_375,plain,
% 10.32/10.49 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4403_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5633,plain,
% 10.32/10.49 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_375]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5634,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5633]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_369,plain,
% 10.32/10.49 ( X0 = c_List_Olist_ONil(X1)
% 10.32/10.49 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4406_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5621,plain,
% 10.32/10.49 ( X0 = c_List_Olist_ONil(X1)
% 10.32/10.49 | c_List_Oappend(X2,X0,X1) != c_List_Olist_ONil(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_369]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5622,plain,
% 10.32/10.49 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 10.32/10.49 | X1 = c_List_Olist_ONil(X2) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5621]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_367,plain,
% 10.32/10.49 ( X0 = c_List_Olist_ONil(X1)
% 10.32/10.49 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4407_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5617,plain,
% 10.32/10.49 ( X0 = c_List_Olist_ONil(X1)
% 10.32/10.49 | c_List_Oappend(X0,X2,X1) != c_List_Olist_ONil(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_367]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5618,plain,
% 10.32/10.49 ( c_List_Oappend(X0,X1,X2) != c_List_Olist_ONil(X2)
% 10.32/10.49 | X0 = c_List_Olist_ONil(X2) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5617]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_365,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,X1))
% 10.32/10.49 | ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0))) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4408_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5613,plain,
% 10.32/10.49 ( hBOOL(hAPP(X0,X1))
% 10.32/10.49 | ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0))) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_365]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5614,plain,
% 10.32/10.49 ( ~ hBOOL(hAPP(X0,c_Type_Osko__Type__Xtype__induct__1__1(X0)))
% 10.32/10.49 | hBOOL(hAPP(X0,X1)) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5613]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_355,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4411_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5593,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_355]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5594,plain,
% 10.32/10.49 ( c_List_Oreplicate(X0,X1,X2) != c_List_Olist_ONil(X2)
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5593]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_346,plain,
% 10.32/10.49 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4414_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5575,plain,
% 10.32/10.49 ( X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_346]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5576,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5575]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_343,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4415_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5569,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X0 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_343]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5570,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X1 = c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5569]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_341,plain,
% 10.32/10.49 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 10.32/10.49 | ~ c_InductTermi_OIT(X0) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4416_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5565,plain,
% 10.32/10.49 ( c_InductTermi_OIT(hAPP(hAPP(c_Lambda_OdB_OApp,X0),c_Lambda_OdB_OVar(X1)))
% 10.32/10.49 | ~ c_InductTermi_OIT(X0) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_341]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_340,plain,
% 10.32/10.49 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4417_0) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5563,plain,
% 10.32/10.49 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_340]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_338,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4417_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5559,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_338]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5560,plain,
% 10.32/10.49 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5559]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_334,plain,
% 10.32/10.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 10.32/10.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4419_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5551,plain,
% 10.32/10.49 ( c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0)
% 10.32/10.49 | ~ class_Ring__and__Field_Oordered__semidom(X0) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_334]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5552,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Oordered__semidom(X0)
% 10.32/10.49 | c_lessequals(c_HOL_Ozero__class_Ozero(X0),c_Nat_Osemiring__1__class_Oof__nat(X1,X0),X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5551]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_332,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4422_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5547,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_332]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5548,plain,
% 10.32/10.49 ( ~ class_Orderings_Opreorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5547]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_330,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4423_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5543,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Olinorder(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_330]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5544,plain,
% 10.32/10.49 ( ~ class_Orderings_Olinorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5543]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_328,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4424_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5539,plain,
% 10.32/10.49 ( ~ c_HOL_Oord__class_Oless(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_328]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5540,plain,
% 10.32/10.49 ( ~ class_Orderings_Oorder(X0) | ~ c_HOL_Oord__class_Oless(X1,X1,X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5539]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_324,plain,
% 10.32/10.49 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4426_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5531,plain,
% 10.32/10.49 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X0,X2,X1) != X2 ),
% 10.32/10.49 inference(copy,[status(esa)],[c_324]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5532,plain,
% 10.32/10.49 ( c_List_Oappend(X0,X1,X2) != X1 | X0 = c_List_Olist_ONil(X2) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5531]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_320,plain,
% 10.32/10.49 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4428_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5523,plain,
% 10.32/10.49 ( X0 = c_List_Olist_ONil(X1) | c_List_Oappend(X2,X0,X1) != X2 ),
% 10.32/10.49 inference(copy,[status(esa)],[c_320]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5524,plain,
% 10.32/10.49 ( c_List_Oappend(X0,X1,X2) != X0 | X1 = c_List_Olist_ONil(X2) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5523]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_318,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4429_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5519,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_318]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5520,plain,
% 10.32/10.49 ( ~ c_lessequals(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat)
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5519]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_314,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4435_0) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5511,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_314]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_312,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4435_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5507,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_312]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5508,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_Suc(c_HOL_Ozero__class_Ozero(tc_nat))
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5507]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_310,plain,
% 10.32/10.49 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 10.32/10.49 | ~ c_Lambda_Obeta(X0,X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4436_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5503,plain,
% 10.32/10.49 ( c_Lambda_Obeta(c_Lambda_Olift(X0,X1),c_Lambda_Olift(X2,X1))
% 10.32/10.49 | ~ c_Lambda_Obeta(X0,X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_310]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_308,plain,
% 10.32/10.49 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4439_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5499,plain,
% 10.32/10.49 ( X0 = X1 | ~ c_fequal(X0,X1,X2) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_308]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5500,plain,
% 10.32/10.49 ( ~ c_fequal(X0,X1,X2) | X0 = X1 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5499]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_305,plain,
% 10.32/10.49 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | ~ class_Power_Opower(X0)
% 10.32/10.49 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4443_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5493,plain,
% 10.32/10.49 ( c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | ~ class_Power_Opower(X0)
% 10.32/10.49 | ~ class_Ring__and__Field_Osemiring__0(X0) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_305]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5494,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 10.32/10.49 | ~ class_Power_Opower(X0)
% 10.32/10.49 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),c_Suc(X1),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5493]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_301,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | ~ class_Power_Opower(X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4447_3) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5485,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X1),X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | ~ class_Power_Opower(X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Osemiring__0(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_301]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5486,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Osemiring__0(X0)
% 10.32/10.49 | ~ class_Power_Opower(X0)
% 10.32/10.49 | c_Power_Opower__class_Opower(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5485]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_299,plain,
% 10.32/10.49 ( 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)
% 10.32/10.49 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4448_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5481,plain,
% 10.32/10.49 ( 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)
% 10.32/10.49 | ~ class_OrderedGroup_Olordered__ab__group__add(X0) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_299]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5482,plain,
% 10.32/10.49 ( ~ class_OrderedGroup_Olordered__ab__group__add(X0)
% 10.32/10.49 | 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) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5481]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_297,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4453_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5477,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_297]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5478,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5477]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_295,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4454_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5473,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_295]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5474,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5473]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_291,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4456_1) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5465,plain,
% 10.32/10.49 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) != X1 ),
% 10.32/10.49 inference(copy,[status(esa)],[c_291]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5466,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) != X0
% 10.32/10.49 | X1 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5465]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_288,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 10.32/10.49 | ~ class_Int_Onumber__ring(X0)
% 10.32/10.49 | ~ class_Ring__and__Field_Oidom(X0) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4457_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5459,plain,
% 10.32/10.49 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 10.32/10.49 | ~ class_Int_Onumber__ring(X0)
% 10.32/10.49 | ~ class_Ring__and__Field_Oidom(X0) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_288]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5460,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 10.32/10.49 | ~ class_Int_Onumber__ring(X0)
% 10.32/10.49 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 10.32/10.49 inference(rewriting,[status(thm)],[c_5459]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_285,plain,
% 10.32/10.49 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | ~ class_Int_Onumber__ring(X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Oidom(X1) ),
% 10.32/10.49 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4458_2) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5453,plain,
% 10.32/10.49 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.49 | ~ class_Int_Onumber__ring(X1)
% 10.32/10.49 | ~ class_Ring__and__Field_Oidom(X1) ),
% 10.32/10.49 inference(copy,[status(esa)],[c_285]) ).
% 10.32/10.49
% 10.32/10.49 cnf(c_5454,plain,
% 10.32/10.49 ( ~ class_Ring__and__Field_Oidom(X0)
% 10.32/10.49 | ~ class_Int_Onumber__ring(X0)
% 10.32/10.49 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5453]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_281,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 10.32/10.50 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4460_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5445,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 10.32/10.50 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_281]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5446,plain,
% 10.32/10.50 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 10.32/10.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5445]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_279,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 10.32/10.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4461_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5441,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 10.32/10.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_279]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5442,plain,
% 10.32/10.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 10.32/10.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5441]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_277,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 10.32/10.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4462_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5437,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1
% 10.32/10.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_277]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5438,plain,
% 10.32/10.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.32/10.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),c_HOL_Ozero__class_Ozero(X0)),X1) = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5437]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_273,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4464_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5429,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_273]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5430,plain,
% 10.32/10.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.32/10.50 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5429]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_271,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.50 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4465_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5425,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.50 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_271]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5426,plain,
% 10.32/10.50 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 10.32/10.50 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5425]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_269,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.50 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4466_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5421,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.50 | ~ class_Ring__and__Field_Oring__no__zero__divisors(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_269]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5422,plain,
% 10.32/10.50 ( ~ class_Ring__and__Field_Oring__no__zero__divisors(X0)
% 10.32/10.50 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5421]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_267,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.50 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4467_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5417,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(X0,c_HOL_Ozero__class_Ozero(X1),X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.50 | ~ class_Ring__and__Field_Omult__zero(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_267]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5418,plain,
% 10.32/10.50 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 10.32/10.50 | c_HOL_Otimes__class_Otimes(X1,c_HOL_Ozero__class_Ozero(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5417]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_265,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.50 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4468_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5413,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.50 | ~ class_Ring__and__Field_Omult__zero(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_265]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5414,plain,
% 10.32/10.50 ( ~ class_Ring__and__Field_Omult__zero(X0)
% 10.32/10.50 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5413]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_263,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4469_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5409,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_263]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5410,plain,
% 10.32/10.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.32/10.50 | c_HOL_Otimes__class_Otimes(c_HOL_Ozero__class_Ozero(X0),X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5409]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_261,plain,
% 10.32/10.50 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 10.32/10.50 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4474_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5405,plain,
% 10.32/10.50 ( c_HOL_Ominus__class_Ominus(X0,c_HOL_Ozero__class_Ozero(X1),X1) = X0
% 10.32/10.50 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_261]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5406,plain,
% 10.32/10.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 10.32/10.50 | c_HOL_Ominus__class_Ominus(X1,c_HOL_Ozero__class_Ozero(X0),X0) = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5405]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_259,plain,
% 10.32/10.50 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 10.32/10.50 | ~ class_Orderings_Obot(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4476_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5401,plain,
% 10.32/10.50 ( c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0)
% 10.32/10.50 | ~ class_Orderings_Obot(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_259]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5402,plain,
% 10.32/10.50 ( ~ class_Orderings_Obot(X0)
% 10.32/10.50 | c_lessequals(c_Orderings_Obot__class_Obot(X0),X1,X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5401]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_257,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 10.32/10.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4477_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5397,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 10.32/10.50 | ~ class_Ring__and__Field_Ocomm__semiring__1(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_257]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5398,plain,
% 10.32/10.50 ( ~ class_Ring__and__Field_Ocomm__semiring__1(X0)
% 10.32/10.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5397]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_255,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 10.32/10.50 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4478_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5393,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 10.32/10.50 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_255]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5394,plain,
% 10.32/10.50 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 10.32/10.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5393]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_253,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 10.32/10.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4479_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5389,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1
% 10.32/10.50 | ~ class_OrderedGroup_Ocomm__monoid__add(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_253]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5390,plain,
% 10.32/10.50 ( ~ class_OrderedGroup_Ocomm__monoid__add(X0)
% 10.32/10.50 | hAPP(hAPP(c_HOL_Oplus__class_Oplus(X0),X1),c_HOL_Ozero__class_Ozero(X0)) = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5389]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_251,plain,
% 10.32/10.50 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.50 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4480_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5385,plain,
% 10.32/10.50 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.50 | ~ class_OrderedGroup_Oab__group__add(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_251]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5386,plain,
% 10.32/10.50 ( ~ class_OrderedGroup_Oab__group__add(X0)
% 10.32/10.50 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5385]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_247,plain,
% 10.32/10.50 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.50 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4482_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5377,plain,
% 10.32/10.50 ( c_HOL_Ominus__class_Ominus(X0,X0,X1) = c_HOL_Ozero__class_Ozero(X1)
% 10.32/10.50 | ~ class_OrderedGroup_Ogroup__add(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_247]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5378,plain,
% 10.32/10.50 ( ~ class_OrderedGroup_Ogroup__add(X0)
% 10.32/10.50 | c_HOL_Ominus__class_Ominus(X1,X1,X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5377]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_245,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 10.32/10.50 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4491_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5373,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(X0,X0,X1) = X0
% 10.32/10.50 | ~ class_OrderedGroup_Oab__semigroup__idem__mult(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_245]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5374,plain,
% 10.32/10.50 ( ~ class_OrderedGroup_Oab__semigroup__idem__mult(X0)
% 10.32/10.50 | c_HOL_Otimes__class_Otimes(X1,X1,X0) = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5373]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_243,plain,
% 10.32/10.50 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 10.32/10.50 | ~ class_Orderings_Olinorder(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4492_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5369,plain,
% 10.32/10.50 ( c_Orderings_Oord__class_Omax(X0,X0,X1) = X0
% 10.32/10.50 | ~ class_Orderings_Olinorder(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_243]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5370,plain,
% 10.32/10.50 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.50 | c_Orderings_Oord__class_Omax(X1,X1,X0) = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5369]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_241,plain,
% 10.32/10.50 ( c_Orderings_Oord__class_Omin(X0,X0,X1) = X0
% 10.32/10.50 | ~ class_Orderings_Olinorder(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4493_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5365,plain,
% 10.32/10.50 ( c_Orderings_Oord__class_Omin(X0,X0,X1) = X0
% 10.32/10.50 | ~ class_Orderings_Olinorder(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_241]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5366,plain,
% 10.32/10.50 ( ~ class_Orderings_Olinorder(X0)
% 10.32/10.50 | c_Orderings_Oord__class_Omin(X1,X1,X0) = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5365]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_239,plain,
% 10.32/10.50 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4496_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5361,plain,
% 10.32/10.50 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Opreorder(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_239]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5362,plain,
% 10.32/10.50 ( ~ class_Orderings_Opreorder(X0) | c_lessequals(X1,X1,X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5361]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_237,plain,
% 10.32/10.50 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4497_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5357,plain,
% 10.32/10.50 ( c_lessequals(X0,X0,X1) | ~ class_Orderings_Oorder(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_237]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5358,plain,
% 10.32/10.50 ( ~ class_Orderings_Oorder(X0) | c_lessequals(X1,X1,X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5357]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_235,plain,
% 10.32/10.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4506_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5353,plain,
% 10.32/10.50 ( X0 = c_HOL_Ozero__class_Ozero(tc_nat)
% 10.32/10.50 | c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_235]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5354,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat)
% 10.32/10.50 | X0 = c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5353]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_232,plain,
% 10.32/10.50 ( X0 = X1
% 10.32/10.50 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 10.32/10.50 | ~ class_Nat_Osemiring__char__0(X2) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4523_2) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5347,plain,
% 10.32/10.50 ( X0 = X1
% 10.32/10.50 | c_Nat_Osemiring__1__class_Oof__nat(X0,X2) != c_Nat_Osemiring__1__class_Oof__nat(X1,X2)
% 10.32/10.50 | ~ class_Nat_Osemiring__char__0(X2) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_232]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5348,plain,
% 10.32/10.50 ( ~ class_Nat_Osemiring__char__0(X0)
% 10.32/10.50 | c_Nat_Osemiring__1__class_Oof__nat(X1,X0) != c_Nat_Osemiring__1__class_Oof__nat(X2,X0)
% 10.32/10.50 | X1 = X2 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5347]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_230,plain,
% 10.32/10.50 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 10.32/10.50 | ~ c_Lambda_Obeta(X0,X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4530_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5343,plain,
% 10.32/10.50 ( c_Lambda_Obeta(c_Lambda_OdB_OAbs(X0),c_Lambda_OdB_OAbs(X1))
% 10.32/10.50 | ~ c_Lambda_Obeta(X0,X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_230]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_228,plain,
% 10.32/10.50 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4531_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5339,plain,
% 10.32/10.50 ( class_Orderings_Obot(tc_fun(X0,X1)) | ~ class_Orderings_Obot(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_228]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_226,plain,
% 10.32/10.50 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4532_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5335,plain,
% 10.32/10.50 ( class_Orderings_Oorder(tc_fun(X0,X1)) | ~ class_Orderings_Oorder(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_226]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_224,plain,
% 10.32/10.50 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 10.32/10.50 | ~ class_Orderings_Opreorder(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4533_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5331,plain,
% 10.32/10.50 ( class_Orderings_Opreorder(tc_fun(X0,X1))
% 10.32/10.50 | ~ class_Orderings_Opreorder(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_224]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_222,plain,
% 10.32/10.50 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4534_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5327,plain,
% 10.32/10.50 ( c_InductTermi_OIT(c_Lambda_Olift(X0,X1)) | ~ c_InductTermi_OIT(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_222]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_220,plain,
% 10.32/10.50 ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.50 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4536_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5323,plain,
% 10.32/10.50 ( c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.50 | ~ class_OrderedGroup_Omonoid__add(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_220]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5324,plain,
% 10.32/10.50 ( ~ class_OrderedGroup_Omonoid__add(X0)
% 10.32/10.50 | c_List_Olistsum(c_List_Olist_ONil(X0),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5323]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_218,plain,
% 10.32/10.50 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.50 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4537_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5319,plain,
% 10.32/10.50 ( c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0)
% 10.32/10.50 | ~ class_Ring__and__Field_Osemiring__1(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_218]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5320,plain,
% 10.32/10.50 ( ~ class_Ring__and__Field_Osemiring__1(X0)
% 10.32/10.50 | c_Nat_Osemiring__1__class_Oof__nat(c_HOL_Ozero__class_Ozero(tc_nat),X0) = c_HOL_Ozero__class_Ozero(X0) ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5319]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_216,plain,
% 10.32/10.50 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4539_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5315,plain,
% 10.32/10.50 ( c_InductTermi_OIT(c_Lambda_OdB_OAbs(X0)) | ~ c_InductTermi_OIT(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_216]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_214,plain,
% 10.32/10.50 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4540_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5311,plain,
% 10.32/10.50 ( X0 = X1 | c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_214]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5312,plain,
% 10.32/10.50 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OVar(X1) | X0 = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5311]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_212,plain,
% 10.32/10.50 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4541_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5307,plain,
% 10.32/10.50 ( X0 = X1 | c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_212]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5308,plain,
% 10.32/10.50 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OAbs(X1) | X0 = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5307]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_208,plain,
% 10.32/10.50 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4543_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5299,plain,
% 10.32/10.50 ( X0 = X1 | c_Suc(X0) != c_Suc(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_208]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5300,plain,
% 10.32/10.50 ( c_Suc(X0) != c_Suc(X1) | X0 = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5299]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_206,plain,
% 10.32/10.50 ( X0 = X1 | c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4544_1) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5295,plain,
% 10.32/10.50 ( X0 = X1 | c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_206]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5296,plain,
% 10.32/10.50 ( c_Type_Otype_OAtom(X0) != c_Type_Otype_OAtom(X1) | X0 = X1 ),
% 10.32/10.50 inference(rewriting,[status(thm)],[c_5295]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_205,plain,
% 10.32/10.50 ( 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) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3734_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5293,plain,
% 10.32/10.50 ( 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) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_205]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_204,plain,
% 10.32/10.50 ( 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) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3766_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5291,plain,
% 10.32/10.50 ( 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) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_204]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_203,plain,
% 10.32/10.50 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4204_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5289,plain,
% 10.32/10.50 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X1,tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_203]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_202,plain,
% 10.32/10.50 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4205_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5287,plain,
% 10.32/10.50 ( ~ c_HOL_Oord__class_Oless(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),X0,tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_202]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_201,plain,
% 10.32/10.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4420_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5285,plain,
% 10.32/10.50 ( ~ c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_201]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_200,plain,
% 10.32/10.50 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4421_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5283,plain,
% 10.32/10.50 ( ~ c_lessequals(c_Suc(X0),X0,tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_200]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_197,plain,
% 10.32/10.50 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4432_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5277,plain,
% 10.32/10.50 ( c_List_Olist_OCons(X0,X1,X2) != c_List_Olist_ONil(X2) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_197]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_195,plain,
% 10.32/10.50 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4438_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5273,plain,
% 10.32/10.50 ( ~ c_HOL_Oord__class_Oless(X0,c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_195]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_193,plain,
% 10.32/10.50 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4441_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5269,plain,
% 10.32/10.50 ( c_List_Olist_OCons(X0,X1,X2) != X1 ),
% 10.32/10.50 inference(copy,[status(esa)],[c_193]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_191,plain,
% 10.32/10.50 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4446_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5265,plain,
% 10.32/10.50 ( ~ c_HOL_Oord__class_Oless(X0,X0,tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_191]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_190,plain,
% 10.32/10.50 ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4485_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5263,plain,
% 10.32/10.50 ( c_Type_Otype_OAtom(X0) != hAPP(hAPP(c_Type_Otype_OFun,X1),X2) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_190]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_189,plain,
% 10.32/10.50 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4486_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5261,plain,
% 10.32/10.50 ( hAPP(hAPP(c_Type_Otype_OFun,X0),X1) != c_Type_Otype_OAtom(X2) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_189]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_188,plain,
% 10.32/10.50 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4487_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5259,plain,
% 10.32/10.50 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OAbs(X2) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_188]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_187,plain,
% 10.32/10.50 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4488_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5257,plain,
% 10.32/10.50 ( c_Lambda_OdB_OAbs(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_187]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_186,plain,
% 10.32/10.50 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4489_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5255,plain,
% 10.32/10.50 ( hAPP(hAPP(c_Lambda_OdB_OApp,X0),X1) != c_Lambda_OdB_OVar(X2) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_186]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_185,plain,
% 10.32/10.50 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4490_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5253,plain,
% 10.32/10.50 ( c_Lambda_OdB_OVar(X0) != hAPP(hAPP(c_Lambda_OdB_OApp,X1),X2) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_185]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_184,plain,
% 10.32/10.50 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4535_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5251,plain,
% 10.32/10.50 ( ~ c_Lambda_Obeta(c_Lambda_OdB_OVar(X0),X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_184]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_183,plain,
% 10.32/10.50 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4546_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5249,plain,
% 10.32/10.50 ( c_Lambda_OdB_OAbs(X0) != c_Lambda_OdB_OVar(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_183]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_182,plain,
% 10.32/10.50 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4547_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5247,plain,
% 10.32/10.50 ( c_Lambda_OdB_OVar(X0) != c_Lambda_OdB_OAbs(X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_182]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_180,plain,
% 10.32/10.50 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4549_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5243,plain,
% 10.32/10.50 ( c_HOL_Ozero__class_Ozero(tc_nat) != c_Suc(X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_180]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_178,plain,
% 10.32/10.50 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4551_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5239,plain,
% 10.32/10.50 ( c_Suc(X0) != c_HOL_Ozero__class_Ozero(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_178]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_176,plain,
% 10.32/10.50 ( c_Suc(X0) != X0 ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4555_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5235,plain,( c_Suc(X0) != X0 ),inference(copy,[status(esa)],[c_176]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_172,plain,
% 10.32/10.50 ( c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3725_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5229,plain,
% 10.32/10.50 ( c_Type_Otyping(v_e____,v_u____,hAPP(hAPP(c_Type_Otype_OFun,v_T_H_H____),c_List_Ofoldr(c_Type_Otype_OFun,v_Ts____,v_T_H____,tc_Type_Otype,tc_Type_Otype))) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_172]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_160,plain,
% 10.32/10.50 ( 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)) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3818_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5214,plain,
% 10.32/10.50 ( 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)) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_160]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_158,plain,
% 10.32/10.50 ( c_List_Oappend(c_List_Oreplicate(X0,X1,X2),c_List_Oreplicate(X3,X1,X2),X2) = c_List_Oappend(c_List_Oreplicate(X3,X1,X2),c_List_Oreplicate(X0,X1,X2),X2) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_3866_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5211,plain,
% 10.32/10.50 ( c_List_Oappend(c_List_Oreplicate(X0,X1,X2),c_List_Oreplicate(X3,X1,X2),X2) = c_List_Oappend(c_List_Oreplicate(X3,X1,X2),c_List_Oreplicate(X0,X1,X2),X2) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_158]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_146,plain,
% 10.32/10.50 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4006_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5196,plain,
% 10.32/10.50 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_146]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_132,plain,
% 10.32/10.50 ( 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) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4112_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5181,plain,
% 10.32/10.50 ( 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) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_132]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_126,plain,
% 10.32/10.50 ( 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)) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4129_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5174,plain,
% 10.32/10.50 ( 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)) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_126]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_118,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4173_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5164,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0)),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_118]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_117,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4174_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5162,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(X0,c_Suc(hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1)),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_117]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_116,plain,
% 10.32/10.50 ( 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))) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4206_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5160,plain,
% 10.32/10.50 ( 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))) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_116]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_105,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4281_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5148,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),c_Suc(X0),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_105]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_104,plain,
% 10.32/10.50 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4282_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5146,plain,
% 10.32/10.50 ( c_lessequals(X0,c_HOL_Otimes__class_Otimes(X0,X0,tc_nat),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_104]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_103,plain,
% 10.32/10.50 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4283_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5144,plain,
% 10.32/10.50 ( c_lessequals(c_HOL_Ominus__class_Ominus(X0,X1,tc_nat),X0,tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_103]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_96,plain,
% 10.32/10.50 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4330_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5135,plain,
% 10.32/10.50 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_96]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_95,plain,
% 10.32/10.50 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4331_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5133,plain,
% 10.32/10.50 ( c_lessequals(X0,hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_95]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_93,plain,
% 10.32/10.50 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4373_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5130,plain,
% 10.32/10.50 ( c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X0,X1) = c_List_Oreplicate(c_HOL_Ozero__class_Ozero(tc_nat),X2,X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_93]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_92,plain,
% 10.32/10.50 ( 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) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4378_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5128,plain,
% 10.32/10.50 ( 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) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_92]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_91,plain,
% 10.32/10.50 ( 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) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4379_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5126,plain,
% 10.32/10.50 ( 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) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_91]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_89,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4394_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5123,plain,
% 10.32/10.50 ( c_HOL_Otimes__class_Otimes(X0,X1,tc_nat) = c_HOL_Otimes__class_Otimes(X1,X0,tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_89]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_88,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4433_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5121,plain,
% 10.32/10.50 ( hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X0),X1) = hAPP(hAPP(c_HOL_Oplus__class_Oplus(tc_nat),X1),X0) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_88]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_87,plain,
% 10.32/10.50 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4442_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5119,plain,
% 10.32/10.50 ( c_Type_Otyping(X0,c_Lambda_OdB_OVar(X1),hAPP(X0,X1)) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_87]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_77,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4475_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5108,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(c_HOL_Ozero__class_Ozero(tc_nat)),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_77]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_76,plain,
% 10.32/10.50 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4483_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5106,plain,
% 10.32/10.50 ( c_lessequals(c_Suc(X0),c_Suc(X0),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_76]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_73,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4495_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5101,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(c_HOL_Ozero__class_Ozero(tc_nat),c_Suc(X0),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_73]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_64,plain,
% 10.32/10.50 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4507_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5091,plain,
% 10.32/10.50 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),c_HOL_Ozero__class_Ozero(tc_nat),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_64]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_62,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4509_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5087,plain,
% 10.32/10.50 ( c_HOL_Oord__class_Oless(X0,c_Suc(X0),tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_62]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_51,plain,
% 10.32/10.50 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4520_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5075,plain,
% 10.32/10.50 ( c_lessequals(c_HOL_Ozero__class_Ozero(tc_nat),X0,tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_51]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_49,plain,
% 10.32/10.50 ( c_fequal(X0,X0,X1) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4522_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5072,plain,
% 10.32/10.50 ( c_fequal(X0,X0,X1) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_49]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_46,plain,
% 10.32/10.50 ( c_lessequals(X0,X0,tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4526_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5067,plain,
% 10.32/10.50 ( c_lessequals(X0,X0,tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_46]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_45,plain,
% 10.32/10.50 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4527_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5065,plain,
% 10.32/10.50 ( c_Type_Otyping(v_e____,v_u____,v_T____) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_45]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_40,plain,
% 10.32/10.50 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4552_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5059,plain,
% 10.32/10.50 ( c_InductTermi_OIT(c_Lambda_OdB_OVar(X0)) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_40]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_36,plain,
% 10.32/10.50 ( class_Power_Opower(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4558_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5054,plain,
% 10.32/10.50 ( class_Power_Opower(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_36]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_35,plain,
% 10.32/10.50 ( class_Orderings_Obot(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4559_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5052,plain,
% 10.32/10.50 ( class_Orderings_Obot(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_35]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_34,plain,
% 10.32/10.50 ( class_Orderings_Oorder(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4560_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5050,plain,
% 10.32/10.50 ( class_Orderings_Oorder(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_34]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_33,plain,
% 10.32/10.50 ( class_Orderings_Olinorder(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4561_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5048,plain,
% 10.32/10.50 ( class_Orderings_Olinorder(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_33]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_32,plain,
% 10.32/10.50 ( class_Orderings_Opreorder(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4562_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5046,plain,
% 10.32/10.50 ( class_Orderings_Opreorder(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_32]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_31,plain,
% 10.32/10.50 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4563_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5044,plain,
% 10.32/10.50 ( class_Nat_Osemiring__char__0(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_31]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_30,plain,
% 10.32/10.50 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4564_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5042,plain,
% 10.32/10.50 ( class_OrderedGroup_Omonoid__add(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_30]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_29,plain,
% 10.32/10.50 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4565_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5040,plain,
% 10.32/10.50 ( class_Ring__and__Field_Osemiring(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_29]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_28,plain,
% 10.32/10.50 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4566_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5038,plain,
% 10.32/10.50 ( class_OrderedGroup_Omonoid__mult(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_28]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_27,plain,
% 10.32/10.50 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4567_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5036,plain,
% 10.32/10.50 ( class_Ring__and__Field_Omult__mono(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_27]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_26,plain,
% 10.32/10.50 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4568_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5034,plain,
% 10.32/10.50 ( class_Ring__and__Field_Omult__zero(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_26]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_25,plain,
% 10.32/10.50 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4569_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5032,plain,
% 10.32/10.50 ( class_Ring__and__Field_Omult__mono1(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_25]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_24,plain,
% 10.32/10.50 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4570_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5030,plain,
% 10.32/10.50 ( class_Ring__and__Field_Osemiring__0(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_24]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_23,plain,
% 10.32/10.50 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4571_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5028,plain,
% 10.32/10.50 ( class_Ring__and__Field_Osemiring__1(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_23]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_22,plain,
% 10.32/10.50 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4572_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5026,plain,
% 10.32/10.50 ( class_OrderedGroup_Osemigroup__add(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_22]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_21,plain,
% 10.32/10.50 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4573_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5024,plain,
% 10.32/10.50 ( class_Ring__and__Field_Ozero__neq__one(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_21]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_20,plain,
% 10.32/10.50 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4574_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5022,plain,
% 10.32/10.50 ( class_OrderedGroup_Ocomm__monoid__add(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_20]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_19,plain,
% 10.32/10.50 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4575_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5020,plain,
% 10.32/10.50 ( class_Ring__and__Field_Ocomm__semiring(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_19]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_18,plain,
% 10.32/10.50 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4576_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5018,plain,
% 10.32/10.50 ( class_OrderedGroup_Oab__semigroup__add(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_18]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_17,plain,
% 10.32/10.50 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4577_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5016,plain,
% 10.32/10.50 ( class_OrderedGroup_Ocomm__monoid__mult(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_17]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_16,plain,
% 10.32/10.50 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4578_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5014,plain,
% 10.32/10.50 ( class_OrderedGroup_Oab__semigroup__mult(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_16]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_15,plain,
% 10.32/10.50 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4579_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5012,plain,
% 10.32/10.50 ( class_Ring__and__Field_Ocomm__semiring__1(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_15]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_14,plain,
% 10.32/10.50 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4580_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5010,plain,
% 10.32/10.50 ( class_Ring__and__Field_Oordered__semidom(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_14]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_13,plain,
% 10.32/10.50 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4581_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5008,plain,
% 10.32/10.50 ( class_Ring__and__Field_Ono__zero__divisors(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_13]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_12,plain,
% 10.32/10.50 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4582_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5006,plain,
% 10.32/10.50 ( class_Ring__and__Field_Oordered__semiring(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_12]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_11,plain,
% 10.32/10.50 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4583_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5004,plain,
% 10.32/10.50 ( class_Ring__and__Field_Opordered__semiring(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_11]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_10,plain,
% 10.32/10.50 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4584_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5002,plain,
% 10.32/10.50 ( class_OrderedGroup_Ocancel__semigroup__add(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_10]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_9,plain,
% 10.32/10.50 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4585_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5000,plain,
% 10.32/10.50 ( class_OrderedGroup_Ocancel__ab__semigroup__add(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_9]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_8,plain,
% 10.32/10.50 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4586_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_4998,plain,
% 10.32/10.50 ( class_OrderedGroup_Opordered__comm__monoid__add(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_8]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_7,plain,
% 10.32/10.50 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4587_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_4996,plain,
% 10.32/10.50 ( class_OrderedGroup_Opordered__ab__semigroup__add(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_7]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_6,plain,
% 10.32/10.50 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4588_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_4994,plain,
% 10.32/10.50 ( class_Ring__and__Field_Oordered__semiring__strict(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_6]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_5,plain,
% 10.32/10.50 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4589_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_4992,plain,
% 10.32/10.50 ( class_Ring__and__Field_Opordered__cancel__semiring(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_5]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_4,plain,
% 10.32/10.50 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4590_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_4990,plain,
% 10.32/10.50 ( class_Ring__and__Field_Oordered__comm__semiring__strict(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_4]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_3,plain,
% 10.32/10.50 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4591_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_4988,plain,
% 10.32/10.50 ( class_OrderedGroup_Opordered__ab__semigroup__add__imp__le(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_3]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_2,plain,
% 10.32/10.50 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4592_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_4986,plain,
% 10.32/10.50 ( class_OrderedGroup_Opordered__cancel__ab__semigroup__add(tc_nat) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_2]) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_1,plain,
% 10.32/10.50 ( c_InductTermi_OIT(v_u____) ),
% 10.32/10.50 file('/export/starexec/sandbox/tmp/iprover_modulo_8467a1.p', c_0_4593_0) ).
% 10.32/10.50
% 10.32/10.50 cnf(c_4984,plain,
% 10.32/10.50 ( c_InductTermi_OIT(v_u____) ),
% 10.32/10.50 inference(copy,[status(esa)],[c_1]) ).
% 10.32/10.50
% 10.32/10.50
% 10.32/10.50
% 10.32/10.50 % ------ Statistics
% 10.32/10.50
% 10.32/10.50 % ------ General
% 10.32/10.50
% 10.32/10.50 % num_of_input_clauses: 2198
% 10.32/10.50 % num_of_input_neg_conjectures: 1
% 10.32/10.50 % num_of_splits: 0
% 10.32/10.50 % num_of_split_atoms: 0
% 10.32/10.50 % num_of_sem_filtered_clauses: 0
% 10.32/10.50 % num_of_subtypes: 0
% 10.32/10.50 % monotx_restored_types: 0
% 10.32/10.50 % sat_num_of_epr_types: 0
% 10.32/10.50 % sat_num_of_non_cyclic_types: 0
% 10.32/10.50 % sat_guarded_non_collapsed_types: 0
% 10.32/10.50 % is_epr: 0
% 10.32/10.50 % is_horn: 0
% 10.32/10.50 % has_eq: 1
% 10.32/10.50 % num_pure_diseq_elim: 0
% 10.32/10.50 % simp_replaced_by: 0
% 10.32/10.50 % res_preprocessed: 2
% 10.32/10.50 % prep_upred: 0
% 10.32/10.50 % prep_unflattend: 0
% 10.32/10.50 % pred_elim_cands: 0
% 10.32/10.50 % pred_elim: 0
% 10.32/10.50 % pred_elim_cl: 0
% 10.32/10.50 % pred_elim_cycles: 0
% 10.32/10.50 % forced_gc_time: 0
% 10.32/10.50 % gc_basic_clause_elim: 0
% 10.32/10.50 % parsing_time: 0.117
% 10.32/10.50 % sem_filter_time: 0.
% 10.32/10.50 % pred_elim_time: 0.
% 10.32/10.50 % out_proof_time: 0.
% 10.32/10.50 % monotx_time: 0.
% 10.32/10.50 % subtype_inf_time: 0.
% 10.32/10.50 % unif_index_cands_time: 0.
% 10.32/10.50 % unif_index_add_time: 0.001
% 10.32/10.50 % total_time: 4.56
% 10.32/10.50 % num_of_symbols: 149
% 10.32/10.50 % num_of_terms: 4259
% 10.32/10.50
% 10.32/10.50 % ------ Propositional Solver
% 10.32/10.50
% 10.32/10.50 % prop_solver_calls: 1
% 10.32/10.50 % prop_fast_solver_calls: 3
% 10.32/10.50 % prop_num_of_clauses: 1951
% 10.32/10.50 % prop_preprocess_simplified: 6737
% 10.32/10.50 % prop_fo_subsumed: 0
% 10.32/10.50 % prop_solver_time: 0.
% 10.32/10.50 % prop_fast_solver_time: 0.
% 10.32/10.50 % prop_unsat_core_time: 0.
% 10.32/10.50
% 10.32/10.50 % ------ QBF
% 10.32/10.50
% 10.32/10.50 % qbf_q_res: 0
% 10.32/10.50 % qbf_num_tautologies: 0
% 10.32/10.50 % qbf_prep_cycles: 0
% 10.32/10.50
% 10.32/10.50 % ------ BMC1
% 10.32/10.50
% 10.32/10.50 % bmc1_current_bound: -1
% 10.32/10.50 % bmc1_last_solved_bound: -1
% 10.32/10.50 % bmc1_unsat_core_size: -1
% 10.32/10.50 % bmc1_unsat_core_parents_size: -1
% 10.32/10.50 % bmc1_merge_next_fun: 0
% 10.32/10.50 % bmc1_unsat_core_clauses_time: 0.
% 10.32/10.50
% 10.32/10.50 % ------ Instantiation
% 10.32/10.50
% 10.32/10.50 % inst_num_of_clauses: 1907
% 10.32/10.50 % inst_num_in_passive: 0
% 10.32/10.50 % inst_num_in_active: 0
% 10.32/10.50 % inst_num_in_unprocessed: 2198
% 10.32/10.50 % inst_num_of_loops: 0
% 10.32/10.50 % inst_num_of_learning_restarts: 0
% 10.32/10.50 % inst_num_moves_active_passive: 0
% 10.32/10.50 % inst_lit_activity: 0
% 10.32/10.50 % inst_lit_activity_moves: 0
% 10.32/10.50 % inst_num_tautologies: 0
% 10.32/10.50 % inst_num_prop_implied: 0
% 10.32/10.50 % inst_num_existing_simplified: 0
% 10.32/10.50 % inst_num_eq_res_simplified: 0
% 10.32/10.50 % inst_num_child_elim: 0
% 10.32/10.50 % inst_num_of_dismatching_blockings: 0
% 10.32/10.50 % inst_num_of_non_proper_insts: 0
% 10.32/10.50 % inst_num_of_duplicates: 0
% 10.32/10.50 % inst_inst_num_from_inst_to_res: 0
% 10.32/10.50 % inst_dismatching_checking_time: 0.
% 10.32/10.50
% 10.32/10.50 % ------ Resolution
% 10.32/10.50
% 10.32/10.50 % res_num_of_clauses: 2084
% 10.32/10.50 % res_num_in_passive: 0
% 10.32/10.50 % res_num_in_active: 793
% 10.32/10.50 % res_num_of_loops: 3
% 10.32/10.50 % res_forward_subset_subsumed: 1305
% 10.32/10.50 % res_backward_subset_subsumed: 0
% 10.32/10.50 % res_forward_subsumed: 1
% 10.32/10.50 % res_backward_subsumed: 0
% 10.32/10.50 % res_forward_subsumption_resolution: 0
% 10.32/10.50 % res_backward_subsumption_resolution: 0
% 10.32/10.50 % res_clause_to_clause_subsumption: 1
% 10.32/10.50 % res_orphan_elimination: 0
% 10.32/10.50 % res_tautology_del: 0
% 10.32/10.50 % res_num_eq_res_simplified: 0
% 10.32/10.50 % res_num_sel_changes: 0
% 10.32/10.50 % res_moves_from_active_to_pass: 0
% 10.32/10.50
% 10.32/10.50 % Status Unknown
% 10.32/10.50 % Last status :
% 10.32/10.50 % SZS status Unknown
%------------------------------------------------------------------------------